2.516 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.030 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.032 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.033 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.034 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.036 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.037 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.038 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.059 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.107 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.160 * * * [progress]: generating series expansions 0.160 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.160 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.160 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.161 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.161 * [backup-simplify]: Simplify re into re 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 (* re re) into (pow re 2) 0.161 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.161 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.161 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.162 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.162 * [backup-simplify]: Simplify im into im 0.162 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.162 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.162 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.162 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.162 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.163 * [backup-simplify]: Simplify im into im 0.163 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.163 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.163 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.163 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.163 * [taylor]: Taking taylor expansion of im in im 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.165 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.165 * [taylor]: Taking taylor expansion of 1/2 in im 0.165 * [backup-simplify]: Simplify 1/2 into 1/2 0.165 * [taylor]: Taking taylor expansion of im in im 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.168 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.168 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.169 * [taylor]: Taking taylor expansion of re in im 0.169 * [backup-simplify]: Simplify re into re 0.169 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.169 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.170 * [backup-simplify]: Simplify (sqrt 1) into 1 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [backup-simplify]: Simplify im into im 0.171 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (sqrt 1) into 1 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.174 * [backup-simplify]: Simplify im into im 0.174 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (+ 0 1) into 1 0.175 * [backup-simplify]: Simplify (sqrt 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.176 * [taylor]: Taking taylor expansion of 1 in im 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of 0 in im 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.178 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.178 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.178 * [taylor]: Taking taylor expansion of 1/2 in im 0.178 * [backup-simplify]: Simplify 1/2 into 1/2 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (* 1 1) into 1 0.179 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in im 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.183 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.183 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.183 * [taylor]: Taking taylor expansion of im in im 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.184 * [taylor]: Taking taylor expansion of re in im 0.184 * [backup-simplify]: Simplify re into re 0.184 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (sqrt 1) into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.186 * [taylor]: Taking taylor expansion of im in re 0.186 * [backup-simplify]: Simplify im into im 0.186 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.186 * [taylor]: Taking taylor expansion of re in re 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (+ 0 1) into 1 0.187 * [backup-simplify]: Simplify (sqrt 1) into 1 0.188 * [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 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 in im 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of 0 in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.193 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.193 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.193 * [taylor]: Taking taylor expansion of 1/2 in im 0.193 * [backup-simplify]: Simplify 1/2 into 1/2 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.193 * [taylor]: Taking taylor expansion of im in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.197 * [taylor]: Taking taylor expansion of 0 in im 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.198 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.198 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.198 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.198 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.198 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.198 * [taylor]: Taking taylor expansion of re in im 0.198 * [backup-simplify]: Simplify re into re 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.198 * [taylor]: Taking taylor expansion of im in im 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.199 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.199 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.199 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.199 * [taylor]: Taking taylor expansion of re in im 0.199 * [backup-simplify]: Simplify re into re 0.199 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.199 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.199 * [taylor]: Taking taylor expansion of im in re 0.199 * [backup-simplify]: Simplify im into im 0.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.199 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.200 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.200 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.200 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.200 * [taylor]: Taking taylor expansion of im in re 0.200 * [backup-simplify]: Simplify im into im 0.200 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.200 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.200 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.200 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.201 * [taylor]: Taking taylor expansion of re in re 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ im 0) into im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- 1) into -1 0.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.202 * [taylor]: Taking taylor expansion of -1 in im 0.202 * [backup-simplify]: Simplify -1 into -1 0.202 * [backup-simplify]: Simplify -1 into -1 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.203 * [backup-simplify]: Simplify (+ 1 0) into 1 0.203 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.203 * [taylor]: Taking taylor expansion of 1/2 in im 0.203 * [backup-simplify]: Simplify 1/2 into 1/2 0.204 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in im 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.208 * [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)) 0.208 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.208 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.208 * [taylor]: Taking taylor expansion of re in im 0.208 * [backup-simplify]: Simplify re into re 0.208 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.209 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (sqrt 1) into 1 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.210 * [taylor]: Taking taylor expansion of re in im 0.211 * [backup-simplify]: Simplify re into re 0.211 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.211 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [backup-simplify]: Simplify im into im 0.211 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow re 2) 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 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (+ 0 1) into 1 0.212 * [backup-simplify]: Simplify (sqrt 1) into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.217 * [taylor]: Taking taylor expansion of im in re 0.217 * [backup-simplify]: Simplify im into im 0.217 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.217 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (+ 0 1) into 1 0.218 * [backup-simplify]: Simplify (sqrt 1) into 1 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.221 * [taylor]: Taking taylor expansion of 0 in im 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in im 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.224 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.224 * [taylor]: Taking taylor expansion of 1/2 in im 0.224 * [backup-simplify]: Simplify 1/2 into 1/2 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.224 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in im 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [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))))) 0.231 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.231 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.231 * [taylor]: Taking taylor expansion of re in im 0.231 * [backup-simplify]: Simplify re into re 0.231 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.232 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.232 * [taylor]: Taking taylor expansion of re in im 0.232 * [backup-simplify]: Simplify re into re 0.232 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.232 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.232 * [backup-simplify]: Simplify (sqrt 1) into 1 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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 (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ 0 1) into 1 0.235 * [backup-simplify]: Simplify (sqrt 1) into 1 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.240 * [backup-simplify]: Simplify (+ 1 1) into 2 0.240 * [taylor]: Taking taylor expansion of 2 in im 0.240 * [backup-simplify]: Simplify 2 into 2 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [taylor]: Taking taylor expansion of 0 in im 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 2 into 2 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.243 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.243 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.243 * [taylor]: Taking taylor expansion of 1/2 in im 0.243 * [backup-simplify]: Simplify 1/2 into 1/2 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.243 * [taylor]: Taking taylor expansion of im in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (* 1 1) into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [taylor]: Taking taylor expansion of 0 in im 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.250 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.250 * [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))) 0.250 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.250 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.250 * [taylor]: Taking taylor expansion of 2.0 in im 0.250 * [backup-simplify]: Simplify 2.0 into 2.0 0.250 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.251 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.251 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.251 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.251 * [taylor]: Taking taylor expansion of re in im 0.251 * [backup-simplify]: Simplify re into re 0.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.251 * [taylor]: Taking taylor expansion of im in im 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.251 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.251 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.251 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.252 * [taylor]: Taking taylor expansion of re in im 0.252 * [backup-simplify]: Simplify re into re 0.252 * [backup-simplify]: Simplify (- re) into (- re) 0.252 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify (+ 0 1) into 1 0.253 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.254 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.254 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.255 * [taylor]: Taking taylor expansion of 2.0 in re 0.256 * [backup-simplify]: Simplify 2.0 into 2.0 0.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.256 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.256 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.256 * [taylor]: Taking taylor expansion of re in re 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [backup-simplify]: Simplify im into im 0.256 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.257 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.257 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ im 0) into im 0.257 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.258 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.258 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.258 * [taylor]: Taking taylor expansion of 2.0 in re 0.258 * [backup-simplify]: Simplify 2.0 into 2.0 0.258 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.259 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.259 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.259 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.259 * [backup-simplify]: Simplify im into im 0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.259 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.259 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ im 0) into im 0.260 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.260 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.261 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.261 * [taylor]: Taking taylor expansion of 2.0 in im 0.261 * [backup-simplify]: Simplify 2.0 into 2.0 0.261 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.261 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (sqrt 0) into 0 0.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.264 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.265 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.265 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.265 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.265 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.265 * [taylor]: Taking taylor expansion of 1/2 in im 0.265 * [backup-simplify]: Simplify 1/2 into 1/2 0.265 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.265 * [taylor]: Taking taylor expansion of 2.0 in im 0.265 * [backup-simplify]: Simplify 2.0 into 2.0 0.265 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (sqrt 0) into 0 0.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.270 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.272 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.273 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.273 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.277 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.278 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.280 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.281 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.282 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.283 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.286 * [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)))))))) 0.287 * [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)))) 0.287 * [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 0.287 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.287 * [taylor]: Taking taylor expansion of 2.0 in im 0.287 * [backup-simplify]: Simplify 2.0 into 2.0 0.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.288 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.288 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.288 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.288 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.288 * [taylor]: Taking taylor expansion of re in im 0.288 * [backup-simplify]: Simplify re into re 0.288 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.288 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.290 * [taylor]: Taking taylor expansion of re in im 0.291 * [backup-simplify]: Simplify re into re 0.291 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (sqrt 0) into 0 0.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.292 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.292 * [taylor]: Taking taylor expansion of 2.0 in re 0.292 * [backup-simplify]: Simplify 2.0 into 2.0 0.292 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.293 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.293 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.293 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.293 * [taylor]: Taking taylor expansion of im in re 0.293 * [backup-simplify]: Simplify im into im 0.293 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.293 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.293 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.293 * [taylor]: Taking taylor expansion of re in re 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (+ 0 1) into 1 0.294 * [backup-simplify]: Simplify (sqrt 1) into 1 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (- 1) into -1 0.296 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.299 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.300 * [backup-simplify]: Simplify (sqrt 0) into 0 0.300 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.300 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.300 * [taylor]: Taking taylor expansion of 2.0 in re 0.300 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.301 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.301 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.301 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.301 * [taylor]: Taking taylor expansion of im in re 0.301 * [backup-simplify]: Simplify im into im 0.301 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.301 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.301 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (+ 0 1) into 1 0.302 * [backup-simplify]: Simplify (sqrt 1) into 1 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (- 1) into -1 0.305 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.307 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.308 * [backup-simplify]: Simplify (sqrt 0) into 0 0.309 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.309 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.309 * [taylor]: Taking taylor expansion of 0 in im 0.309 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.313 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.313 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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 2)) in im 0.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.313 * [taylor]: Taking taylor expansion of 2.0 in im 0.313 * [backup-simplify]: Simplify 2.0 into 2.0 0.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.313 * [taylor]: Taking taylor expansion of (pow im 2) 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 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.321 * [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)))) 0.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.321 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.321 * [taylor]: Taking taylor expansion of +nan.0 in im 0.321 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.321 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.321 * [taylor]: Taking taylor expansion of 2.0 in im 0.321 * [backup-simplify]: Simplify 2.0 into 2.0 0.321 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.322 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.322 * [taylor]: Taking taylor expansion of im in im 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.337 * [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)))))) 0.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.339 * [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)))))) 0.339 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.339 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.339 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.339 * [taylor]: Taking taylor expansion of +nan.0 in im 0.339 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.339 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.339 * [taylor]: Taking taylor expansion of 2.0 in im 0.339 * [backup-simplify]: Simplify 2.0 into 2.0 0.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.340 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.340 * [taylor]: Taking taylor expansion of im in im 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.341 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.341 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.341 * [taylor]: Taking taylor expansion of +nan.0 in im 0.341 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.341 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.341 * [taylor]: Taking taylor expansion of 2.0 in im 0.341 * [backup-simplify]: Simplify 2.0 into 2.0 0.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.341 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [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))))))) 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.366 * [taylor]: Taking taylor expansion of 2.0 in im 0.366 * [backup-simplify]: Simplify 2.0 into 2.0 0.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.366 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.366 * [taylor]: Taking taylor expansion of re in im 0.366 * [backup-simplify]: Simplify re into re 0.366 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.367 * [taylor]: Taking taylor expansion of im in im 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.367 * [backup-simplify]: Simplify re into re 0.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.367 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.368 * [backup-simplify]: Simplify (+ 1 0) into 1 0.368 * [backup-simplify]: Simplify (sqrt 1) into 1 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 1) into 1 0.370 * [backup-simplify]: Simplify (sqrt 0) into 0 0.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.371 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.371 * [taylor]: Taking taylor expansion of 2.0 in re 0.371 * [backup-simplify]: Simplify 2.0 into 2.0 0.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.372 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.372 * [taylor]: Taking taylor expansion of re in re 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.372 * [taylor]: Taking taylor expansion of im in re 0.372 * [backup-simplify]: Simplify im into im 0.372 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.372 * [taylor]: Taking taylor expansion of re in re 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (+ 0 1) into 1 0.373 * [backup-simplify]: Simplify (sqrt 1) into 1 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.375 * [backup-simplify]: Simplify (+ 1 1) into 2 0.375 * [backup-simplify]: Simplify (sqrt 0) into 0 0.376 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.376 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.376 * [taylor]: Taking taylor expansion of 2.0 in re 0.376 * [backup-simplify]: Simplify 2.0 into 2.0 0.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.377 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.377 * [taylor]: Taking taylor expansion of re in re 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.377 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.377 * [taylor]: Taking taylor expansion of im in re 0.377 * [backup-simplify]: Simplify im into im 0.377 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.377 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.377 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.377 * [taylor]: Taking taylor expansion of re in re 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [backup-simplify]: Simplify (+ 0 1) into 1 0.378 * [backup-simplify]: Simplify (sqrt 1) into 1 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.380 * [backup-simplify]: Simplify (+ 1 1) into 2 0.380 * [backup-simplify]: Simplify (sqrt 0) into 0 0.381 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.381 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in im 0.381 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.383 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.383 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.383 * [taylor]: Taking taylor expansion of +nan.0 in im 0.383 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.383 * [taylor]: Taking taylor expansion of 2.0 in im 0.383 * [backup-simplify]: Simplify 2.0 into 2.0 0.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.388 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (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 (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.390 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.391 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.394 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.394 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.395 * [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)) 0.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.396 * [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))))) 0.397 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.397 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.397 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.397 * [taylor]: Taking taylor expansion of +nan.0 in im 0.397 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.397 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.397 * [taylor]: Taking taylor expansion of 2.0 in im 0.397 * [backup-simplify]: Simplify 2.0 into 2.0 0.397 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.397 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.398 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.398 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.398 * [taylor]: Taking taylor expansion of +nan.0 in im 0.398 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.398 * [taylor]: Taking taylor expansion of 2.0 in im 0.398 * [backup-simplify]: Simplify 2.0 into 2.0 0.399 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.405 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.406 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.407 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [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))) 0.