2.611 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [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 ) 0.035 * * [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 ) 0.039 * * [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) 0.106 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.159 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.159 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.159 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.159 * [taylor]: Taking taylor expansion of re in im 0.159 * [backup-simplify]: Simplify re into re 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.159 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.160 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.160 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.160 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.160 * [taylor]: Taking taylor expansion of im in re 0.160 * [backup-simplify]: Simplify im into im 0.160 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.160 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.160 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.161 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [backup-simplify]: Simplify im into im 0.161 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.161 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.161 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.161 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.161 * [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 im in im 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.163 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.163 * [taylor]: Taking taylor expansion of 1/2 in im 0.163 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.164 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.165 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* im 1)) into im 0.166 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.167 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.167 * [taylor]: Taking taylor expansion of re in im 0.167 * [backup-simplify]: Simplify re into re 0.167 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.167 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (sqrt 1) into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.169 * [taylor]: Taking taylor expansion of im in re 0.169 * [backup-simplify]: Simplify im into im 0.169 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.169 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (+ 0 1) into 1 0.170 * [backup-simplify]: Simplify (sqrt 1) into 1 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [taylor]: Taking taylor expansion of im in re 0.172 * [backup-simplify]: Simplify im into im 0.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.172 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (+ 0 1) into 1 0.173 * [backup-simplify]: Simplify (sqrt 1) into 1 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [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 1 in im 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.176 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.176 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.176 * [taylor]: Taking taylor expansion of 1/2 in im 0.176 * [backup-simplify]: Simplify 1/2 into 1/2 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.176 * [taylor]: Taking taylor expansion of im in im 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.181 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.181 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.181 * [taylor]: Taking taylor expansion of im in im 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.182 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.182 * [taylor]: Taking taylor expansion of re in im 0.182 * [backup-simplify]: Simplify re into re 0.182 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.182 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.182 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (sqrt 1) into 1 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.184 * [taylor]: Taking taylor expansion of im in re 0.184 * [backup-simplify]: Simplify im into im 0.184 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (+ 0 1) into 1 0.185 * [backup-simplify]: Simplify (sqrt 1) into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [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 1 in im 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of 0 in im 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.191 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.191 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.191 * [taylor]: Taking taylor expansion of 1/2 in im 0.191 * [backup-simplify]: Simplify 1/2 into 1/2 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in im 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.195 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.195 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.195 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.195 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.195 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.195 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.195 * [taylor]: Taking taylor expansion of re in im 0.195 * [backup-simplify]: Simplify re into re 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.195 * [taylor]: Taking taylor expansion of im in im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.196 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.196 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.196 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.196 * [taylor]: Taking taylor expansion of re in im 0.196 * [backup-simplify]: Simplify re into re 0.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.196 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.196 * [taylor]: Taking taylor expansion of im in re 0.196 * [backup-simplify]: Simplify im into im 0.196 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.196 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.197 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.197 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.197 * [taylor]: Taking taylor expansion of re in re 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.197 * [taylor]: Taking taylor expansion of re in re 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.197 * [taylor]: Taking taylor expansion of im in re 0.197 * [backup-simplify]: Simplify im into im 0.197 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.197 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.197 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.197 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ im 0) into im 0.198 * [taylor]: Taking taylor expansion of im in im 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (- 1) into -1 0.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.199 * [taylor]: Taking taylor expansion of -1 in im 0.199 * [backup-simplify]: Simplify -1 into -1 0.199 * [backup-simplify]: Simplify -1 into -1 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.200 * [taylor]: Taking taylor expansion of 1/2 in im 0.200 * [backup-simplify]: Simplify 1/2 into 1/2 0.200 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.200 * [taylor]: Taking taylor expansion of im in im 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in im 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.204 * [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)) 0.204 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.204 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.204 * [taylor]: Taking taylor expansion of (pow im 2) 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 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.205 * [taylor]: Taking taylor expansion of re in im 0.205 * [backup-simplify]: Simplify re into re 0.205 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.205 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (sqrt 1) into 1 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.207 * [taylor]: Taking taylor expansion of re in im 0.207 * [backup-simplify]: Simplify re into re 0.207 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.207 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [backup-simplify]: Simplify im into im 0.207 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.207 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (+ 0 1) into 1 0.208 * [backup-simplify]: Simplify (sqrt 1) into 1 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [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 re 0.210 * [taylor]: Taking taylor expansion of re in re 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.210 * [taylor]: Taking taylor expansion of im in re 0.210 * [backup-simplify]: Simplify im into im 0.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.210 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [backup-simplify]: Simplify (+ 0 1) into 1 0.211 * [backup-simplify]: Simplify (sqrt 1) into 1 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.213 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.213 * [taylor]: Taking taylor expansion of re in re 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [backup-simplify]: Simplify (- 1) into -1 0.213 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in im 0.213 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [taylor]: Taking taylor expansion of 0 in im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.217 * [taylor]: Taking taylor expansion of 1/2 in im 0.217 * [backup-simplify]: Simplify 1/2 into 1/2 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.217 * [taylor]: Taking taylor expansion of im in im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [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 (+ (* 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.224 * [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))))) 0.224 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.224 * [taylor]: Taking taylor expansion of re in im 0.224 * [backup-simplify]: Simplify re into re 0.224 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 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 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.224 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.224 * [taylor]: Taking taylor expansion of re in im 0.224 * [backup-simplify]: Simplify re into re 0.224 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.224 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (sqrt 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 (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.226 * [taylor]: Taking taylor expansion of re in re 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.227 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.227 * [taylor]: Taking taylor expansion of im in re 0.227 * [backup-simplify]: Simplify im into im 0.227 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.227 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.227 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.227 * [taylor]: Taking taylor expansion of re in re 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (+ 0 1) into 1 0.228 * [backup-simplify]: Simplify (sqrt 1) into 1 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.229 * [taylor]: Taking taylor expansion of re in re 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.230 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.230 * [taylor]: Taking taylor expansion of im in re 0.230 * [backup-simplify]: Simplify im into im 0.230 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.230 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.230 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.230 * [taylor]: Taking taylor expansion of re in re 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify (+ 0 1) into 1 0.231 * [backup-simplify]: Simplify (sqrt 1) into 1 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.232 * [backup-simplify]: Simplify (+ 1 1) into 2 0.232 * [taylor]: Taking taylor expansion of 2 in im 0.232 * [backup-simplify]: Simplify 2 into 2 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [taylor]: Taking taylor expansion of 0 in im 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 2 into 2 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.236 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.236 * [taylor]: Taking taylor expansion of 1/2 in im 0.236 * [backup-simplify]: Simplify 1/2 into 1/2 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (* 1 1) into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [taylor]: Taking taylor expansion of 0 in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.244 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.245 * [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))) 0.245 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.245 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.245 * [taylor]: Taking taylor expansion of 2.0 in im 0.245 * [backup-simplify]: Simplify 2.0 into 2.0 0.245 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.246 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.246 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.246 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.246 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.246 * [taylor]: Taking taylor expansion of re in im 0.246 * [backup-simplify]: Simplify re into re 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.246 * [taylor]: Taking taylor expansion of im in im 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.246 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.246 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.246 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.246 * [taylor]: Taking taylor expansion of re in im 0.246 * [backup-simplify]: Simplify re into re 0.246 * [backup-simplify]: Simplify (- re) into (- re) 0.246 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (+ 0 1) into 1 0.248 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.248 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.249 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.250 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.250 * [taylor]: Taking taylor expansion of 2.0 in re 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 re 0.251 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.251 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.251 * [taylor]: Taking taylor expansion of re in re 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.251 * [taylor]: Taking taylor expansion of im in re 0.251 * [backup-simplify]: Simplify im into im 0.251 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.251 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.251 * [taylor]: Taking taylor expansion of re in re 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ im 0) into im 0.252 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.252 * [backup-simplify]: Simplify (- 1) into -1 0.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.252 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.252 * [taylor]: Taking taylor expansion of 2.0 in re 0.252 * [backup-simplify]: Simplify 2.0 into 2.0 0.253 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.253 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.253 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.253 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.253 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.253 * [taylor]: Taking taylor expansion of re in re 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.253 * [taylor]: Taking taylor expansion of im in re 0.253 * [backup-simplify]: Simplify im into im 0.253 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.253 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.253 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.254 * [taylor]: Taking taylor expansion of re in re 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ im 0) into im 0.254 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.254 * [backup-simplify]: Simplify (- 1) into -1 0.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.255 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.255 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.255 * [taylor]: Taking taylor expansion of 2.0 in im 0.255 * [backup-simplify]: Simplify 2.0 into 2.0 0.255 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.256 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (sqrt 0) into 0 0.257 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.258 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.259 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.259 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.259 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.259 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.259 * [taylor]: Taking taylor expansion of 1/2 in im 0.259 * [backup-simplify]: Simplify 1/2 into 1/2 0.259 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.259 * [taylor]: Taking taylor expansion of 2.0 in im 0.259 * [backup-simplify]: Simplify 2.0 into 2.0 0.260 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.260 * [taylor]: Taking taylor expansion of im in im 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (sqrt 0) into 0 0.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.264 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.265 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.267 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.267 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.271 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.271 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.273 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.275 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.276 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.279 * [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)))))))) 0.279 * [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)))) 0.279 * [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 0.279 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.280 * [taylor]: Taking taylor expansion of 2.0 in im 0.280 * [backup-simplify]: Simplify 2.0 into 2.0 0.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.280 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.280 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.281 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.281 * [taylor]: Taking taylor expansion of re in im 0.281 * [backup-simplify]: Simplify re into re 0.281 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.281 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (sqrt 1) into 1 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.283 * [taylor]: Taking taylor expansion of re in im 0.283 * [backup-simplify]: Simplify re into re 0.283 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (sqrt 0) into 0 0.284 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.284 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.284 * [taylor]: Taking taylor expansion of 2.0 in re 0.284 * [backup-simplify]: Simplify 2.0 into 2.0 0.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.285 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.285 * [taylor]: Taking taylor expansion of im in re 0.285 * [backup-simplify]: Simplify im into im 0.285 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify (+ 0 1) into 1 0.286 * [backup-simplify]: Simplify (sqrt 1) into 1 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (- 1) into -1 0.288 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.291 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.292 * [backup-simplify]: Simplify (sqrt 0) into 0 0.292 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 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) 0.293 * [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 0.294 * [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 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.296 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.296 * [taylor]: Taking taylor expansion of re in re 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [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 0.297 * [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 0.298 * [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)) 0.301 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.301 * [taylor]: Taking taylor expansion of 0 in im 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.301 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.301 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.301 * [taylor]: Taking taylor expansion of +nan.0 in im 0.301 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.301 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.302 * [taylor]: Taking taylor expansion of 2.0 in im 0.302 * [backup-simplify]: Simplify 2.0 into 2.0 0.