2.404 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.027 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (* h1 (- (sqrt (+ (* h2 h2) (* h3 h3))) h2)))) 0.029 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.030 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.032 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.033 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.034 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.034 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.055 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.098 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.124 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.134 * * * [progress]: generating series expansions 0.134 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.134 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.134 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.134 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of (pow re 2) 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 (pow im 2) 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 0.135 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.135 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.135 * [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 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [backup-simplify]: Simplify im into im 0.136 * [backup-simplify]: Simplify (* 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 0.136 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.136 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow re 2) 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 (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [backup-simplify]: Simplify im into im 0.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.136 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.137 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.137 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.137 * [taylor]: Taking taylor expansion of im in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.139 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.139 * [taylor]: Taking taylor expansion of 1/2 in im 0.139 * [backup-simplify]: Simplify 1/2 into 1/2 0.139 * [taylor]: Taking taylor expansion of im in im 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.142 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.142 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.142 * [taylor]: Taking taylor expansion of im in im 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.143 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.143 * [taylor]: Taking taylor expansion of re in im 0.143 * [backup-simplify]: Simplify re into re 0.143 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.143 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (sqrt 1) into 1 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.145 * [taylor]: Taking taylor expansion of im in re 0.145 * [backup-simplify]: Simplify im into im 0.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify (+ 0 1) into 1 0.146 * [backup-simplify]: Simplify (sqrt 1) into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.148 * [taylor]: Taking taylor expansion of im in re 0.148 * [backup-simplify]: Simplify im into im 0.151 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.151 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.152 * [backup-simplify]: Simplify (sqrt 1) into 1 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.154 * [taylor]: Taking taylor expansion of 1 in im 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.156 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.156 * [taylor]: Taking taylor expansion of 1/2 in im 0.156 * [backup-simplify]: Simplify 1/2 into 1/2 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.161 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.161 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.162 * [taylor]: Taking taylor expansion of re in im 0.162 * [backup-simplify]: Simplify re into re 0.162 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (sqrt 1) into 1 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [backup-simplify]: Simplify im into im 0.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) 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 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (sqrt 1) into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.167 * [backup-simplify]: Simplify im into im 0.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (sqrt 1) into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 * [taylor]: Taking taylor expansion of 1 in im 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.171 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.171 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of 1/2 in im 0.171 * [backup-simplify]: Simplify 1/2 into 1/2 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in im 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.176 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.176 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.176 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.176 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.176 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.176 * [taylor]: Taking taylor expansion of re in im 0.176 * [backup-simplify]: Simplify re into re 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.176 * [taylor]: Taking taylor expansion of im in im 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.177 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.177 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.177 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.177 * [taylor]: Taking taylor expansion of re in im 0.177 * [backup-simplify]: Simplify re into re 0.177 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.177 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.177 * [taylor]: Taking taylor expansion of im in re 0.177 * [backup-simplify]: Simplify im into im 0.177 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.177 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.177 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.177 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.178 * [backup-simplify]: Simplify im into im 0.178 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.178 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.178 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.178 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.179 * [taylor]: Taking taylor expansion of re in re 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ im 0) into im 0.179 * [taylor]: Taking taylor expansion of im in im 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (- 1) into -1 0.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.180 * [taylor]: Taking taylor expansion of -1 in im 0.180 * [backup-simplify]: Simplify -1 into -1 0.180 * [backup-simplify]: Simplify -1 into -1 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.181 * [taylor]: Taking taylor expansion of 1/2 in im 0.181 * [backup-simplify]: Simplify 1/2 into 1/2 0.181 * [taylor]: Taking taylor expansion of (/ 1 im) in im 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 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [taylor]: Taking taylor expansion of 0 in im 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.186 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.186 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.186 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.186 * [taylor]: Taking taylor expansion of im in im 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.186 * [taylor]: Taking taylor expansion of re in im 0.186 * [backup-simplify]: Simplify re into re 0.186 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (sqrt 1) into 1 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.188 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.188 * [taylor]: Taking taylor expansion of re in im 0.188 * [backup-simplify]: Simplify re into re 0.188 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.189 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.189 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.189 * [taylor]: Taking taylor expansion of im in re 0.189 * [backup-simplify]: Simplify im into im 0.189 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.189 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (+ 0 1) into 1 0.190 * [backup-simplify]: Simplify (sqrt 1) into 1 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.191 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.191 * [taylor]: Taking taylor expansion of re in re 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.192 * [taylor]: Taking taylor expansion of im in re 0.192 * [backup-simplify]: Simplify im into im 0.192 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.192 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.192 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.192 * [taylor]: Taking taylor expansion of re in re 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (+ 0 1) into 1 0.193 * [backup-simplify]: Simplify (sqrt 1) into 1 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.194 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.194 * [taylor]: Taking taylor expansion of re in re 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (- 1) into -1 0.195 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.198 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.199 * [taylor]: Taking taylor expansion of 1/2 in im 0.199 * [backup-simplify]: Simplify 1/2 into 1/2 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.199 * [taylor]: Taking taylor expansion of im in im 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) 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) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.205 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.206 * [backup-simplify]: Simplify re into re 0.206 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.206 * [backup-simplify]: Simplify re into re 0.206 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.206 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (sqrt 1) into 1 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.208 * [taylor]: Taking taylor expansion of re in re 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.209 * [taylor]: Taking taylor expansion of im in re 0.209 * [backup-simplify]: Simplify im into im 0.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ 0 1) into 1 0.210 * [backup-simplify]: Simplify (sqrt 1) into 1 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.212 * [taylor]: Taking taylor expansion of im in re 0.212 * [backup-simplify]: Simplify im into im 0.212 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.212 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [backup-simplify]: Simplify (+ 0 1) into 1 0.213 * [backup-simplify]: Simplify (sqrt 1) into 1 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.215 * [backup-simplify]: Simplify (+ 1 1) into 2 0.215 * [taylor]: Taking taylor expansion of 2 in im 0.215 * [backup-simplify]: Simplify 2 into 2 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 2 into 2 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.218 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.218 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.218 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.218 * [taylor]: Taking taylor expansion of 1/2 in im 0.218 * [backup-simplify]: Simplify 1/2 into 1/2 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.218 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.218 * [taylor]: Taking taylor expansion of im in im 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [taylor]: Taking taylor expansion of 0 in im 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 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 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.225 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.225 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.225 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.225 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) 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 0.225 * [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 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.226 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.226 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.226 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.226 * [taylor]: Taking taylor expansion of re in im 0.226 * [backup-simplify]: Simplify re into re 0.226 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.226 * [taylor]: Taking taylor expansion of im in im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.226 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.226 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.226 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.226 * [taylor]: Taking taylor expansion of re in im 0.227 * [backup-simplify]: Simplify re into re 0.227 * [backup-simplify]: Simplify (- re) into (- re) 0.227 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (+ 0 1) into 1 0.228 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.229 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.229 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.230 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) 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 0.231 * [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 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.231 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.231 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.231 * [taylor]: Taking taylor expansion of (pow re 2) 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 (pow im 2) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [backup-simplify]: Simplify im into im 0.231 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.231 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.232 * [taylor]: Taking taylor expansion of re in re 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ im 0) into im 0.232 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.232 * [backup-simplify]: Simplify (- 1) into -1 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 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.233 * [taylor]: Taking taylor expansion of 2.0 in re 0.233 * [backup-simplify]: Simplify 2.0 into 2.0 0.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.234 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.234 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.234 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.234 * [taylor]: Taking taylor expansion of (pow re 2) 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 (pow im 2) in re 0.234 * [taylor]: Taking taylor expansion of im in re 0.234 * [backup-simplify]: Simplify im into im 0.234 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.234 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.234 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ im 0) into im 0.235 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.235 * [backup-simplify]: Simplify (- 1) into -1 0.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.235 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.236 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.236 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.236 * [backup-simplify]: Simplify 2.0 into 2.0 0.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.236 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (sqrt 0) into 0 0.238 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.239 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.240 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.240 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.240 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.240 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.240 * [taylor]: Taking taylor expansion of 1/2 in im 0.240 * [backup-simplify]: Simplify 1/2 into 1/2 0.240 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.240 * [taylor]: Taking taylor expansion of 2.0 in im 0.240 * [backup-simplify]: Simplify 2.0 into 2.0 0.241 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.241 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (sqrt 0) into 0 0.242 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.247 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.251 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.251 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.255 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.256 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.258 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.258 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.260 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.261 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.264 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.264 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.264 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.264 * [taylor]: Taking taylor expansion of 2.0 in im 0.264 * [backup-simplify]: Simplify 2.0 into 2.0 0.265 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.265 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.266 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.266 * [taylor]: Taking taylor expansion of re in im 0.266 * [backup-simplify]: Simplify re into re 0.266 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.266 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (sqrt 1) into 1 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.268 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.268 * [taylor]: Taking taylor expansion of re in im 0.268 * [backup-simplify]: Simplify re into re 0.268 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (sqrt 0) into 0 0.269 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.269 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.269 * [taylor]: Taking taylor expansion of 2.0 in re 0.269 * [backup-simplify]: Simplify 2.0 into 2.0 0.270 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.270 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.270 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.270 * [taylor]: Taking taylor expansion of im in re 0.270 * [backup-simplify]: Simplify im into im 0.270 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.270 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.270 * [taylor]: Taking taylor expansion of re in re 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (+ 0 1) into 1 0.271 * [backup-simplify]: Simplify (sqrt 1) into 1 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (- 1) into -1 0.274 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.276 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.277 * [backup-simplify]: Simplify (sqrt 0) into 0 0.278 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.278 * [taylor]: Taking taylor expansion of 2.0 in re 0.278 * [backup-simplify]: Simplify 2.0 into 2.0 0.