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.412 * [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))))) 0.413 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.413 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.413 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.413 * [taylor]: Taking taylor expansion of +nan.0 in im 0.413 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.413 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.413 * [taylor]: Taking taylor expansion of 2.0 in im 0.413 * [backup-simplify]: Simplify 2.0 into 2.0 0.413 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.414 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.414 * [taylor]: Taking taylor expansion of +nan.0 in im 0.414 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.414 * [taylor]: Taking taylor expansion of 2.0 in im 0.414 * [backup-simplify]: Simplify 2.0 into 2.0 0.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.420 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.421 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.422 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.424 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.424 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.427 * [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))))))) 0.427 * * * [progress]: simplifying candidates 0.429 * [simplify]: Simplifying: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (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)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- re) (/ (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) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) 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)))) 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))))))) 0.429 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h1 h1) (* h0 h0)))) (log1p (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (fma (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma 1 (sqrt (+ (* h1 h1) (* h0 h0))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma 1 (sqrt (+ (* h1 h1) (* h0 h0))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma 1 (sqrt (+ (* h1 h1) (* h0 h0))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (expm1 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (log1p (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- h1) (- h1) (- h1) (- h1) (- h1) (- h1) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) (expm1 (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (log1p (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (log (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt h2) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (* h2 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) (* h0 h1)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0.434 * * [simplify]: iteration 0 : 314 enodes (cost 760 ) 0.439 * * [simplify]: iteration 1 : 1192 enodes (cost 522 ) 0.466 * * [simplify]: iteration 2 : 5001 enodes (cost 473 ) 0.470 * * * [progress]: adding candidates to table 0.646 * * [progress]: iteration 2 / 4 0.646 * * * [progress]: picking best candidate 0.656 * * * * [pick]: Picked # 0.656 * * * [progress]: localizing error 0.665 * * * [progress]: generating rewritten candidates 0.665 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.673 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 1 2) 0.674 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.694 * * * [progress]: generating series expansions 0.694 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.694 * [backup-simplify]: Simplify (- (* 1 (hypot re im)) re) into (- (hypot re im) re) 0.694 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.694 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.694 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.696 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.696 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.696 * [taylor]: Taking taylor expansion of (* re re) in im 0.696 * [taylor]: Taking taylor expansion of re in im 0.696 * [backup-simplify]: Simplify re into re 0.696 * [taylor]: Taking taylor expansion of re in im 0.696 * [backup-simplify]: Simplify re into re 0.696 * [taylor]: Taking taylor expansion of (* im im) in im 0.696 * [taylor]: Taking taylor expansion of im in im 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [taylor]: Taking taylor expansion of im in im 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.696 * [backup-simplify]: Simplify (* 0 0) into 0 0.697 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.697 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.697 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.697 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.697 * [taylor]: Taking taylor expansion of re in im 0.697 * [backup-simplify]: Simplify re into re 0.697 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.697 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.698 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.698 * [taylor]: Taking taylor expansion of (* re re) in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [taylor]: Taking taylor expansion of re in re 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [taylor]: Taking taylor expansion of (* im im) in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [backup-simplify]: Simplify im into im 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [backup-simplify]: Simplify im into im 0.698 * [backup-simplify]: Simplify (* 0 0) into 0 0.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.698 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.698 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.699 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.699 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.699 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.699 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.699 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.699 * [taylor]: Taking taylor expansion of (* re re) in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [taylor]: Taking taylor expansion of (* im im) in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [backup-simplify]: Simplify im into im 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [backup-simplify]: Simplify im into im 0.700 * [backup-simplify]: Simplify (* 0 0) into 0 0.700 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.700 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.700 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.700 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.700 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ im 0) into im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (- 1) into -1 0.702 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.702 * [taylor]: Taking taylor expansion of -1 in im 0.702 * [backup-simplify]: Simplify -1 into -1 0.702 * [backup-simplify]: Simplify -1 into -1 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.702 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.703 * [backup-simplify]: Simplify (+ 1 0) into 1 0.703 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.703 * [backup-simplify]: Simplify (- 0) into 0 0.703 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.703 * [taylor]: Taking taylor expansion of 1/2 in im 0.703 * [backup-simplify]: Simplify 1/2 into 1/2 0.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.703 * [taylor]: Taking taylor expansion of im in im 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.706 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.706 * [backup-simplify]: Simplify (- 0) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [taylor]: Taking taylor expansion of 0 in im 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.708 * [backup-simplify]: Simplify (- (* 1 (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.708 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.708 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.708 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.708 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.708 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.708 * [taylor]: Taking taylor expansion of re in im 0.708 * [backup-simplify]: Simplify re into re 0.708 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.708 * [taylor]: Taking taylor expansion of re in im 0.708 * [backup-simplify]: Simplify re into re 0.708 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.708 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.708 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [backup-simplify]: Simplify (* 1 1) into 1 0.709 * [backup-simplify]: Simplify (+ 0 1) into 1 0.710 * [backup-simplify]: Simplify (sqrt 1) into 1 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [backup-simplify]: Simplify re into re 0.711 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.711 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.712 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.712 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.712 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.712 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.712 * [taylor]: Taking taylor expansion of im in re 0.712 * [backup-simplify]: Simplify im into im 0.712 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.712 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.712 * [taylor]: Taking taylor expansion of im in re 0.712 * [backup-simplify]: Simplify im into im 0.712 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.713 * [backup-simplify]: Simplify (* 1 1) into 1 0.713 * [backup-simplify]: Simplify (+ 1 0) into 1 0.713 * [backup-simplify]: Simplify (sqrt 1) into 1 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (/ 1 1) into 1 0.716 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.716 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.716 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.716 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (/ 1 1) into 1 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (/ 1 1) into 1 0.716 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.716 * [taylor]: Taking taylor expansion of im in re 0.716 * [backup-simplify]: Simplify im into im 0.716 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.716 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.716 * [taylor]: Taking taylor expansion of im in re 0.716 * [backup-simplify]: Simplify im into im 0.717 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.717 * [backup-simplify]: Simplify (* 1 1) into 1 0.717 * [backup-simplify]: Simplify (+ 1 0) into 1 0.717 * [backup-simplify]: Simplify (sqrt 1) into 1 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (/ 1 1) into 1 0.720 * [backup-simplify]: Simplify (- 1) into -1 0.720 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.720 * [taylor]: Taking taylor expansion of 0 in im 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [taylor]: Taking taylor expansion of 0 in im 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.723 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.723 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.723 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (- 0) into 0 0.724 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.724 * [taylor]: Taking taylor expansion of 1/2 in im 0.724 * [backup-simplify]: Simplify 1/2 into 1/2 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [taylor]: Taking taylor expansion of 0 in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify (- (* 1 (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 0.732 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [backup-simplify]: Simplify re into re 0.732 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.732 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.732 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.732 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.732 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [backup-simplify]: Simplify -1 into -1 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [backup-simplify]: Simplify re into re 0.732 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.732 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [backup-simplify]: Simplify -1 into -1 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [backup-simplify]: Simplify re into re 0.732 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.732 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.732 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [backup-simplify]: Simplify -1 into -1 0.732 * [taylor]: Taking taylor expansion of im in im 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ -1 1) into -1 0.732 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [backup-simplify]: Simplify -1 into -1 0.732 * [taylor]: Taking taylor expansion of im in im 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ -1 1) into -1 0.733 * [backup-simplify]: Simplify (* -1 -1) into 1 0.733 * [backup-simplify]: Simplify (+ 0 1) into 1 0.734 * [backup-simplify]: Simplify (sqrt 1) into 1 0.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.736 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.736 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.736 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.736 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.736 * [taylor]: Taking taylor expansion of -1 in re 0.736 * [backup-simplify]: Simplify -1 into -1 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (/ -1 1) into -1 0.736 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.736 * [taylor]: Taking taylor expansion of -1 in re 0.736 * [backup-simplify]: Simplify -1 into -1 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ -1 1) into -1 0.737 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.737 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.737 * [taylor]: Taking taylor expansion of -1 in re 0.737 * [backup-simplify]: Simplify -1 into -1 0.737 * [taylor]: Taking taylor expansion of im in re 0.737 * [backup-simplify]: Simplify im into im 0.737 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.737 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.737 * [taylor]: Taking taylor expansion of -1 in re 0.737 * [backup-simplify]: Simplify -1 into -1 0.737 * [taylor]: Taking taylor expansion of im in re 0.737 * [backup-simplify]: Simplify im into im 0.737 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.737 * [backup-simplify]: Simplify (* -1 -1) into 1 0.737 * [backup-simplify]: Simplify (+ 1 0) into 1 0.738 * [backup-simplify]: Simplify (sqrt 1) into 1 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.740 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.740 * [taylor]: Taking taylor expansion of re in re 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (/ 1 1) into 1 0.740 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.740 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.740 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.740 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.740 * [taylor]: Taking taylor expansion of -1 in re 0.740 * [backup-simplify]: Simplify -1 into -1 0.740 * [taylor]: Taking taylor expansion of re in re 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (/ -1 1) into -1 0.740 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.740 * [taylor]: Taking taylor expansion of -1 in re 0.740 * [backup-simplify]: Simplify -1 into -1 0.740 * [taylor]: Taking taylor expansion of re in re 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (/ -1 1) into -1 0.741 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.741 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.741 * [taylor]: Taking taylor expansion of -1 in re 0.741 * [backup-simplify]: Simplify -1 into -1 0.741 * [taylor]: Taking taylor expansion of im in re 0.741 * [backup-simplify]: Simplify im into im 0.741 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.741 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.741 * [taylor]: Taking taylor expansion of -1 in re 0.741 * [backup-simplify]: Simplify -1 into -1 0.741 * [taylor]: Taking taylor expansion of im in re 0.741 * [backup-simplify]: Simplify im into im 0.741 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.741 * [backup-simplify]: Simplify (* -1 -1) into 1 0.741 * [backup-simplify]: Simplify (+ 1 0) into 1 0.742 * [backup-simplify]: Simplify (sqrt 1) into 1 0.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.744 * [backup-simplify]: Simplify (+ 1 1) into 2 0.744 * [taylor]: Taking taylor expansion of 2 in im 0.744 * [backup-simplify]: Simplify 2 into 2 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [taylor]: Taking taylor expansion of 0 in im 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 2 into 2 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.747 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.747 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.748 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.748 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.748 * [taylor]: Taking taylor expansion of 1/2 in im 0.748 * [backup-simplify]: Simplify 1/2 into 1/2 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.748 * [taylor]: Taking taylor expansion of im in im 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (* 1 1) into 1 0.749 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [taylor]: Taking taylor expansion of 0 in im 0.753 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.755 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 1 2) 0.755 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.755 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.755 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.755 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.755 * [taylor]: Taking taylor expansion of (* re re) in im 0.755 * [taylor]: Taking taylor expansion of re in im 0.755 * [backup-simplify]: Simplify re into re 0.755 * [taylor]: Taking taylor expansion of re in im 0.755 * [backup-simplify]: Simplify re into re 0.755 * [taylor]: Taking taylor expansion of (* im im) in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [taylor]: Taking taylor expansion of im in im 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.756 * [backup-simplify]: Simplify (* 0 0) into 0 0.756 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.756 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.756 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.756 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.757 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.757 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.757 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.757 * [taylor]: Taking taylor expansion of (* re re) in re 0.757 * [taylor]: Taking taylor expansion of re in re 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of re in re 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (* im im) in re 0.757 * [taylor]: Taking taylor expansion of im in re 0.757 * [backup-simplify]: Simplify im into im 0.757 * [taylor]: Taking taylor expansion of im in re 0.757 * [backup-simplify]: Simplify im into im 0.757 * [backup-simplify]: Simplify (* 0 0) into 0 0.757 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.757 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.757 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.758 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.758 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.758 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.758 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.758 * [taylor]: Taking taylor expansion of (* re re) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (* im im) in re 0.758 * [taylor]: Taking taylor expansion of im in re 0.758 * [backup-simplify]: Simplify im into im 0.758 * [taylor]: Taking taylor expansion of im in re 0.758 * [backup-simplify]: Simplify im into im 0.759 * [backup-simplify]: Simplify (* 0 0) into 0 0.759 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.759 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.759 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.759 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.759 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.760 * [taylor]: Taking taylor expansion of im in im 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [taylor]: Taking taylor expansion of 0 in im 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.760 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.761 * [backup-simplify]: Simplify (+ 1 0) into 1 0.761 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.761 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.761 * [taylor]: Taking taylor expansion of 1/2 in im 0.761 * [backup-simplify]: Simplify 1/2 into 1/2 0.761 * [taylor]: Taking taylor expansion of im in im 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.763 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.763 * [taylor]: Taking taylor expansion of 0 in im 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.764 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.764 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.764 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.764 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.764 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.764 * [taylor]: Taking taylor expansion of re in im 0.764 * [backup-simplify]: Simplify re into re 0.764 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.765 * [taylor]: Taking taylor expansion of re in im 0.765 * [backup-simplify]: Simplify re into re 0.765 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.765 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.765 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.765 * [taylor]: Taking taylor expansion of im in im 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.765 * [taylor]: Taking taylor expansion of im in im 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [backup-simplify]: Simplify (* 1 1) into 1 0.766 * [backup-simplify]: Simplify (+ 0 1) into 1 0.766 * [backup-simplify]: Simplify (sqrt 1) into 1 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.768 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.768 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.768 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.768 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.768 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.769 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.769 * [taylor]: Taking taylor expansion of im in re 0.771 * [backup-simplify]: Simplify im into im 0.772 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.772 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.772 * [taylor]: Taking taylor expansion of im in re 0.772 * [backup-simplify]: Simplify im into im 0.772 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.772 * [backup-simplify]: Simplify (+ 1 0) into 1 0.773 * [backup-simplify]: Simplify (sqrt 1) into 1 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.774 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.775 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.775 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.775 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.775 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.775 * [taylor]: Taking taylor expansion of re in re 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.775 * [taylor]: Taking taylor expansion of re in re 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.775 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.775 * [taylor]: Taking taylor expansion of im in re 0.775 * [backup-simplify]: Simplify im into im 0.775 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.775 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.775 * [taylor]: Taking taylor expansion of im in re 0.775 * [backup-simplify]: Simplify im into im 0.775 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.776 * [backup-simplify]: Simplify (* 1 1) into 1 0.776 * [backup-simplify]: Simplify (+ 1 0) into 1 0.776 * [backup-simplify]: Simplify (sqrt 1) into 1 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.778 * [taylor]: Taking taylor expansion of 1 in im 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of 0 in im 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.780 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.780 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.781 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.781 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.781 * [taylor]: Taking taylor expansion of 1/2 in im 0.781 * [backup-simplify]: Simplify 1/2 into 1/2 0.781 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (* 1 1) into 1 0.781 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.785 * [taylor]: Taking taylor expansion of 0 in im 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.786 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.786 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.786 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.786 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.786 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.786 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.786 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.786 * [taylor]: Taking taylor expansion of -1 in im 0.786 * [backup-simplify]: Simplify -1 into -1 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [backup-simplify]: Simplify re into re 0.786 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.786 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.786 * [taylor]: Taking taylor expansion of -1 in im 0.786 * [backup-simplify]: Simplify -1 into -1 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [backup-simplify]: Simplify re into re 0.787 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.787 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.787 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.787 * [taylor]: Taking taylor expansion of -1 in im 0.787 * [backup-simplify]: Simplify -1 into -1 0.787 * [taylor]: Taking taylor expansion of im in im 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ -1 1) into -1 0.787 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.787 * [taylor]: Taking taylor expansion of -1 in im 0.787 * [backup-simplify]: Simplify -1 into -1 0.787 * [taylor]: Taking taylor expansion of im in im 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ -1 1) into -1 0.787 * [backup-simplify]: Simplify (* -1 -1) into 1 0.788 * [backup-simplify]: Simplify (+ 0 1) into 1 0.788 * [backup-simplify]: Simplify (sqrt 1) into 1 0.