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.302 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.302 * [taylor]: Taking taylor expansion of im in im 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.309 * [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)))) 0.309 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.309 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.309 * [taylor]: Taking taylor expansion of +nan.0 in im 0.309 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.309 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.309 * [taylor]: Taking taylor expansion of 2.0 in im 0.309 * [backup-simplify]: Simplify 2.0 into 2.0 0.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.310 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.310 * [taylor]: Taking taylor expansion of im in im 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.324 * [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)))))) 0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.326 * [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)))))) 0.326 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.326 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.326 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.326 * [taylor]: Taking taylor expansion of +nan.0 in im 0.326 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.326 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.326 * [taylor]: Taking taylor expansion of 2.0 in im 0.326 * [backup-simplify]: Simplify 2.0 into 2.0 0.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.327 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.327 * [taylor]: Taking taylor expansion of im in im 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.331 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.331 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.331 * [taylor]: Taking taylor expansion of +nan.0 in im 0.331 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.331 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.331 * [taylor]: Taking taylor expansion of 2.0 in im 0.331 * [backup-simplify]: Simplify 2.0 into 2.0 0.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.332 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.332 * [taylor]: Taking taylor expansion of im in im 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.333 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [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))))))) 0.354 * [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 0.354 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.354 * [taylor]: Taking taylor expansion of 2.0 in im 0.354 * [backup-simplify]: Simplify 2.0 into 2.0 0.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.355 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.355 * [taylor]: Taking taylor expansion of re in im 0.355 * [backup-simplify]: Simplify re into re 0.355 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.355 * [taylor]: Taking taylor expansion of im in im 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.356 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.356 * [taylor]: Taking taylor expansion of re in im 0.356 * [backup-simplify]: Simplify re into re 0.356 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.356 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.356 * [backup-simplify]: Simplify (+ 1 0) into 1 0.356 * [backup-simplify]: Simplify (sqrt 1) into 1 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 1) into 1 0.358 * [backup-simplify]: Simplify (sqrt 0) into 0 0.359 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.359 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.359 * [taylor]: Taking taylor expansion of 2.0 in re 0.359 * [backup-simplify]: Simplify 2.0 into 2.0 0.359 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.360 * [backup-simplify]: Simplify im into im 0.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (+ 0 1) into 1 0.361 * [backup-simplify]: Simplify (sqrt 1) into 1 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.363 * [backup-simplify]: Simplify (+ 1 1) into 2 0.363 * [backup-simplify]: Simplify (sqrt 0) into 0 0.364 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.364 * [taylor]: Taking taylor expansion of 2.0 in re 0.364 * [backup-simplify]: Simplify 2.0 into 2.0 0.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.365 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.365 * [taylor]: Taking taylor expansion of re in re 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.365 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.365 * [taylor]: Taking taylor expansion of im in re 0.365 * [backup-simplify]: Simplify im into im 0.365 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.365 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.365 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.365 * [taylor]: Taking taylor expansion of re in re 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [backup-simplify]: Simplify (+ 0 1) into 1 0.366 * [backup-simplify]: Simplify (sqrt 1) into 1 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.368 * [backup-simplify]: Simplify (+ 1 1) into 2 0.368 * [backup-simplify]: Simplify (sqrt 0) into 0 0.369 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.369 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.369 * [taylor]: Taking taylor expansion of 0 in im 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.371 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.371 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.371 * [taylor]: Taking taylor expansion of +nan.0 in im 0.371 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.371 * [taylor]: Taking taylor expansion of 2.0 in im 0.371 * [backup-simplify]: Simplify 2.0 into 2.0 0.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.375 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.375 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.376 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.376 * [taylor]: Taking taylor expansion of +nan.0 in im 0.376 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.376 * [taylor]: Taking taylor expansion of 2.0 in im 0.376 * [backup-simplify]: Simplify 2.0 into 2.0 0.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.377 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.378 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.378 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.381 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.381 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.382 * [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)) 0.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.383 * [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))))) 0.384 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.384 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.384 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.384 * [taylor]: Taking taylor expansion of +nan.0 in im 0.384 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.384 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.384 * [taylor]: Taking taylor expansion of 2.0 in im 0.384 * [backup-simplify]: Simplify 2.0 into 2.0 0.384 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.385 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.385 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.385 * [taylor]: Taking taylor expansion of +nan.0 in im 0.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.385 * [taylor]: Taking taylor expansion of 2.0 in im 0.385 * [backup-simplify]: Simplify 2.0 into 2.0 0.385 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 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))) 0.390 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [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))) 0.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.396 * [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))))) 0.396 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.396 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.396 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.396 * [taylor]: Taking taylor expansion of +nan.0 in im 0.396 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.396 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.396 * [taylor]: Taking taylor expansion of 2.0 in im 0.396 * [backup-simplify]: Simplify 2.0 into 2.0 0.396 * [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 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.397 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.397 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.397 * [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 0.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.403 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.404 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.405 * [backup-simplify]: Simplify (+ 0 (- (* +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 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.410 * [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))))))) 0.410 * * * [progress]: simplifying candidates 0.411 * [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))))))) 0.411 * [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))))))) 0.418 * * [simplify]: iteration 0 : 314 enodes (cost 760 ) 0.424 * * [simplify]: iteration 1 : 1192 enodes (cost 522 ) 0.450 * * [simplify]: iteration 2 : 5001 enodes (cost 473 ) 0.453 * * * [progress]: adding candidates to table 0.625 * * [progress]: iteration 2 / 4 0.625 * * * [progress]: picking best candidate 0.635 * * * * [pick]: Picked # 0.635 * * * [progress]: localizing error 0.643 * * * [progress]: generating rewritten candidates 0.643 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.650 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.670 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.671 * * * [progress]: generating series expansions 0.671 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.671 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re) 0.671 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.671 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.671 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.671 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.671 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.671 * [taylor]: Taking taylor expansion of (* re re) in im 0.672 * [taylor]: Taking taylor expansion of re in im 0.672 * [backup-simplify]: Simplify re into re 0.672 * [taylor]: Taking taylor expansion of re in im 0.672 * [backup-simplify]: Simplify re into re 0.672 * [taylor]: Taking taylor expansion of (* im im) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.672 * [backup-simplify]: Simplify (* 0 0) into 0 0.672 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.672 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.672 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.673 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.673 * [taylor]: Taking taylor expansion of re in im 0.673 * [backup-simplify]: Simplify re into re 0.673 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.673 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.673 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.673 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.673 * [taylor]: Taking taylor expansion of (* re re) in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [taylor]: Taking taylor expansion of re in re 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [taylor]: Taking taylor expansion of (* im im) in re 0.673 * [taylor]: Taking taylor expansion of im in re 0.673 * [backup-simplify]: Simplify im into im 0.673 * [taylor]: Taking taylor expansion of im in re 0.673 * [backup-simplify]: Simplify im into im 0.674 * [backup-simplify]: Simplify (* 0 0) into 0 0.674 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.674 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.674 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.674 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.675 * [taylor]: Taking taylor expansion of re in re 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.675 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.675 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.675 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.675 * [taylor]: Taking taylor expansion of (* re re) in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of re in re 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of (* im im) in re 0.675 * [taylor]: Taking taylor expansion of im in re 0.675 * [backup-simplify]: Simplify im into im 0.675 * [taylor]: Taking taylor expansion of im in re 0.675 * [backup-simplify]: Simplify im into im 0.675 * [backup-simplify]: Simplify (* 0 0) into 0 0.675 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.675 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.675 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.676 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.676 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.676 * [taylor]: Taking taylor expansion of re in re 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [backup-simplify]: Simplify (+ im 0) into im 0.676 * [taylor]: Taking taylor expansion of im in im 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify (- 1) into -1 0.677 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.677 * [taylor]: Taking taylor expansion of -1 in im 0.677 * [backup-simplify]: Simplify -1 into -1 0.677 * [backup-simplify]: Simplify -1 into -1 0.677 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.678 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.678 * [backup-simplify]: Simplify (+ 1 0) into 1 0.679 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.679 * [taylor]: Taking taylor expansion of 1/2 in im 0.679 * [backup-simplify]: Simplify 1/2 into 1/2 0.679 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.679 * [taylor]: Taking taylor expansion of im in im 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (/ 1 1) into 1 0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.681 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.681 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [taylor]: Taking taylor expansion of 0 in im 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.686 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.686 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.686 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.686 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.686 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.686 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.686 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.686 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.686 * [taylor]: Taking taylor expansion of re in im 0.686 * [backup-simplify]: Simplify re into re 0.686 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.686 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.686 * [taylor]: Taking taylor expansion of re in im 0.686 * [backup-simplify]: Simplify re into re 0.686 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.686 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.686 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [backup-simplify]: Simplify (* 1 1) into 1 0.687 * [backup-simplify]: Simplify (+ 0 1) into 1 0.687 * [backup-simplify]: Simplify (sqrt 1) into 1 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.689 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.689 * [taylor]: Taking taylor expansion of re in im 0.689 * [backup-simplify]: Simplify re into re 0.689 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.689 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.689 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.689 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.689 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.689 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.689 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.690 * [backup-simplify]: Simplify im into im 0.690 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.690 * [backup-simplify]: Simplify im into im 0.690 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.690 * [backup-simplify]: Simplify (* 1 1) into 1 0.690 * [backup-simplify]: Simplify (+ 1 0) into 1 0.691 * [backup-simplify]: Simplify (sqrt 1) into 1 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.693 * [taylor]: Taking taylor expansion of re in re 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ 1 1) into 1 0.693 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.693 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.693 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.693 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.693 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.693 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.693 * [taylor]: Taking taylor expansion of re in re 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ 1 1) into 1 0.693 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.693 * [taylor]: Taking taylor expansion of re in re 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.694 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.694 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.694 * [taylor]: Taking taylor expansion of im in re 0.694 * [backup-simplify]: Simplify im into im 0.694 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.694 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.694 * [taylor]: Taking taylor expansion of im in re 0.694 * [backup-simplify]: Simplify im into im 0.694 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.694 * [backup-simplify]: Simplify (* 1 1) into 1 0.694 * [backup-simplify]: Simplify (+ 1 0) into 1 0.694 * [backup-simplify]: Simplify (sqrt 1) into 1 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.696 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.696 * [taylor]: Taking taylor expansion of re in re 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [backup-simplify]: Simplify (- 1) into -1 0.697 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.697 * [taylor]: Taking taylor expansion of 0 in im 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [taylor]: Taking taylor expansion of 0 in im 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.699 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.699 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.700 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.701 * [taylor]: Taking taylor expansion of 1/2 in im 0.701 * [backup-simplify]: Simplify 1/2 into 1/2 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.701 * [taylor]: Taking taylor expansion of (pow im 2) in 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 (* 1 1) into 1 0.702 * [backup-simplify]: Simplify (/ 1 1) into 1 0.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.705 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 0 into 0 0.708 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 0.708 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 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 (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 -1 in im 0.708 * [backup-simplify]: Simplify -1 into -1 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 -1 in im 0.708 * [backup-simplify]: Simplify -1 into -1 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 -1 in im 0.708 * [backup-simplify]: Simplify -1 into -1 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 0.709 * [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 -1 in im 0.709 * [backup-simplify]: Simplify -1 into -1 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 (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 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 (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 -1 in re 0.712 * [backup-simplify]: Simplify -1 into -1 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 -1 in re 0.712 * [backup-simplify]: Simplify -1 into -1 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 0.713 * [backup-simplify]: Simplify (/ -1 1) into -1 0.713 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.713 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.713 * [taylor]: Taking taylor expansion of -1 in re 0.713 * [backup-simplify]: Simplify -1 into -1 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [backup-simplify]: Simplify im into im 0.713 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.713 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.713 * [taylor]: Taking taylor expansion of -1 in re 0.713 * [backup-simplify]: Simplify -1 into -1 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [backup-simplify]: Simplify im into im 0.713 * [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 0.714 * [backup-simplify]: Simplify (sqrt 1) into 1 0.