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.279 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.279 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.279 * [taylor]: Taking taylor expansion of im in re 0.279 * [backup-simplify]: Simplify im into im 0.279 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.279 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.279 * [taylor]: Taking taylor expansion of re in re 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (+ 0 1) into 1 0.280 * [backup-simplify]: Simplify (sqrt 1) into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.285 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.286 * [backup-simplify]: Simplify (sqrt 0) into 0 0.287 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.287 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in im 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.288 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.288 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.288 * [taylor]: Taking taylor expansion of +nan.0 in im 0.288 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.288 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.288 * [taylor]: Taking taylor expansion of 2.0 in im 0.288 * [backup-simplify]: Simplify 2.0 into 2.0 0.288 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.289 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.289 * [taylor]: Taking taylor expansion of im in im 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.295 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.296 * [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)))) 0.296 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.296 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.296 * [taylor]: Taking taylor expansion of +nan.0 in im 0.296 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.296 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.296 * [taylor]: Taking taylor expansion of 2.0 in im 0.296 * [backup-simplify]: Simplify 2.0 into 2.0 0.296 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.297 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.312 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.313 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.313 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.313 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.313 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) 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) (pow im 4)) in im 0.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.314 * [taylor]: Taking taylor expansion of 2.0 in im 0.314 * [backup-simplify]: Simplify 2.0 into 2.0 0.314 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.314 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.314 * [taylor]: Taking taylor expansion of im in im 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.316 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.316 * [taylor]: Taking taylor expansion of +nan.0 in im 0.316 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.316 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.316 * [taylor]: Taking taylor expansion of 2.0 in im 0.316 * [backup-simplify]: Simplify 2.0 into 2.0 0.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.316 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.316 * [taylor]: Taking taylor expansion of im in im 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.318 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.343 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.343 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.343 * [taylor]: Taking taylor expansion of 2.0 in im 0.343 * [backup-simplify]: Simplify 2.0 into 2.0 0.343 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.344 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.344 * [taylor]: Taking taylor expansion of re in im 0.344 * [backup-simplify]: Simplify re into re 0.344 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.345 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.345 * [taylor]: Taking taylor expansion of re in im 0.345 * [backup-simplify]: Simplify re into re 0.345 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.345 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.345 * [backup-simplify]: Simplify (+ 1 0) into 1 0.345 * [backup-simplify]: Simplify (sqrt 1) into 1 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 1) into 1 0.347 * [backup-simplify]: Simplify (sqrt 0) into 0 0.348 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.348 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.348 * [taylor]: Taking taylor expansion of 2.0 in re 0.348 * [backup-simplify]: Simplify 2.0 into 2.0 0.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.349 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.349 * [taylor]: Taking taylor expansion of re in re 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.349 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.349 * [taylor]: Taking taylor expansion of im in re 0.349 * [backup-simplify]: Simplify im into im 0.349 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.349 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.349 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.349 * [taylor]: Taking taylor expansion of re in re 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ 0 1) into 1 0.350 * [backup-simplify]: Simplify (sqrt 1) into 1 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.352 * [backup-simplify]: Simplify (+ 1 1) into 2 0.352 * [backup-simplify]: Simplify (sqrt 0) into 0 0.353 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.353 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.353 * [taylor]: Taking taylor expansion of 2.0 in re 0.353 * [backup-simplify]: Simplify 2.0 into 2.0 0.353 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [backup-simplify]: Simplify im into im 0.354 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.354 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ 0 1) into 1 0.355 * [backup-simplify]: Simplify (sqrt 1) into 1 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.357 * [backup-simplify]: Simplify (+ 1 1) into 2 0.357 * [backup-simplify]: Simplify (sqrt 0) into 0 0.358 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.358 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.358 * [taylor]: Taking taylor expansion of 0 in im 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.359 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.359 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.360 * [taylor]: Taking taylor expansion of +nan.0 in im 0.360 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.360 * [taylor]: Taking taylor expansion of 2.0 in im 0.360 * [backup-simplify]: Simplify 2.0 into 2.0 0.360 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.365 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.365 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.365 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.365 * [taylor]: Taking taylor expansion of +nan.0 in im 0.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.365 * [taylor]: Taking taylor expansion of 2.0 in im 0.365 * [backup-simplify]: Simplify 2.0 into 2.0 0.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.366 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.367 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.368 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.370 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.370 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.372 * [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)) 0.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.373 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.373 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.373 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.373 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.373 * [taylor]: Taking taylor expansion of +nan.0 in im 0.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.373 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.373 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.373 * [taylor]: Taking taylor expansion of 2.0 in im 0.373 * [backup-simplify]: Simplify 2.0 into 2.0 0.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.374 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.375 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.375 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.375 * [taylor]: Taking taylor expansion of +nan.0 in im 0.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.375 * [taylor]: Taking taylor expansion of 2.0 in im 0.375 * [backup-simplify]: Simplify 2.0 into 2.0 0.375 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.379 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.380 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.380 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [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))) 0.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.386 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.386 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.386 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.386 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.386 * [taylor]: Taking taylor expansion of +nan.0 in im 0.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.386 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.386 * [taylor]: Taking taylor expansion of 2.0 in im 0.386 * [backup-simplify]: Simplify 2.0 into 2.0 0.387 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.387 * [taylor]: Taking taylor expansion of im in im 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.388 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.388 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.388 * [taylor]: Taking taylor expansion of +nan.0 in im 0.388 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.388 * [taylor]: Taking taylor expansion of 2.0 in im 0.388 * [backup-simplify]: Simplify 2.0 into 2.0 0.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.393 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.394 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.396 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.397 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.398 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.401 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.401 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.401 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.401 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.401 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.401 * [taylor]: Taking taylor expansion of re in im 0.401 * [backup-simplify]: Simplify re into re 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.401 * [taylor]: Taking taylor expansion of im in im 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [backup-simplify]: Simplify im into im 0.401 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [backup-simplify]: Simplify im into im 0.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.401 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.401 * [taylor]: Taking taylor expansion of im in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.403 * [backup-simplify]: Simplify (+ 1 0) into 1 0.403 * [taylor]: Taking taylor expansion of 1 in im 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [taylor]: Taking taylor expansion of 0 in im 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.407 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.407 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.407 * [taylor]: Taking taylor expansion of im in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.407 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.407 * [taylor]: Taking taylor expansion of re in im 0.407 * [backup-simplify]: Simplify re into re 0.407 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.407 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.407 * [taylor]: Taking taylor expansion of im in re 0.407 * [backup-simplify]: Simplify im into im 0.407 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.408 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.408 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.408 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.408 * [taylor]: Taking taylor expansion of im in re 0.408 * [backup-simplify]: Simplify im into im 0.408 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.408 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.408 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (+ 0 1) into 1 0.409 * [taylor]: Taking taylor expansion of 1 in im 0.409 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [taylor]: Taking taylor expansion of 0 in im 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.411 * [taylor]: Taking taylor expansion of im in im 0.411 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [taylor]: Taking taylor expansion of 0 in im 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in im 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.418 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.418 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.418 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.418 * [taylor]: Taking taylor expansion of im in im 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.419 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.419 * [taylor]: Taking taylor expansion of re in im 0.419 * [backup-simplify]: Simplify re into re 0.419 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.419 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.419 * [taylor]: Taking taylor expansion of im in re 0.419 * [backup-simplify]: Simplify im into im 0.419 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.419 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.420 * [taylor]: Taking taylor expansion of im in re 0.420 * [backup-simplify]: Simplify im into im 0.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.420 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.420 * [taylor]: Taking taylor expansion of re in re 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (+ 0 1) into 1 0.421 * [taylor]: Taking taylor expansion of 1 in im 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [taylor]: Taking taylor expansion of 0 in im 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.423 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.423 * [taylor]: Taking taylor expansion of im in im 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in im 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [taylor]: Taking taylor expansion of 0 in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.430 * * * [progress]: simplifying candidates 0.431 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.431 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (- (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- h0) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (+ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (- h0) (log (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (exp (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (* (cbrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (* (* (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt h2) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (* h2 (- (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)))) (sqrt (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (* h2 (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)))) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (- h1 h0) 0 (* -2 h0) (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h1)) (- (* h3 (* (sqrt h2) (* h1 h0)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (* h3 (/ (sqrt h2) h0))))))) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.438 * * [simplify]: iteration 0 : 258 enodes (cost 459 ) 0.443 * * [simplify]: iteration 1 : 938 enodes (cost 422 ) 0.458 * * [simplify]: iteration 2 : 3098 enodes (cost 412 ) 0.521 * * [simplify]: iteration 3 : 5001 enodes (cost 410 ) 0.524 * * * [progress]: adding candidates to table 0.695 * * [progress]: iteration 2 / 4 0.695 * * * [progress]: picking best candidate 0.711 * * * * [pick]: Picked # 0.711 * * * [progress]: localizing error 0.724 * * * [progress]: generating rewritten candidates 0.724 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 0.732 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.740 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.781 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.841 * * * [progress]: generating series expansions 0.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 0.841 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.841 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.841 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.841 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.841 * [taylor]: Taking taylor expansion of re in im 0.841 * [backup-simplify]: Simplify re into re 0.841 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.841 * [taylor]: Taking taylor expansion of im in im 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.841 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.841 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.842 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.842 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.842 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.842 * [taylor]: Taking taylor expansion of im in re 0.842 * [backup-simplify]: Simplify im into im 0.842 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.842 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.843 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.843 * [backup-simplify]: Simplify (+ 0 0) into 0 0.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.843 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.843 * [taylor]: Taking taylor expansion of re in re 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.843 * [taylor]: Taking taylor expansion of im in re 0.843 * [backup-simplify]: Simplify im into im 0.843 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.843 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.843 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.844 * [taylor]: Taking taylor expansion of im in im 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [taylor]: Taking taylor expansion of 0 in im 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify (* 1 1) into 1 0.845 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.845 * [backup-simplify]: Simplify (+ 1 0) into 1 0.845 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.845 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.845 * [taylor]: Taking taylor expansion of 1/2 in im 0.845 * [backup-simplify]: Simplify 1/2 into 1/2 0.845 * [taylor]: Taking taylor expansion of im in im 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.847 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in im 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.849 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.849 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.849 * [taylor]: Taking taylor expansion of im in im 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.849 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.849 * [taylor]: Taking taylor expansion of re in im 0.849 * [backup-simplify]: Simplify re into re 0.849 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.850 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.850 * [backup-simplify]: Simplify (+ 1 0) into 1 0.850 * [backup-simplify]: Simplify (sqrt 1) into 1 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.852 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.852 * [taylor]: Taking taylor expansion of im in re 0.852 * [backup-simplify]: Simplify im into im 0.852 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.852 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (* 1 1) into 1 0.852 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [backup-simplify]: Simplify (+ 0 1) into 1 0.853 * [backup-simplify]: Simplify (sqrt 1) into 1 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ 0 0) into 0 0.