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.790 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.790 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [backup-simplify]: Simplify -1 into -1 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ -1 1) into -1 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.791 * [backup-simplify]: Simplify -1 into -1 0.791 * [taylor]: Taking taylor expansion of re in re 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (/ -1 1) into -1 0.791 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.791 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.791 * [taylor]: Taking taylor expansion of -1 in re 0.791 * [backup-simplify]: Simplify -1 into -1 0.791 * [taylor]: Taking taylor expansion of im in re 0.791 * [backup-simplify]: Simplify im into im 0.791 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.791 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.791 * [taylor]: Taking taylor expansion of -1 in re 0.791 * [backup-simplify]: Simplify -1 into -1 0.791 * [taylor]: Taking taylor expansion of im in re 0.791 * [backup-simplify]: Simplify im into im 0.791 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.791 * [backup-simplify]: Simplify (* -1 -1) into 1 0.792 * [backup-simplify]: Simplify (+ 1 0) into 1 0.792 * [backup-simplify]: Simplify (sqrt 1) into 1 0.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.794 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.794 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.794 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.794 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.794 * [taylor]: Taking taylor expansion of -1 in re 0.794 * [backup-simplify]: Simplify -1 into -1 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ -1 1) into -1 0.794 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.794 * [taylor]: Taking taylor expansion of -1 in re 0.794 * [backup-simplify]: Simplify -1 into -1 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (/ -1 1) into -1 0.795 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.795 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.795 * [taylor]: Taking taylor expansion of -1 in re 0.795 * [backup-simplify]: Simplify -1 into -1 0.795 * [taylor]: Taking taylor expansion of im in re 0.795 * [backup-simplify]: Simplify im into im 0.795 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.795 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.795 * [taylor]: Taking taylor expansion of -1 in re 0.795 * [backup-simplify]: Simplify -1 into -1 0.795 * [taylor]: Taking taylor expansion of im in re 0.795 * [backup-simplify]: Simplify im into im 0.795 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.795 * [backup-simplify]: Simplify (* -1 -1) into 1 0.795 * [backup-simplify]: Simplify (+ 1 0) into 1 0.796 * [backup-simplify]: Simplify (sqrt 1) into 1 0.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.797 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.798 * [taylor]: Taking taylor expansion of 1 in im 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of 0 in im 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.800 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.800 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.801 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.801 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.801 * [taylor]: Taking taylor expansion of 1/2 in im 0.801 * [backup-simplify]: Simplify 1/2 into 1/2 0.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.801 * [taylor]: Taking taylor expansion of im in im 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.804 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.804 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.804 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.804 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.805 * [taylor]: Taking taylor expansion of 0 in im 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.806 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.806 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (* 1 (hypot re im)) re))) into (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 0.806 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.806 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.806 * [taylor]: Taking taylor expansion of 2.0 in im 0.806 * [backup-simplify]: Simplify 2.0 into 2.0 0.807 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.807 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.807 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.807 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.807 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.807 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.807 * [taylor]: Taking taylor expansion of (* re re) in im 0.807 * [taylor]: Taking taylor expansion of re in im 0.807 * [backup-simplify]: Simplify re into re 0.807 * [taylor]: Taking taylor expansion of re in im 0.807 * [backup-simplify]: Simplify re into re 0.807 * [taylor]: Taking taylor expansion of (* im im) in im 0.807 * [taylor]: Taking taylor expansion of im in im 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [taylor]: Taking taylor expansion of im in im 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.808 * [backup-simplify]: Simplify (* 0 0) into 0 0.808 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.808 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.808 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.808 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.809 * [taylor]: Taking taylor expansion of re in im 0.809 * [backup-simplify]: Simplify re into re 0.809 * [backup-simplify]: Simplify (- re) into (- re) 0.809 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.809 * [backup-simplify]: Simplify (- 0) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.810 * [backup-simplify]: Simplify (+ 0 1) into 1 0.810 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.811 * [backup-simplify]: Simplify (- 0) into 0 0.811 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.811 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.811 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.813 * [backup-simplify]: Simplify (- 0) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.813 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.813 * [taylor]: Taking taylor expansion of 2.0 in re 0.813 * [backup-simplify]: Simplify 2.0 into 2.0 0.813 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.814 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.814 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.814 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.814 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.814 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.814 * [taylor]: Taking taylor expansion of (* re re) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [taylor]: Taking taylor expansion of (* im im) in re 0.814 * [taylor]: Taking taylor expansion of im in re 0.814 * [backup-simplify]: Simplify im into im 0.814 * [taylor]: Taking taylor expansion of im in re 0.814 * [backup-simplify]: Simplify im into im 0.814 * [backup-simplify]: Simplify (* 0 0) into 0 0.814 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.814 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.814 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.815 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.815 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.816 * [backup-simplify]: Simplify (+ im 0) into im 0.816 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.816 * [backup-simplify]: Simplify (- 1) into -1 0.816 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.816 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.816 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.816 * [taylor]: Taking taylor expansion of 2.0 in re 0.816 * [backup-simplify]: Simplify 2.0 into 2.0 0.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.817 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.817 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.817 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.817 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.817 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.817 * [taylor]: Taking taylor expansion of (* re re) in re 0.817 * [taylor]: Taking taylor expansion of re in re 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [taylor]: Taking taylor expansion of re in re 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [taylor]: Taking taylor expansion of (* im im) in re 0.817 * [taylor]: Taking taylor expansion of im in re 0.817 * [backup-simplify]: Simplify im into im 0.817 * [taylor]: Taking taylor expansion of im in re 0.817 * [backup-simplify]: Simplify im into im 0.817 * [backup-simplify]: Simplify (* 0 0) into 0 0.817 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.818 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.818 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.818 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.818 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (- 0) into 0 0.819 * [backup-simplify]: Simplify (+ im 0) into im 0.819 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.819 * [backup-simplify]: Simplify (- 1) into -1 0.819 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.819 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.820 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.820 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.820 * [taylor]: Taking taylor expansion of 2.0 in im 0.820 * [backup-simplify]: Simplify 2.0 into 2.0 0.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.820 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (sqrt 0) into 0 0.822 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.823 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.824 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.824 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.824 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.824 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.824 * [taylor]: Taking taylor expansion of 1/2 in im 0.824 * [backup-simplify]: Simplify 1/2 into 1/2 0.824 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.824 * [taylor]: Taking taylor expansion of 2.0 in im 0.824 * [backup-simplify]: Simplify 2.0 into 2.0 0.824 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.825 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.825 * [taylor]: Taking taylor expansion of im in im 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [backup-simplify]: Simplify (sqrt 0) into 0 0.826 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.831 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.832 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.832 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.836 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.837 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.839 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.841 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.842 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.845 * [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)))))))) 0.845 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (* 1 (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) into (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) 0.845 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.845 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.845 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.845 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.845 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.845 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.845 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.845 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.845 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.845 * [taylor]: Taking taylor expansion of re in im 0.845 * [backup-simplify]: Simplify re into re 0.845 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.845 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.845 * [taylor]: Taking taylor expansion of re in im 0.845 * [backup-simplify]: Simplify re into re 0.846 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.846 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [backup-simplify]: Simplify (* 1 1) into 1 0.847 * [backup-simplify]: Simplify (+ 0 1) into 1 0.847 * [backup-simplify]: Simplify (sqrt 1) into 1 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.849 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re) 0.849 * [backup-simplify]: Simplify (+ 1 0) into 1 0.849 * [backup-simplify]: Simplify (sqrt 0) into 0 0.850 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.850 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.850 * [taylor]: Taking taylor expansion of 2.0 in im 0.850 * [backup-simplify]: Simplify 2.0 into 2.0 0.850 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.851 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.851 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.851 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.851 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.851 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.851 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (/ 1 im) into (/ 1 im) 0.852 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (/ 1 im) into (/ 1 im) 0.852 * [backup-simplify]: Simplify (* 1 1) into 1 0.852 * [backup-simplify]: Simplify (+ 1 0) into 1 0.852 * [backup-simplify]: Simplify (sqrt 1) into 1 0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 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 (/ 1 re) in re 0.854 * [taylor]: Taking taylor expansion of re in re 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (/ 1 1) into 1 0.855 * [backup-simplify]: Simplify (- 1) into -1 0.855 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.857 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.858 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.858 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- 0) into 0 0.859 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.859 * [backup-simplify]: Simplify (sqrt 0) into 0 0.860 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.860 * [taylor]: Taking taylor expansion of 2.0 in re 0.860 * [backup-simplify]: Simplify 2.0 into 2.0 0.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.861 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.861 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.861 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.861 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.861 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.861 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify (/ 1 1) into 1 0.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify (/ 1 1) into 1 0.862 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.862 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.862 * [taylor]: Taking taylor expansion of im in re 0.862 * [backup-simplify]: Simplify im into im 0.862 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.862 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.862 * [taylor]: Taking taylor expansion of im in re 0.862 * [backup-simplify]: Simplify im into im 0.862 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.862 * [backup-simplify]: Simplify (* 1 1) into 1 0.862 * [backup-simplify]: Simplify (+ 1 0) into 1 0.862 * [backup-simplify]: Simplify (sqrt 1) into 1 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [backup-simplify]: Simplify (- 1) into -1 0.865 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (- 0) into 0 0.868 * [backup-simplify]: Simplify (+ 0 0) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.870 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.870 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.871 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.872 * [backup-simplify]: Simplify (sqrt 0) into 0 0.872 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.873 * [taylor]: Taking taylor expansion of 2.0 in re 0.873 * [backup-simplify]: Simplify 2.0 into 2.0 0.873 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.874 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 0.874 * [taylor]: Taking taylor expansion of 0 in im 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.874 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.874 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.874 * [taylor]: Taking taylor expansion of +nan.0 in im 0.874 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.874 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.874 * [taylor]: Taking taylor expansion of 2.0 in im 0.874 * [backup-simplify]: Simplify 2.0 into 2.0 0.875 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 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 0.876 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.877 * [backup-simplify]: Simplify (- 0) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.880 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (- 0) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (* (/ +nan.0 (pow im 4)) (sqrt 2.0)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.883 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.883 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.883 * [taylor]: Taking taylor expansion of +nan.0 in im 0.883 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.883 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.883 * [taylor]: Taking taylor expansion of 2.0 in im 0.883 * [backup-simplify]: Simplify 2.0 into 2.0 0.884 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.884 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.884 * [taylor]: Taking taylor expansion of im in im 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (* 1 1) into 1 0.884 * [backup-simplify]: Simplify (* 1 1) into 1 0.885 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.892 * [backup-simplify]: Simplify (- 0) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.894 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- 0) into 0 0.899 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.900 * [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)))))) 0.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (+ (* (/ +nan.0 (pow im 4)) 0) (* (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.901 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.901 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.901 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.901 * [taylor]: Taking taylor expansion of +nan.0 in im 0.901 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.901 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.901 * [taylor]: Taking taylor expansion of 2.0 in im 0.901 * [backup-simplify]: Simplify 2.0 into 2.0 0.901 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.902 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.902 * [taylor]: Taking taylor expansion of im in im 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (* 1 1) into 1 0.902 * [backup-simplify]: Simplify (* 1 1) into 1 0.903 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.903 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.903 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.903 * [taylor]: Taking taylor expansion of +nan.0 in im 0.903 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.903 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.903 * [taylor]: Taking taylor expansion of 2.0 in im 0.903 * [backup-simplify]: Simplify 2.0 into 2.0 0.903 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.904 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.904 * [taylor]: Taking taylor expansion of im in im 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.906 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (- 0) into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (* 1 (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) 0.928 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.928 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.928 * [taylor]: Taking taylor expansion of 2.0 in im 0.928 * [backup-simplify]: Simplify 2.0 into 2.0 0.928 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.929 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.929 * [taylor]: Taking taylor expansion of re in im 0.929 * [backup-simplify]: Simplify re into re 0.929 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.929 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.930 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.930 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.930 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.930 * [taylor]: Taking taylor expansion of -1 in im 0.930 * [backup-simplify]: Simplify -1 into -1 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [backup-simplify]: Simplify re into re 0.930 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.930 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.930 * [taylor]: Taking taylor expansion of -1 in im 0.930 * [backup-simplify]: Simplify -1 into -1 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [backup-simplify]: Simplify re into re 0.930 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.930 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.930 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.930 * [taylor]: Taking taylor expansion of -1 in im 0.930 * [backup-simplify]: Simplify -1 into -1 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 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.930 * [taylor]: Taking taylor expansion of -1 in im 0.930 * [backup-simplify]: Simplify -1 into -1 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 0.931 * [backup-simplify]: Simplify (/ -1 1) into -1 0.931 * [backup-simplify]: Simplify (* -1 -1) into 1 0.931 * [backup-simplify]: Simplify (+ 0 1) into 1 0.931 * [backup-simplify]: Simplify (sqrt 1) into 1 0.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.934 * [backup-simplify]: Simplify (+ 0 1) into 1 0.934 * [backup-simplify]: Simplify (sqrt 0) into 0 0.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.935 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.935 * [taylor]: Taking taylor expansion of 2.0 in re 0.935 * [backup-simplify]: Simplify 2.0 into 2.0 0.935 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.936 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.936 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.936 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.936 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.936 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.936 * [taylor]: Taking taylor expansion of -1 in re 0.936 * [backup-simplify]: Simplify -1 into -1 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 0.937 * [backup-simplify]: Simplify (/ -1 1) into -1 0.937 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.937 * [taylor]: Taking taylor expansion of -1 in re 0.937 * [backup-simplify]: Simplify -1 into -1 0.937 * [taylor]: Taking taylor expansion of re in re 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (/ -1 1) into -1 0.937 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.937 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.937 * [taylor]: Taking taylor expansion of -1 in re 0.937 * [backup-simplify]: Simplify -1 into -1 0.937 * [taylor]: Taking taylor expansion of im in re 0.937 * [backup-simplify]: Simplify im into im 0.937 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.937 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.937 * [taylor]: Taking taylor expansion of -1 in re 0.937 * [backup-simplify]: Simplify -1 into -1 0.937 * [taylor]: Taking taylor expansion of im in re 0.937 * [backup-simplify]: Simplify im into im 0.937 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.937 * [backup-simplify]: Simplify (* -1 -1) into 1 0.938 * [backup-simplify]: Simplify (+ 1 0) into 1 0.938 * [backup-simplify]: Simplify (sqrt 1) into 1 0.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.940 * [backup-simplify]: Simplify (+ 1 1) into 2 0.940 * [backup-simplify]: Simplify (sqrt 0) into 0 0.941 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.941 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.941 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.941 * [taylor]: Taking taylor expansion of 2.0 in re 0.941 * [backup-simplify]: Simplify 2.0 into 2.0 0.941 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ 1 1) into 1 0.942 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.942 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.942 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.942 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.942 * [taylor]: Taking taylor expansion of -1 in re 0.942 * [backup-simplify]: Simplify -1 into -1 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (/ -1 1) into -1 0.943 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.943 * [taylor]: Taking taylor expansion of -1 in re 0.943 * [backup-simplify]: Simplify -1 into -1 0.943 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.943 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.943 * [taylor]: Taking taylor expansion of -1 in re 0.943 * [backup-simplify]: Simplify -1 into -1 0.943 * [taylor]: Taking taylor expansion of im in re 0.943 * [backup-simplify]: Simplify im into im 0.943 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.943 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.943 * [taylor]: Taking taylor expansion of -1 in re 0.943 * [backup-simplify]: Simplify -1 into -1 0.943 * [taylor]: Taking taylor expansion of im in re 0.943 * [backup-simplify]: Simplify im into im 0.943 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.943 * [backup-simplify]: Simplify (* -1 -1) into 1 0.944 * [backup-simplify]: Simplify (+ 1 0) into 1 0.944 * [backup-simplify]: Simplify (sqrt 1) into 1 0.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.945 * [backup-simplify]: Simplify (+ 0 0) into 0 0.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.946 * [backup-simplify]: Simplify (+ 1 1) into 2 0.946 * [backup-simplify]: Simplify (sqrt 0) into 0 0.947 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.947 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.947 * [taylor]: Taking taylor expansion of 0 in im 0.947 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.949 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.949 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.949 * [taylor]: Taking taylor expansion of +nan.0 in im 0.949 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.949 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.949 * [taylor]: Taking taylor expansion of 2.0 in im 0.949 * [backup-simplify]: Simplify 2.0 into 2.0 0.949 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.954 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.954 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.954 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.954 * [taylor]: Taking taylor expansion of +nan.0 in im 0.954 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.954 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.954 * [taylor]: Taking taylor expansion of 2.0 in im 0.954 * [backup-simplify]: Simplify 2.0 into 2.0 0.