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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) (hypot (/ -1 re) (/ -1 im))) in re 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.715 * [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 (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 -1 in re 0.716 * [backup-simplify]: Simplify -1 into -1 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 -1 in re 0.716 * [backup-simplify]: Simplify -1 into -1 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 0.717 * [backup-simplify]: Simplify (/ -1 1) into -1 0.717 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.717 * [taylor]: Taking taylor expansion of -1 in re 0.717 * [backup-simplify]: Simplify -1 into -1 0.717 * [taylor]: Taking taylor expansion of im in re 0.717 * [backup-simplify]: Simplify im into im 0.717 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.717 * [taylor]: Taking taylor expansion of -1 in re 0.717 * [backup-simplify]: Simplify -1 into -1 0.717 * [taylor]: Taking taylor expansion of im in re 0.717 * [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 0.718 * [backup-simplify]: Simplify (sqrt 1) into 1 0.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.719 * [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 0.720 * [backup-simplify]: Simplify (+ 1 1) into 2 0.720 * [taylor]: Taking taylor expansion of 2 in im 0.720 * [backup-simplify]: Simplify 2 into 2 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) 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 2 into 2 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.723 * [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)) 0.724 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.724 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) 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 0.724 * [backup-simplify]: Simplify (* 1 1) into 1 0.724 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.728 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.728 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -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 0.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [taylor]: Taking taylor expansion of 0 in im 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.730 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.730 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) into (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 0.730 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.730 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.730 * [taylor]: Taking taylor expansion of 2.0 in im 0.730 * [backup-simplify]: Simplify 2.0 into 2.0 0.731 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.731 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.731 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.731 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.731 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.731 * [taylor]: Taking taylor expansion of (* re re) in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [backup-simplify]: Simplify re into re 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [backup-simplify]: Simplify re into re 0.731 * [taylor]: Taking taylor expansion of (* im im) in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [taylor]: Taking taylor expansion of im in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.732 * [backup-simplify]: Simplify (* 0 0) into 0 0.732 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.732 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.732 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.732 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.733 * [taylor]: Taking taylor expansion of re in im 0.733 * [backup-simplify]: Simplify re into re 0.733 * [backup-simplify]: Simplify (- re) into (- re) 0.733 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.734 * [backup-simplify]: Simplify (+ 0 1) into 1 0.734 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.735 * [backup-simplify]: Simplify (- 0) into 0 0.735 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.735 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.735 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.736 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.737 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.737 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.737 * [taylor]: Taking taylor expansion of 2.0 in re 0.737 * [backup-simplify]: Simplify 2.0 into 2.0 0.737 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.737 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.737 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.737 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.738 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.738 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.738 * [taylor]: Taking taylor expansion of (* re re) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of (* im im) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [backup-simplify]: Simplify im into im 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [backup-simplify]: Simplify im into im 0.738 * [backup-simplify]: Simplify (* 0 0) into 0 0.738 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.738 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.738 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.739 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.739 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.739 * [taylor]: Taking taylor expansion of re in re 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.739 * [backup-simplify]: Simplify (+ im 0) into im 0.739 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.739 * [backup-simplify]: Simplify (- 1) into -1 0.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.740 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.740 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.740 * [taylor]: Taking taylor expansion of 2.0 in re 0.740 * [backup-simplify]: Simplify 2.0 into 2.0 0.740 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.740 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.740 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.741 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.741 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.741 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.741 * [taylor]: Taking taylor expansion of (* re re) in re 0.741 * [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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re 0.741 * [taylor]: Taking taylor expansion of im in re 0.741 * [backup-simplify]: Simplify im into im 0.741 * [taylor]: Taking taylor expansion of im in re 0.741 * [backup-simplify]: Simplify im into im 0.741 * [backup-simplify]: Simplify (* 0 0) into 0 0.741 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.741 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.741 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.742 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.742 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.742 * [taylor]: Taking taylor expansion of re in re 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ im 0) into im 0.742 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.743 * [backup-simplify]: Simplify (- 1) into -1 0.743 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.743 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.743 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.743 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.743 * [taylor]: Taking taylor expansion of 2.0 in im 0.743 * [backup-simplify]: Simplify 2.0 into 2.0 0.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.744 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.744 * [taylor]: Taking taylor expansion of im in im 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (sqrt 0) into 0 0.745 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.746 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.747 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.748 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.748 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.748 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 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 (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.748 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.748 * [taylor]: Taking taylor expansion of 2.0 in im 0.748 * [backup-simplify]: Simplify 2.0 into 2.0 0.748 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.748 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.748 * [taylor]: Taking taylor expansion of im in im 0.748 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [backup-simplify]: Simplify (sqrt 0) into 0 0.750 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.752 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.754 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.755 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.755 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.759 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.760 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.762 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.762 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.763 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.764 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.767 * [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)))))))) 0.767 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0))) into (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) 0.767 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.767 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.767 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.767 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.767 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 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 im 0.768 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.768 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.768 * [taylor]: Taking taylor expansion of re in im 0.768 * [backup-simplify]: Simplify re into re 0.768 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.768 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.768 * [taylor]: Taking taylor expansion of re in im 0.768 * [backup-simplify]: Simplify re into re 0.768 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.768 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.768 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.768 * [taylor]: Taking taylor expansion of im in im 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 im) in im 0.768 * [taylor]: Taking taylor expansion of im in im 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 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (+ 0 1) into 1 0.769 * [backup-simplify]: Simplify (sqrt 1) into 1 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.771 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.771 * [taylor]: Taking taylor expansion of re in im 0.771 * [backup-simplify]: Simplify re into re 0.771 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.771 * [backup-simplify]: Simplify (+ 1 0) into 1 0.771 * [backup-simplify]: Simplify (sqrt 0) into 0 0.772 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.772 * [taylor]: Taking taylor expansion of 2.0 in im 0.772 * [backup-simplify]: Simplify 2.0 into 2.0 0.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.773 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.773 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.773 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.773 * [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 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.776 * [taylor]: Taking taylor expansion of re in re 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.776 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.776 * [taylor]: Taking taylor expansion of im in re 0.776 * [backup-simplify]: Simplify im into im 0.776 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.776 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.776 * [taylor]: Taking taylor expansion of im in re 0.776 * [backup-simplify]: Simplify im into im 0.776 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.777 * [backup-simplify]: Simplify (* 1 1) into 1 0.777 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (sqrt 1) into 1 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [backup-simplify]: Simplify (- 1) into -1 0.779 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (- 0) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.782 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.782 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.783 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.784 * [backup-simplify]: Simplify (sqrt 0) into 0 0.784 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.784 * [taylor]: Taking taylor expansion of 2.0 in re 0.784 * [backup-simplify]: Simplify 2.0 into 2.0 0.784 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.785 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.785 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.785 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.785 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.785 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.785 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.785 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.786 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.786 * [taylor]: Taking taylor expansion of im in re 0.786 * [backup-simplify]: Simplify im into im 0.786 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.786 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.786 * [taylor]: Taking taylor expansion of im in re 0.786 * [backup-simplify]: Simplify im into im 0.786 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (+ 1 0) into 1 0.786 * [backup-simplify]: Simplify (sqrt 1) into 1 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.788 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.788 * [taylor]: Taking taylor expansion of re in re 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [backup-simplify]: Simplify (- 1) into -1 0.789 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (- 0) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.791 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.791 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.792 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (- 0) into 0 0.793 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.793 * [backup-simplify]: Simplify (sqrt 0) into 0 0.794 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.794 * [taylor]: Taking taylor expansion of 2.0 in re 0.794 * [backup-simplify]: Simplify 2.0 into 2.0 0.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.795 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 0.795 * [taylor]: Taking taylor expansion of 0 in im 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.795 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.795 * [taylor]: Taking taylor expansion of +nan.0 in im 0.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.795 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.795 * [taylor]: Taking taylor expansion of 2.0 in im 0.795 * [backup-simplify]: Simplify 2.0 into 2.0 0.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.796 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.796 * [taylor]: Taking taylor expansion of im in im 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.797 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.804 * [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)))) 0.804 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.804 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.804 * [taylor]: Taking taylor expansion of +nan.0 in im 0.804 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.804 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.804 * [taylor]: Taking taylor expansion of 2.0 in im 0.804 * [backup-simplify]: Simplify 2.0 into 2.0 0.804 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.805 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.805 * [taylor]: Taking taylor expansion of im in im 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.806 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.806 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.812 * [backup-simplify]: Simplify (- 0) into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (- 0) into 0 0.820 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.820 * [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)))))) 0.821 * [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)))))) 0.821 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.821 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.821 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.821 * [taylor]: Taking taylor expansion of +nan.0 in im 0.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.821 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.821 * [taylor]: Taking taylor expansion of 2.0 in im 0.821 * [backup-simplify]: Simplify 2.0 into 2.0 0.822 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.822 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.822 * [taylor]: Taking taylor expansion of im in im 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (* 1 1) into 1 0.823 * [backup-simplify]: Simplify (* 1 1) into 1 0.823 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.823 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.823 * [taylor]: Taking taylor expansion of +nan.0 in im 0.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.823 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.823 * [taylor]: Taking taylor expansion of 2.0 in im 0.823 * [backup-simplify]: Simplify 2.0 into 2.0 0.824 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.824 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.824 * [taylor]: Taking taylor expansion of im in im 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.826 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.832 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.834 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 0))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) 0.847 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.847 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.847 * [taylor]: Taking taylor expansion of 2.0 in im 0.847 * [backup-simplify]: Simplify 2.0 into 2.0 0.848 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.848 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.848 * [taylor]: Taking taylor expansion of re in im 0.848 * [backup-simplify]: Simplify re into re 0.848 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.848 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.848 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.848 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.848 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.848 * [taylor]: Taking taylor expansion of -1 in im 0.848 * [backup-simplify]: Simplify -1 into -1 0.848 * [taylor]: Taking taylor expansion of re in im 0.848 * [backup-simplify]: Simplify re into re 0.848 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.848 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.848 * [taylor]: Taking taylor expansion of -1 in im 0.848 * [backup-simplify]: Simplify -1 into -1 0.848 * [taylor]: Taking taylor expansion of re in im 0.848 * [backup-simplify]: Simplify re into re 0.848 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.849 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.849 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.849 * [taylor]: Taking taylor expansion of -1 in im 0.849 * [backup-simplify]: Simplify -1 into -1 0.849 * [taylor]: Taking taylor expansion of im in im 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ -1 1) into -1 0.849 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.849 * [taylor]: Taking taylor expansion of -1 in im 0.849 * [backup-simplify]: Simplify -1 into -1 0.849 * [taylor]: Taking taylor expansion of im in im 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ -1 1) into -1 0.849 * [backup-simplify]: Simplify (* -1 -1) into 1 0.850 * [backup-simplify]: Simplify (+ 0 1) into 1 0.850 * [backup-simplify]: Simplify (sqrt 1) into 1 0.