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.854 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.854 * [taylor]: Taking taylor expansion of im in re 0.854 * [backup-simplify]: Simplify im into im 0.854 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.854 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.854 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.854 * [taylor]: Taking taylor expansion of re in re 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (* 1 1) into 1 0.855 * [backup-simplify]: Simplify (/ 1 1) into 1 0.855 * [backup-simplify]: Simplify (+ 0 1) into 1 0.855 * [backup-simplify]: Simplify (sqrt 1) into 1 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.857 * [taylor]: Taking taylor expansion of 1 in im 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [taylor]: Taking taylor expansion of 0 in im 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.859 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.859 * [taylor]: Taking taylor expansion of 1/2 in im 0.859 * [backup-simplify]: Simplify 1/2 into 1/2 0.859 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.859 * [taylor]: Taking taylor expansion of im in im 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (* 1 1) into 1 0.860 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.863 * [taylor]: Taking taylor expansion of 0 in im 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.864 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.864 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.864 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.864 * [taylor]: Taking taylor expansion of im in im 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (* 1 1) into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.865 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.865 * [taylor]: Taking taylor expansion of re in im 0.865 * [backup-simplify]: Simplify re into re 0.865 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.865 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.865 * [backup-simplify]: Simplify (+ 1 0) into 1 0.865 * [backup-simplify]: Simplify (sqrt 1) into 1 0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.867 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.867 * [taylor]: Taking taylor expansion of im in re 0.867 * [backup-simplify]: Simplify im into im 0.867 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.867 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.867 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.867 * [taylor]: Taking taylor expansion of re in re 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [backup-simplify]: Simplify (+ 0 1) into 1 0.868 * [backup-simplify]: Simplify (sqrt 1) into 1 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.870 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.870 * [taylor]: Taking taylor expansion of im in re 0.870 * [backup-simplify]: Simplify im into im 0.870 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.870 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.870 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.870 * [taylor]: Taking taylor expansion of re in re 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (* 1 1) into 1 0.870 * [backup-simplify]: Simplify (/ 1 1) into 1 0.871 * [backup-simplify]: Simplify (+ 0 1) into 1 0.871 * [backup-simplify]: Simplify (sqrt 1) into 1 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.872 * [taylor]: Taking taylor expansion of 1 in im 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [taylor]: Taking taylor expansion of 0 in im 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.874 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.874 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.875 * [taylor]: Taking taylor expansion of 1/2 in im 0.875 * [backup-simplify]: Simplify 1/2 into 1/2 0.875 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (* 1 1) into 1 0.875 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.878 * [taylor]: Taking taylor expansion of 0 in im 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.879 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 0.879 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.879 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.879 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.879 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.879 * [taylor]: Taking taylor expansion of re in im 0.879 * [backup-simplify]: Simplify re into re 0.879 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.880 * [taylor]: Taking taylor expansion of im in im 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.880 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.880 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.880 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.880 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.880 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.880 * [taylor]: Taking taylor expansion of im in re 0.880 * [backup-simplify]: Simplify im into im 0.880 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.880 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.881 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.881 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.881 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.881 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.881 * [taylor]: Taking taylor expansion of re in re 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.881 * [taylor]: Taking taylor expansion of im in re 0.881 * [backup-simplify]: Simplify im into im 0.881 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.881 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.882 * [taylor]: Taking taylor expansion of im in im 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [taylor]: Taking taylor expansion of 0 in im 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (* 1 1) into 1 0.882 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.883 * [backup-simplify]: Simplify (+ 1 0) into 1 0.883 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.883 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.883 * [taylor]: Taking taylor expansion of 1/2 in im 0.883 * [backup-simplify]: Simplify 1/2 into 1/2 0.883 * [taylor]: Taking taylor expansion of im in im 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.885 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.885 * [backup-simplify]: Simplify (+ 0 0) into 0 0.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.885 * [taylor]: Taking taylor expansion of 0 in im 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.886 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.886 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.886 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.886 * [taylor]: Taking taylor expansion of im in im 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (* 1 1) into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.887 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.887 * [taylor]: Taking taylor expansion of re in im 0.887 * [backup-simplify]: Simplify re into re 0.887 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.887 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.887 * [backup-simplify]: Simplify (+ 1 0) into 1 0.887 * [backup-simplify]: Simplify (sqrt 1) into 1 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.889 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.889 * [taylor]: Taking taylor expansion of im in re 0.889 * [backup-simplify]: Simplify im into im 0.889 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.889 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.889 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.889 * [taylor]: Taking taylor expansion of re in re 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (* 1 1) into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [backup-simplify]: Simplify (+ 0 1) into 1 0.890 * [backup-simplify]: Simplify (sqrt 1) into 1 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (+ 0 0) into 0 0.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.892 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.892 * [taylor]: Taking taylor expansion of im in re 0.892 * [backup-simplify]: Simplify im into im 0.892 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.892 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.892 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.892 * [taylor]: Taking taylor expansion of re in re 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.893 * [backup-simplify]: Simplify (+ 0 1) into 1 0.893 * [backup-simplify]: Simplify (sqrt 1) into 1 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.894 * [taylor]: Taking taylor expansion of 1 in im 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [taylor]: Taking taylor expansion of 0 in im 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.900 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.900 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.900 * [taylor]: Taking taylor expansion of 1/2 in im 0.900 * [backup-simplify]: Simplify 1/2 into 1/2 0.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.900 * [taylor]: Taking taylor expansion of im in im 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (* 1 1) into 1 0.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.903 * [taylor]: Taking taylor expansion of 0 in im 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.905 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.905 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.905 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.905 * [taylor]: Taking taylor expansion of im in im 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.905 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.905 * [taylor]: Taking taylor expansion of re in im 0.905 * [backup-simplify]: Simplify re into re 0.905 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.905 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.906 * [backup-simplify]: Simplify (+ 1 0) into 1 0.906 * [backup-simplify]: Simplify (sqrt 1) into 1 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.907 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.907 * [taylor]: Taking taylor expansion of im in re 0.907 * [backup-simplify]: Simplify im into im 0.908 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.908 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.908 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.908 * [taylor]: Taking taylor expansion of re in re 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (* 1 1) into 1 0.908 * [backup-simplify]: Simplify (/ 1 1) into 1 0.908 * [backup-simplify]: Simplify (+ 0 1) into 1 0.909 * [backup-simplify]: Simplify (sqrt 1) into 1 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.910 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.910 * [backup-simplify]: Simplify im into im 0.910 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.910 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.910 * [taylor]: Taking taylor expansion of re in re 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (* 1 1) into 1 0.911 * [backup-simplify]: Simplify (/ 1 1) into 1 0.911 * [backup-simplify]: Simplify (+ 0 1) into 1 0.911 * [backup-simplify]: Simplify (sqrt 1) into 1 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.913 * [taylor]: Taking taylor expansion of 1 in im 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [taylor]: Taking taylor expansion of 0 in im 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.915 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.915 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.915 * [taylor]: Taking taylor expansion of 1/2 in im 0.915 * [backup-simplify]: Simplify 1/2 into 1/2 0.915 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (* 1 1) into 1 0.915 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.918 * [taylor]: Taking taylor expansion of 0 in im 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.920 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.920 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.920 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.920 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.920 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.920 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.920 * [taylor]: Taking taylor expansion of re in im 0.920 * [backup-simplify]: Simplify re into re 0.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.920 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.920 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.920 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.921 * [taylor]: Taking taylor expansion of re in im 0.921 * [backup-simplify]: Simplify re into re 0.921 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.921 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.921 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.921 * [taylor]: Taking taylor expansion of re in re 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.921 * [backup-simplify]: Simplify im into im 0.921 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.921 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.921 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.921 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.922 * [taylor]: Taking taylor expansion of re in re 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.922 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.922 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.922 * [taylor]: Taking taylor expansion of re in re 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.922 * [taylor]: Taking taylor expansion of im in re 0.922 * [backup-simplify]: Simplify im into im 0.922 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.922 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.922 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.922 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.922 * [taylor]: Taking taylor expansion of re in re 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (- 0) into 0 0.923 * [backup-simplify]: Simplify (+ im 0) into im 0.923 * [taylor]: Taking taylor expansion of im in im 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (- 1) into -1 0.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.924 * [taylor]: Taking taylor expansion of -1 in im 0.924 * [backup-simplify]: Simplify -1 into -1 0.924 * [backup-simplify]: Simplify -1 into -1 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (* 1 1) into 1 0.924 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.924 * [backup-simplify]: Simplify (+ 1 0) into 1 0.925 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.925 * [backup-simplify]: Simplify (- 0) into 0 0.925 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.925 * [taylor]: Taking taylor expansion of 1/2 in im 0.925 * [backup-simplify]: Simplify 1/2 into 1/2 0.925 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.925 * [taylor]: Taking taylor expansion of im in im 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (/ 1 1) into 1 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.927 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.928 * [backup-simplify]: Simplify (- 0) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [taylor]: Taking taylor expansion of 0 in im 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.930 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.930 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.930 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.930 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [backup-simplify]: Simplify re into re 0.930 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.931 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.931 * [backup-simplify]: Simplify (+ 1 0) into 1 0.931 * [backup-simplify]: Simplify (sqrt 1) into 1 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (+ 0 0) into 0 0.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.932 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.932 * [taylor]: Taking taylor expansion of re in im 0.932 * [backup-simplify]: Simplify re into re 0.933 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.933 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.933 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.933 * [taylor]: Taking taylor expansion of im in re 0.933 * [backup-simplify]: Simplify im into im 0.933 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.933 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.933 * [taylor]: Taking taylor expansion of re in re 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (* 1 1) into 1 0.933 * [backup-simplify]: Simplify (/ 1 1) into 1 0.934 * [backup-simplify]: Simplify (+ 0 1) into 1 0.934 * [backup-simplify]: Simplify (sqrt 1) into 1 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.935 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.935 * [taylor]: Taking taylor expansion of re in re 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.936 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.936 * [taylor]: Taking taylor expansion of im in re 0.936 * [backup-simplify]: Simplify im into im 0.936 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.936 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (* 1 1) into 1 0.936 * [backup-simplify]: Simplify (/ 1 1) into 1 0.937 * [backup-simplify]: Simplify (+ 0 1) into 1 0.937 * [backup-simplify]: Simplify (sqrt 1) into 1 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.938 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.938 * [taylor]: Taking taylor expansion of re in re 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (/ 1 1) into 1 0.939 * [backup-simplify]: Simplify (- 1) into -1 0.939 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.939 * [taylor]: Taking taylor expansion of 0 in im 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [taylor]: Taking taylor expansion of 0 in im 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.943 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.943 * [taylor]: Taking taylor expansion of 1/2 in im 0.943 * [backup-simplify]: Simplify 1/2 into 1/2 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.943 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.943 * [taylor]: Taking taylor expansion of im in im 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (* 1 1) into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (- 0) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [taylor]: Taking taylor expansion of 0 in im 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.950 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.950 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.950 * [taylor]: Taking taylor expansion of re in im 0.950 * [backup-simplify]: Simplify re into re 0.950 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.950 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.950 * [taylor]: Taking taylor expansion of im in im 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (* 1 1) into 1 0.950 * [backup-simplify]: Simplify (/ 1 1) into 1 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.950 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.950 * [taylor]: Taking taylor expansion of re in im 0.951 * [backup-simplify]: Simplify re into re 0.951 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.951 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.951 * [backup-simplify]: Simplify (+ 1 0) into 1 0.951 * [backup-simplify]: Simplify (sqrt 1) into 1 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.953 * [taylor]: Taking taylor expansion of re in re 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify (/ 1 1) into 1 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.953 