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.955 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.956 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.957 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.957 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.963 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.963 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.964 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.964 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.965 * [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)) 0.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.966 * [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))))) 0.967 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.967 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.967 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.967 * [taylor]: Taking taylor expansion of +nan.0 in im 0.967 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.967 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.967 * [taylor]: Taking taylor expansion of 2.0 in im 0.967 * [backup-simplify]: Simplify 2.0 into 2.0 0.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.967 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.967 * [taylor]: Taking taylor expansion of im in im 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (* 1 1) into 1 0.968 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.968 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.968 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.968 * [taylor]: Taking taylor expansion of +nan.0 in im 0.968 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.968 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.968 * [taylor]: Taking taylor expansion of 2.0 in im 0.968 * [backup-simplify]: Simplify 2.0 into 2.0 0.969 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.972 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.973 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.974 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) 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 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.976 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.976 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.977 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [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))) 0.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.981 * [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))))) 0.981 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.981 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.981 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.981 * [taylor]: Taking taylor expansion of +nan.0 in im 0.981 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.981 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.981 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.981 * [taylor]: Taking taylor expansion of 2.0 in im 0.981 * [backup-simplify]: Simplify 2.0 into 2.0 0.981 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.981 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.981 * [taylor]: Taking taylor expansion of im in im 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.982 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.982 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.982 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.982 * [taylor]: Taking taylor expansion of +nan.0 in im 0.982 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.982 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.982 * [taylor]: Taking taylor expansion of 2.0 in im 0.982 * [backup-simplify]: Simplify 2.0 into 2.0 0.983 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (- 0) into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.988 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.989 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.990 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.991 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.992 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.996 * [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))))))) 0.996 * * * [progress]: simplifying candidates 0.996 * [simplify]: Simplifying: (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* 1 (hypot re im)) re)) (log1p (- (* 1 (hypot re im)) re)) (- re) (/ (exp (* 1 (hypot re im))) (exp re)) (log (- (* 1 (hypot re im)) re)) (exp (- (* 1 (hypot re im)) re)) (* (cbrt (- (* 1 (hypot re im)) re)) (cbrt (- (* 1 (hypot re im)) re))) (cbrt (- (* 1 (hypot re im)) re)) (* (* (- (* 1 (hypot re im)) re) (- (* 1 (hypot re im)) re)) (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (- (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (+ (* re re) (* (* 1 (hypot re im)) re))) (- re) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (+ (* 1 (hypot re im)) re) (- (hypot re im) re) (- re) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (* (* (sqrt (* 2.0 (- (* 1 (hypot re im)) re))) (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt 2.0) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (* 2.0 (- (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (+ (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (+ (* 1 (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (- im re) 0 (* -2 re) im re (* -1 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))))))) 0.997 * [simplify]: Sending expressions to egg_math: (fma 1 (hypot h0 h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma 1 (hypot h0 h1) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma 1 (hypot h0 h1) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (* 1 (hypot h0 h1)) h0)) (log1p (- (* 1 (hypot h0 h1)) h0)) (- h0) (/ (exp (* 1 (hypot h0 h1))) (exp h0)) (log (- (* 1 (hypot h0 h1)) h0)) (exp (- (* 1 (hypot h0 h1)) h0)) (* (cbrt (- (* 1 (hypot h0 h1)) h0)) (cbrt (- (* 1 (hypot h0 h1)) h0))) (cbrt (- (* 1 (hypot h0 h1)) h0)) (* (* (- (* 1 (hypot h0 h1)) h0) (- (* 1 (hypot h0 h1)) h0)) (- (* 1 (hypot h0 h1)) h0)) (sqrt (- (* 1 (hypot h0 h1)) h0)) (sqrt (- (* 1 (hypot h0 h1)) h0)) (- (pow (* 1 (hypot h0 h1)) 3) (pow h0 3)) (+ (* (* 1 (hypot h0 h1)) (* 1 (hypot h0 h1))) (+ (* h0 h0) (* (* 1 (hypot h0 h1)) h0))) (- h0) (- (* (* 1 (hypot h0 h1)) (* 1 (hypot h0 h1))) (* h0 h0)) (+ (* 1 (hypot h0 h1)) h0) (- (hypot h0 h1) h0) (- h0) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (expm1 (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (log1p (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (log (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (exp (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (* (cbrt (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (cbrt (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0))))) (cbrt (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (* (* (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0))) (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (sqrt h2) (sqrt (- (* 1 (hypot h0 h1)) h0)) (sqrt (* h2 (- (pow (* 1 (hypot h0 h1)) 3) (pow h0 3)))) (sqrt (+ (* (* 1 (hypot h0 h1)) (* 1 (hypot h0 h1))) (+ (* h0 h0) (* (* 1 (hypot h0 h1)) h0)))) (sqrt (* h2 (- (* (* 1 (hypot h0 h1)) (* 1 (hypot h0 h1))) (* h0 h0)))) (sqrt (+ (* 1 (hypot h0 h1)) h0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (sqrt (sqrt (* h2 (- (* 1 (hypot h0 h1)) h0)))) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 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))))))) 1.000 * * [simplify]: iteration 0 : 235 enodes (cost 265 ) 1.004 * * [simplify]: iteration 1 : 803 enodes (cost 220 ) 1.026 * * [simplify]: iteration 2 : 5002 enodes (cost 213 ) 1.027 * * * [progress]: adding candidates to table 1.160 * * [progress]: iteration 3 / 4 1.160 * * * [progress]: picking best candidate 1.174 * * * * [pick]: Picked # 1.174 * * * [progress]: localizing error 1.184 * * * [progress]: generating rewritten candidates 1.185 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.214 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 1.226 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 2 1) 1.228 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 1.231 * * * [progress]: generating series expansions 1.231 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.231 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) into (- (hypot re im) re) 1.231 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.231 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.231 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.231 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.231 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.231 * [taylor]: Taking taylor expansion of (* re re) in im 1.231 * [taylor]: Taking taylor expansion of re in im 1.231 * [backup-simplify]: Simplify re into re 1.231 * [taylor]: Taking taylor expansion of re in im 1.231 * [backup-simplify]: Simplify re into re 1.231 * [taylor]: Taking taylor expansion of (* im im) in im 1.231 * [taylor]: Taking taylor expansion of im in im 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [taylor]: Taking taylor expansion of im in im 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.232 * [backup-simplify]: Simplify (* 0 0) into 0 1.232 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.232 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.232 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.233 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.233 * [backup-simplify]: Simplify (+ 0 0) into 0 1.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.233 * [taylor]: Taking taylor expansion of re in im 1.233 * [backup-simplify]: Simplify re into re 1.233 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.233 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.233 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.233 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.233 * [taylor]: Taking taylor expansion of (* re re) in re 1.233 * [taylor]: Taking taylor expansion of re in re 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [taylor]: Taking taylor expansion of re in re 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.234 * [taylor]: Taking taylor expansion of (* im im) in re 1.234 * [taylor]: Taking taylor expansion of im in re 1.234 * [backup-simplify]: Simplify im into im 1.234 * [taylor]: Taking taylor expansion of im in re 1.234 * [backup-simplify]: Simplify im into im 1.234 * [backup-simplify]: Simplify (* 0 0) into 0 1.234 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.234 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.234 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.235 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.235 * [taylor]: Taking taylor expansion of re in re 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.235 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.235 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.235 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.235 * [taylor]: Taking taylor expansion of (* re re) in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [taylor]: Taking taylor expansion of re in re 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [taylor]: Taking taylor expansion of (* im im) in re 1.235 * [taylor]: Taking taylor expansion of im in re 1.235 * [backup-simplify]: Simplify im into im 1.235 * [taylor]: Taking taylor expansion of im in re 1.235 * [backup-simplify]: Simplify im into im 1.235 * [backup-simplify]: Simplify (* 0 0) into 0 1.236 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.236 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.236 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.236 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.237 * [taylor]: Taking taylor expansion of re in re 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify (- 0) into 0 1.237 * [backup-simplify]: Simplify (+ im 0) into im 1.237 * [taylor]: Taking taylor expansion of im in im 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (- 1) into -1 1.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.238 * [backup-simplify]: Simplify -1 into -1 1.238 * [backup-simplify]: Simplify -1 into -1 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.239 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.239 * [backup-simplify]: Simplify (+ 1 0) into 1 1.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.240 * [backup-simplify]: Simplify (- 0) into 0 1.240 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.240 * [taylor]: Taking taylor expansion of 1/2 in im 1.240 * [backup-simplify]: Simplify 1/2 into 1/2 1.240 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.240 * [taylor]: Taking taylor expansion of im in im 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.243 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [taylor]: Taking taylor expansion of 0 in im 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.244 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.244 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.244 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.244 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.245 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.245 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.245 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.245 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.245 * [taylor]: Taking taylor expansion of re in im 1.245 * [backup-simplify]: Simplify re into re 1.245 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.245 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.245 * [taylor]: Taking taylor expansion of re in im 1.245 * [backup-simplify]: Simplify re into re 1.245 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.245 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.245 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.245 * [taylor]: Taking taylor expansion of im in im 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.245 * [taylor]: Taking taylor expansion of im in im 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (/ 1 1) into 1 1.246 * [backup-simplify]: Simplify (* 1 1) into 1 1.246 * [backup-simplify]: Simplify (+ 0 1) into 1 1.246 * [backup-simplify]: Simplify (sqrt 1) into 1 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.248 * [taylor]: Taking taylor expansion of re in im 1.248 * [backup-simplify]: Simplify re into re 1.248 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.248 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.248 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.248 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.248 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.248 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.248 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.248 * [taylor]: Taking taylor expansion of re in re 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (/ 1 1) into 1 1.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.249 * [taylor]: Taking taylor expansion of re in re 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.249 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.249 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.249 * [taylor]: Taking taylor expansion of im in re 1.249 * [backup-simplify]: Simplify im into im 1.249 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.249 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.249 * [taylor]: Taking taylor expansion of im in re 1.249 * [backup-simplify]: Simplify im into im 1.249 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.249 * [backup-simplify]: Simplify (* 1 1) into 1 1.249 * [backup-simplify]: Simplify (+ 1 0) into 1 1.250 * [backup-simplify]: Simplify (sqrt 1) into 1 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.252 * [taylor]: Taking taylor expansion of re in re 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (/ 1 1) into 1 1.252 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.252 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.252 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.252 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.252 * [taylor]: Taking taylor expansion of re in re 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (/ 1 1) into 1 1.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.252 * [taylor]: Taking taylor expansion of re in re 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.253 * [backup-simplify]: Simplify (/ 1 1) into 1 1.253 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.253 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.253 * [taylor]: Taking taylor expansion of im in re 1.253 * [backup-simplify]: Simplify im into im 1.253 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.253 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.253 * [taylor]: Taking taylor expansion of im in re 1.253 * [backup-simplify]: Simplify im into im 1.253 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.253 * [backup-simplify]: Simplify (* 1 1) into 1 1.253 * [backup-simplify]: Simplify (+ 1 0) into 1 1.254 * [backup-simplify]: Simplify (sqrt 1) into 1 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.256 * [backup-simplify]: Simplify (/ 1 1) into 1 1.256 * [backup-simplify]: Simplify (- 1) into -1 1.256 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.256 * [taylor]: Taking taylor expansion of 0 in im 1.256 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.257 * [backup-simplify]: Simplify (- 0) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in im 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.259 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.259 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.260 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (- 0) into 0 1.261 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.261 * [taylor]: Taking taylor expansion of 1/2 in im 1.261 * [backup-simplify]: Simplify 1/2 into 1/2 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.261 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.261 * [taylor]: Taking taylor expansion of im in im 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify (* 1 1) into 1 1.261 * [backup-simplify]: Simplify (/ 1 1) into 1 1.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.264 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.265 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.266 * [backup-simplify]: Simplify (- 0) into 0 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [taylor]: Taking taylor expansion of 0 in im 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1.268 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.268 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.268 * [taylor]: Taking taylor expansion of re in im 1.268 * [backup-simplify]: Simplify re into re 1.268 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.268 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.268 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.268 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.268 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.268 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.268 * [taylor]: Taking taylor expansion of -1 in im 1.268 * [backup-simplify]: Simplify -1 into -1 1.268 * [taylor]: Taking taylor expansion of re in im 1.268 * [backup-simplify]: Simplify re into re 1.268 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.268 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.268 * [taylor]: Taking taylor expansion of -1 in im 1.268 * [backup-simplify]: Simplify -1 into -1 1.268 * [taylor]: Taking taylor expansion of re in im 1.268 * [backup-simplify]: Simplify re into re 1.268 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.268 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.268 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.268 * [taylor]: Taking taylor expansion of -1 in im 1.268 * [backup-simplify]: Simplify -1 into -1 1.268 * [taylor]: Taking taylor expansion of im in im 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (/ -1 1) into -1 1.269 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.269 * [taylor]: Taking taylor expansion of -1 in im 1.269 * [backup-simplify]: Simplify -1 into -1 1.269 * [taylor]: Taking taylor expansion of im in im 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (/ -1 1) into -1 1.269 * [backup-simplify]: Simplify (* -1 -1) into 1 1.270 * [backup-simplify]: Simplify (+ 0 1) into 1 1.270 * [backup-simplify]: Simplify (sqrt 1) into 1 1.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 1 into 1 1.272 * [backup-simplify]: Simplify (/ 1 1) into 1 1.272 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.272 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.272 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.272 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.272 * [taylor]: Taking taylor expansion of -1 in re 1.272 * [backup-simplify]: Simplify -1 into -1 1.272 * [taylor]: Taking taylor expansion of re in re 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 1 into 1 1.273 * [backup-simplify]: Simplify (/ -1 1) into -1 1.273 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [backup-simplify]: Simplify -1 into -1 1.273 * [taylor]: Taking taylor expansion of re in re 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 1 into 1 1.273 * [backup-simplify]: Simplify (/ -1 1) into -1 1.273 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [backup-simplify]: Simplify -1 into -1 1.273 * [taylor]: Taking taylor expansion of im in re 1.273 * [backup-simplify]: Simplify im into im 1.273 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.273 * [taylor]: Taking taylor expansion of -1 in re 1.273 * [backup-simplify]: Simplify -1 into -1 1.273 * [taylor]: Taking taylor expansion of im in re 1.273 * [backup-simplify]: Simplify im into im 1.273 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.274 * [backup-simplify]: Simplify (* -1 -1) into 1 1.274 * [backup-simplify]: Simplify (+ 1 0) into 1 1.274 * [backup-simplify]: Simplify (sqrt 1) into 1 1.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.276 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.276 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.276 * [taylor]: Taking taylor expansion of re in re 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.276 * [backup-simplify]: Simplify (/ 1 1) into 1 1.276 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.276 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.276 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.276 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.276 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.276 * [taylor]: Taking taylor expansion of -1 in re 1.276 * [backup-simplify]: Simplify -1 into -1 1.276 * [taylor]: Taking taylor expansion of re in re 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (/ -1 1) into -1 1.277 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.277 * [taylor]: Taking taylor expansion of -1 in re 1.277 * [backup-simplify]: Simplify -1 into -1 1.277 * [taylor]: Taking taylor expansion of re in re 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (/ -1 1) into -1 1.277 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.277 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.277 * [taylor]: Taking taylor expansion of -1 in re 1.277 * [backup-simplify]: Simplify -1 into -1 1.277 * [taylor]: Taking taylor expansion of im in re 1.277 * [backup-simplify]: Simplify im into im 1.277 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.277 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.277 * [taylor]: Taking taylor expansion of -1 in re 1.277 * [backup-simplify]: Simplify -1 into -1 1.277 * [taylor]: Taking taylor expansion of im in re 1.277 * [backup-simplify]: Simplify im into im 1.277 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.278 * [backup-simplify]: Simplify (* -1 -1) into 1 1.278 * [backup-simplify]: Simplify (+ 1 0) into 1 1.278 * [backup-simplify]: Simplify (sqrt 1) into 1 1.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.280 * [backup-simplify]: Simplify (+ 1 1) into 2 1.280 * [taylor]: Taking taylor expansion of 2 in im 1.280 * [backup-simplify]: Simplify 2 into 2 1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.281 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [taylor]: Taking taylor expansion of 0 in im 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 2 into 2 1.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.283 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.283 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.284 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.284 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.284 * [taylor]: Taking taylor expansion of 1/2 in im 1.284 * [backup-simplify]: Simplify 1/2 into 1/2 1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.284 * [taylor]: Taking taylor expansion of im in im 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (* 1 1) into 1 1.285 * [backup-simplify]: Simplify (/ 1 1) into 1 1.