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 1) into 1 0.852 * [backup-simplify]: Simplify (sqrt 0) into 0 0.853 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.853 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.853 * [taylor]: Taking taylor expansion of 2.0 in re 0.853 * [backup-simplify]: Simplify 2.0 into 2.0 0.853 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 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 0.854 * [backup-simplify]: Simplify (/ 1 1) into 1 0.854 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.854 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.854 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.854 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.854 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.854 * [taylor]: Taking taylor expansion of -1 in re 0.854 * [backup-simplify]: Simplify -1 into -1 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 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.855 * [taylor]: Taking taylor expansion of -1 in re 0.855 * [backup-simplify]: Simplify -1 into -1 0.855 * [taylor]: Taking taylor expansion of re in re 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (/ -1 1) into -1 0.855 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.855 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.855 * [taylor]: Taking taylor expansion of -1 in re 0.855 * [backup-simplify]: Simplify -1 into -1 0.855 * [taylor]: Taking taylor expansion of im in re 0.855 * [backup-simplify]: Simplify im into im 0.855 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.855 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.855 * [taylor]: Taking taylor expansion of -1 in re 0.855 * [backup-simplify]: Simplify -1 into -1 0.855 * [taylor]: Taking taylor expansion of im in re 0.855 * [backup-simplify]: Simplify im into im 0.855 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.855 * [backup-simplify]: Simplify (* -1 -1) into 1 0.856 * [backup-simplify]: Simplify (+ 1 0) into 1 0.856 * [backup-simplify]: Simplify (sqrt 1) into 1 0.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.858 * [backup-simplify]: Simplify (+ 1 1) into 2 0.858 * [backup-simplify]: Simplify (sqrt 0) into 0 0.859 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.859 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.859 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.859 * [taylor]: Taking taylor expansion of 2.0 in re 0.859 * [backup-simplify]: Simplify 2.0 into 2.0 0.859 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.860 * [taylor]: Taking taylor expansion of re in re 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.860 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.860 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.860 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.860 * [taylor]: Taking taylor expansion of -1 in re 0.860 * [backup-simplify]: Simplify -1 into -1 0.860 * [taylor]: Taking taylor expansion of re in re 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ -1 1) into -1 0.860 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.860 * [taylor]: Taking taylor expansion of -1 in re 0.860 * [backup-simplify]: Simplify -1 into -1 0.860 * [taylor]: Taking taylor expansion of re in re 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify (/ -1 1) into -1 0.861 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.861 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [backup-simplify]: Simplify -1 into -1 0.861 * [taylor]: Taking taylor expansion of im in re 0.861 * [backup-simplify]: Simplify im into im 0.861 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.861 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [backup-simplify]: Simplify -1 into -1 0.861 * [taylor]: Taking taylor expansion of im in re 0.861 * [backup-simplify]: Simplify im into im 0.861 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.861 * [backup-simplify]: Simplify (* -1 -1) into 1 0.861 * [backup-simplify]: Simplify (+ 1 0) into 1 0.862 * [backup-simplify]: Simplify (sqrt 1) into 1 0.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.866 * [backup-simplify]: Simplify (+ 1 1) into 2 0.866 * [backup-simplify]: Simplify (sqrt 0) into 0 0.867 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.868 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.868 * [taylor]: Taking taylor expansion of 0 in im 0.868 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.869 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.869 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.869 * [taylor]: Taking taylor expansion of +nan.0 in im 0.869 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.869 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.869 * [taylor]: Taking taylor expansion of 2.0 in im 0.869 * [backup-simplify]: Simplify 2.0 into 2.0 0.869 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.874 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.874 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.874 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) 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) in im 0.874 * [taylor]: Taking taylor expansion of 2.0 in im 0.874 * [backup-simplify]: Simplify 2.0 into 2.0 0.874 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.875 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.876 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.877 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.877 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.879 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.879 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.880 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.880 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.881 * [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)) 0.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.883 * [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))))) 0.883 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.883 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.883 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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 2)) 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 0.883 * [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 2) 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 0.885 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.885 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.885 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.885 * [taylor]: Taking taylor expansion of +nan.0 in im 0.885 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.885 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.885 * [taylor]: Taking taylor expansion of 2.0 in im 0.885 * [backup-simplify]: Simplify 2.0 into 2.0 0.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.888 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.889 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.890 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.892 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.892 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [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))) 0.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.896 * [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))))) 0.896 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.896 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.896 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.896 * [taylor]: Taking taylor expansion of +nan.0 in im 0.896 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.896 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.896 * [taylor]: Taking taylor expansion of 2.0 in im 0.896 * [backup-simplify]: Simplify 2.0 into 2.0 0.896 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.897 * [taylor]: Taking taylor expansion of im in im 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.898 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.898 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.898 * [taylor]: Taking taylor expansion of +nan.0 in im 0.898 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.898 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.898 * [taylor]: Taking taylor expansion of 2.0 in im 0.898 * [backup-simplify]: Simplify 2.0 into 2.0 0.898 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (- 0) into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.903 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.904 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.905 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.906 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.907 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.910 * [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))))))) 0.910 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.910 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.910 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.910 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.910 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.910 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.910 * [taylor]: Taking taylor expansion of (* re re) in im 0.910 * [taylor]: Taking taylor expansion of re in im 0.910 * [backup-simplify]: Simplify re into re 0.910 * [taylor]: Taking taylor expansion of re in im 0.910 * [backup-simplify]: Simplify re into re 0.910 * [taylor]: Taking taylor expansion of (* im im) in im 0.910 * [taylor]: Taking taylor expansion of im in im 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [taylor]: Taking taylor expansion of im in im 0.910 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.911 * [backup-simplify]: Simplify (* 0 0) into 0 0.911 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.911 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.911 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.911 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.912 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.912 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.912 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.912 * [taylor]: Taking taylor expansion of (* re re) in re 0.912 * [taylor]: Taking taylor expansion of re in re 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [taylor]: Taking taylor expansion of re in re 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [taylor]: Taking taylor expansion of (* im im) in re 0.912 * [taylor]: Taking taylor expansion of im in re 0.912 * [backup-simplify]: Simplify im into im 0.912 * [taylor]: Taking taylor expansion of im in re 0.912 * [backup-simplify]: Simplify im into im 0.912 * [backup-simplify]: Simplify (* 0 0) into 0 0.912 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.912 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.912 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.913 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.913 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.913 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.913 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.913 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.914 * [taylor]: Taking taylor expansion of (* re re) in re 0.914 * [taylor]: Taking taylor expansion of re in re 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [taylor]: Taking taylor expansion of re in re 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [taylor]: Taking taylor expansion of (* im im) in re 0.914 * [taylor]: Taking taylor expansion of im in re 0.914 * [backup-simplify]: Simplify im into im 0.914 * [taylor]: Taking taylor expansion of im in re 0.914 * [backup-simplify]: Simplify im into im 0.914 * [backup-simplify]: Simplify (* 0 0) into 0 0.914 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.914 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.914 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.914 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.915 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.915 * [taylor]: Taking taylor expansion of im in im 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [taylor]: Taking taylor expansion of 0 in im 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.916 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.916 * [backup-simplify]: Simplify (+ 1 0) into 1 0.916 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.916 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.916 * [taylor]: Taking taylor expansion of 1/2 in im 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.916 * [taylor]: Taking taylor expansion of im in im 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.919 * [taylor]: Taking taylor expansion of 0 in im 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.919 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.919 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.919 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.920 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.920 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.920 * [taylor]: Taking taylor expansion of re in im 0.920 * [backup-simplify]: Simplify re into re 0.920 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.920 * [taylor]: Taking taylor expansion of re in im 0.920 * [backup-simplify]: Simplify re into re 0.920 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.920 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.920 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [backup-simplify]: Simplify (* 1 1) into 1 0.921 * [backup-simplify]: Simplify (+ 0 1) into 1 0.921 * [backup-simplify]: Simplify (sqrt 1) into 1 0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.923 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.923 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.923 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.923 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.923 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.923 * [taylor]: Taking taylor expansion of re in re 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (/ 1 1) into 1 0.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.924 * [taylor]: Taking taylor expansion of re in re 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (/ 1 1) into 1 0.924 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.924 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.924 * [taylor]: Taking taylor expansion of im in re 0.924 * [backup-simplify]: Simplify im into im 0.924 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.924 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.924 * [taylor]: Taking taylor expansion of im in re 0.924 * [backup-simplify]: Simplify im into im 0.924 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.924 * [backup-simplify]: Simplify (* 1 1) into 1 0.925 * [backup-simplify]: Simplify (+ 1 0) into 1 0.925 * [backup-simplify]: Simplify (sqrt 1) into 1 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.927 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.927 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.927 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.927 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.927 * [taylor]: Taking taylor expansion of re in re 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [backup-simplify]: Simplify (/ 1 1) into 1 0.927 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.927 * [taylor]: Taking taylor expansion of re in re 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [backup-simplify]: Simplify (/ 1 1) into 1 0.927 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.927 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.927 * [taylor]: Taking taylor expansion of im in re 0.927 * [backup-simplify]: Simplify im into im 0.927 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.927 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.927 * [taylor]: Taking taylor expansion of im in re 0.927 * [backup-simplify]: Simplify im into im 0.927 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.928 * [backup-simplify]: Simplify (* 1 1) into 1 0.928 * [backup-simplify]: Simplify (+ 1 0) into 1 0.928 * [backup-simplify]: Simplify (sqrt 1) into 1 0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 0 in im 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.932 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.932 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.932 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.932 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.933 * [taylor]: Taking taylor expansion of 1/2 in im 0.933 * [backup-simplify]: Simplify 1/2 into 1/2 0.933 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.933 * [taylor]: Taking taylor expansion of im in im 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (* 1 1) into 1 0.933 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.936 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.936 * [taylor]: Taking taylor expansion of 0 in im 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.938 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.938 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.938 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.938 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.938 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.938 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.938 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.938 * [taylor]: Taking taylor expansion of -1 in im 0.938 * [backup-simplify]: Simplify -1 into -1 0.938 * [taylor]: Taking taylor expansion of re in im 0.938 * [backup-simplify]: Simplify re into re 0.938 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.938 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.938 * [taylor]: Taking taylor expansion of -1 in im 0.938 * [backup-simplify]: Simplify -1 into -1 0.938 * [taylor]: Taking taylor expansion of re in im 0.938 * [backup-simplify]: Simplify re into re 0.938 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.938 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.938 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.938 * [taylor]: Taking taylor expansion of -1 in im 0.938 * [backup-simplify]: Simplify -1 into -1 0.938 * [taylor]: Taking taylor expansion of im in im 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [backup-simplify]: Simplify (/ -1 1) into -1 0.938 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.938 * [taylor]: Taking taylor expansion of -1 in im 0.938 * [backup-simplify]: Simplify -1 into -1 0.938 * [taylor]: Taking taylor expansion of im in im 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (/ -1 1) into -1 0.939 * [backup-simplify]: Simplify (* -1 -1) into 1 0.939 * [backup-simplify]: Simplify (+ 0 1) into 1 0.939 * [backup-simplify]: Simplify (sqrt 1) into 1 0.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.941 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.941 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.941 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.941 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.941 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.941 * [taylor]: Taking taylor expansion of -1 in re 0.941 * [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 0.942 * [backup-simplify]: Simplify (/ -1 1) into -1 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 0.942 * [backup-simplify]: Simplify (/ -1 1) into -1 0.942 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.942 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re 0.942 * [backup-simplify]: Simplify im into im 0.942 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.942 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re 0.942 * [backup-simplify]: Simplify im into im 0.942 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.943 * [backup-simplify]: Simplify (* -1 -1) into 1 0.943 * [backup-simplify]: Simplify (+ 1 0) into 1 0.943 * [backup-simplify]: Simplify (sqrt 1) into 1 0.