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.953 * [taylor]: Taking taylor expansion of im in re 0.953 * [backup-simplify]: Simplify im into im 0.953 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.953 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.953 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.953 * [taylor]: Taking taylor expansion of re in re 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (* 1 1) into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.954 * [backup-simplify]: Simplify (+ 0 1) into 1 0.954 * [backup-simplify]: Simplify (sqrt 1) into 1 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (/ 1 1) into 1 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.956 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.956 * [taylor]: Taking taylor expansion of im in re 0.956 * [backup-simplify]: Simplify im into im 0.956 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.956 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.956 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.956 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (* 1 1) into 1 0.957 * [backup-simplify]: Simplify (/ 1 1) into 1 0.957 * [backup-simplify]: Simplify (+ 0 1) into 1 0.957 * [backup-simplify]: Simplify (sqrt 1) into 1 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.959 * [backup-simplify]: Simplify (+ 1 1) into 2 0.959 * [taylor]: Taking taylor expansion of 2 in im 0.959 * [backup-simplify]: Simplify 2 into 2 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [taylor]: Taking taylor expansion of 0 in im 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 2 into 2 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.962 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.962 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.962 * [taylor]: Taking taylor expansion of 1/2 in im 0.962 * [backup-simplify]: Simplify 1/2 into 1/2 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.963 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.963 * [taylor]: Taking taylor expansion of im in im 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (* 1 1) into 1 0.963 * [backup-simplify]: Simplify (/ 1 1) into 1 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [taylor]: Taking taylor expansion of 0 in im 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.969 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 0.969 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 0.969 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.969 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.969 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.969 * [taylor]: Taking taylor expansion of re in im 0.969 * [backup-simplify]: Simplify re into re 0.969 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.969 * [taylor]: Taking taylor expansion of im in im 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.969 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.969 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.969 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.970 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.970 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.970 * [taylor]: Taking taylor expansion of re in re 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.970 * [taylor]: Taking taylor expansion of im in re 0.970 * [backup-simplify]: Simplify im into im 0.970 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.970 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.970 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.970 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.971 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.971 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.971 * [taylor]: Taking taylor expansion of re in re 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.971 * [taylor]: Taking taylor expansion of im in re 0.971 * [backup-simplify]: Simplify im into im 0.971 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.971 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.971 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.971 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.971 * [taylor]: Taking taylor expansion of im in im 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [taylor]: Taking taylor expansion of 0 in im 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (* 1 1) into 1 0.972 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.972 * [backup-simplify]: Simplify (+ 1 0) into 1 0.973 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.973 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.973 * [taylor]: Taking taylor expansion of 1/2 in im 0.973 * [backup-simplify]: Simplify 1/2 into 1/2 0.973 * [taylor]: Taking taylor expansion of im in im 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.975 * [taylor]: Taking taylor expansion of 0 in im 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.976 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.976 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.976 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.976 * [taylor]: Taking taylor expansion of im in im 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (* 1 1) into 1 0.977 * [backup-simplify]: Simplify (/ 1 1) into 1 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.977 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.977 * [taylor]: Taking taylor expansion of re in im 0.977 * [backup-simplify]: Simplify re into re 0.977 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.977 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.977 * [backup-simplify]: Simplify (+ 1 0) into 1 0.978 * [backup-simplify]: Simplify (sqrt 1) into 1 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.979 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.979 * [taylor]: Taking taylor expansion of im in re 0.979 * [backup-simplify]: Simplify im into im 0.979 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.979 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (* 1 1) into 1 0.980 * [backup-simplify]: Simplify (/ 1 1) into 1 0.980 * [backup-simplify]: Simplify (+ 0 1) into 1 0.980 * [backup-simplify]: Simplify (sqrt 1) into 1 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.982 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.982 * [taylor]: Taking taylor expansion of im in re 0.982 * [backup-simplify]: Simplify im into im 0.982 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.982 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.982 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.982 * [taylor]: Taking taylor expansion of re in re 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [backup-simplify]: Simplify (+ 0 1) into 1 0.983 * [backup-simplify]: Simplify (sqrt 1) into 1 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.984 * [taylor]: Taking taylor expansion of 1 in im 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [taylor]: Taking taylor expansion of 0 in im 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.986 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.986 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.986 * [taylor]: Taking taylor expansion of 1/2 in im 0.986 * [backup-simplify]: Simplify 1/2 into 1/2 0.987 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.987 * [taylor]: Taking taylor expansion of im in im 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [backup-simplify]: Simplify (* 1 1) into 1 0.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.990 * [taylor]: Taking taylor expansion of 0 in im 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.992 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.992 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.992 * [taylor]: Taking taylor expansion of im in im 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (* 1 1) into 1 0.992 * [backup-simplify]: Simplify (/ 1 1) into 1 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.992 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.992 * [taylor]: Taking taylor expansion of re in im 0.992 * [backup-simplify]: Simplify re into re 0.992 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.992 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.993 * [backup-simplify]: Simplify (+ 1 0) into 1 0.993 * [backup-simplify]: Simplify (sqrt 1) into 1 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.997 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.997 * [taylor]: Taking taylor expansion of im in re 0.997 * [backup-simplify]: Simplify im into im 0.997 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.997 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.997 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.997 * [taylor]: Taking taylor expansion of re in re 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (* 1 1) into 1 0.998 * [backup-simplify]: Simplify (/ 1 1) into 1 0.998 * [backup-simplify]: Simplify (+ 0 1) into 1 0.998 * [backup-simplify]: Simplify (sqrt 1) into 1 0.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.000 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.000 * [taylor]: Taking taylor expansion of im in re 1.000 * [backup-simplify]: Simplify im into im 1.000 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.000 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.000 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [backup-simplify]: Simplify (+ 0 1) into 1 1.001 * [backup-simplify]: Simplify (sqrt 1) into 1 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.002 * [taylor]: Taking taylor expansion of 1 in im 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [taylor]: Taking taylor expansion of 0 in im 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.005 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.005 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.005 * [taylor]: Taking taylor expansion of 1/2 in im 1.005 * [backup-simplify]: Simplify 1/2 into 1/2 1.005 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.005 * [taylor]: Taking taylor expansion of im in im 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.008 * [taylor]: Taking taylor expansion of 0 in im 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.009 * * * [progress]: simplifying candidates 1.012 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- re) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))) (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re 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re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 1 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) 1.012 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 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(* h1 h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) 1) (* (cbrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))) (* (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))) (* (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) h1 h0 (* -1 h0) h1 h0 (* -1 h0) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) 1.019 * * [simplify]: iteration 0 : 261 enodes (cost 1112 ) 1.025 * * [simplify]: iteration 1 : 935 enodes (cost 975 ) 1.048 * * [simplify]: iteration 2 : 5001 enodes (cost 951 ) 1.053 * * * [progress]: adding candidates to table 1.325 * * [progress]: iteration 3 / 4 1.325 * * * [progress]: picking best candidate 1.349 * * * * [pick]: Picked # 1.349 * * * [progress]: localizing error 1.367 * * * [progress]: generating rewritten candidates 1.367 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 1.375 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 1.383 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 1.391 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.467 * * * [progress]: generating series expansions 1.468 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 1.468 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.468 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.468 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.468 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.468 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.468 * [taylor]: Taking taylor expansion of re in im 1.468 * [backup-simplify]: Simplify re into re 1.468 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.468 * [taylor]: Taking taylor expansion of im in im 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.468 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.468 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.468 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.469 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.469 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.469 * [taylor]: Taking taylor expansion of re in re 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.469 * [taylor]: Taking taylor expansion of im in re 1.469 * [backup-simplify]: Simplify im into im 1.469 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.469 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.469 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.469 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.470 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.470 * [taylor]: Taking taylor expansion of im in re 1.470 * [backup-simplify]: Simplify im into im 1.470 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.470 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.470 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.470 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.471 * [taylor]: Taking taylor expansion of im in im 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [taylor]: Taking taylor expansion of 0 in im 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (* 1 1) into 1 1.471 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.471 * [backup-simplify]: Simplify (+ 1 0) into 1 1.472 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.472 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.472 * [taylor]: Taking taylor expansion of 1/2 in im 1.472 * [backup-simplify]: Simplify 1/2 into 1/2 1.472 * [taylor]: Taking taylor expansion of im in im 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.474 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.474 * [taylor]: Taking taylor expansion of 0 in im 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.475 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.475 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.475 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.475 * [taylor]: Taking taylor expansion of im in im 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (/ 1 1) into 1 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.476 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.476 * [taylor]: Taking taylor expansion of re in im 1.476 * [backup-simplify]: Simplify re into re 1.476 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.476 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.476 * [backup-simplify]: Simplify (+ 1 0) into 1 1.476 * [backup-simplify]: Simplify (sqrt 1) into 1 1.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.478 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.478 * [taylor]: Taking taylor expansion of im in re 1.478 * [backup-simplify]: Simplify im into im 1.478 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.478 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.478 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.478 * [taylor]: Taking taylor expansion of re in re 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (* 1 1) into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [backup-simplify]: Simplify (+ 0 1) into 1 1.479 * [backup-simplify]: Simplify (sqrt 1) into 1 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.481 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.481 * [taylor]: Taking taylor expansion of im in re 1.481 * [backup-simplify]: Simplify im into im 1.481 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.481 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.481 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.481 * [taylor]: Taking taylor expansion of re in re 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (* 1 1) into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.482 * [backup-simplify]: Simplify (+ 0 1) into 1 1.482 * [backup-simplify]: Simplify (sqrt 1) into 1 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.484 * [taylor]: Taking taylor expansion of 1 in im 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [taylor]: Taking taylor expansion of 0 in im 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.486 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.486 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.486 * [taylor]: Taking taylor expansion of 1/2 in im 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.486 * [taylor]: Taking taylor expansion of im in im 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (* 1 1) into 1 1.486 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.489 * [taylor]: Taking taylor expansion of 0 in im 1.489 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.491 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.491 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.491 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.491 * [taylor]: Taking taylor expansion of im in im 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (* 1 1) into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.491 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.491 * [taylor]: Taking taylor expansion of re in im 1.491 * [backup-simplify]: Simplify re into re 1.491 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.492 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.492 * [backup-simplify]: Simplify (+ 1 0) into 1 1.492 * [backup-simplify]: Simplify (sqrt 1) into 1 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.494 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.494 * [taylor]: Taking taylor expansion of im in re 1.494 * [backup-simplify]: Simplify im into im 1.494 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.494 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.494 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.494 * [taylor]: Taking taylor expansion of re in re 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (* 1 1) into 1 1.494 * [backup-simplify]: Simplify (/ 1 1) into 1 1.495 * [backup-simplify]: Simplify (+ 0 1) into 1 1.495 * [backup-simplify]: Simplify (sqrt 1) into 1 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (+ 0 0) into 0 1.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.496 * [taylor]: Taking taylor expansion of im in re 1.496 * [backup-simplify]: Simplify im into im 1.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.497 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.497 * [taylor]: Taking taylor expansion of re in re 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (* 1 1) into 1 1.497 * [backup-simplify]: Simplify (/ 1 1) into 1 1.497 * [backup-simplify]: Simplify (+ 0 1) into 1 1.498 * [backup-simplify]: Simplify (sqrt 1) into 1 1.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.499 * [taylor]: Taking taylor expansion of 1 in im 1.499 * [backup-simplify]: Simplify 1 into 1 1.499 * [taylor]: Taking taylor expansion of 0 in im 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.501 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.501 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.501 * [taylor]: Taking taylor expansion of 1/2 in im 1.501 * [backup-simplify]: Simplify 1/2 into 1/2 1.