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.289 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.289 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.289 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [taylor]: Taking taylor expansion of 0 in im 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.291 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 1.292 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 1.292 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.292 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.292 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.292 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.292 * [taylor]: Taking taylor expansion of (* re re) in im 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [backup-simplify]: Simplify re into re 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [backup-simplify]: Simplify re into re 1.292 * [taylor]: Taking taylor expansion of (* im im) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.292 * [backup-simplify]: Simplify (* 0 0) into 0 1.292 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.292 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.292 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.293 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.293 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.293 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.293 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.293 * [taylor]: Taking taylor expansion of (* re re) in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [taylor]: Taking taylor expansion of re in re 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [taylor]: Taking taylor expansion of (* im im) in re 1.293 * [taylor]: Taking taylor expansion of im in re 1.293 * [backup-simplify]: Simplify im into im 1.293 * [taylor]: Taking taylor expansion of im in re 1.294 * [backup-simplify]: Simplify im into im 1.294 * [backup-simplify]: Simplify (* 0 0) into 0 1.294 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.294 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.294 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.294 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.295 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.295 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.295 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.295 * [taylor]: Taking taylor expansion of (* re re) in re 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [taylor]: Taking taylor expansion of (* im im) in re 1.295 * [taylor]: Taking taylor expansion of im in re 1.295 * [backup-simplify]: Simplify im into im 1.295 * [taylor]: Taking taylor expansion of im in re 1.295 * [backup-simplify]: Simplify im into im 1.295 * [backup-simplify]: Simplify (* 0 0) into 0 1.295 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.295 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.296 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.296 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.296 * [taylor]: Taking taylor expansion of im in im 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [taylor]: Taking taylor expansion of 0 in im 1.296 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.297 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.298 * [backup-simplify]: Simplify (+ 1 0) into 1 1.298 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.298 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.298 * [taylor]: Taking taylor expansion of 1/2 in im 1.298 * [backup-simplify]: Simplify 1/2 into 1/2 1.298 * [taylor]: Taking taylor expansion of im in im 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.300 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.300 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.300 * [taylor]: Taking taylor expansion of 0 in im 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.301 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 1.301 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.301 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.301 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.301 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.301 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.301 * [taylor]: Taking taylor expansion of re in im 1.301 * [backup-simplify]: Simplify re into re 1.301 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.301 * [taylor]: Taking taylor expansion of re in im 1.301 * [backup-simplify]: Simplify re into re 1.302 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.302 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.302 * [taylor]: Taking taylor expansion of im in im 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [backup-simplify]: Simplify (/ 1 1) into 1 1.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.302 * [taylor]: Taking taylor expansion of im in im 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [backup-simplify]: Simplify (/ 1 1) into 1 1.302 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (+ 0 1) into 1 1.303 * [backup-simplify]: Simplify (sqrt 1) into 1 1.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.304 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.305 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.305 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.305 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (/ 1 1) into 1 1.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (/ 1 1) into 1 1.305 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.306 * [backup-simplify]: Simplify im into im 1.306 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.306 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.306 * [backup-simplify]: Simplify im into im 1.306 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.306 * [backup-simplify]: Simplify (* 1 1) into 1 1.306 * [backup-simplify]: Simplify (+ 1 0) into 1 1.306 * [backup-simplify]: Simplify (sqrt 1) into 1 1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.308 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.308 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.308 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.308 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.309 * [taylor]: Taking taylor expansion of re in re 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.309 * [taylor]: Taking taylor expansion of im in re 1.309 * [backup-simplify]: Simplify im into im 1.309 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.309 * [taylor]: Taking taylor expansion of im in re 1.309 * [backup-simplify]: Simplify im into im 1.309 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.310 * [backup-simplify]: Simplify (+ 1 0) into 1 1.310 * [backup-simplify]: Simplify (sqrt 1) into 1 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.312 * [taylor]: Taking taylor expansion of 1 in im 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [taylor]: Taking taylor expansion of 0 in im 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.313 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.314 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.314 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.314 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.314 * [taylor]: Taking taylor expansion of 1/2 in im 1.314 * [backup-simplify]: Simplify 1/2 into 1/2 1.314 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.314 * [taylor]: Taking taylor expansion of im in im 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (* 1 1) into 1 1.315 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.318 * [taylor]: Taking taylor expansion of 0 in im 1.318 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.320 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 1.320 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.320 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.320 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.320 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.320 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.320 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.320 * [taylor]: Taking taylor expansion of -1 in im 1.320 * [backup-simplify]: Simplify -1 into -1 1.320 * [taylor]: Taking taylor expansion of re in im 1.320 * [backup-simplify]: Simplify re into re 1.320 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.320 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.320 * [taylor]: Taking taylor expansion of -1 in im 1.320 * [backup-simplify]: Simplify -1 into -1 1.320 * [taylor]: Taking taylor expansion of re in im 1.320 * [backup-simplify]: Simplify re into re 1.320 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.320 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.320 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.320 * [taylor]: Taking taylor expansion of -1 in im 1.320 * [backup-simplify]: Simplify -1 into -1 1.320 * [taylor]: Taking taylor expansion of im in im 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (/ -1 1) into -1 1.321 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.321 * [taylor]: Taking taylor expansion of -1 in im 1.321 * [backup-simplify]: Simplify -1 into -1 1.321 * [taylor]: Taking taylor expansion of im in im 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (/ -1 1) into -1 1.321 * [backup-simplify]: Simplify (* -1 -1) into 1 1.321 * [backup-simplify]: Simplify (+ 0 1) into 1 1.322 * [backup-simplify]: Simplify (sqrt 1) into 1 1.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.327 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.327 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.327 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.327 * [taylor]: Taking taylor expansion of -1 in re 1.327 * [backup-simplify]: Simplify -1 into -1 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (/ -1 1) into -1 1.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.327 * [taylor]: Taking taylor expansion of -1 in re 1.327 * [backup-simplify]: Simplify -1 into -1 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (/ -1 1) into -1 1.327 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.327 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.328 * [taylor]: Taking taylor expansion of -1 in re 1.328 * [backup-simplify]: Simplify -1 into -1 1.328 * [taylor]: Taking taylor expansion of im in re 1.328 * [backup-simplify]: Simplify im into im 1.328 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.328 * [taylor]: Taking taylor expansion of -1 in re 1.328 * [backup-simplify]: Simplify -1 into -1 1.328 * [taylor]: Taking taylor expansion of im in re 1.328 * [backup-simplify]: Simplify im into im 1.328 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.328 * [backup-simplify]: Simplify (* -1 -1) into 1 1.328 * [backup-simplify]: Simplify (+ 1 0) into 1 1.328 * [backup-simplify]: Simplify (sqrt 1) into 1 1.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.330 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.331 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.331 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.331 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.331 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.331 * [taylor]: Taking taylor expansion of -1 in re 1.331 * [backup-simplify]: Simplify -1 into -1 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (/ -1 1) into -1 1.331 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.331 * [taylor]: Taking taylor expansion of -1 in re 1.331 * [backup-simplify]: Simplify -1 into -1 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (/ -1 1) into -1 1.331 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.331 * [taylor]: Taking taylor expansion of -1 in re 1.331 * [backup-simplify]: Simplify -1 into -1 1.331 * [taylor]: Taking taylor expansion of im in re 1.331 * [backup-simplify]: Simplify im into im 1.331 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.331 * [taylor]: Taking taylor expansion of -1 in re 1.331 * [backup-simplify]: Simplify -1 into -1 1.331 * [taylor]: Taking taylor expansion of im in re 1.331 * [backup-simplify]: Simplify im into im 1.332 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.332 * [backup-simplify]: Simplify (* -1 -1) into 1 1.332 * [backup-simplify]: Simplify (+ 1 0) into 1 1.332 * [backup-simplify]: Simplify (sqrt 1) into 1 1.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.334 * [taylor]: Taking taylor expansion of 1 in im 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of 0 in im 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.336 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.336 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.337 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.337 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.337 * [taylor]: Taking taylor expansion of 1/2 in im 1.337 * [backup-simplify]: Simplify 1/2 into 1/2 1.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.341 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.341 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.342 * [taylor]: Taking taylor expansion of 0 in im 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.343 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 2 1) 1.343 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 1.343 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.343 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.343 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.343 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.343 * [taylor]: Taking taylor expansion of (* re re) in im 1.343 * [taylor]: Taking taylor expansion of re in im 1.343 * [backup-simplify]: Simplify re into re 1.343 * [taylor]: Taking taylor expansion of re in im 1.343 * [backup-simplify]: Simplify re into re 1.343 * [taylor]: Taking taylor expansion of (* im im) in im 1.343 * [taylor]: Taking taylor expansion of im in im 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [taylor]: Taking taylor expansion of im in im 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.343 * [backup-simplify]: Simplify (* 0 0) into 0 1.344 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.344 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.344 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.344 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.344 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.345 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.345 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.345 * [taylor]: Taking taylor expansion of (* re re) in re 1.345 * [taylor]: Taking taylor expansion of re in re 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.345 * [taylor]: Taking taylor expansion of re in re 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.345 * [taylor]: Taking taylor expansion of (* im im) in re 1.345 * [taylor]: Taking taylor expansion of im in re 1.345 * [backup-simplify]: Simplify im into im 1.345 * [taylor]: Taking taylor expansion of im in re 1.345 * [backup-simplify]: Simplify im into im 1.345 * [backup-simplify]: Simplify (* 0 0) into 0 1.345 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.345 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.345 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.346 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.346 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.346 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.346 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.346 * [taylor]: Taking taylor expansion of (* re re) in re 1.346 * [taylor]: Taking taylor expansion of re in re 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [taylor]: Taking taylor expansion of re in re 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [taylor]: Taking taylor expansion of (* im im) in re 1.346 * [taylor]: Taking taylor expansion of im in re 1.346 * [backup-simplify]: Simplify im into im 1.346 * [taylor]: Taking taylor expansion of im in re 1.346 * [backup-simplify]: Simplify im into im 1.346 * [backup-simplify]: Simplify (* 0 0) into 0 1.347 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.347 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.347 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.347 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.347 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.348 * [taylor]: Taking taylor expansion of im in im 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [taylor]: Taking taylor expansion of 0 in im 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.348 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.349 * [backup-simplify]: Simplify (+ 1 0) into 1 1.349 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.349 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.349 * [taylor]: Taking taylor expansion of 1/2 in im 1.349 * [backup-simplify]: Simplify 1/2 into 1/2 1.349 * [taylor]: Taking taylor expansion of im in im 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.351 * [taylor]: Taking taylor expansion of 0 in im 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.352 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 1.352 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.352 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.352 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.352 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.352 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.352 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [backup-simplify]: Simplify re into re 1.352 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.352 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [backup-simplify]: Simplify re into re 1.353 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.353 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.353 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.353 * [taylor]: Taking taylor expansion of im in im 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (/ 1 1) into 1 1.353 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.353 * [taylor]: Taking taylor expansion of im in im 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (/ 1 1) into 1 1.353 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify (+ 0 1) into 1 1.354 * [backup-simplify]: Simplify (sqrt 1) into 1 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.356 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.356 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.356 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.356 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (/ 1 1) into 1 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (/ 1 1) into 1 1.356 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [backup-simplify]: Simplify im into im 1.357 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [backup-simplify]: Simplify im into im 1.357 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.357 * [backup-simplify]: Simplify (* 1 1) into 1 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.357 * [backup-simplify]: Simplify (sqrt 1) into 1 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.359 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.360 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.360 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.360 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [backup-simplify]: Simplify im into im 1.360 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [backup-simplify]: Simplify im into im 1.360 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.361 * [backup-simplify]: Simplify (* 1 1) into 1 1.361 * [backup-simplify]: Simplify (+ 1 0) into 1 1.361 * [backup-simplify]: Simplify (sqrt 1) into 1 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.363 * [taylor]: Taking taylor expansion of 1 in im 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [taylor]: Taking taylor expansion of 0 in im 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.365 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.365 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.366 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.366 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.366 * [taylor]: Taking taylor expansion of 1/2 in im 1.366 * [backup-simplify]: Simplify 1/2 into 1/2 1.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.366 * [taylor]: Taking taylor expansion of im in im 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (* 1 1) into 1 1.366 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.369 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.370 * [taylor]: Taking taylor expansion of 0 in im 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.371 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 1.371 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.371 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.371 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.371 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.371 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.371 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.371 * [taylor]: Taking taylor expansion of -1 in im 1.371 * [backup-simplify]: Simplify -1 into -1 1.371 * [taylor]: Taking taylor expansion of re in im 1.371 * [backup-simplify]: Simplify re into re 1.371 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.371 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.371 * [taylor]: Taking taylor expansion of -1 in im 1.371 * [backup-simplify]: Simplify -1 into -1 1.371 * [taylor]: Taking taylor expansion of re in im 1.371 * [backup-simplify]: Simplify re into re 1.371 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.371 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.371 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.371 * [taylor]: Taking taylor expansion of -1 in im 1.371 * [backup-simplify]: Simplify -1 into -1 1.371 * [taylor]: Taking taylor expansion of im in im 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (/ -1 1) into -1 1.372 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.372 * [taylor]: Taking taylor expansion of -1 in im 1.372 * [backup-simplify]: Simplify -1 into -1 1.372 * [taylor]: Taking taylor expansion of im in im 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (/ -1 1) into -1 1.372 * [backup-simplify]: Simplify (* -1 -1) into 1 1.373 * [backup-simplify]: Simplify (+ 0 1) into 1 1.373 * [backup-simplify]: Simplify (sqrt 1) into 1 1.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.375 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.375 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.375 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.375 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.375 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.375 * [taylor]: Taking taylor expansion of -1 in re 1.375 * [backup-simplify]: Simplify -1 into -1 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (/ -1 1) into -1 1.375 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.375 * [taylor]: Taking taylor expansion of -1 in re 1.375 * [backup-simplify]: Simplify -1 into -1 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ -1 1) into -1 1.376 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.376 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.376 * [taylor]: Taking taylor expansion of -1 in re 1.376 * [backup-simplify]: Simplify -1 into -1 1.376 * [taylor]: Taking taylor expansion of im in re 1.376 * [backup-simplify]: Simplify im into im 1.376 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.376 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.376 * [taylor]: Taking taylor expansion of -1 in re 1.376 * [backup-simplify]: Simplify -1 into -1 1.376 * [taylor]: Taking taylor expansion of im in re 1.376 * [backup-simplify]: Simplify im into im 1.376 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.376 * [backup-simplify]: Simplify (* -1 -1) into 1 1.376 * [backup-simplify]: Simplify (+ 1 0) into 1 1.376 * [backup-simplify]: Simplify (sqrt 1) into 1 1.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.378 * [backup-simplify]: Simplify (+ 0 0) into 0 1.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.378 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.379 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.379 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.379 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.379 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.379 * [taylor]: Taking taylor expansion of -1 in re 1.379 * [backup-simplify]: Simplify -1 into -1 1.379 * [taylor]: Taking taylor expansion of re in re 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (/ -1 1) into -1 1.379 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.379 * [taylor]: Taking taylor expansion of -1 in re 1.379 * [backup-simplify]: Simplify -1 into -1 1.379 * [taylor]: Taking taylor expansion of re in re 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (/ -1 1) into -1 1.379 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.379 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.379 * [taylor]: Taking taylor expansion of -1 in re 1.379 * [backup-simplify]: Simplify -1 into -1 1.379 * [taylor]: Taking taylor expansion of im in re 1.379 * [backup-simplify]: Simplify im into im 1.379 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.379 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.379 * [taylor]: Taking taylor expansion of -1 in re 1.379 * [backup-simplify]: Simplify -1 into -1 1.379 * [taylor]: Taking taylor expansion of im in re 1.380 * [backup-simplify]: Simplify im into im 1.380 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.380 * [backup-simplify]: Simplify (* -1 -1) into 1 1.380 * [backup-simplify]: Simplify (+ 1 0) into 1 1.380 * [backup-simplify]: Simplify (sqrt 1) into 1 1.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.382 * [taylor]: Taking taylor expansion of 1 in im 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [taylor]: Taking taylor expansion of 0 in im 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.384 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.384 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.385 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.385 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.385 * [taylor]: Taking taylor expansion of 1/2 in im 1.385 * [backup-simplify]: Simplify 1/2 into 1/2 1.385 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.385 * [taylor]: Taking taylor expansion of im in im 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* 1 1) into 1 1.386 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.389 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.389 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.389 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.389 * [taylor]: Taking taylor expansion of 0 in im 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.391 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1) 1.391 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 1.391 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.391 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.391 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.391 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.391 * [taylor]: Taking taylor expansion of (* re re) in im 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [backup-simplify]: Simplify re into re 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [backup-simplify]: Simplify re into re 1.391 * [taylor]: Taking taylor expansion of (* im im) in im 1.391 * [taylor]: Taking taylor expansion of im in im 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [taylor]: Taking taylor expansion of im in im 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.391 * [backup-simplify]: Simplify (* 0 0) into 0 1.391 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.392 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.392 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.392 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.392 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.392 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.392 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.392 * [taylor]: Taking taylor expansion of (* re re) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of re in re 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [taylor]: Taking taylor expansion of (* im im) in re 1.393 * [taylor]: Taking taylor expansion of im in re 1.393 * [backup-simplify]: Simplify im into im 1.393 * [taylor]: Taking taylor expansion of im in re 1.393 * [backup-simplify]: Simplify im into im 1.393 * [backup-simplify]: Simplify (* 0 0) into 0 1.