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.945 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.945 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.945 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.945 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.945 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.945 * [taylor]: Taking taylor expansion of -1 in re 0.945 * [backup-simplify]: Simplify -1 into -1 0.945 * [taylor]: Taking taylor expansion of re in re 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (/ -1 1) into -1 0.945 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.945 * [taylor]: Taking taylor expansion of -1 in re 0.946 * [backup-simplify]: Simplify -1 into -1 0.946 * [taylor]: Taking taylor expansion of re in re 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (/ -1 1) into -1 0.946 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.946 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.946 * [taylor]: Taking taylor expansion of -1 in re 0.946 * [backup-simplify]: Simplify -1 into -1 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [backup-simplify]: Simplify im into im 0.946 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.946 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.946 * [taylor]: Taking taylor expansion of -1 in re 0.946 * [backup-simplify]: Simplify -1 into -1 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [backup-simplify]: Simplify im into im 0.946 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.946 * [backup-simplify]: Simplify (* -1 -1) into 1 0.946 * [backup-simplify]: Simplify (+ 1 0) into 1 0.947 * [backup-simplify]: Simplify (sqrt 1) into 1 0.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.949 * [taylor]: Taking taylor expansion of 1 in im 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [taylor]: Taking taylor expansion of 0 in im 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.950 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.950 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.951 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.951 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.951 * [taylor]: Taking taylor expansion of 1/2 in im 0.951 * [backup-simplify]: Simplify 1/2 into 1/2 0.951 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (* 1 1) into 1 0.952 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.957 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.957 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.958 * [taylor]: Taking taylor expansion of 0 in im 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.959 * * * [progress]: simplifying candidates 0.960 * [simplify]: Simplifying: (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (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 (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (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 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (* (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt 2.0) (sqrt (+ (- (hypot re im) re) 0)) (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) (pow 0 3)))) (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- (* 0 0) (* (- (hypot re im) re) 0)))) (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) (* 0 0)))) (sqrt (- (- (hypot re im) re) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- 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))))))) im re (* -1 re) 0.960 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma (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 (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (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 (- (hypot h0 h1) h0)) (log1p (- (hypot h0 h1) h0)) (- h0) (- h0) (- h0) (/ (exp (hypot h0 h1)) (exp h0)) (log (- (hypot h0 h1) h0)) (exp (- (hypot h0 h1) h0)) (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0))) (cbrt (- (hypot h0 h1) h0)) (* (* (- (hypot h0 h1) h0) (- (hypot h0 h1) h0)) (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (- (pow (hypot h0 h1) 3) (pow h0 3)) (+ (* (hypot h0 h1) (hypot h0 h1)) (+ (* h0 h0) (* (hypot h0 h1) h0))) (- h0) (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0)) (+ (hypot h0 h1) h0) (+ (sqrt (hypot h0 h1)) (sqrt h0)) (- (sqrt (hypot h0 h1)) (sqrt h0)) (- (hypot h0 h1) h0) (- h0) (expm1 (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (log1p (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (log (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (exp (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (* (cbrt (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (cbrt (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0))))) (cbrt (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (* (* (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0))) (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (sqrt h2) (sqrt (+ (- (hypot h0 h1) h0) 0)) (sqrt (* h2 (+ (pow (- (hypot h0 h1) h0) 3) (pow 0 3)))) (sqrt (+ (* (- (hypot h0 h1) h0) (- (hypot h0 h1) h0)) (- (* 0 0) (* (- (hypot h0 h1) h0) 0)))) (sqrt (* h2 (- (* (- (hypot h0 h1) h0) (- (hypot h0 h1) h0)) (* 0 0)))) (sqrt (- (- (hypot h0 h1) h0) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (sqrt (sqrt (* h2 (+ (- (hypot h0 h1) h0) 0)))) (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) (- (+ (* 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))))))) h1 h0 (* -1 h0) 0.964 * * [simplify]: iteration 0 : 283 enodes (cost 345 ) 0.969 * * [simplify]: iteration 1 : 1118 enodes (cost 247 ) 1.003 * * [simplify]: iteration 2 : 5001 enodes (cost 236 ) 1.004 * * * [progress]: adding candidates to table 1.140 * * [progress]: iteration 3 / 4 1.140 * * * [progress]: picking best candidate 1.158 * * * * [pick]: Picked # 1.158 * * * [progress]: localizing error 1.168 * * * [progress]: generating rewritten candidates 1.168 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.175 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.199 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.208 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 1.211 * * * [progress]: generating series expansions 1.211 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.211 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re) 1.211 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.211 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.211 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.211 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.211 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.211 * [taylor]: Taking taylor expansion of (* re re) in im 1.211 * [taylor]: Taking taylor expansion of re in im 1.211 * [backup-simplify]: Simplify re into re 1.211 * [taylor]: Taking taylor expansion of re in im 1.211 * [backup-simplify]: Simplify re into re 1.211 * [taylor]: Taking taylor expansion of (* im im) in im 1.211 * [taylor]: Taking taylor expansion of im in im 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [taylor]: Taking taylor expansion of im in im 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.212 * [backup-simplify]: Simplify (* 0 0) into 0 1.212 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.212 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.212 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.212 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.213 * [backup-simplify]: Simplify (+ 0 0) into 0 1.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.213 * [taylor]: Taking taylor expansion of re in im 1.213 * [backup-simplify]: Simplify re into re 1.213 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.213 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.213 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.213 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.213 * [taylor]: Taking taylor expansion of (* re re) in re 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [taylor]: Taking taylor expansion of (* im im) in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.213 * [backup-simplify]: Simplify im into im 1.213 * [taylor]: Taking taylor expansion of im in re 1.213 * [backup-simplify]: Simplify im into im 1.213 * [backup-simplify]: Simplify (* 0 0) into 0 1.213 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.214 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.214 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.214 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.214 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.214 * [taylor]: Taking taylor expansion of re in re 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.214 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.214 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.215 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.215 * [taylor]: Taking taylor expansion of (* re re) in re 1.215 * [taylor]: Taking taylor expansion of re in re 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [taylor]: Taking taylor expansion of re in re 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [taylor]: Taking taylor expansion of (* im im) in re 1.215 * [taylor]: Taking taylor expansion of im in re 1.215 * [backup-simplify]: Simplify im into im 1.215 * [taylor]: Taking taylor expansion of im in re 1.215 * [backup-simplify]: Simplify im into im 1.215 * [backup-simplify]: Simplify (* 0 0) into 0 1.215 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.215 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.215 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.215 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.216 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.216 * [taylor]: Taking taylor expansion of re in re 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ im 0) into im 1.216 * [taylor]: Taking taylor expansion of im in im 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify (- 1) into -1 1.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.217 * [taylor]: Taking taylor expansion of -1 in im 1.217 * [backup-simplify]: Simplify -1 into -1 1.217 * [backup-simplify]: Simplify -1 into -1 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.218 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.218 * [backup-simplify]: Simplify (+ 1 0) into 1 1.218 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.218 * [backup-simplify]: Simplify (- 0) into 0 1.219 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.219 * [taylor]: Taking taylor expansion of 1/2 in im 1.219 * [backup-simplify]: Simplify 1/2 into 1/2 1.219 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.219 * [taylor]: Taking taylor expansion of im in im 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (/ 1 1) into 1 1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.221 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.221 * [backup-simplify]: Simplify (- 0) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [taylor]: Taking taylor expansion of 0 in im 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.223 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.223 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.223 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.223 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.223 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.223 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.223 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.223 * [taylor]: Taking taylor expansion of re in im 1.223 * [backup-simplify]: Simplify re into re 1.223 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.223 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.223 * [taylor]: Taking taylor expansion of re in im 1.223 * [backup-simplify]: Simplify re into re 1.223 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.223 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.223 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.223 * [taylor]: Taking taylor expansion of im in im 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (/ 1 1) into 1 1.223 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.223 * [taylor]: Taking taylor expansion of im in im 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [backup-simplify]: Simplify (* 1 1) into 1 1.224 * [backup-simplify]: Simplify (+ 0 1) into 1 1.224 * [backup-simplify]: Simplify (sqrt 1) into 1 1.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.226 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.226 * [taylor]: Taking taylor expansion of re in im 1.226 * [backup-simplify]: Simplify re into re 1.226 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.226 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.226 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.226 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.226 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (/ 1 1) into 1 1.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (/ 1 1) into 1 1.227 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.227 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.227 * [taylor]: Taking taylor expansion of im in re 1.227 * [backup-simplify]: Simplify im into im 1.227 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.227 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.227 * [taylor]: Taking taylor expansion of im in re 1.227 * [backup-simplify]: Simplify im into im 1.227 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.228 * [backup-simplify]: Simplify (* 1 1) into 1 1.228 * [backup-simplify]: Simplify (+ 1 0) into 1 1.228 * [backup-simplify]: Simplify (sqrt 1) into 1 1.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.230 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.230 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.230 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (/ 1 1) into 1 1.231 * [taylor]: Taking taylor expansion of (/ 1 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 1.234 * [backup-simplify]: Simplify (/ 1 1) into 1 1.234 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.234 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.234 * [taylor]: Taking taylor expansion of im in re 1.234 * [backup-simplify]: Simplify im into im 1.234 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.234 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.234 * [taylor]: Taking taylor expansion of im in re 1.234 * [backup-simplify]: Simplify im into im 1.234 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.234 * [backup-simplify]: Simplify (* 1 1) into 1 1.234 * [backup-simplify]: Simplify (+ 1 0) into 1 1.235 * [backup-simplify]: Simplify (sqrt 1) into 1 1.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.236 * [taylor]: Taking taylor expansion of re in re 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify (/ 1 1) into 1 1.237 * [backup-simplify]: Simplify (- 1) into -1 1.237 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.237 * [taylor]: Taking taylor expansion of 0 in im 1.237 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.238 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [taylor]: Taking taylor expansion of 0 in im 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.240 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.240 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.240 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (- 0) into 0 1.241 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.241 * [taylor]: Taking taylor expansion of 1/2 in im 1.241 * [backup-simplify]: Simplify 1/2 into 1/2 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.241 * [taylor]: Taking taylor expansion of im in im 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (* 1 1) into 1 1.242 * [backup-simplify]: Simplify (/ 1 1) into 1 1.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.245 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.245 * [backup-simplify]: Simplify (+ 0 0) into 0 1.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.246 * [taylor]: Taking taylor expansion of 0 in im 1.246 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1.248 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 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)) in im 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 im 1.248 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.248 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.248 * [taylor]: Taking taylor expansion of -1 in im 1.248 * [backup-simplify]: Simplify -1 into -1 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 (/ -1 re) in im 1.248 * [taylor]: Taking taylor expansion of -1 in im 1.248 * [backup-simplify]: Simplify -1 into -1 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) 1.249 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.249 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.249 * [taylor]: Taking taylor expansion of -1 in im 1.249 * [backup-simplify]: Simplify -1 into -1 1.249 * [taylor]: Taking taylor expansion of im in im 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) in im 1.249 * [taylor]: Taking taylor expansion of -1 in im 1.249 * [backup-simplify]: Simplify -1 into -1 1.249 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (* -1 -1) into 1 1.250 * [backup-simplify]: Simplify (+ 0 1) into 1 1.250 * [backup-simplify]: Simplify (sqrt 1) into 1 1.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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) (hypot (/ -1 re) (/ -1 im))) 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 (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 -1 in re 1.252 * [backup-simplify]: Simplify -1 into -1 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 re) in re 1.253 * [taylor]: Taking taylor expansion of -1 in re 1.253 * [backup-simplify]: Simplify -1 into -1 1.253 * [taylor]: Taking taylor expansion of re in re 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [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 -1 in re 1.253 * [backup-simplify]: Simplify -1 into -1 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 -1 in re 1.253 * [backup-simplify]: Simplify -1 into -1 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 1.254 * [backup-simplify]: Simplify (+ 1 0) into 1 1.254 * [backup-simplify]: Simplify (sqrt 1) into 1 1.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [backup-simplify]: Simplify (/ 1 1) into 1 1.256 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.256 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.256 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.256 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.256 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.256 * [taylor]: Taking taylor expansion of -1 in re 1.256 * [backup-simplify]: Simplify -1 into -1 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (/ -1 1) into -1 1.257 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.257 * [taylor]: Taking taylor expansion of -1 in re 1.257 * [backup-simplify]: Simplify -1 into -1 1.257 * [taylor]: Taking taylor expansion of re in re 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (/ -1 1) into -1 1.257 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.257 * [taylor]: Taking taylor expansion of -1 in re 1.257 * [backup-simplify]: Simplify -1 into -1 1.257 * [taylor]: Taking taylor expansion of im in re 1.257 * [backup-simplify]: Simplify im into im 1.257 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.257 * [taylor]: Taking taylor expansion of -1 in re 1.257 * [backup-simplify]: Simplify -1 into -1 1.257 * [taylor]: Taking taylor expansion of im in re 1.257 * [backup-simplify]: Simplify im into im 1.257 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.258 * [backup-simplify]: Simplify (* -1 -1) into 1 1.258 * [backup-simplify]: Simplify (+ 1 0) into 1 1.258 * [backup-simplify]: Simplify (sqrt 1) into 1 1.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.259 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.259 * [backup-simplify]: Simplify (+ 0 0) into 0 1.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.260 * [backup-simplify]: Simplify (+ 1 1) into 2 1.260 * [taylor]: Taking taylor expansion of 2 in im 1.260 * [backup-simplify]: Simplify 2 into 2 1.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (+ 0 0) into 0 1.261 * [taylor]: Taking taylor expansion of 0 in im 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 2 into 2 1.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.263 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.263 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.263 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.264 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.264 * [taylor]: Taking taylor expansion of 1/2 in im 1.264 * [backup-simplify]: Simplify 1/2 into 1/2 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.264 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.264 * [taylor]: Taking taylor expansion of im in im 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (* 1 1) into 1 1.265 * [backup-simplify]: Simplify (/ 1 1) into 1 1.