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.501 * [taylor]: Taking taylor expansion of im in im 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.505 * [taylor]: Taking taylor expansion of 0 in im 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.506 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 1.506 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.506 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.506 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.506 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.506 * [taylor]: Taking taylor expansion of re in im 1.506 * [backup-simplify]: Simplify re into re 1.506 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.506 * [taylor]: Taking taylor expansion of im in im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.506 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.506 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.506 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.507 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.507 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.507 * [taylor]: Taking taylor expansion of re in re 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.507 * [taylor]: Taking taylor expansion of im in re 1.507 * [backup-simplify]: Simplify im into im 1.507 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.507 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.507 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.508 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.508 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.508 * [taylor]: Taking taylor expansion of re in re 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.508 * [taylor]: Taking taylor expansion of im in re 1.508 * [backup-simplify]: Simplify im into im 1.508 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.508 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.508 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.508 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.508 * [taylor]: Taking taylor expansion of im in im 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify 0 into 0 1.509 * [taylor]: Taking taylor expansion of 0 in im 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (* 1 1) into 1 1.509 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.509 * [backup-simplify]: Simplify (+ 1 0) into 1 1.510 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.510 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.510 * [taylor]: Taking taylor expansion of 1/2 in im 1.510 * [backup-simplify]: Simplify 1/2 into 1/2 1.510 * [taylor]: Taking taylor expansion of im in im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.512 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.512 * [taylor]: Taking taylor expansion of 0 in im 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.513 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.513 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.513 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.513 * [taylor]: Taking taylor expansion of im in im 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (/ 1 1) into 1 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.513 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.514 * [taylor]: Taking taylor expansion of re in im 1.514 * [backup-simplify]: Simplify re into re 1.514 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.514 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.514 * [backup-simplify]: Simplify (+ 1 0) into 1 1.514 * [backup-simplify]: Simplify (sqrt 1) into 1 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.516 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.516 * [taylor]: Taking taylor expansion of im in re 1.516 * [backup-simplify]: Simplify im into im 1.516 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.516 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.516 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.516 * [taylor]: Taking taylor expansion of re in re 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (* 1 1) into 1 1.516 * [backup-simplify]: Simplify (/ 1 1) into 1 1.517 * [backup-simplify]: Simplify (+ 0 1) into 1 1.517 * [backup-simplify]: Simplify (sqrt 1) into 1 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.518 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.518 * [taylor]: Taking taylor expansion of im in re 1.518 * [backup-simplify]: Simplify im into im 1.518 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.519 * [taylor]: Taking taylor expansion of re in re 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (* 1 1) into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.519 * [backup-simplify]: Simplify (+ 0 1) into 1 1.520 * [backup-simplify]: Simplify (sqrt 1) into 1 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.521 * [taylor]: Taking taylor expansion of 1 in im 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [taylor]: Taking taylor expansion of 0 in im 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.523 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.523 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.523 * [taylor]: Taking taylor expansion of 1/2 in im 1.523 * [backup-simplify]: Simplify 1/2 into 1/2 1.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.523 * [taylor]: Taking taylor expansion of im in im 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (* 1 1) into 1 1.524 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.527 * [taylor]: Taking taylor expansion of 0 in im 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.528 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.528 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.528 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.528 * [taylor]: Taking taylor expansion of im in im 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (* 1 1) into 1 1.529 * [backup-simplify]: Simplify (/ 1 1) into 1 1.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.529 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.529 * [taylor]: Taking taylor expansion of re in im 1.529 * [backup-simplify]: Simplify re into re 1.529 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.529 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.529 * [backup-simplify]: Simplify (+ 1 0) into 1 1.529 * [backup-simplify]: Simplify (sqrt 1) into 1 1.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.531 * [taylor]: Taking taylor expansion of im in re 1.531 * [backup-simplify]: Simplify im into im 1.531 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.531 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.531 * [taylor]: Taking taylor expansion of re in re 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (* 1 1) into 1 1.532 * [backup-simplify]: Simplify (/ 1 1) into 1 1.532 * [backup-simplify]: Simplify (+ 0 1) into 1 1.532 * [backup-simplify]: Simplify (sqrt 1) into 1 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.534 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.534 * [taylor]: Taking taylor expansion of im in re 1.534 * [backup-simplify]: Simplify im into im 1.534 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.535 * [backup-simplify]: Simplify (/ 1 1) into 1 1.535 * [backup-simplify]: Simplify (+ 0 1) into 1 1.535 * [backup-simplify]: Simplify (sqrt 1) into 1 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.537 * [taylor]: Taking taylor expansion of 1 in im 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [taylor]: Taking taylor expansion of 0 in im 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.539 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.539 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.539 * [taylor]: Taking taylor expansion of 1/2 in im 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.539 * [taylor]: Taking taylor expansion of im in im 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (* 1 1) into 1 1.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify (+ 0 0) into 0 1.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.542 * [taylor]: Taking taylor expansion of 0 in im 1.542 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.544 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 1.544 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.544 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.544 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.544 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.544 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.544 * [taylor]: Taking taylor expansion of re in im 1.544 * [backup-simplify]: Simplify re into re 1.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.544 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.544 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.544 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.545 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.545 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.545 * [taylor]: Taking taylor expansion of re in re 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.545 * [taylor]: Taking taylor expansion of im in re 1.545 * [backup-simplify]: Simplify im into im 1.545 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.545 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.545 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.545 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.545 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.545 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.545 * [taylor]: Taking taylor expansion of re in re 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.545 * [taylor]: Taking taylor expansion of im in re 1.545 * [backup-simplify]: Simplify im into im 1.545 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.546 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.546 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.546 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.546 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.546 * [taylor]: Taking taylor expansion of im in im 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [taylor]: Taking taylor expansion of 0 in im 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (* 1 1) into 1 1.547 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.547 * [backup-simplify]: Simplify (+ 1 0) into 1 1.547 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.548 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.548 * [taylor]: Taking taylor expansion of 1/2 in im 1.548 * [backup-simplify]: Simplify 1/2 into 1/2 1.548 * [taylor]: Taking taylor expansion of im in im 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.549 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.550 * [taylor]: Taking taylor expansion of 0 in im 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.551 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.551 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.551 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.551 * [taylor]: Taking taylor expansion of im in im 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (* 1 1) into 1 1.551 * [backup-simplify]: Simplify (/ 1 1) into 1 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.551 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.551 * [taylor]: Taking taylor expansion of re in im 1.551 * [backup-simplify]: Simplify re into re 1.551 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.552 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.552 * [backup-simplify]: Simplify (+ 1 0) into 1 1.552 * [backup-simplify]: Simplify (sqrt 1) into 1 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.554 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.554 * [taylor]: Taking taylor expansion of im in re 1.554 * [backup-simplify]: Simplify im into im 1.554 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.554 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.554 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.554 * [taylor]: Taking taylor expansion of re in re 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [backup-simplify]: Simplify (+ 0 1) into 1 1.555 * [backup-simplify]: Simplify (sqrt 1) into 1 1.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (+ 0 0) into 0 1.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.556 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.556 * [taylor]: Taking taylor expansion of im in re 1.556 * [backup-simplify]: Simplify im into im 1.556 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.557 * [taylor]: Taking taylor expansion of re in re 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.557 * [backup-simplify]: Simplify (/ 1 1) into 1 1.557 * [backup-simplify]: Simplify (+ 0 1) into 1 1.558 * [backup-simplify]: Simplify (sqrt 1) into 1 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (+ 0 0) into 0 1.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.559 * [taylor]: Taking taylor expansion of 1 in im 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [taylor]: Taking taylor expansion of 0 in im 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.561 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.561 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.561 * [taylor]: Taking taylor expansion of 1/2 in im 1.561 * [backup-simplify]: Simplify 1/2 into 1/2 1.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.561 * [taylor]: Taking taylor expansion of im in im 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify (* 1 1) into 1 1.562 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.567 * [taylor]: Taking taylor expansion of 0 in im 1.567 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.569 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.569 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.569 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.569 * [taylor]: Taking taylor expansion of im in im 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (* 1 1) into 1 1.569 * [backup-simplify]: Simplify (/ 1 1) into 1 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.569 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.569 * [taylor]: Taking taylor expansion of re in im 1.569 * [backup-simplify]: Simplify re into re 1.569 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.570 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.570 * [backup-simplify]: Simplify (+ 1 0) into 1 1.570 * [backup-simplify]: Simplify (sqrt 1) into 1 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.572 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.572 * [taylor]: Taking taylor expansion of im in re 1.572 * [backup-simplify]: Simplify im into im 1.572 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.572 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.572 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.572 * [taylor]: Taking taylor expansion of re in re 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (* 1 1) into 1 1.572 * [backup-simplify]: Simplify (/ 1 1) into 1 1.573 * [backup-simplify]: Simplify (+ 0 1) into 1 1.573 * [backup-simplify]: Simplify (sqrt 1) into 1 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.574 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.574 * [taylor]: Taking taylor expansion of im in re 1.574 * [backup-simplify]: Simplify im into im 1.574 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.574 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.574 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.574 * [taylor]: Taking taylor expansion of re in re 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (* 1 1) into 1 1.575 * [backup-simplify]: Simplify (/ 1 1) into 1 1.575 * [backup-simplify]: Simplify (+ 0 1) into 1 1.575 * [backup-simplify]: Simplify (sqrt 1) into 1 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.577 * [taylor]: Taking taylor expansion of 1 in im 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [taylor]: Taking taylor expansion of 0 in im 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.579 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.579 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.579 * [taylor]: Taking taylor expansion of 1/2 in im 1.579 * [backup-simplify]: Simplify 1/2 into 1/2 1.579 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.579 * [taylor]: Taking taylor expansion of im in im 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.583 * [taylor]: Taking taylor expansion of 0 in im 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.584 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.585 * [backup-simplify]: Simplify (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) into (- (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) re) 1.585 * [approximate]: Taking taylor expansion of (- (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) re) in (re im) around 0 1.585 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) re) in im 1.585 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in im 1.585 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im 1.586 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 1.586 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 1.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 1.586 * [taylor]: Taking taylor expansion of 1/3 in im 1.586 * [backup-simplify]: Simplify 1/3 into 1/3 1.586 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.586 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.586 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.586 * [taylor]: Taking taylor expansion of re in im 1.586 * [backup-simplify]: Simplify re into re 1.586 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.586 * [taylor]: Taking taylor expansion of im in im 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.587 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.587 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.587 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 1.587 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 1.587 * [taylor]: Taking taylor expansion of re in im 1.587 * [backup-simplify]: Simplify re into re 1.587 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) re) in re 1.587 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in re 1.587 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in re 1.587 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 1.587 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.587 * [taylor]: Taking taylor expansion of 1/3 in re 1.587 * [backup-simplify]: Simplify 1/3 into 1/3 1.587 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.587 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.588 * [taylor]: Taking taylor expansion of re in re 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.588 * [taylor]: Taking taylor expansion of im in re 1.588 * [backup-simplify]: Simplify im into im 1.