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.393 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.393 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.393 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.394 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.394 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.394 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.394 * [taylor]: Taking taylor expansion of (* re re) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [taylor]: Taking taylor expansion of (* im im) in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [backup-simplify]: Simplify im into im 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [backup-simplify]: Simplify im into im 1.394 * [backup-simplify]: Simplify (* 0 0) into 0 1.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.394 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.395 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.395 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.395 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.395 * [taylor]: Taking taylor expansion of im in im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [taylor]: Taking taylor expansion of 0 in im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.396 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.397 * [backup-simplify]: Simplify (+ 1 0) into 1 1.397 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.397 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.397 * [taylor]: Taking taylor expansion of 1/2 in im 1.397 * [backup-simplify]: Simplify 1/2 into 1/2 1.397 * [taylor]: Taking taylor expansion of im in im 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.400 * [taylor]: Taking taylor expansion of 0 in im 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.400 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 1.400 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.400 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.400 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.400 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.400 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.401 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.401 * [taylor]: Taking taylor expansion of re in im 1.401 * [backup-simplify]: Simplify re into re 1.401 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.401 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.401 * [taylor]: Taking taylor expansion of re in im 1.401 * [backup-simplify]: Simplify re into re 1.401 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.401 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.401 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.401 * [taylor]: Taking taylor expansion of im in im 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.401 * [taylor]: Taking taylor expansion of im in im 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.402 * [backup-simplify]: Simplify (+ 0 1) into 1 1.402 * [backup-simplify]: Simplify (sqrt 1) into 1 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.403 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.404 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.404 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.404 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.404 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.404 * [taylor]: Taking taylor expansion of re in re 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.404 * [taylor]: Taking taylor expansion of re in re 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.405 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.405 * [taylor]: Taking taylor expansion of im in re 1.405 * [backup-simplify]: Simplify im into im 1.405 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.405 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.405 * [taylor]: Taking taylor expansion of im in re 1.405 * [backup-simplify]: Simplify im into im 1.405 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.405 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (+ 1 0) into 1 1.405 * [backup-simplify]: Simplify (sqrt 1) into 1 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.407 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.407 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.408 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.408 * [taylor]: Taking taylor expansion of re in re 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.408 * [taylor]: Taking taylor expansion of re in re 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.408 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.408 * [backup-simplify]: Simplify im into im 1.408 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.408 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.408 * [backup-simplify]: Simplify im into im 1.408 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.409 * [backup-simplify]: Simplify (* 1 1) into 1 1.409 * [backup-simplify]: Simplify (+ 1 0) into 1 1.409 * [backup-simplify]: Simplify (sqrt 1) into 1 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.411 * [taylor]: Taking taylor expansion of 1 in im 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [taylor]: Taking taylor expansion of 0 in im 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.413 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.413 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.414 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.414 * [taylor]: Taking taylor expansion of 1/2 in im 1.414 * [backup-simplify]: Simplify 1/2 into 1/2 1.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.414 * [taylor]: Taking taylor expansion of im in im 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* 1 1) into 1 1.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.417 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.418 * [taylor]: Taking taylor expansion of 0 in im 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.419 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 1.419 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.419 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.419 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.419 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.419 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.419 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.419 * [taylor]: Taking taylor expansion of -1 in im 1.419 * [backup-simplify]: Simplify -1 into -1 1.419 * [taylor]: Taking taylor expansion of re in im 1.419 * [backup-simplify]: Simplify re into re 1.419 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.419 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.419 * [taylor]: Taking taylor expansion of -1 in im 1.419 * [backup-simplify]: Simplify -1 into -1 1.419 * [taylor]: Taking taylor expansion of re in im 1.419 * [backup-simplify]: Simplify re into re 1.419 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.419 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.419 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.419 * [taylor]: Taking taylor expansion of -1 in im 1.419 * [backup-simplify]: Simplify -1 into -1 1.419 * [taylor]: Taking taylor expansion of im in im 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (/ -1 1) into -1 1.420 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.420 * [taylor]: Taking taylor expansion of -1 in im 1.420 * [backup-simplify]: Simplify -1 into -1 1.420 * [taylor]: Taking taylor expansion of im in im 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (/ -1 1) into -1 1.420 * [backup-simplify]: Simplify (* -1 -1) into 1 1.421 * [backup-simplify]: Simplify (+ 0 1) into 1 1.421 * [backup-simplify]: Simplify (sqrt 1) into 1 1.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.425 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.425 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.425 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.426 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [backup-simplify]: Simplify -1 into -1 1.426 * [taylor]: Taking taylor expansion of re in re 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (/ -1 1) into -1 1.426 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [backup-simplify]: Simplify -1 into -1 1.426 * [taylor]: Taking taylor expansion of re in re 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (/ -1 1) into -1 1.426 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [backup-simplify]: Simplify -1 into -1 1.426 * [taylor]: Taking taylor expansion of im in re 1.426 * [backup-simplify]: Simplify im into im 1.426 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [backup-simplify]: Simplify -1 into -1 1.426 * [taylor]: Taking taylor expansion of im in re 1.426 * [backup-simplify]: Simplify im into im 1.426 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.427 * [backup-simplify]: Simplify (* -1 -1) into 1 1.427 * [backup-simplify]: Simplify (+ 1 0) into 1 1.427 * [backup-simplify]: Simplify (sqrt 1) into 1 1.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.429 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.429 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.429 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.429 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.429 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.429 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.429 * [taylor]: Taking taylor expansion of -1 in re 1.429 * [backup-simplify]: Simplify -1 into -1 1.429 * [taylor]: Taking taylor expansion of re in re 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (/ -1 1) into -1 1.430 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [taylor]: Taking taylor expansion of re in re 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (/ -1 1) into -1 1.430 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.430 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [taylor]: Taking taylor expansion of im in re 1.430 * [backup-simplify]: Simplify im into im 1.430 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.430 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [taylor]: Taking taylor expansion of im in re 1.430 * [backup-simplify]: Simplify im into im 1.430 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.431 * [backup-simplify]: Simplify (* -1 -1) into 1 1.431 * [backup-simplify]: Simplify (+ 1 0) into 1 1.431 * [backup-simplify]: Simplify (sqrt 1) into 1 1.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.433 * [taylor]: Taking taylor expansion of 1 in im 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [taylor]: Taking taylor expansion of 0 in im 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.435 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.435 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.436 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.436 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.436 * [taylor]: Taking taylor expansion of 1/2 in im 1.436 * [backup-simplify]: Simplify 1/2 into 1/2 1.436 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.436 * [taylor]: Taking taylor expansion of im in im 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (* 1 1) into 1 1.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.440 * [taylor]: Taking taylor expansion of 0 in im 1.440 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.441 * * * [progress]: simplifying candidates 1.443 * [simplify]: Simplifying: (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- re) (/ (exp (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp re)) (log (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (* (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (pow (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 3) (pow re 3)) (+ (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (* re re) (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (- re) (- (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re re)) (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.443 * [simplify]: Sending expressions to egg_math: (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (log1p (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- h0) (/ (exp (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (exp h0)) (log (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (exp (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (* (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- (pow (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) 3) (pow h0 3)) (+ (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (+ (* h0 h0) (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (- h0) (- (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (* h0 h0)) (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0) (- h0) (expm1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (log1p (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h0 h1) (hypot h0 h1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (hypot h0 h1) (hypot h0 h1)) (+ 1 1) (+ (log (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1)))) (log (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))) (* (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (hypot h0 h1) (hypot h0 h1)) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 1 1) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h0 h1)) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) 1) (* (cbrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 1.447 * * [simplify]: iteration 0 : 211 enodes (cost 391 ) 1.452 * * [simplify]: iteration 1 : 869 enodes (cost 298 ) 1.480 * * [simplify]: iteration 2 : 5001 enodes (cost 281 ) 1.483 * * * [progress]: adding candidates to table 1.702 * * [progress]: iteration 4 / 4 1.702 * * * [progress]: picking best candidate 1.718 * * * * [pick]: Picked # 1.718 * * * [progress]: localizing error 1.733 * * * [progress]: generating rewritten candidates 1.734 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.766 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.795 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 1 2) 1.841 * * * [progress]: generating series expansions 1.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.841 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) into (- (hypot re im) re) 1.841 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.841 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.841 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.841 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.841 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.841 * [taylor]: Taking taylor expansion of (* re re) in im 1.841 * [taylor]: Taking taylor expansion of re in im 1.841 * [backup-simplify]: Simplify re into re 1.841 * [taylor]: Taking taylor expansion of re in im 1.841 * [backup-simplify]: Simplify re into re 1.841 * [taylor]: Taking taylor expansion of (* im im) in im 1.841 * [taylor]: Taking taylor expansion of im in im 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [taylor]: Taking taylor expansion of im in im 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.842 * [backup-simplify]: Simplify (* 0 0) into 0 1.842 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.842 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.842 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.843 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.843 * [taylor]: Taking taylor expansion of re in im 1.843 * [backup-simplify]: Simplify re into re 1.843 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.843 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.843 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.843 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.843 * [taylor]: Taking taylor expansion of (* re re) in re 1.843 * [taylor]: Taking taylor expansion of re in re 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of re in re 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of (* im im) in re 1.843 * [taylor]: Taking taylor expansion of im in re 1.843 * [backup-simplify]: Simplify im into im 1.843 * [taylor]: Taking taylor expansion of im in re 1.843 * [backup-simplify]: Simplify im into im 1.844 * [backup-simplify]: Simplify (* 0 0) into 0 1.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.844 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.844 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.844 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.844 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.845 * [taylor]: Taking taylor expansion of re in re 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.845 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.845 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.845 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.845 * [taylor]: Taking taylor expansion of (* re re) in re 1.845 * [taylor]: Taking taylor expansion of re in re 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of re in re 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of (* im im) in re 1.845 * [taylor]: Taking taylor expansion of im in re 1.845 * [backup-simplify]: Simplify im into im 1.845 * [taylor]: Taking taylor expansion of im in re 1.845 * [backup-simplify]: Simplify im into im 1.845 * [backup-simplify]: Simplify (* 0 0) into 0 1.845 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.845 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.845 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.846 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.846 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.846 * [taylor]: Taking taylor expansion of re in re 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ im 0) into im 1.847 * [taylor]: Taking taylor expansion of im in im 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify (- 1) into -1 1.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.847 * [taylor]: Taking taylor expansion of -1 in im 1.847 * [backup-simplify]: Simplify -1 into -1 1.847 * [backup-simplify]: Simplify -1 into -1 1.847 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.848 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.849 * [backup-simplify]: Simplify (+ 1 0) into 1 1.849 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.849 * [backup-simplify]: Simplify (- 0) into 0 1.849 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.849 * [taylor]: Taking taylor expansion of 1/2 in im 1.849 * [backup-simplify]: Simplify 1/2 into 1/2 1.849 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.849 * [taylor]: Taking taylor expansion of im in im 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.852 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [taylor]: Taking taylor expansion of 0 in im 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.854 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.854 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.854 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.854 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.854 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.854 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.854 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.854 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.854 * [taylor]: Taking taylor expansion of re in im 1.854 * [backup-simplify]: Simplify re into re 1.855 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.855 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.855 * [taylor]: Taking taylor expansion of re in im 1.855 * [backup-simplify]: Simplify re into re 1.855 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.855 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.855 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [backup-simplify]: Simplify (* 1 1) into 1 1.856 * [backup-simplify]: Simplify (+ 0 1) into 1 1.856 * [backup-simplify]: Simplify (sqrt 1) into 1 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.858 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.858 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.858 * [taylor]: Taking taylor expansion of re in im 1.858 * [backup-simplify]: Simplify re into re 1.858 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.858 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.858 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.858 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.858 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.858 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.858 * [taylor]: Taking taylor expansion of re in re 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.859 * [taylor]: Taking taylor expansion of re in re 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.859 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.859 * [taylor]: Taking taylor expansion of im in re 1.859 * [backup-simplify]: Simplify im into im 1.859 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.859 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.859 * [taylor]: Taking taylor expansion of im in re 1.859 * [backup-simplify]: Simplify im into im 1.859 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.859 * [backup-simplify]: Simplify (* 1 1) into 1 1.860 * [backup-simplify]: Simplify (+ 1 0) into 1 1.860 * [backup-simplify]: Simplify (sqrt 1) into 1 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.862 * [taylor]: Taking taylor expansion of re in re 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.862 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.862 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.862 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.862 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.862 * [taylor]: Taking taylor expansion of re in re 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.863 * [taylor]: Taking taylor expansion of re in re 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (/ 1 1) into 1 1.863 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.863 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.863 * [taylor]: Taking taylor expansion of im in re 1.863 * [backup-simplify]: Simplify im into im 1.863 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.863 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.863 * [taylor]: Taking taylor expansion of im in re 1.863 * [backup-simplify]: Simplify im into im 1.863 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.863 * [backup-simplify]: Simplify (* 1 1) into 1 1.863 * [backup-simplify]: Simplify (+ 1 0) into 1 1.864 * [backup-simplify]: Simplify (sqrt 1) into 1 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.866 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.866 * [taylor]: Taking taylor expansion of re in re 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (/ 1 1) into 1 1.866 * [backup-simplify]: Simplify (- 1) into -1 1.866 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.866 * [taylor]: Taking taylor expansion of 0 in im 1.866 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (- 0) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [taylor]: Taking taylor expansion of 0 in im 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.869 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.869 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.870 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.871 * [taylor]: Taking taylor expansion of 1/2 in im 1.871 * [backup-simplify]: Simplify 1/2 into 1/2 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.871 * [taylor]: Taking taylor expansion of im in im 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.871 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [taylor]: Taking taylor expansion of 0 in im 1.876 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1.878 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.878 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.878 * [taylor]: Taking taylor expansion of re in im 1.878 * [backup-simplify]: Simplify re into re 1.878 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.878 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.878 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.878 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.878 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.878 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.878 * [taylor]: Taking taylor expansion of -1 in im 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * [taylor]: Taking taylor expansion of re in im 1.878 * [backup-simplify]: Simplify re into re 1.878 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.878 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.878 * [taylor]: Taking taylor expansion of -1 in im 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * [taylor]: Taking taylor expansion of re in im 1.878 * [backup-simplify]: Simplify re into re 1.878 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.878 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.879 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.879 * [taylor]: Taking taylor expansion of -1 in im 1.879 * [backup-simplify]: Simplify -1 into -1 1.879 * [taylor]: Taking taylor expansion of im in im 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ -1 1) into -1 1.879 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.879 * [taylor]: Taking taylor expansion of -1 in im 1.879 * [backup-simplify]: Simplify -1 into -1 1.879 * [taylor]: Taking taylor expansion of im in im 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ -1 1) into -1 1.879 * [backup-simplify]: Simplify (* -1 -1) into 1 1.880 * [backup-simplify]: Simplify (+ 0 1) into 1 1.880 * [backup-simplify]: Simplify (sqrt 1) into 1 1.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.882 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.882 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.882 * [taylor]: Taking taylor expansion of re in re 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.882 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.882 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.882 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.882 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.882 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.882 * [taylor]: Taking taylor expansion of -1 in re 1.882 * [backup-simplify]: Simplify -1 into -1 1.882 * [taylor]: Taking taylor expansion of re in re 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ -1 1) into -1 1.883 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.883 * [taylor]: Taking taylor expansion of -1 in re 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of re in re 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ -1 1) into -1 1.883 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.883 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.883 * [taylor]: Taking taylor expansion of -1 in re 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of im in re 1.883 * [backup-simplify]: Simplify im into im 1.883 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.883 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.883 * [taylor]: Taking taylor expansion of -1 in re 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of im in re 1.883 * [backup-simplify]: Simplify im into im 1.883 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.884 * [backup-simplify]: Simplify (* -1 -1) into 1 1.884 * [backup-simplify]: Simplify (+ 1 0) into 1 1.884 * [backup-simplify]: Simplify (sqrt 1) into 1 1.