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.268 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.268 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.268 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [taylor]: Taking taylor expansion of 0 in im 1.269 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.271 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.271 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (- (hypot re im) re))) into (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 1.271 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.271 * [taylor]: Taking taylor expansion of 2.0 in im 1.272 * [backup-simplify]: Simplify 2.0 into 2.0 1.272 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.272 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.272 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.272 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.272 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.272 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.272 * [taylor]: Taking taylor expansion of (* re re) in im 1.272 * [taylor]: Taking taylor expansion of re in im 1.272 * [backup-simplify]: Simplify re into re 1.272 * [taylor]: Taking taylor expansion of re in im 1.272 * [backup-simplify]: Simplify re into re 1.272 * [taylor]: Taking taylor expansion of (* im im) in im 1.272 * [taylor]: Taking taylor expansion of im in im 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 1 into 1 1.272 * [taylor]: Taking taylor expansion of im in im 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 1 into 1 1.273 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.273 * [backup-simplify]: Simplify (* 0 0) into 0 1.273 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.273 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.273 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.273 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.274 * [backup-simplify]: Simplify (+ 0 0) into 0 1.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.274 * [taylor]: Taking taylor expansion of re in im 1.274 * [backup-simplify]: Simplify re into re 1.274 * [backup-simplify]: Simplify (- re) into (- re) 1.274 * [backup-simplify]: Simplify (+ re (- re)) into 0 1.274 * [backup-simplify]: Simplify (- 0) into 0 1.274 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.275 * [backup-simplify]: Simplify (+ 0 1) into 1 1.276 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.276 * [backup-simplify]: Simplify (- 0) into 0 1.276 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 1.276 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.276 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.278 * [backup-simplify]: Simplify (- 0) into 0 1.278 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 1.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.278 * [taylor]: Taking taylor expansion of 2.0 in re 1.278 * [backup-simplify]: Simplify 2.0 into 2.0 1.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.279 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.279 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.279 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.279 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.279 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.279 * [taylor]: Taking taylor expansion of (* re re) in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of re in re 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (* im im) in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.279 * [backup-simplify]: Simplify im into im 1.279 * [taylor]: Taking taylor expansion of im in re 1.279 * [backup-simplify]: Simplify im into im 1.279 * [backup-simplify]: Simplify (* 0 0) into 0 1.279 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.279 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.279 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.280 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.280 * [taylor]: Taking taylor expansion of re in re 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (- 0) into 0 1.280 * [backup-simplify]: Simplify (+ im 0) into im 1.280 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.281 * [backup-simplify]: Simplify (- 1) into -1 1.281 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.281 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 1.281 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.281 * [taylor]: Taking taylor expansion of 2.0 in re 1.281 * [backup-simplify]: Simplify 2.0 into 2.0 1.281 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.282 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.282 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.282 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.282 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.282 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.282 * [taylor]: Taking taylor expansion of (* re re) in re 1.282 * [taylor]: Taking taylor expansion of re in re 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [taylor]: Taking taylor expansion of re in re 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [taylor]: Taking taylor expansion of (* im im) in re 1.282 * [taylor]: Taking taylor expansion of im in re 1.282 * [backup-simplify]: Simplify im into im 1.282 * [taylor]: Taking taylor expansion of im in re 1.282 * [backup-simplify]: Simplify im into im 1.282 * [backup-simplify]: Simplify (* 0 0) into 0 1.282 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.282 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.282 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.283 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.283 * [backup-simplify]: Simplify (+ 0 0) into 0 1.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (+ im 0) into im 1.284 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.284 * [backup-simplify]: Simplify (- 1) into -1 1.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.284 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 1.284 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 1.284 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.284 * [taylor]: Taking taylor expansion of 2.0 in im 1.284 * [backup-simplify]: Simplify 2.0 into 2.0 1.285 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.285 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.285 * [taylor]: Taking taylor expansion of im in im 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (sqrt 0) into 0 1.286 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.287 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.288 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.289 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 1.289 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.289 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.289 * [taylor]: Taking taylor expansion of 1/2 in im 1.289 * [backup-simplify]: Simplify 1/2 into 1/2 1.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.289 * [taylor]: Taking taylor expansion of 2.0 in im 1.289 * [backup-simplify]: Simplify 2.0 into 2.0 1.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.290 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.290 * [taylor]: Taking taylor expansion of im in im 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [backup-simplify]: Simplify (/ 1 1) into 1 1.290 * [backup-simplify]: Simplify (sqrt 0) into 0 1.291 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.293 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.293 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.295 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.296 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.296 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.299 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.301 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.301 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.303 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.305 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.306 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.309 * [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)))))))) 1.309 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) into (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) 1.309 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.309 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.309 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.309 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.310 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.310 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.310 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.310 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.310 * [taylor]: Taking taylor expansion of re in im 1.310 * [backup-simplify]: Simplify re into re 1.310 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.310 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.310 * [taylor]: Taking taylor expansion of re in im 1.310 * [backup-simplify]: Simplify re into re 1.310 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.310 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.310 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.310 * [taylor]: Taking taylor expansion of im in im 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 1 1) into 1 1.310 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.310 * [taylor]: Taking taylor expansion of im in im 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 1 1) into 1 1.311 * [backup-simplify]: Simplify (* 1 1) into 1 1.311 * [backup-simplify]: Simplify (+ 0 1) into 1 1.311 * [backup-simplify]: Simplify (sqrt 1) into 1 1.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.313 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.313 * [backup-simplify]: Simplify re into re 1.313 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.313 * [backup-simplify]: Simplify (+ 1 0) into 1 1.313 * [backup-simplify]: Simplify (sqrt 0) into 0 1.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.314 * [taylor]: Taking taylor expansion of 2.0 in im 1.314 * [backup-simplify]: Simplify 2.0 into 2.0 1.315 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.315 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.315 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.315 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.315 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.315 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.315 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.315 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.315 * [taylor]: Taking taylor expansion of re in re 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 1.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.316 * [taylor]: Taking taylor expansion of re in re 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.316 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.316 * [taylor]: Taking taylor expansion of im in re 1.316 * [backup-simplify]: Simplify im into im 1.316 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.316 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.316 * [taylor]: Taking taylor expansion of im in re 1.316 * [backup-simplify]: Simplify im into im 1.316 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.316 * [backup-simplify]: Simplify (+ 1 0) into 1 1.317 * [backup-simplify]: Simplify (sqrt 1) into 1 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (/ 1 1) into 1 1.319 * [backup-simplify]: Simplify (- 1) into -1 1.319 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (- 0) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.321 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.322 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.322 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.323 * [backup-simplify]: Simplify (sqrt 0) into 0 1.327 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.327 * [taylor]: Taking taylor expansion of 2.0 in re 1.327 * [backup-simplify]: Simplify 2.0 into 2.0 1.327 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.327 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.327 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.327 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.327 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.328 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.328 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.328 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.328 * [taylor]: Taking taylor expansion of re in re 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.328 * [taylor]: Taking taylor expansion of re in re 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re 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 im in re 1.328 * [backup-simplify]: Simplify im into im 1.328 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.329 * [backup-simplify]: Simplify (* 1 1) into 1 1.329 * [backup-simplify]: Simplify (+ 1 0) into 1 1.329 * [backup-simplify]: Simplify (sqrt 1) into 1 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 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 1.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 * [backup-simplify]: Simplify (- 1) into -1 1.332 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.334 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.334 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.335 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.336 * [backup-simplify]: Simplify (sqrt 0) into 0 1.336 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.336 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.336 * [taylor]: Taking taylor expansion of 2.0 in re 1.336 * [backup-simplify]: Simplify 2.0 into 2.0 1.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.337 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 1.337 * [taylor]: Taking taylor expansion of 0 in im 1.337 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 1.338 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.338 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.338 * [taylor]: Taking taylor expansion of +nan.0 in im 1.338 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.338 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.338 * [taylor]: Taking taylor expansion of 2.0 in im 1.338 * [backup-simplify]: Simplify 2.0 into 2.0 1.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.339 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.339 * [taylor]: Taking taylor expansion of im in im 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* 1 1) into 1 1.340 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.344 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify (- 0) into 0 1.345 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 1.346 * [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)))) 1.346 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.346 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.346 * [taylor]: Taking taylor expansion of +nan.0 in im 1.347 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.347 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.347 * [taylor]: Taking taylor expansion of 2.0 in im 1.347 * [backup-simplify]: Simplify 2.0 into 2.0 1.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.347 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.347 * [taylor]: Taking taylor expansion of im in im 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.361 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 1.363 * [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)))))) 1.364 * [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)))))) 1.364 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.364 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.364 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.364 * [taylor]: Taking taylor expansion of +nan.0 in im 1.364 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.364 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.364 * [taylor]: Taking taylor expansion of 2.0 in im 1.364 * [backup-simplify]: Simplify 2.0 into 2.0 1.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.365 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.365 * [taylor]: Taking taylor expansion of im in im 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (* 1 1) into 1 1.366 * [backup-simplify]: Simplify (* 1 1) into 1 1.366 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.366 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.366 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.366 * [taylor]: Taking taylor expansion of +nan.0 in im 1.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.366 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.366 * [taylor]: Taking taylor expansion of 2.0 in im 1.366 * [backup-simplify]: Simplify 2.0 into 2.0 1.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.367 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.367 * [taylor]: Taking taylor expansion of im in im 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.377 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 1.389 * [backup-simplify]: Simplify (- 0) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (- 0) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) 1.390 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.390 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.390 * [taylor]: Taking taylor expansion of 2.0 in im 1.390 * [backup-simplify]: Simplify 2.0 into 2.0 1.390 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [backup-simplify]: Simplify re into re 1.391 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.391 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.391 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.391 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.391 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.391 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.391 * [taylor]: Taking taylor expansion of -1 in im 1.391 * [backup-simplify]: Simplify -1 into -1 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [backup-simplify]: Simplify re into re 1.391 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.391 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.391 * [taylor]: Taking taylor expansion of -1 in im 1.391 * [backup-simplify]: Simplify -1 into -1 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [backup-simplify]: Simplify re into re 1.391 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.391 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.391 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.391 * [taylor]: Taking taylor expansion of -1 in im 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 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (/ -1 1) into -1 1.392 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.392 * [taylor]: Taking taylor expansion of -1 in im 1.392 * [backup-simplify]: Simplify -1 into -1 1.392 * [taylor]: Taking taylor expansion of im in im 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (/ -1 1) into -1 1.392 * [backup-simplify]: Simplify (* -1 -1) into 1 1.393 * [backup-simplify]: Simplify (+ 0 1) into 1 1.393 * [backup-simplify]: Simplify (sqrt 1) into 1 1.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.395 * [backup-simplify]: Simplify (+ 0 1) into 1 1.395 * [backup-simplify]: Simplify (sqrt 0) into 0 1.396 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.396 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.396 * [taylor]: Taking taylor expansion of 2.0 in re 1.396 * [backup-simplify]: Simplify 2.0 into 2.0 1.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.397 * [taylor]: Taking taylor expansion of re in re 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (/ 1 1) into 1 1.397 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.397 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.397 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.397 * [taylor]: Taking taylor expansion of -1 in re 1.397 * [backup-simplify]: Simplify -1 into -1 1.397 * [taylor]: Taking taylor expansion of re in re 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (/ -1 1) into -1 1.398 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.398 * [taylor]: Taking taylor expansion of -1 in re 1.398 * [backup-simplify]: Simplify -1 into -1 1.398 * [taylor]: Taking taylor expansion of re in re 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (/ -1 1) into -1 1.398 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.398 * [taylor]: Taking taylor expansion of -1 in re 1.398 * [backup-simplify]: Simplify -1 into -1 1.398 * [taylor]: Taking taylor expansion of im in re 1.398 * [backup-simplify]: Simplify im into im 1.