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.588 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.588 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.588 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.588 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.588 * [taylor]: Taking taylor expansion of re in re 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) re) in re 1.588 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (+ (pow re 2) (pow im 2)) 1/3)) in re 1.588 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in re 1.588 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 1.588 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.588 * [taylor]: Taking taylor expansion of 1/3 in re 1.588 * [backup-simplify]: Simplify 1/3 into 1/3 1.588 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.588 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.588 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.588 * [taylor]: Taking taylor expansion of re in re 1.588 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.589 * [taylor]: Taking taylor expansion of im in re 1.589 * [backup-simplify]: Simplify im into im 1.589 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.589 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.589 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.589 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.589 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.589 * [taylor]: Taking taylor expansion of re in re 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) 1.590 * [backup-simplify]: Simplify (- 0) into 0 1.590 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) 0) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) 1.590 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) in im 1.590 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im 1.590 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 1.590 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.590 * [taylor]: Taking taylor expansion of 1/3 in im 1.590 * [backup-simplify]: Simplify 1/3 into 1/3 1.590 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.590 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.590 * [taylor]: Taking taylor expansion of im in im 1.590 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (* 1 1) into 1 1.591 * [backup-simplify]: Simplify (log 1) into 0 1.591 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.591 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 1.592 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 1.592 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow im 2/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) 1.592 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) 1.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.594 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 1.595 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 0) (* 0 (pow (pow im 2) 1/3))) into 0 1.595 * [backup-simplify]: Simplify (- 1) into -1 1.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.596 * [taylor]: Taking taylor expansion of -1 in im 1.596 * [backup-simplify]: Simplify -1 into -1 1.596 * [backup-simplify]: Simplify -1 into -1 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.597 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 1.598 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.598 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 0) (* 0 (pow im 2/3))) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (* 1 1) into 1 1.599 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.600 * [backup-simplify]: Simplify (+ 1 0) into 1 1.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.601 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 1.602 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.603 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (* 1/3 (pow (/ 1 (pow im 4)) 1/3))) (+ (* 0 0) (* 0 (pow (pow im 2) 1/3)))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) 1.603 * [backup-simplify]: Simplify (- 0) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) 0) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) 1.603 * [taylor]: Taking taylor expansion of (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) in im 1.603 * [taylor]: Taking taylor expansion of 1/3 in im 1.603 * [backup-simplify]: Simplify 1/3 into 1/3 1.603 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)) in im 1.603 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) in im 1.604 * [backup-simplify]: Simplify (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) into (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) 1.604 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.604 * [taylor]: Taking taylor expansion of 1/3 in im 1.604 * [backup-simplify]: Simplify 1/3 into 1/3 1.604 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.604 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.604 * [taylor]: Taking taylor expansion of im in im 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (* 1 1) into 1 1.604 * [backup-simplify]: Simplify (* 1 1) into 1 1.604 * [backup-simplify]: Simplify (/ 1 1) into 1 1.605 * [backup-simplify]: Simplify (log 1) into 0 1.605 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.605 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.605 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.605 * [backup-simplify]: Simplify (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow im -4/3)) into (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3)) 1.606 * [backup-simplify]: Simplify (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) 1.606 * [backup-simplify]: Simplify (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) into (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) 1.607 * [backup-simplify]: Simplify (+ (* (* 1/3 (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (/ 1 (pow im 4)) 1/3))) (pow (* 1 re) 2)) (+ (* -1 (* 1 re)) (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)))) into (- (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) (* 1/3 (* (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow re 2)) (pow (/ 1 (pow im 4)) 1/3)))) re) 1.608 * [backup-simplify]: Simplify (- (* (* (fabs (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (sqrt (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) 1.608 * [approximate]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in (re im) around 0 1.608 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in im 1.608 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in im 1.608 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im 1.608 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.608 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.608 * [taylor]: Taking taylor expansion of 1/3 in im 1.608 * [backup-simplify]: Simplify 1/3 into 1/3 1.608 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.608 * [taylor]: Taking taylor expansion of im in im 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (* 1 1) into 1 1.609 * [backup-simplify]: Simplify (/ 1 1) into 1 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.609 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.609 * [taylor]: Taking taylor expansion of re in im 1.609 * [backup-simplify]: Simplify re into re 1.609 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.609 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.609 * [backup-simplify]: Simplify (+ 1 0) into 1 1.610 * [backup-simplify]: Simplify (log 1) into 0 1.610 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.610 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.610 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.610 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.610 * [taylor]: Taking taylor expansion of re in im 1.610 * [backup-simplify]: Simplify re into re 1.610 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.610 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in re 1.610 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re 1.610 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re 1.610 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.610 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.610 * [taylor]: Taking taylor expansion of 1/3 in re 1.611 * [backup-simplify]: Simplify 1/3 into 1/3 1.611 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.611 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.611 * [taylor]: Taking taylor expansion of im in re 1.611 * [backup-simplify]: Simplify im into im 1.611 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.611 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.611 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.611 * [taylor]: Taking taylor expansion of re in re 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (* 1 1) into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.612 * [backup-simplify]: Simplify (+ 0 1) into 1 1.612 * [backup-simplify]: Simplify (log 1) into 0 1.612 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.612 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.612 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.612 * [taylor]: Taking taylor expansion of re in re 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (/ 1 1) into 1 1.613 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) (/ 1 re)) in re 1.613 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re 1.613 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re 1.613 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.613 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.613 * [taylor]: Taking taylor expansion of 1/3 in re 1.613 * [backup-simplify]: Simplify 1/3 into 1/3 1.613 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.613 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.613 * [taylor]: Taking taylor expansion of im in re 1.613 * [backup-simplify]: Simplify im into im 1.613 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.613 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.613 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.613 * [taylor]: Taking taylor expansion of re in re 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (* 1 1) into 1 1.614 * [backup-simplify]: Simplify (/ 1 1) into 1 1.614 * [backup-simplify]: Simplify (+ 0 1) into 1 1.614 * [backup-simplify]: Simplify (log 1) into 0 1.614 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.615 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.615 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.615 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [backup-simplify]: Simplify (- 1) into -1 1.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.615 * [taylor]: Taking taylor expansion of -1 in im 1.615 * [backup-simplify]: Simplify -1 into -1 1.616 * [backup-simplify]: Simplify -1 into -1 1.616 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow re -2/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 0) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.617 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) in im 1.617 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im 1.617 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.617 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.617 * [taylor]: Taking taylor expansion of 1/3 in im 1.617 * [backup-simplify]: Simplify 1/3 into 1/3 1.617 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.617 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.617 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.617 * [taylor]: Taking taylor expansion of re in im 1.617 * [backup-simplify]: Simplify re into re 1.617 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.618 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.618 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.618 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.618 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.618 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.619 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.621 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.622 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow re -2/3))) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [taylor]: Taking taylor expansion of 0 in im 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.625 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.625 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.628 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.628 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.628 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.629 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.630 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* 0 (pow re -2/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) 1.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) 0) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) 1.631 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im 1.631 * [taylor]: Taking taylor expansion of 1/3 in im 1.631 * [backup-simplify]: Simplify 1/3 into 1/3 1.631 * [taylor]: Taking taylor expansion of (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im 1.631 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) in im 1.631 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im 1.631 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.631 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.632 * [taylor]: Taking taylor expansion of im in im 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify (* 1 1) into 1 1.632 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.632 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.632 * [taylor]: Taking taylor expansion of 1/3 in im 1.632 * [backup-simplify]: Simplify 1/3 into 1/3 1.632 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.632 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.632 * [taylor]: Taking taylor expansion of re in im 1.632 * [backup-simplify]: Simplify re into re 1.633 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.633 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.633 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.633 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.633 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.633 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.634 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.634 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.637 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.638 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.642 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0 1.642 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.643 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))))) into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow (/ 1 im) 2)) (/ 1 (pow (/ 1 re) 2))) 1/6)) (pow (/ 1 (pow (/ 1 re) 2)) 1/3)) (* -1 (* 1 (/ 1 (/ 1 re))))) into (- (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)) re) 1.645 * [backup-simplify]: Simplify (- (* (* (fabs (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (sqrt (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) 1.645 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in (re im) around 0 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in im 1.645 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.645 * [taylor]: Taking taylor expansion of re in im 1.645 * [backup-simplify]: Simplify re into re 1.645 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.645 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in im 1.645 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im 1.645 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.645 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.645 * [taylor]: Taking taylor expansion of 1/3 in im 1.645 * [backup-simplify]: Simplify 1/3 into 1/3 1.645 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.645 * [taylor]: Taking taylor expansion of im in im 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* 1 1) into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.646 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.646 * [taylor]: Taking taylor expansion of re in im 1.646 * [backup-simplify]: Simplify re into re 1.646 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.646 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.646 * [backup-simplify]: Simplify (+ 1 0) into 1 1.646 * [backup-simplify]: Simplify (log 1) into 0 1.647 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.647 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.647 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in re 1.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re 1.647 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re 1.648 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.648 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.648 * [taylor]: Taking taylor expansion of 1/3 in re 1.648 * [backup-simplify]: Simplify 1/3 into 1/3 1.648 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.648 * [taylor]: Taking taylor expansion of im in re 1.648 * [backup-simplify]: Simplify im into im 1.648 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.648 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.648 * [taylor]: Taking taylor expansion of re in re 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (* 1 1) into 1 1.648 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [backup-simplify]: Simplify (+ 0 1) into 1 1.649 * [backup-simplify]: Simplify (log 1) into 0 1.649 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.649 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.649 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3))) in re 1.649 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.649 * [taylor]: Taking taylor expansion of re in re 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (/ 1 1) into 1 1.650 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3)) in re 1.650 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in re 1.650 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.650 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.650 * [taylor]: Taking taylor expansion of 1/3 in re 1.650 * [backup-simplify]: Simplify 1/3 into 1/3 1.650 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.650 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.650 * [taylor]: Taking taylor expansion of im in re 1.650 * [backup-simplify]: Simplify im into im 1.650 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.650 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.650 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.650 * [taylor]: Taking taylor expansion of re in re 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (* 1 1) into 1 1.651 * [backup-simplify]: Simplify (/ 1 1) into 1 1.651 * [backup-simplify]: Simplify (+ 0 1) into 1 1.651 * [backup-simplify]: Simplify (log 1) into 0 1.652 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.652 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.652 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.652 * [backup-simplify]: Simplify (+ 1 0) into 1 1.652 * [taylor]: Taking taylor expansion of 1 in im 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow re -2/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.653 * [backup-simplify]: Simplify (+ 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.653 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) in im 1.653 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im 1.654 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.654 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.654 * [taylor]: Taking taylor expansion of 1/3 in im 1.654 * [backup-simplify]: Simplify 1/3 into 1/3 1.654 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.654 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.654 * [taylor]: Taking taylor expansion of re in im 1.654 * [backup-simplify]: Simplify re into re 1.654 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.654 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.654 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.654 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.654 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.655 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.655 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.658 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.658 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow re -2/3))) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [taylor]: Taking taylor expansion of 0 in im 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.661 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.664 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.665 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.665 