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.886 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.886 * [taylor]: Taking taylor expansion of re in re 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (/ 1 1) into 1 1.886 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.887 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.887 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.887 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.887 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.887 * [taylor]: Taking taylor expansion of -1 in re 1.887 * [backup-simplify]: Simplify -1 into -1 1.887 * [taylor]: Taking taylor expansion of re in re 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ -1 1) into -1 1.887 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.887 * [taylor]: Taking taylor expansion of -1 in re 1.887 * [backup-simplify]: Simplify -1 into -1 1.887 * [taylor]: Taking taylor expansion of re in re 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ -1 1) into -1 1.887 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.887 * [taylor]: Taking taylor expansion of -1 in re 1.887 * [backup-simplify]: Simplify -1 into -1 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [backup-simplify]: Simplify im into im 1.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.887 * [taylor]: Taking taylor expansion of -1 in re 1.887 * [backup-simplify]: Simplify -1 into -1 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [backup-simplify]: Simplify im into im 1.888 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.888 * [backup-simplify]: Simplify (* -1 -1) into 1 1.888 * [backup-simplify]: Simplify (+ 1 0) into 1 1.888 * [backup-simplify]: Simplify (sqrt 1) into 1 1.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.894 * [backup-simplify]: Simplify (+ 1 1) into 2 1.894 * [taylor]: Taking taylor expansion of 2 in im 1.894 * [backup-simplify]: Simplify 2 into 2 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (+ 0 0) into 0 1.894 * [taylor]: Taking taylor expansion of 0 in im 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 2 into 2 1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.897 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.897 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.898 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.898 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.898 * [taylor]: Taking taylor expansion of 1/2 in im 1.898 * [backup-simplify]: Simplify 1/2 into 1/2 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.898 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.898 * [taylor]: Taking taylor expansion of im in im 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (* 1 1) into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [taylor]: Taking taylor expansion of 0 in im 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.905 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1) 1.905 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) into (- (hypot re im) re) 1.905 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.905 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.905 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.906 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.906 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.906 * [taylor]: Taking taylor expansion of (* re re) in im 1.906 * [taylor]: Taking taylor expansion of re in im 1.906 * [backup-simplify]: Simplify re into re 1.906 * [taylor]: Taking taylor expansion of re in im 1.906 * [backup-simplify]: Simplify re into re 1.906 * [taylor]: Taking taylor expansion of (* im im) in im 1.906 * [taylor]: Taking taylor expansion of im in im 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of im in im 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.906 * [backup-simplify]: Simplify (* 0 0) into 0 1.906 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.906 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.906 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.907 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.907 * [taylor]: Taking taylor expansion of re in im 1.907 * [backup-simplify]: Simplify re into re 1.907 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.907 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.907 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.907 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.907 * [taylor]: Taking taylor expansion of (* re re) in re 1.907 * [taylor]: Taking taylor expansion of re in re 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of re in re 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of (* im im) in re 1.907 * [taylor]: Taking taylor expansion of im in re 1.907 * [backup-simplify]: Simplify im into im 1.907 * [taylor]: Taking taylor expansion of im in re 1.907 * [backup-simplify]: Simplify im into im 1.908 * [backup-simplify]: Simplify (* 0 0) into 0 1.908 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.908 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.908 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.908 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.909 * [taylor]: Taking taylor expansion of re in re 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.909 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.909 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.909 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.909 * [taylor]: Taking taylor expansion of (* re re) in re 1.909 * [taylor]: Taking taylor expansion of re in re 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [taylor]: Taking taylor expansion of re in re 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [taylor]: Taking taylor expansion of (* im im) in re 1.909 * [taylor]: Taking taylor expansion of im in re 1.909 * [backup-simplify]: Simplify im into im 1.909 * [taylor]: Taking taylor expansion of im in re 1.909 * [backup-simplify]: Simplify im into im 1.909 * [backup-simplify]: Simplify (* 0 0) into 0 1.909 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.909 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.909 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.910 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.910 * [taylor]: Taking taylor expansion of re in re 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ im 0) into im 1.911 * [taylor]: Taking taylor expansion of im in im 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (- 1) into -1 1.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.911 * [taylor]: Taking taylor expansion of -1 in im 1.911 * [backup-simplify]: Simplify -1 into -1 1.911 * [backup-simplify]: Simplify -1 into -1 1.911 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.912 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.912 * [backup-simplify]: Simplify (+ 1 0) into 1 1.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.913 * [taylor]: Taking taylor expansion of 1/2 in im 1.913 * [backup-simplify]: Simplify 1/2 into 1/2 1.913 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.913 * [taylor]: Taking taylor expansion of im in im 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [taylor]: Taking taylor expansion of 0 in im 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.918 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.918 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.918 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.918 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.918 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.918 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.918 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.918 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.918 * [taylor]: Taking taylor expansion of re in im 1.918 * [backup-simplify]: Simplify re into re 1.918 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.918 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.918 * [taylor]: Taking taylor expansion of re in im 1.918 * [backup-simplify]: Simplify re into re 1.918 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.918 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.918 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.918 * [taylor]: Taking taylor expansion of im in im 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.919 * [taylor]: Taking taylor expansion of im in im 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [backup-simplify]: Simplify (* 1 1) into 1 1.919 * [backup-simplify]: Simplify (+ 0 1) into 1 1.919 * [backup-simplify]: Simplify (sqrt 1) into 1 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.921 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.921 * [taylor]: Taking taylor expansion of re in im 1.921 * [backup-simplify]: Simplify re into re 1.921 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.921 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.922 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.922 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.922 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.922 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.922 * [taylor]: Taking taylor expansion of re in re 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (/ 1 1) into 1 1.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.922 * [taylor]: Taking taylor expansion of re in re 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (/ 1 1) into 1 1.922 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.922 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.922 * [taylor]: Taking taylor expansion of im in re 1.922 * [backup-simplify]: Simplify im into im 1.922 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.922 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.922 * [taylor]: Taking taylor expansion of im in re 1.922 * [backup-simplify]: Simplify im into im 1.922 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.923 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (+ 1 0) into 1 1.923 * [backup-simplify]: Simplify (sqrt 1) into 1 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.925 * [taylor]: Taking taylor expansion of re in re 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.925 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.925 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.925 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.925 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.926 * [taylor]: Taking taylor expansion of re in re 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ 1 1) into 1 1.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.926 * [taylor]: Taking taylor expansion of re in re 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ 1 1) into 1 1.926 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.926 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.926 * [taylor]: Taking taylor expansion of im in re 1.926 * [backup-simplify]: Simplify im into im 1.926 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.926 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.926 * [taylor]: Taking taylor expansion of im in re 1.926 * [backup-simplify]: Simplify im into im 1.926 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.927 * [backup-simplify]: Simplify (+ 1 0) into 1 1.927 * [backup-simplify]: Simplify (sqrt 1) into 1 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.929 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.929 * [taylor]: Taking taylor expansion of re in re 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [backup-simplify]: Simplify (- 1) into -1 1.930 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.930 * [taylor]: Taking taylor expansion of 0 in im 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [taylor]: Taking taylor expansion of 0 in im 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.932 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.932 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.933 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (- 0) into 0 1.934 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.934 * [taylor]: Taking taylor expansion of 1/2 in im 1.934 * [backup-simplify]: Simplify 1/2 into 1/2 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.934 * [taylor]: Taking taylor expansion of im in im 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [taylor]: Taking taylor expansion of 0 in im 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1.942 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.942 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.942 * [taylor]: Taking taylor expansion of re in im 1.942 * [backup-simplify]: Simplify re into re 1.942 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.942 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.942 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.942 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.942 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.942 * [taylor]: Taking taylor expansion of -1 in im 1.942 * [backup-simplify]: Simplify -1 into -1 1.942 * [taylor]: Taking taylor expansion of re in im 1.942 * [backup-simplify]: Simplify re into re 1.942 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.942 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.942 * [taylor]: Taking taylor expansion of -1 in im 1.942 * [backup-simplify]: Simplify -1 into -1 1.942 * [taylor]: Taking taylor expansion of re in im 1.942 * [backup-simplify]: Simplify re into re 1.942 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.942 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.942 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.942 * [taylor]: Taking taylor expansion of -1 in im 1.942 * [backup-simplify]: Simplify -1 into -1 1.942 * [taylor]: Taking taylor expansion of im in im 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ -1 1) into -1 1.942 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.943 * [taylor]: Taking taylor expansion of -1 in im 1.943 * [backup-simplify]: Simplify -1 into -1 1.943 * [taylor]: Taking taylor expansion of im in im 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ -1 1) into -1 1.943 * [backup-simplify]: Simplify (* -1 -1) into 1 1.943 * [backup-simplify]: Simplify (+ 0 1) into 1 1.944 * [backup-simplify]: Simplify (sqrt 1) into 1 1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.946 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.946 * [taylor]: Taking taylor expansion of re in re 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.946 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.946 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.946 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.946 * [taylor]: Taking taylor expansion of -1 in re 1.946 * [backup-simplify]: Simplify -1 into -1 1.946 * [taylor]: Taking taylor expansion of re in re 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (/ -1 1) into -1 1.946 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.946 * [taylor]: Taking taylor expansion of -1 in re 1.946 * [backup-simplify]: Simplify -1 into -1 1.946 * [taylor]: Taking taylor expansion of re in re 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ -1 1) into -1 1.947 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.947 * [taylor]: Taking taylor expansion of -1 in re 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of im in re 1.947 * [backup-simplify]: Simplify im into im 1.947 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.947 * [taylor]: Taking taylor expansion of -1 in re 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of im in re 1.947 * [backup-simplify]: Simplify im into im 1.947 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.947 * [backup-simplify]: Simplify (* -1 -1) into 1 1.947 * [backup-simplify]: Simplify (+ 1 0) into 1 1.948 * [backup-simplify]: Simplify (sqrt 1) into 1 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.950 * [taylor]: Taking taylor expansion of re in re 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.950 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.950 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.950 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.950 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.950 * [taylor]: Taking taylor expansion of -1 in re 1.950 * [backup-simplify]: Simplify -1 into -1 1.950 * [taylor]: Taking taylor expansion of re in re 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (/ -1 1) into -1 1.951 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.951 * [taylor]: Taking taylor expansion of -1 in re 1.951 * [backup-simplify]: Simplify -1 into -1 1.951 * [taylor]: Taking taylor expansion of re in re 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (/ -1 1) into -1 1.951 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.951 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.951 * [taylor]: Taking taylor expansion of -1 in re 1.951 * [backup-simplify]: Simplify -1 into -1 1.951 * [taylor]: Taking taylor expansion of im in re 1.951 * [backup-simplify]: Simplify im into im 1.951 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.951 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.951 * [taylor]: Taking taylor expansion of -1 in re 1.951 * [backup-simplify]: Simplify -1 into -1 1.951 * [taylor]: Taking taylor expansion of im in re 1.951 * [backup-simplify]: Simplify im into im 1.951 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.951 * [backup-simplify]: Simplify (* -1 -1) into 1 1.952 * [backup-simplify]: Simplify (+ 1 0) into 1 1.952 * [backup-simplify]: Simplify (sqrt 1) into 1 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.954 * [backup-simplify]: Simplify (+ 1 1) into 2 1.954 * [taylor]: Taking taylor expansion of 2 in im 1.954 * [backup-simplify]: Simplify 2 into 2 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [taylor]: Taking taylor expansion of 0 in im 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 2 into 2 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.957 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.957 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.958 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.958 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.958 * [taylor]: Taking taylor expansion of 1/2 in im 1.958 * [backup-simplify]: Simplify 1/2 into 1/2 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.958 * [taylor]: Taking taylor expansion of im in im 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.963 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.963 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [taylor]: Taking taylor expansion of 0 in im 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.965 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 1.966 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) into (- (hypot re im) re) 1.966 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.966 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.966 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.966 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.966 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.966 * [taylor]: Taking taylor expansion of (* re re) in im 1.966 * [taylor]: Taking taylor expansion of re in im 1.966 * [backup-simplify]: Simplify re into re 1.966 * [taylor]: Taking taylor expansion of re in im 1.966 * [backup-simplify]: Simplify re into re 1.966 * [taylor]: Taking taylor expansion of (* im im) in im 1.966 * [taylor]: Taking taylor expansion of im in im 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [taylor]: Taking taylor expansion of im in im 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.966 * [backup-simplify]: Simplify (* 0 0) into 0 1.966 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.966 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.966 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.967 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.967 * [taylor]: Taking taylor expansion of re in im 1.967 * [backup-simplify]: Simplify re into re 1.967 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.967 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.967 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.967 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.967 * [taylor]: Taking taylor expansion of (* re re) in re 1.967 * [taylor]: Taking taylor expansion of re in re 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [taylor]: Taking taylor expansion of re in re 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [taylor]: Taking taylor expansion of (* im im) in re 1.967 * [taylor]: Taking taylor expansion of im in re 1.967 * [backup-simplify]: Simplify im into im 1.967 * [taylor]: Taking taylor expansion of im in re 1.968 * [backup-simplify]: Simplify im into im 1.968 * [backup-simplify]: Simplify (* 0 0) into 0 1.968 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.968 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.968 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.968 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.968 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.969 * [taylor]: Taking taylor expansion of re in re 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.969 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.969 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.969 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.969 * [taylor]: Taking taylor expansion of (* re re) in re 1.969 * [taylor]: Taking taylor expansion of re in re 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [taylor]: Taking taylor expansion of re in re 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [taylor]: Taking taylor expansion of (* im im) in re 1.969 * [taylor]: Taking taylor expansion of im in re 1.969 * [backup-simplify]: Simplify im into im 1.969 * [taylor]: Taking taylor expansion of im in re 1.969 * [backup-simplify]: Simplify im into im 1.969 * [backup-simplify]: Simplify (* 0 0) into 0 1.969 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.969 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.970 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.970 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.970 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.970 * [taylor]: Taking taylor expansion of re in re 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (- 0) into 0 1.971 * [backup-simplify]: Simplify (+ im 0) into im 1.971 * [taylor]: Taking taylor expansion of im in im 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- 1) into -1 1.971 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.971 * [taylor]: Taking taylor expansion of -1 in im 1.971 * [backup-simplify]: Simplify -1 into -1 1.971 * [backup-simplify]: Simplify -1 into -1 1.971 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.972 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.972 * [backup-simplify]: Simplify (+ 1 0) into 1 1.973 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.973 * [taylor]: Taking taylor expansion of 1/2 in im 1.973 * [backup-simplify]: Simplify 1/2 into 1/2 1.973 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (/ 1 1) into 1 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [taylor]: Taking taylor expansion of 0 in im 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.978 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.978 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.978 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.978 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.978 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.978 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.978 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.978 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.978 * [taylor]: Taking taylor expansion of re in im 1.978 * [backup-simplify]: Simplify re into re 1.978 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.978 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.978 * [taylor]: Taking taylor expansion of re in im 1.978 * [backup-simplify]: Simplify re into re 1.978 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.978 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.978 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.978 * [taylor]: Taking taylor expansion of im in im 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.978 * [taylor]: Taking taylor expansion of im in im 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (+ 0 1) into 1 1.979 * [backup-simplify]: Simplify (sqrt 1) into 1 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.981 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.981 * [taylor]: Taking taylor expansion of re in im 1.981 * [backup-simplify]: Simplify re into re 1.981 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.981 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.981 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.982 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.982 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.982 * [taylor]: Taking taylor expansion of re in re 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.982 * [taylor]: Taking taylor expansion of re in re 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.982 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.982 * [taylor]: Taking taylor expansion of im in re 1.982 * [backup-simplify]: Simplify im into im 1.982 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.982 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.982 * [taylor]: Taking taylor expansion of im in re 1.982 * [backup-simplify]: Simplify im into im 1.982 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (+ 1 0) into 1 1.983 * [backup-simplify]: Simplify (sqrt 1) into 1 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.985 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.985 * [taylor]: Taking taylor expansion of re in re 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (/ 1 1) into 1 1.985 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.985 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.985 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.985 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.985 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.985 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.985 * [taylor]: Taking taylor expansion of re in re 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (/ 1 1) into 1 1.986 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.986 * [taylor]: Taking taylor expansion of re in re 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (/ 1 1) into 1 1.986 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.986 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.986 * [taylor]: Taking taylor expansion of im in re 1.986 * [backup-simplify]: Simplify im into im 1.986 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.986 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.986 * [taylor]: Taking taylor expansion of im in re 1.986 * [backup-simplify]: Simplify im into im 1.986 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.986 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (+ 1 0) into 1 1.987 * [backup-simplify]: Simplify (sqrt 1) into 1 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.991 * [taylor]: Taking taylor expansion of re in re 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [backup-simplify]: Simplify (- 1) into -1 1.992 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.992 * [taylor]: Taking taylor expansion of 0 in im 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [taylor]: Taking taylor expansion of 0 in im 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.995 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.995 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.996 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.997 * [taylor]: Taking taylor expansion of 1/2 in im 1.997 * [backup-simplify]: Simplify 1/2 into 1/2 1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.997 * [taylor]: Taking taylor expansion of im in im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.997 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [taylor]: Taking taylor expansion of 0 in im 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (- (* 1 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 2.004 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.004 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.004 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.004 * [taylor]: Taking taylor expansion of re in im 2.004 * [backup-simplify]: Simplify re into re 2.004 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.004 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.004 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.004 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.004 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.004 * [taylor]: Taking taylor expansion of -1 in im 2.004 * [backup-simplify]: Simplify -1 into -1 2.005 * [taylor]: Taking taylor expansion of re in im 2.005 * [backup-simplify]: Simplify re into re 2.005 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.005 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.005 * [taylor]: Taking taylor expansion of -1 in im 2.005 * [backup-simplify]: Simplify -1 into -1 2.005 * [taylor]: Taking taylor expansion of re in im 2.005 * [backup-simplify]: Simplify re into re 2.005 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.005 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.005 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.005 * [taylor]: Taking taylor expansion of -1 in im 2.005 * [backup-simplify]: Simplify -1 into -1 2.005 * [taylor]: Taking taylor expansion of im in im 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (/ -1 1) into -1 2.005 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.005 * [taylor]: Taking taylor expansion of -1 in im 2.005 * [backup-simplify]: Simplify -1 into -1 2.005 * [taylor]: Taking taylor expansion of im in im 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (/ -1 1) into -1 2.006 * [backup-simplify]: Simplify (* -1 -1) into 1 2.006 * [backup-simplify]: Simplify (+ 0 1) into 1 2.006 * [backup-simplify]: Simplify (sqrt 1) into 1 2.