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.398 * [taylor]: Taking taylor expansion of -1 in re 1.398 * [backup-simplify]: Simplify -1 into -1 1.398 * [taylor]: Taking taylor expansion of im in re 1.398 * [backup-simplify]: Simplify im into im 1.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.398 * [backup-simplify]: Simplify (* -1 -1) into 1 1.399 * [backup-simplify]: Simplify (+ 1 0) into 1 1.399 * [backup-simplify]: Simplify (sqrt 1) into 1 1.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.401 * [backup-simplify]: Simplify (+ 1 1) into 2 1.401 * [backup-simplify]: Simplify (sqrt 0) into 0 1.402 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.402 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.402 * [taylor]: Taking taylor expansion of 2.0 in re 1.402 * [backup-simplify]: Simplify 2.0 into 2.0 1.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.403 * [taylor]: Taking taylor expansion of re in re 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.403 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.403 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.403 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.403 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.403 * [taylor]: Taking taylor expansion of -1 in re 1.403 * [backup-simplify]: Simplify -1 into -1 1.403 * [taylor]: Taking taylor expansion of re in re 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ -1 1) into -1 1.403 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.403 * [taylor]: Taking taylor expansion of -1 in re 1.403 * [backup-simplify]: Simplify -1 into -1 1.403 * [taylor]: Taking taylor expansion of re in re 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ -1 1) into -1 1.404 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.404 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.404 * [taylor]: Taking taylor expansion of -1 in re 1.404 * [backup-simplify]: Simplify -1 into -1 1.404 * [taylor]: Taking taylor expansion of im in re 1.404 * [backup-simplify]: Simplify im into im 1.404 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.404 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.404 * [taylor]: Taking taylor expansion of -1 in re 1.404 * [backup-simplify]: Simplify -1 into -1 1.404 * [taylor]: Taking taylor expansion of im in re 1.404 * [backup-simplify]: Simplify im into im 1.404 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.404 * [backup-simplify]: Simplify (* -1 -1) into 1 1.404 * [backup-simplify]: Simplify (+ 1 0) into 1 1.405 * [backup-simplify]: Simplify (sqrt 1) into 1 1.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.407 * [backup-simplify]: Simplify (+ 1 1) into 2 1.407 * [backup-simplify]: Simplify (sqrt 0) into 0 1.408 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.408 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.408 * [taylor]: Taking taylor expansion of 0 in im 1.408 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.409 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.409 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.410 * [taylor]: Taking taylor expansion of +nan.0 in im 1.410 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.410 * [taylor]: Taking taylor expansion of 2.0 in im 1.410 * [backup-simplify]: Simplify 2.0 into 2.0 1.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.416 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.417 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.417 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.417 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.417 * [taylor]: Taking taylor expansion of +nan.0 in im 1.417 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.417 * [taylor]: Taking taylor expansion of 2.0 in im 1.417 * [backup-simplify]: Simplify 2.0 into 2.0 1.418 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.418 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.419 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.420 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.420 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.422 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.423 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.423 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.423 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.425 * [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)) 1.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.426 * [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))))) 1.426 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.426 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.426 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.426 * [taylor]: Taking taylor expansion of +nan.0 in im 1.426 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.426 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.426 * [taylor]: Taking taylor expansion of 2.0 in im 1.426 * [backup-simplify]: Simplify 2.0 into 2.0 1.426 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.427 * [taylor]: Taking taylor expansion of im in im 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (* 1 1) into 1 1.428 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.428 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.428 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.428 * [taylor]: Taking taylor expansion of +nan.0 in im 1.428 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.428 * [taylor]: Taking taylor expansion of 2.0 in im 1.428 * [backup-simplify]: Simplify 2.0 into 2.0 1.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.432 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.433 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.433 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.433 * [backup-simplify]: Simplify (- 0) into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.436 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.436 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [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))) 1.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.439 * [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))))) 1.440 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.440 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.440 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.440 * [taylor]: Taking taylor expansion of +nan.0 in im 1.440 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.440 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.440 * [taylor]: Taking taylor expansion of 2.0 in im 1.440 * [backup-simplify]: Simplify 2.0 into 2.0 1.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.440 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.440 * [taylor]: Taking taylor expansion of im in im 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.441 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.441 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.441 * [taylor]: Taking taylor expansion of +nan.0 in im 1.441 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.441 * [taylor]: Taking taylor expansion of 2.0 in im 1.441 * [backup-simplify]: Simplify 2.0 into 2.0 1.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (- 0) into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.447 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.448 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.449 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.450 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.451 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.454 * [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))))))) 1.454 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.454 * [backup-simplify]: Simplify (sqrt (- (hypot re im) re)) into (sqrt (- (hypot re im) re)) 1.454 * [approximate]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in (re im) around 0 1.454 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.454 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.454 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.455 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.455 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.455 * [taylor]: Taking taylor expansion of (* re re) in im 1.455 * [taylor]: Taking taylor expansion of re in im 1.455 * [backup-simplify]: Simplify re into re 1.455 * [taylor]: Taking taylor expansion of re in im 1.455 * [backup-simplify]: Simplify re into re 1.455 * [taylor]: Taking taylor expansion of (* im im) in im 1.455 * [taylor]: Taking taylor expansion of im in im 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [taylor]: Taking taylor expansion of im in im 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.455 * [backup-simplify]: Simplify (* 0 0) into 0 1.455 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.455 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.455 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.456 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.456 * [taylor]: Taking taylor expansion of re in im 1.456 * [backup-simplify]: Simplify re into re 1.456 * [backup-simplify]: Simplify (- re) into (- re) 1.456 * [backup-simplify]: Simplify (+ re (- re)) into 0 1.456 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.458 * [backup-simplify]: Simplify (+ 0 1) into 1 1.458 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 1.458 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.459 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.460 * [backup-simplify]: Simplify (- 0) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 1.460 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.460 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.460 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.460 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.460 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.460 * [taylor]: Taking taylor expansion of (* re re) in re 1.460 * [taylor]: Taking taylor expansion of re in re 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [taylor]: Taking taylor expansion of re in re 1.460 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [taylor]: Taking taylor expansion of (* im im) in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.461 * [backup-simplify]: Simplify im into im 1.461 * [taylor]: Taking taylor expansion of im in re 1.461 * [backup-simplify]: Simplify im into im 1.461 * [backup-simplify]: Simplify (* 0 0) into 0 1.461 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.461 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.461 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.461 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.461 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.462 * [taylor]: Taking taylor expansion of re in re 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ im 0) into im 1.462 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.462 * [backup-simplify]: Simplify (- 1) into -1 1.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.463 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 1.463 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.463 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.463 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.463 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.463 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.463 * [taylor]: Taking taylor expansion of (* re re) in re 1.463 * [taylor]: Taking taylor expansion of re in re 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [taylor]: Taking taylor expansion of re in re 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [taylor]: Taking taylor expansion of (* im im) in re 1.463 * [taylor]: Taking taylor expansion of im in re 1.463 * [backup-simplify]: Simplify im into im 1.463 * [taylor]: Taking taylor expansion of im in re 1.463 * [backup-simplify]: Simplify im into im 1.463 * [backup-simplify]: Simplify (* 0 0) into 0 1.463 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.463 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.463 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.464 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.464 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.464 * [taylor]: Taking taylor expansion of re in re 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (- 0) into 0 1.464 * [backup-simplify]: Simplify (+ im 0) into im 1.464 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.465 * [backup-simplify]: Simplify (- 1) into -1 1.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.465 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 1.465 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.465 * [taylor]: Taking taylor expansion of im in im 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (sqrt 0) into 0 1.466 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.466 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im 1.466 * [taylor]: Taking taylor expansion of -1/2 in im 1.466 * [backup-simplify]: Simplify -1/2 into -1/2 1.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.466 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.466 * [taylor]: Taking taylor expansion of im in im 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (/ 1 1) into 1 1.467 * [backup-simplify]: Simplify (sqrt 0) into 0 1.468 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.470 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.471 * [backup-simplify]: Simplify (+ (* -1/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.471 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.472 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.473 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.473 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (* im re)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (* re im)) (- (* +nan.0 (pow im 2))))))) 1.473 * [backup-simplify]: Simplify (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) into (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1.473 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 1.473 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.473 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.473 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.473 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.473 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.473 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.473 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.473 * [taylor]: Taking taylor expansion of re in im 1.473 * [backup-simplify]: Simplify re into re 1.473 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.473 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.473 * [taylor]: Taking taylor expansion of re in im 1.473 * [backup-simplify]: Simplify re into re 1.474 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.474 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.474 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.474 * [taylor]: Taking taylor expansion of im in im 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (/ 1 1) into 1 1.474 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.474 * [taylor]: Taking taylor expansion of im in im 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (/ 1 1) into 1 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.475 * [backup-simplify]: Simplify (+ 0 1) into 1 1.475 * [backup-simplify]: Simplify (sqrt 1) into 1 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.477 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.477 * [taylor]: Taking taylor expansion of re in im 1.477 * [backup-simplify]: Simplify re into re 1.477 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.477 * [backup-simplify]: Simplify (+ 1 0) into 1 1.477 * [backup-simplify]: Simplify (sqrt 0) into 0 1.478 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.478 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.478 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.478 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.478 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.478 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.478 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.478 * [taylor]: Taking taylor expansion of re in re 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.478 * [taylor]: Taking taylor expansion of re in re 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.479 * [taylor]: Taking taylor expansion of im in re 1.479 * [backup-simplify]: Simplify im into im 1.479 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.479 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.479 * [taylor]: Taking taylor expansion of im in re 1.479 * [backup-simplify]: Simplify im into im 1.479 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.479 * [backup-simplify]: Simplify (* 1 1) into 1 1.479 * [backup-simplify]: Simplify (+ 1 0) into 1 1.480 * [backup-simplify]: Simplify (sqrt 1) into 1 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.481 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.481 * [taylor]: Taking taylor expansion of re in re 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.482 * [backup-simplify]: Simplify (- 1) into -1 1.482 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.484 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.485 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.485 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.486 * [backup-simplify]: Simplify (sqrt 0) into 0 1.487 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.487 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.487 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.487 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.487 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.487 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.487 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.487 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.487 * [taylor]: Taking taylor expansion of re in re 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.487 * [taylor]: Taking taylor expansion of re in re 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.488 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.488 * [taylor]: Taking taylor expansion of im in re 1.488 * [backup-simplify]: Simplify im into im 1.488 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.488 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.488 * [taylor]: Taking taylor expansion of im in re 1.488 * [backup-simplify]: Simplify im into im 1.488 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.488 * [backup-simplify]: Simplify (* 1 1) into 1 1.488 * [backup-simplify]: Simplify (+ 1 0) into 1 1.488 * [backup-simplify]: Simplify (sqrt 1) into 1 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.490 * [taylor]: Taking taylor expansion of re in re 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [backup-simplify]: Simplify (- 1) into -1 1.491 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.493 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.493 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.494 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.495 * [backup-simplify]: Simplify (sqrt 0) into 0 1.496 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.496 * [taylor]: Taking taylor expansion of 0 in im 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.496 * [taylor]: Taking taylor expansion of +nan.0 in im 1.