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.666 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))) (+ (* 0 0) (* 0 (pow re -2/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) 1.667 * [backup-simplify]: Simplify (+ 0 (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))) into (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) 1.667 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im 1.667 * [taylor]: Taking taylor expansion of 1/3 in im 1.667 * [backup-simplify]: Simplify 1/3 into 1/3 1.667 * [taylor]: Taking taylor expansion of (* (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im 1.667 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow im 2)) in im 1.667 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) in im 1.667 * [backup-simplify]: Simplify (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.667 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.667 * [taylor]: Taking taylor expansion of im in im 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (* 1 1) into 1 1.668 * [backup-simplify]: Simplify (/ (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1) into (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 1.668 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.668 * [taylor]: Taking taylor expansion of 1/3 in im 1.668 * [backup-simplify]: Simplify 1/3 into 1/3 1.668 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.668 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.668 * [taylor]: Taking taylor expansion of re in im 1.668 * [backup-simplify]: Simplify re into re 1.668 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.668 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.668 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.668 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.669 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.669 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.670 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.670 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.671 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.676 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0 1.681 * [backup-simplify]: Simplify (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) into (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3)) 1.682 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (fabs (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6)) (pow (/ 1 (pow re 2)) 1/3))))) into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (+ (* (fabs (pow (+ (/ 1 (pow (/ 1 (- im)) 2)) (/ 1 (pow (/ 1 (- re)) 2))) 1/6)) (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3)) (* 1 (* 1 (/ 1 (/ 1 (- re)))))) into (- (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)) re) 1.683 * * * [progress]: simplifying candidates 1.684 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp re)) (log (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (exp (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (* (cbrt (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (* (* (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)) (- (pow (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3)) (+ (* (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (+ (* re re) (* (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re))) (- re) (- (* (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (+ (* (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re) (- re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- (+ (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow im 2) 1/3)) (* 1/3 (* (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow re 2)) (pow (/ 1 (pow im 4)) 1/3)))) re) (- (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)) re) (- (* (fabs (pow (+ (pow re 2) (pow im 2)) 1/6)) (pow (pow re 2) 1/3)) re) 1.684 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (exp (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp h0)) (log (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0)) (exp (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0)) (* (cbrt (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0)) (cbrt (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0))) (cbrt (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0)) (* (* (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0) (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0)) (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0)) (sqrt (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0)) (sqrt (- (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0)) (- (pow (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) 3) (pow h0 3)) (+ (* (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (+ (* h0 h0) (* (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0))) (- h0) (- (* (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (* h0 h0)) (+ (* (* (fabs (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) h0) (- h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) (- (+ (* (fabs (pow (+ (pow h0 2) (pow h1 2)) 1/6)) (pow (pow h1 2) 1/3)) (* 1/3 (* (* (fabs (pow (+ (pow h0 2) (pow h1 2)) 1/6)) (pow h0 2)) (pow (/ 1 (pow h1 4)) 1/3)))) h0) (- (* (fabs (pow (+ (pow h0 2) (pow h1 2)) 1/6)) (pow (pow h0 2) 1/3)) h0) (- (* (fabs (pow (+ (pow h0 2) (pow h1 2)) 1/6)) (pow (pow h0 2) 1/3)) h0) 1.688 * * [simplify]: iteration 0 : 211 enodes (cost 717 ) 1.692 * * [simplify]: iteration 1 : 760 enodes (cost 652 ) 1.706 * * [simplify]: iteration 2 : 2681 enodes (cost 633 ) 1.762 * * [simplify]: iteration 3 : 5001 enodes (cost 618 ) 1.765 * * * [progress]: adding candidates to table 2.044 * * [progress]: iteration 4 / 4 2.044 * * * [progress]: picking best candidate 2.070 * * * * [pick]: Picked # 2.070 * * * [progress]: localizing error 2.098 * * * [progress]: generating rewritten candidates 2.098 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1) 2.106 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1 1 1) 2.114 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 2.122 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 2.131 * * * [progress]: generating series expansions 2.131 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1) 2.131 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.131 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.131 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.131 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.131 * [taylor]: Taking taylor expansion of re in im 2.131 * [backup-simplify]: Simplify re into re 2.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.131 * [taylor]: Taking taylor expansion of im in im 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.132 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.132 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.132 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.132 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.132 * [taylor]: Taking taylor expansion of re in re 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.132 * [taylor]: Taking taylor expansion of im in re 2.132 * [backup-simplify]: Simplify im into im 2.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.133 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.133 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.133 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.133 * [taylor]: Taking taylor expansion of re in re 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.133 * [taylor]: Taking taylor expansion of im in re 2.133 * [backup-simplify]: Simplify im into im 2.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.133 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.134 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.134 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.134 * [taylor]: Taking taylor expansion of im in im 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [taylor]: Taking taylor expansion of 0 in im 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.135 * [backup-simplify]: Simplify (+ 1 0) into 1 2.136 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.136 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.136 * [taylor]: Taking taylor expansion of 1/2 in im 2.136 * [backup-simplify]: Simplify 1/2 into 1/2 2.136 * [taylor]: Taking taylor expansion of im in im 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.137 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.138 * [taylor]: Taking taylor expansion of 0 in im 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.139 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.139 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.139 * [taylor]: Taking taylor expansion of im in im 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.139 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.139 * [taylor]: Taking taylor expansion of re in im 2.139 * [backup-simplify]: Simplify re into re 2.139 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.139 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.140 * [backup-simplify]: Simplify (+ 1 0) into 1 2.140 * [backup-simplify]: Simplify (sqrt 1) into 1 2.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.142 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.142 * [taylor]: Taking taylor expansion of im in re 2.142 * [backup-simplify]: Simplify im into im 2.142 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.142 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.142 * [taylor]: Taking taylor expansion of re in re 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (* 1 1) into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [backup-simplify]: Simplify (+ 0 1) into 1 2.143 * [backup-simplify]: Simplify (sqrt 1) into 1 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ 0 0) into 0 2.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.144 * [taylor]: Taking taylor expansion of im in re 2.144 * [backup-simplify]: Simplify im into im 2.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.145 * [taylor]: Taking taylor expansion of re in re 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* 1 1) into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [backup-simplify]: Simplify (+ 0 1) into 1 2.146 * [backup-simplify]: Simplify (sqrt 1) into 1 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (+ 0 0) into 0 2.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.147 * [taylor]: Taking taylor expansion of 1 in im 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [taylor]: Taking taylor expansion of 0 in im 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.149 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.149 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.149 * [taylor]: Taking taylor expansion of 1/2 in im 2.149 * [backup-simplify]: Simplify 1/2 into 1/2 2.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.149 * [taylor]: Taking taylor expansion of im in im 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (* 1 1) into 1 2.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.156 * [taylor]: Taking taylor expansion of 0 in im 2.156 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.158 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.158 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.158 * [taylor]: Taking taylor expansion of im in im 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (* 1 1) into 1 2.159 * [backup-simplify]: Simplify (/ 1 1) into 1 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.159 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.159 * [taylor]: Taking taylor expansion of re in im 2.159 * [backup-simplify]: Simplify re into re 2.159 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.159 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.159 * [backup-simplify]: Simplify (+ 1 0) into 1 2.159 * [backup-simplify]: Simplify (sqrt 1) into 1 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.161 * [taylor]: Taking taylor expansion of im in re 2.161 * [backup-simplify]: Simplify im into im 2.161 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.161 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.161 * [taylor]: Taking taylor expansion of re in re 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (* 1 1) into 1 2.162 * [backup-simplify]: Simplify (/ 1 1) into 1 2.162 * [backup-simplify]: Simplify (+ 0 1) into 1 2.162 * [backup-simplify]: Simplify (sqrt 1) into 1 2.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.164 * [taylor]: Taking taylor expansion of im in re 2.164 * [backup-simplify]: Simplify im into im 2.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.164 * [taylor]: Taking taylor expansion of re in re 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (* 1 1) into 1 2.164 * [backup-simplify]: Simplify (/ 1 1) into 1 2.165 * [backup-simplify]: Simplify (+ 0 1) into 1 2.165 * [backup-simplify]: Simplify (sqrt 1) into 1 2.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.167 * [taylor]: Taking taylor expansion of 1 in im 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [taylor]: Taking taylor expansion of 0 in im 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.169 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.169 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.169 * [taylor]: Taking taylor expansion of 1/2 in im 2.169 * [backup-simplify]: Simplify 1/2 into 1/2 2.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.169 * [taylor]: Taking taylor expansion of im in im 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (* 1 1) into 1 2.169 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.172 * [taylor]: Taking taylor expansion of 0 in im 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.174 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1 1 1) 2.174 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.174 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.174 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.174 * [taylor]: Taking taylor expansion of re in im 2.174 * [backup-simplify]: Simplify re into re 2.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.174 * [taylor]: Taking taylor expansion of im in im 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.174 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.174 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.174 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.175 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.175 * [taylor]: Taking taylor expansion of re in re 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.175 * [taylor]: Taking taylor expansion of im in re 2.175 * [backup-simplify]: Simplify im into im 2.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.175 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.175 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.175 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.175 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.175 * [taylor]: Taking taylor expansion of re in re 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.175 * [taylor]: Taking taylor expansion of im in re 2.175 * [backup-simplify]: Simplify im into im 2.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.176 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.176 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.176 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.176 * [taylor]: Taking taylor expansion of im in im 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [taylor]: Taking taylor expansion of 0 in im 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (* 1 1) into 1 2.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.177 * [backup-simplify]: Simplify (+ 1 0) into 1 2.177 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.178 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.178 * [taylor]: Taking taylor expansion of 1/2 in im 2.178 * [backup-simplify]: Simplify 1/2 into 1/2 2.178 * [taylor]: Taking taylor expansion of im in im 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.179 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.180 * [backup-simplify]: Simplify (+ 0 0) into 0 2.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.180 * [taylor]: Taking taylor expansion of 0 in im 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.181 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.181 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.181 * [taylor]: Taking taylor expansion of im in im 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (* 1 1) into 1 2.181 * [backup-simplify]: Simplify (/ 1 1) into 1 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.181 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.181 * [taylor]: Taking taylor expansion of re in im 2.181 * [backup-simplify]: Simplify re into re 2.181 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.181 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.182 * [backup-simplify]: Simplify (+ 1 0) into 1 2.182 * [backup-simplify]: Simplify (sqrt 1) into 1 2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.183 * [taylor]: Taking taylor expansion of im in re 2.183 * [backup-simplify]: Simplify im into im 2.183 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.184 * [taylor]: Taking taylor expansion of re in re 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (* 1 1) into 1 2.184 * [backup-simplify]: Simplify (/ 1 1) into 1 2.184 * [backup-simplify]: Simplify (+ 0 1) into 1 2.185 * [backup-simplify]: Simplify (sqrt 1) into 1 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ 0 0) into 0 2.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.186 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.186 * [taylor]: Taking taylor expansion of im in re 2.186 * [backup-simplify]: Simplify im into im 2.186 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.186 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.186 * [taylor]: Taking taylor expansion of re in re 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (* 1 1) into 1 2.187 * [backup-simplify]: Simplify (/ 1 1) into 1 2.187 * [backup-simplify]: Simplify (+ 0 1) into 1 2.187 * [backup-simplify]: Simplify (sqrt 1) into 1 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ 0 0) into 0 2.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.189 * [taylor]: Taking taylor expansion of 1 in im 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of 0 in im 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.191 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.191 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.191 * [taylor]: Taking taylor expansion of 1/2 in im 2.191 * [backup-simplify]: Simplify 1/2 into 1/2 2.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.191 * [taylor]: Taking taylor expansion of im in im 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (* 1 1) into 1 2.192 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (+ 0 0) into 0 2.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.195 * [taylor]: Taking taylor expansion of 0 in im 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.196 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.196 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.196 * [taylor]: Taking taylor expansion of im in im 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (* 1 1) into 1 2.197 * [backup-simplify]: Simplify (/ 1 1) into 1 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.197 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.197 * [taylor]: Taking taylor expansion of re in im 2.197 * [backup-simplify]: Simplify re into re 2.197 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.197 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.198 * [backup-simplify]: Simplify (+ 1 0) into 1 2.198 * [backup-simplify]: Simplify (sqrt 1) into 1 2.