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.008 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.008 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.008 * [taylor]: Taking taylor expansion of re in re 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (/ 1 1) into 1 2.008 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.009 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.009 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.009 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.009 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.009 * [taylor]: Taking taylor expansion of -1 in re 2.009 * [backup-simplify]: Simplify -1 into -1 2.009 * [taylor]: Taking taylor expansion of re in re 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (/ -1 1) into -1 2.009 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.009 * [taylor]: Taking taylor expansion of -1 in re 2.009 * [backup-simplify]: Simplify -1 into -1 2.009 * [taylor]: Taking taylor expansion of re in re 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (/ -1 1) into -1 2.009 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.009 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.009 * [taylor]: Taking taylor expansion of -1 in re 2.009 * [backup-simplify]: Simplify -1 into -1 2.009 * [taylor]: Taking taylor expansion of im in re 2.009 * [backup-simplify]: Simplify im into im 2.009 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.009 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.009 * [taylor]: Taking taylor expansion of -1 in re 2.009 * [backup-simplify]: Simplify -1 into -1 2.009 * [taylor]: Taking taylor expansion of im in re 2.009 * [backup-simplify]: Simplify im into im 2.010 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.010 * [backup-simplify]: Simplify (* -1 -1) into 1 2.010 * [backup-simplify]: Simplify (+ 1 0) into 1 2.010 * [backup-simplify]: Simplify (sqrt 1) into 1 2.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.012 * [taylor]: Taking taylor expansion of re in re 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.013 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.013 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.013 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.013 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.013 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.013 * [taylor]: Taking taylor expansion of -1 in re 2.013 * [backup-simplify]: Simplify -1 into -1 2.013 * [taylor]: Taking taylor expansion of re in re 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (/ -1 1) into -1 2.013 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.013 * [taylor]: Taking taylor expansion of -1 in re 2.013 * [backup-simplify]: Simplify -1 into -1 2.013 * [taylor]: Taking taylor expansion of re in re 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (/ -1 1) into -1 2.013 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.013 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.013 * [taylor]: Taking taylor expansion of -1 in re 2.013 * [backup-simplify]: Simplify -1 into -1 2.013 * [taylor]: Taking taylor expansion of im in re 2.013 * [backup-simplify]: Simplify im into im 2.014 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.014 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.014 * [taylor]: Taking taylor expansion of -1 in re 2.014 * [backup-simplify]: Simplify -1 into -1 2.014 * [taylor]: Taking taylor expansion of im in re 2.014 * [backup-simplify]: Simplify im into im 2.014 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.014 * [backup-simplify]: Simplify (* -1 -1) into 1 2.014 * [backup-simplify]: Simplify (+ 1 0) into 1 2.014 * [backup-simplify]: Simplify (sqrt 1) into 1 2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.017 * [backup-simplify]: Simplify (+ 1 1) into 2 2.017 * [taylor]: Taking taylor expansion of 2 in im 2.017 * [backup-simplify]: Simplify 2 into 2 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [taylor]: Taking taylor expansion of 0 in im 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 2 into 2 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.020 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.020 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.021 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.021 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.021 * [taylor]: Taking taylor expansion of 1/2 in im 2.021 * [backup-simplify]: Simplify 1/2 into 1/2 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.021 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.021 * [taylor]: Taking taylor expansion of im in im 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (/ 1 1) into 1 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.025 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.025 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.025 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [taylor]: Taking taylor expansion of 0 in im 2.026 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.028 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 1 2) 2.028 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 2.028 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.028 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.028 * [taylor]: Taking taylor expansion of (* re re) in im 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [backup-simplify]: Simplify re into re 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [backup-simplify]: Simplify re into re 2.029 * [taylor]: Taking taylor expansion of (* im im) in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [taylor]: Taking taylor expansion of im in im 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.029 * [backup-simplify]: Simplify (* 0 0) into 0 2.029 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.029 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.029 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.030 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.030 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.030 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.030 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.030 * [taylor]: Taking taylor expansion of (* re re) in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of (* im im) in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [backup-simplify]: Simplify im into im 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [backup-simplify]: Simplify im into im 2.030 * [backup-simplify]: Simplify (* 0 0) into 0 2.030 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.031 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.031 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.031 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.031 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.031 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.031 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.032 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.032 * [taylor]: Taking taylor expansion of (* re re) in re 2.032 * [taylor]: Taking taylor expansion of re in re 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [taylor]: Taking taylor expansion of re in re 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [taylor]: Taking taylor expansion of (* im im) in re 2.032 * [taylor]: Taking taylor expansion of im in re 2.032 * [backup-simplify]: Simplify im into im 2.032 * [taylor]: Taking taylor expansion of im in re 2.032 * [backup-simplify]: Simplify im into im 2.032 * [backup-simplify]: Simplify (* 0 0) into 0 2.032 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.032 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.032 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.033 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.033 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.033 * [taylor]: Taking taylor expansion of im in im 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [taylor]: Taking taylor expansion of 0 in im 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.034 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.034 * [backup-simplify]: Simplify (+ 1 0) into 1 2.035 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.035 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.035 * [taylor]: Taking taylor expansion of 1/2 in im 2.035 * [backup-simplify]: Simplify 1/2 into 1/2 2.035 * [taylor]: Taking taylor expansion of im in im 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.037 * [taylor]: Taking taylor expansion of 0 in im 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.038 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 2.038 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.038 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.038 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.038 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.038 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.038 * [taylor]: Taking taylor expansion of re in im 2.038 * [backup-simplify]: Simplify re into re 2.038 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.038 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.038 * [taylor]: Taking taylor expansion of re in im 2.038 * [backup-simplify]: Simplify re into re 2.038 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.038 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.038 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.038 * [taylor]: Taking taylor expansion of im in im 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (/ 1 1) into 1 2.038 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.038 * [taylor]: Taking taylor expansion of im in im 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [backup-simplify]: Simplify (* 1 1) into 1 2.039 * [backup-simplify]: Simplify (+ 0 1) into 1 2.039 * [backup-simplify]: Simplify (sqrt 1) into 1 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.041 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.041 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.041 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.041 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.041 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.041 * [taylor]: Taking taylor expansion of re in re 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (/ 1 1) into 1 2.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.042 * [taylor]: Taking taylor expansion of re in re 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (/ 1 1) into 1 2.042 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.042 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.042 * [taylor]: Taking taylor expansion of im in re 2.042 * [backup-simplify]: Simplify im into im 2.042 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.042 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.042 * [taylor]: Taking taylor expansion of im in re 2.042 * [backup-simplify]: Simplify im into im 2.042 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.042 * [backup-simplify]: Simplify (* 1 1) into 1 2.043 * [backup-simplify]: Simplify (+ 1 0) into 1 2.043 * [backup-simplify]: Simplify (sqrt 1) into 1 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.045 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.045 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.045 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.045 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.045 * [taylor]: Taking taylor expansion of re in re 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.045 * [taylor]: Taking taylor expansion of re in re 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (/ 1 1) into 1 2.046 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.046 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.046 * [taylor]: Taking taylor expansion of im in re 2.046 * [backup-simplify]: Simplify im into im 2.046 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.046 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.046 * [taylor]: Taking taylor expansion of im in re 2.046 * [backup-simplify]: Simplify im into im 2.046 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.046 * [backup-simplify]: Simplify (* 1 1) into 1 2.046 * [backup-simplify]: Simplify (+ 1 0) into 1 2.046 * [backup-simplify]: Simplify (sqrt 1) into 1 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.048 * [taylor]: Taking taylor expansion of 1 in im 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [taylor]: Taking taylor expansion of 0 in im 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.051 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.051 * [taylor]: Taking taylor expansion of 1/2 in im 2.051 * [backup-simplify]: Simplify 1/2 into 1/2 2.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.051 * [taylor]: Taking taylor expansion of im in im 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.055 * [taylor]: Taking taylor expansion of 0 in im 2.055 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.057 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 2.057 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.057 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.057 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.057 * [taylor]: Taking taylor expansion of -1 in im 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of re in im 2.057 * [backup-simplify]: Simplify re into re 2.057 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.057 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.057 * [taylor]: Taking taylor expansion of -1 in im 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of re in im 2.057 * [backup-simplify]: Simplify re into re 2.057 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.057 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.057 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.057 * [taylor]: Taking taylor expansion of -1 in im 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of im in im 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (/ -1 1) into -1 2.058 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.058 * [taylor]: Taking taylor expansion of -1 in im 2.058 * [backup-simplify]: Simplify -1 into -1 2.058 * [taylor]: Taking taylor expansion of im in im 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (/ -1 1) into -1 2.058 * [backup-simplify]: Simplify (* -1 -1) into 1 2.058 * [backup-simplify]: Simplify (+ 0 1) into 1 2.059 * [backup-simplify]: Simplify (sqrt 1) into 1 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.061 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.061 * [taylor]: Taking taylor expansion of -1 in re 2.061 * [backup-simplify]: Simplify -1 into -1 2.061 * [taylor]: Taking taylor expansion of re in re 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (/ -1 1) into -1 2.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.061 * [taylor]: Taking taylor expansion of -1 in re 2.061 * [backup-simplify]: Simplify -1 into -1 2.061 * [taylor]: Taking taylor expansion of re in re 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (/ -1 1) into -1 2.062 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.062 * [taylor]: Taking taylor expansion of -1 in re 2.062 * [backup-simplify]: Simplify -1 into -1 2.062 * [taylor]: Taking taylor expansion of im in re 2.062 * [backup-simplify]: Simplify im into im 2.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.062 * [taylor]: Taking taylor expansion of -1 in re 2.062 * [backup-simplify]: Simplify -1 into -1 2.062 * [taylor]: Taking taylor expansion of im in re 2.062 * [backup-simplify]: Simplify im into im 2.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.062 * [backup-simplify]: Simplify (* -1 -1) into 1 2.062 * [backup-simplify]: Simplify (+ 1 0) into 1 2.063 * [backup-simplify]: Simplify (sqrt 1) into 1 2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.064 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.065 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.065 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.065 * [taylor]: Taking taylor expansion of -1 in re 2.065 * [backup-simplify]: Simplify -1 into -1 2.065 * [taylor]: Taking taylor expansion of re in re 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (/ -1 1) into -1 2.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.065 * [taylor]: Taking taylor expansion of -1 in re 2.065 * [backup-simplify]: Simplify -1 into -1 2.065 * [taylor]: Taking taylor expansion of re in re 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (/ -1 1) into -1 2.066 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.066 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.066 * [taylor]: Taking taylor expansion of -1 in re 2.066 * [backup-simplify]: Simplify -1 into -1 2.066 * [taylor]: Taking taylor expansion of im in re 2.066 * [backup-simplify]: Simplify im into im 2.066 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.066 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.066 * [taylor]: Taking taylor expansion of -1 in re 2.066 * [backup-simplify]: Simplify -1 into -1 2.066 * [taylor]: Taking taylor expansion of im in re 2.066 * [backup-simplify]: Simplify im into im 2.066 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.066 * [backup-simplify]: Simplify (* -1 -1) into 1 2.066 * [backup-simplify]: Simplify (+ 1 0) into 1 2.067 * [backup-simplify]: Simplify (sqrt 1) into 1 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.069 * [taylor]: Taking taylor expansion of 1 in im 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [taylor]: Taking taylor expansion of 0 in im 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.071 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.071 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.072 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.072 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.072 * [taylor]: Taking taylor expansion of 1/2 in im 2.072 * [backup-simplify]: Simplify 1/2 into 1/2 2.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.072 * [taylor]: Taking taylor expansion of im in im 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (* 1 1) into 1 2.072 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.076 * [taylor]: Taking taylor expansion of 0 in im 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.077 * * * [progress]: simplifying candidates 2.079 * [simplify]: Simplifying: (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- re) (/ (exp (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp re)) (log (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (* (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (pow (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 3) (pow re 3)) (+ (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (* re re) (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (- re) (- (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re re)) (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- re) (/ (exp (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp re)) (log (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (* (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (pow (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 3) (pow re 3)) (+ (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (* re re) (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (- re) (- (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re re)) (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- re) (/ (exp (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp re)) (log (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (* (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (- (pow (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 3) (pow re 3)) (+ (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (* re re) (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (- re) (- (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re re)) (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) im re (* -1 re) 2.080 * [simplify]: Sending expressions to egg_math: (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (log1p (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- h0) (/ (exp (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (exp h0)) (log (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (exp (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (* (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- (pow (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) 3) (pow h0 3)) (+ (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (+ (* h0 h0) (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (- h0) (- (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (* h0 h0)) (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0) (- h0) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (log1p (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- h0) (/ (exp (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (exp h0)) (log (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (exp (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (* (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- (pow (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) 3) (pow h0 3)) (+ (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (+ (* h0 h0) (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (- h0) (- (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (* h0 h0)) (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0) (- h0) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (log1p (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- h0) (/ (exp (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (exp h0)) (log (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (exp (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (cbrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (* (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (- (pow (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) 3) (pow h0 3)) (+ (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (+ (* h0 h0) (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (- h0) (- (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (* h0 h0)) (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0) (- h0) (expm1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (log1p (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h0 h1) (hypot h0 h1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (hypot h0 h1) (hypot h0 h1)) (+ 1 1) (+ (log (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1)))) (log (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))) (* (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (hypot h0 h1) (hypot h0 h1)) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 1 1) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h0 h1)) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) 1) (* (cbrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (- h1 h0) 0 (* -2 h0) (- h1 h0) 0 (* -2 h0) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) 2.084 * * [simplify]: iteration 0 : 201 enodes (cost 697 ) 2.089 * * [simplify]: iteration 1 : 856 enodes (cost 482 ) 2.119 * * [simplify]: iteration 2 : 5001 enodes (cost 445 ) 2.125 * * * [progress]: adding candidates to table 2.469 * [progress]: [Phase 3 of 3] Extracting. 2.469 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.473 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.473 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.524 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.565 * * * [regime]: Found split indices: #