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.199 * [taylor]: Taking taylor expansion of im in re 2.199 * [backup-simplify]: Simplify im into im 2.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.200 * [taylor]: Taking taylor expansion of re in re 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.200 * [backup-simplify]: Simplify (* 1 1) into 1 2.200 * [backup-simplify]: Simplify (/ 1 1) into 1 2.200 * [backup-simplify]: Simplify (+ 0 1) into 1 2.201 * [backup-simplify]: Simplify (sqrt 1) into 1 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.202 * [taylor]: Taking taylor expansion of im in re 2.202 * [backup-simplify]: Simplify im into im 2.202 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.202 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.202 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.202 * [taylor]: Taking taylor expansion of re in re 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [backup-simplify]: Simplify (+ 0 1) into 1 2.203 * [backup-simplify]: Simplify (sqrt 1) into 1 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.205 * [taylor]: Taking taylor expansion of 1 in im 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [taylor]: Taking taylor expansion of 0 in im 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.207 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.207 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.207 * [taylor]: Taking taylor expansion of 1/2 in im 2.207 * [backup-simplify]: Simplify 1/2 into 1/2 2.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.207 * [taylor]: Taking taylor expansion of im in im 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.207 * [backup-simplify]: Simplify (* 1 1) into 1 2.207 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.210 * [taylor]: Taking taylor expansion of 0 in im 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.212 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1) 2.212 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.212 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.212 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.212 * [taylor]: Taking taylor expansion of re in im 2.212 * [backup-simplify]: Simplify re into re 2.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.212 * [taylor]: Taking taylor expansion of im in im 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.212 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.212 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.212 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.213 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.213 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.213 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.213 * [taylor]: Taking taylor expansion of re in re 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.213 * [taylor]: Taking taylor expansion of im in re 2.213 * [backup-simplify]: Simplify im into im 2.213 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.213 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.213 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.213 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.213 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.213 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.213 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.213 * [taylor]: Taking taylor expansion of re in re 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.214 * [taylor]: Taking taylor expansion of im in re 2.214 * [backup-simplify]: Simplify im into im 2.214 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.214 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.214 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.214 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.214 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.214 * [taylor]: Taking taylor expansion of im in im 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [taylor]: Taking taylor expansion of 0 in im 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (* 1 1) into 1 2.215 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.215 * [backup-simplify]: Simplify (+ 1 0) into 1 2.216 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.216 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.216 * [taylor]: Taking taylor expansion of 1/2 in im 2.216 * [backup-simplify]: Simplify 1/2 into 1/2 2.216 * [taylor]: Taking taylor expansion of im in im 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.218 * [backup-simplify]: Simplify (+ 0 0) into 0 2.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.218 * [taylor]: Taking taylor expansion of 0 in im 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.219 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.219 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.219 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.219 * [taylor]: Taking taylor expansion of im in im 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (* 1 1) into 1 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.220 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.220 * [taylor]: Taking taylor expansion of re in im 2.220 * [backup-simplify]: Simplify re into re 2.220 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.220 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.220 * [backup-simplify]: Simplify (+ 1 0) into 1 2.220 * [backup-simplify]: Simplify (sqrt 1) into 1 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.222 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.222 * [taylor]: Taking taylor expansion of im in re 2.222 * [backup-simplify]: Simplify im into im 2.222 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.222 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.222 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.222 * [taylor]: Taking taylor expansion of re in re 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (* 1 1) into 1 2.222 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [backup-simplify]: Simplify (+ 0 1) into 1 2.223 * [backup-simplify]: Simplify (sqrt 1) into 1 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.224 * [taylor]: Taking taylor expansion of im in re 2.225 * [backup-simplify]: Simplify im into im 2.225 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.225 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.225 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.225 * [taylor]: Taking taylor expansion of re in re 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (* 1 1) into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify (+ 0 1) into 1 2.226 * [backup-simplify]: Simplify (sqrt 1) into 1 2.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.227 * [taylor]: Taking taylor expansion of 1 in im 2.227 * [backup-simplify]: Simplify 1 into 1 2.227 * [taylor]: Taking taylor expansion of 0 in im 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 1 into 1 2.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.229 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.229 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.229 * [taylor]: Taking taylor expansion of 1/2 in im 2.229 * [backup-simplify]: Simplify 1/2 into 1/2 2.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.229 * [taylor]: Taking taylor expansion of im in im 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (* 1 1) into 1 2.230 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.233 * [taylor]: Taking taylor expansion of 0 in im 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.234 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.234 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.234 * [taylor]: Taking taylor expansion of im in im 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.235 * [backup-simplify]: Simplify (* 1 1) into 1 2.235 * [backup-simplify]: Simplify (/ 1 1) into 1 2.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.235 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.235 * [taylor]: Taking taylor expansion of re in im 2.235 * [backup-simplify]: Simplify re into re 2.235 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.235 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.235 * [backup-simplify]: Simplify (+ 1 0) into 1 2.236 * [backup-simplify]: Simplify (sqrt 1) into 1 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.237 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.237 * [taylor]: Taking taylor expansion of im in re 2.237 * [backup-simplify]: Simplify im into im 2.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.237 * [taylor]: Taking taylor expansion of re in re 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (* 1 1) into 1 2.238 * [backup-simplify]: Simplify (/ 1 1) into 1 2.238 * [backup-simplify]: Simplify (+ 0 1) into 1 2.238 * [backup-simplify]: Simplify (sqrt 1) into 1 2.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.240 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.240 * [taylor]: Taking taylor expansion of im in re 2.240 * [backup-simplify]: Simplify im into im 2.240 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.240 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.240 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.240 * [taylor]: Taking taylor expansion of re in re 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (* 1 1) into 1 2.241 * [backup-simplify]: Simplify (/ 1 1) into 1 2.241 * [backup-simplify]: Simplify (+ 0 1) into 1 2.241 * [backup-simplify]: Simplify (sqrt 1) into 1 2.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.243 * [taylor]: Taking taylor expansion of 1 in im 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [taylor]: Taking taylor expansion of 0 in im 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.245 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.245 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.245 * [taylor]: Taking taylor expansion of 1/2 in im 2.245 * [backup-simplify]: Simplify 1/2 into 1/2 2.245 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.245 * [taylor]: Taking taylor expansion of im in im 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.245 * [backup-simplify]: Simplify (* 1 1) into 1 2.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ 0 0) into 0 2.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.248 * [taylor]: Taking taylor expansion of 0 in im 2.248 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.250 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 2.250 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.250 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.250 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.250 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.250 * [taylor]: Taking taylor expansion of re in im 2.250 * [backup-simplify]: Simplify re into re 2.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.250 * [taylor]: Taking taylor expansion of im in im 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.250 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.250 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.250 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.251 * [taylor]: Taking taylor expansion of re in re 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.251 * [taylor]: Taking taylor expansion of im in re 2.251 * [backup-simplify]: Simplify im into im 2.251 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.253 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.253 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.254 * [backup-simplify]: Simplify (+ 0 0) into 0 2.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.254 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.254 * [taylor]: Taking taylor expansion of re in re 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify 1 into 1 2.254 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.254 * [taylor]: Taking taylor expansion of im in re 2.254 * [backup-simplify]: Simplify im into im 2.254 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.254 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.254 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.254 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.255 * [taylor]: Taking taylor expansion of im in im 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [taylor]: Taking taylor expansion of 0 in im 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (* 1 1) into 1 2.255 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.256 * [backup-simplify]: Simplify (+ 1 0) into 1 2.256 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.256 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.256 * [taylor]: Taking taylor expansion of 1/2 in im 2.256 * [backup-simplify]: Simplify 1/2 into 1/2 2.256 * [taylor]: Taking taylor expansion of im in im 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.258 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.258 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.258 * [taylor]: Taking taylor expansion of 0 in im 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.259 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.259 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.259 * [taylor]: Taking taylor expansion of im in im 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (* 1 1) into 1 2.260 * [backup-simplify]: Simplify (/ 1 1) into 1 2.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.260 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.260 * [taylor]: Taking taylor expansion of re in im 2.260 * [backup-simplify]: Simplify re into re 2.260 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.260 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.260 * [backup-simplify]: Simplify (+ 1 0) into 1 2.261 * [backup-simplify]: Simplify (sqrt 1) into 1 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.262 * [backup-simplify]: Simplify (+ 0 0) into 0 2.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.262 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.262 * [taylor]: Taking taylor expansion of im in re 2.262 * [backup-simplify]: Simplify im into im 2.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.262 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.262 * [taylor]: Taking taylor expansion of re in re 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.263 * [backup-simplify]: Simplify (* 1 1) into 1 2.263 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [backup-simplify]: Simplify (+ 0 1) into 1 2.263 * [backup-simplify]: Simplify (sqrt 1) into 1 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.265 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.265 * [taylor]: Taking taylor expansion of im in re 2.265 * [backup-simplify]: Simplify im into im 2.265 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.265 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.265 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.265 * [taylor]: Taking taylor expansion of re in re 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [backup-simplify]: Simplify (+ 0 1) into 1 2.266 * [backup-simplify]: Simplify (sqrt 1) into 1 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.268 * [taylor]: Taking taylor expansion of 1 in im 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of 0 in im 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.269 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.270 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.270 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.270 * [taylor]: Taking taylor expansion of 1/2 in im 2.270 * [backup-simplify]: Simplify 1/2 into 1/2 2.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.270 * [taylor]: Taking taylor expansion of im in im 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (* 1 1) into 1 2.270 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.274 * [taylor]: Taking taylor expansion of 0 in im 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.275 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.275 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.275 * [taylor]: Taking taylor expansion of im in im 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (* 1 1) into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.276 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.276 * [taylor]: Taking taylor expansion of re in im 2.276 * [backup-simplify]: Simplify re into re 2.276 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.276 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.276 * [backup-simplify]: Simplify (+ 1 0) into 1 2.276 * [backup-simplify]: Simplify (sqrt 1) into 1 2.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.278 * [taylor]: Taking taylor expansion of im in re 2.278 * [backup-simplify]: Simplify im into im 2.278 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.278 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.278 * [taylor]: Taking taylor expansion of re in re 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (* 1 1) into 1 2.279 * [backup-simplify]: Simplify (/ 1 1) into 1 2.279 * [backup-simplify]: Simplify (+ 0 1) into 1 2.279 * [backup-simplify]: Simplify (sqrt 1) into 1 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.281 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.281 * [taylor]: Taking taylor expansion of im in re 2.281 * [backup-simplify]: Simplify im into im 2.281 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.281 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.281 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.281 * [taylor]: Taking taylor expansion of re in re 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (* 1 1) into 1 2.281 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [backup-simplify]: Simplify (+ 0 1) into 1 2.282 * [backup-simplify]: Simplify (sqrt 1) into 1 2.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (+ 0 0) into 0 2.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.284 * [taylor]: Taking taylor expansion of 1 in im 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [taylor]: Taking taylor expansion of 0 in im 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.286 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.286 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.286 * [taylor]: Taking taylor expansion of 1/2 in im 2.286 * [backup-simplify]: Simplify 1/2 into 1/2 2.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.286 * [taylor]: Taking taylor expansion of im in im 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (* 1 1) into 1 2.286 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.289 * [taylor]: Taking taylor expansion of 0 in im 2.289 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.291 * * * [progress]: simplifying candidates 2.292 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 2.292 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 2.295 * * [simplify]: iteration 0 : 89 enodes (cost 400 ) 2.298 * * [simplify]: iteration 1 : 215 enodes (cost 388 ) 2.302 * * [simplify]: iteration 2 : 503 enodes (cost 388 ) 2.311 * * [simplify]: iteration 3 : 1265 enodes (cost 388 ) 2.339 * * [simplify]: iteration 4 : 4227 enodes (cost 388 ) 2.426 * * [simplify]: iteration 5 : 5002 enodes (cost 384 ) 2.428 * * * [progress]: adding candidates to table 2.810 * [progress]: [Phase 3 of 3] Extracting. 2.810 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.815 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.816 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 2.869 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 2.909 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 2.973 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 3.038 * * * [regime]: Found split indices: #