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.496 * [taylor]: Taking taylor expansion of im in im 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [backup-simplify]: Simplify (* 1 1) into 1 1.496 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 1.501 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.501 * [taylor]: Taking taylor expansion of +nan.0 in im 1.501 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.501 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.501 * [taylor]: Taking taylor expansion of im in im 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.513 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0 1.513 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (- 0) into 0 1.515 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 1.515 * [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)))))) 1.515 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.515 * [taylor]: Taking taylor expansion of +nan.0 in im 1.515 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.515 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.515 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.515 * [taylor]: Taking taylor expansion of 1/8 in im 1.516 * [backup-simplify]: Simplify 1/8 into 1/8 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.516 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.516 * [taylor]: Taking taylor expansion of im in im 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (* 1 1) into 1 1.516 * [backup-simplify]: Simplify (* 1 1) into 1 1.516 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.516 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.516 * [taylor]: Taking taylor expansion of +nan.0 in im 1.516 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.516 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.516 * [taylor]: Taking taylor expansion of im in im 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (/ 1 1) into 1 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.533 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.533 * [backup-simplify]: Simplify (- 0) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 1.535 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (- 0) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.537 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 1.538 * [backup-simplify]: Simplify (- 0) into 0 1.538 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.538 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.538 * [backup-simplify]: Simplify (- 0) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.539 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.540 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.540 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) into (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) 1.541 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 1.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.541 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.541 * [taylor]: Taking taylor expansion of re in im 1.541 * [backup-simplify]: Simplify re into re 1.541 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.541 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.541 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.541 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.541 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.541 * [taylor]: Taking taylor expansion of -1 in im 1.541 * [backup-simplify]: Simplify -1 into -1 1.541 * [taylor]: Taking taylor expansion of re in im 1.541 * [backup-simplify]: Simplify re into re 1.541 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.541 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.541 * [taylor]: Taking taylor expansion of -1 in im 1.541 * [backup-simplify]: Simplify -1 into -1 1.541 * [taylor]: Taking taylor expansion of re in im 1.541 * [backup-simplify]: Simplify re into re 1.541 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.541 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.541 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.541 * [taylor]: Taking taylor expansion of -1 in im 1.541 * [backup-simplify]: Simplify -1 into -1 1.541 * [taylor]: Taking taylor expansion of im in im 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (/ -1 1) into -1 1.542 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.542 * [taylor]: Taking taylor expansion of -1 in im 1.542 * [backup-simplify]: Simplify -1 into -1 1.542 * [taylor]: Taking taylor expansion of im in im 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (/ -1 1) into -1 1.542 * [backup-simplify]: Simplify (* -1 -1) into 1 1.542 * [backup-simplify]: Simplify (+ 0 1) into 1 1.543 * [backup-simplify]: Simplify (sqrt 1) into 1 1.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.545 * [backup-simplify]: Simplify (+ 0 1) into 1 1.545 * [backup-simplify]: Simplify (sqrt 0) into 0 1.546 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.546 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.546 * [taylor]: Taking taylor expansion of re in re 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.546 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.546 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.546 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.546 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.546 * [taylor]: Taking taylor expansion of -1 in re 1.546 * [backup-simplify]: Simplify -1 into -1 1.546 * [taylor]: Taking taylor expansion of re in re 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ -1 1) into -1 1.547 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [backup-simplify]: Simplify -1 into -1 1.547 * [taylor]: Taking taylor expansion of re in re 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ -1 1) into -1 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [backup-simplify]: Simplify -1 into -1 1.547 * [taylor]: Taking taylor expansion of im in re 1.547 * [backup-simplify]: Simplify im into im 1.547 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [backup-simplify]: Simplify -1 into -1 1.547 * [taylor]: Taking taylor expansion of im in re 1.547 * [backup-simplify]: Simplify im into im 1.547 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.547 * [backup-simplify]: Simplify (* -1 -1) into 1 1.548 * [backup-simplify]: Simplify (+ 1 0) into 1 1.548 * [backup-simplify]: Simplify (sqrt 1) into 1 1.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.550 * [backup-simplify]: Simplify (+ 1 1) into 2 1.550 * [backup-simplify]: Simplify (sqrt 0) into 0 1.551 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (/ 1 1) into 1 1.551 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.551 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.551 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.551 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.551 * [taylor]: Taking taylor expansion of -1 in re 1.551 * [backup-simplify]: Simplify -1 into -1 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (/ -1 1) into -1 1.552 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.552 * [taylor]: Taking taylor expansion of -1 in re 1.552 * [backup-simplify]: Simplify -1 into -1 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (/ -1 1) into -1 1.552 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.552 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.552 * [taylor]: Taking taylor expansion of -1 in re 1.552 * [backup-simplify]: Simplify -1 into -1 1.552 * [taylor]: Taking taylor expansion of im in re 1.552 * [backup-simplify]: Simplify im into im 1.552 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.552 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.552 * [taylor]: Taking taylor expansion of -1 in re 1.552 * [backup-simplify]: Simplify -1 into -1 1.552 * [taylor]: Taking taylor expansion of im in re 1.552 * [backup-simplify]: Simplify im into im 1.552 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.553 * [backup-simplify]: Simplify (* -1 -1) into 1 1.553 * [backup-simplify]: Simplify (+ 1 0) into 1 1.553 * [backup-simplify]: Simplify (sqrt 1) into 1 1.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.555 * [backup-simplify]: Simplify (+ 1 1) into 2 1.555 * [backup-simplify]: Simplify (sqrt 0) into 0 1.556 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.556 * [taylor]: Taking taylor expansion of 0 in im 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [taylor]: Taking taylor expansion of +nan.0 in im 1.556 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.556 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.559 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.559 * [taylor]: Taking taylor expansion of +nan.0 in im 1.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.561 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.561 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.562 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.562 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.563 * [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)) 1.563 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.563 * [taylor]: Taking taylor expansion of +nan.0 in im 1.563 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.563 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.563 * [taylor]: Taking taylor expansion of 1/2 in im 1.563 * [backup-simplify]: Simplify 1/2 into 1/2 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.563 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.563 * [taylor]: Taking taylor expansion of im in im 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.564 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [taylor]: Taking taylor expansion of +nan.0 in im 1.564 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.566 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.566 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.568 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.569 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [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))) 1.570 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.570 * [taylor]: Taking taylor expansion of +nan.0 in im 1.570 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.570 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.570 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.570 * [taylor]: Taking taylor expansion of +nan.0 in im 1.570 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.570 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.570 * [taylor]: Taking taylor expansion of im in im 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.571 * [backup-simplify]: Simplify (* 1 1) into 1 1.571 * [backup-simplify]: Simplify (/ 1 1) into 1 1.571 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.571 * [taylor]: Taking taylor expansion of +nan.0 in im 1.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.573 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.573 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.575 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.575 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.577 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.577 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.577 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.578 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 1.578 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 1.578 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.578 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.578 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.578 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.578 * [taylor]: Taking taylor expansion of (* re re) in im 1.578 * [taylor]: Taking taylor expansion of re in im 1.578 * [backup-simplify]: Simplify re into re 1.578 * [taylor]: Taking taylor expansion of re in im 1.578 * [backup-simplify]: Simplify re into re 1.578 * [taylor]: Taking taylor expansion of (* im im) in im 1.578 * [taylor]: Taking taylor expansion of im in im 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [taylor]: Taking taylor expansion of im in im 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.578 * [backup-simplify]: Simplify (* 0 0) into 0 1.578 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.578 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.578 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.579 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.579 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.579 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.579 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.579 * [taylor]: Taking taylor expansion of (* re re) in re 1.579 * [taylor]: Taking taylor expansion of re in re 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [taylor]: Taking taylor expansion of re in re 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [taylor]: Taking taylor expansion of (* im im) in re 1.579 * [taylor]: Taking taylor expansion of im in re 1.579 * [backup-simplify]: Simplify im into im 1.579 * [taylor]: Taking taylor expansion of im in re 1.579 * [backup-simplify]: Simplify im into im 1.580 * [backup-simplify]: Simplify (* 0 0) into 0 1.580 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.580 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.580 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.580 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.580 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.581 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.581 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.581 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.581 * [taylor]: Taking taylor expansion of (* re re) in re 1.581 * [taylor]: Taking taylor expansion of re in re 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [taylor]: Taking taylor expansion of re in re 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [taylor]: Taking taylor expansion of (* im im) in re 1.581 * [taylor]: Taking taylor expansion of im in re 1.581 * [backup-simplify]: Simplify im into im 1.581 * [taylor]: Taking taylor expansion of im in re 1.581 * [backup-simplify]: Simplify im into im 1.581 * [backup-simplify]: Simplify (* 0 0) into 0 1.581 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.581 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.581 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.582 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.582 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.582 * [taylor]: Taking taylor expansion of im in im 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [taylor]: Taking taylor expansion of 0 in im 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.583 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.583 * [backup-simplify]: Simplify (+ 1 0) into 1 1.584 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.584 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.584 * [taylor]: Taking taylor expansion of 1/2 in im 1.584 * [backup-simplify]: Simplify 1/2 into 1/2 1.584 * [taylor]: Taking taylor expansion of im in im 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.586 * [taylor]: Taking taylor expansion of 0 in im 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.587 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 1.587 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.587 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.587 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.587 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.587 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.587 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.587 * [taylor]: Taking taylor expansion of re in im 1.587 * [backup-simplify]: Simplify re into re 1.587 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.587 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.587 * [taylor]: Taking taylor expansion of re in im 1.587 * [backup-simplify]: Simplify re into re 1.587 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.587 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.587 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.587 * [taylor]: Taking taylor expansion of im in im 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (/ 1 1) into 1 1.587 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.587 * [taylor]: Taking taylor expansion of im in im 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [backup-simplify]: Simplify (* 1 1) into 1 1.588 * [backup-simplify]: Simplify (+ 0 1) into 1 1.588 * [backup-simplify]: Simplify (sqrt 1) into 1 1.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.590 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.590 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.590 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.590 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.590 * [taylor]: Taking taylor expansion of re in re 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (/ 1 1) into 1 1.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.590 * [taylor]: Taking taylor expansion of re in re 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (/ 1 1) into 1 1.591 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.591 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.591 * [taylor]: Taking taylor expansion of im in re 1.591 * [backup-simplify]: Simplify im into im 1.591 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.591 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.591 * [taylor]: Taking taylor expansion of im in re 1.591 * [backup-simplify]: Simplify im into im 1.591 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.591 * [backup-simplify]: Simplify (* 1 1) into 1 1.591 * [backup-simplify]: Simplify (+ 1 0) into 1 1.592 * [backup-simplify]: Simplify (sqrt 1) into 1 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.593 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.593 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.593 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.593 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.593 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.593 * [taylor]: Taking taylor expansion of re in re 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.594 * [taylor]: Taking taylor expansion of re in re 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.594 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.594 * [taylor]: Taking taylor expansion of im in re 1.594 * [backup-simplify]: Simplify im into im 1.594 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.594 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.594 * [taylor]: Taking taylor expansion of im in re 1.594 * [backup-simplify]: Simplify im into im 1.594 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.594 * [backup-simplify]: Simplify (* 1 1) into 1 1.595 * [backup-simplify]: Simplify (+ 1 0) into 1 1.595 * [backup-simplify]: Simplify (sqrt 1) into 1 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.600 * [taylor]: Taking taylor expansion of 1 in im 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [taylor]: Taking taylor expansion of 0 in im 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.601 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.601 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.602 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.602 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.602 * [taylor]: Taking taylor expansion of 1/2 in im 1.602 * [backup-simplify]: Simplify 1/2 into 1/2 1.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.602 * [taylor]: Taking taylor expansion of im in im 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (* 1 1) into 1 1.603 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.605 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.606 * [taylor]: Taking taylor expansion of 0 in im 1.606 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.607 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 1.607 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.607 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.608 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.608 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.608 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.608 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.608 * [taylor]: Taking taylor expansion of -1 in im 1.608 * [backup-simplify]: Simplify -1 into -1 1.608 * [taylor]: Taking taylor expansion of re in im 1.608 * [backup-simplify]: Simplify re into re 1.608 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.608 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.608 * [taylor]: Taking taylor expansion of -1 in im 1.608 * [backup-simplify]: Simplify -1 into -1 1.608 * [taylor]: Taking taylor expansion of re in im 1.608 * [backup-simplify]: Simplify re into re 1.608 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.608 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.608 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.608 * [taylor]: Taking taylor expansion of -1 in im 1.608 * [backup-simplify]: Simplify -1 into -1 1.608 * [taylor]: Taking taylor expansion of im in im 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (/ -1 1) into -1 1.608 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.608 * [taylor]: Taking taylor expansion of -1 in im 1.608 * [backup-simplify]: Simplify -1 into -1 1.608 * [taylor]: Taking taylor expansion of im in im 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (/ -1 1) into -1 1.609 * [backup-simplify]: Simplify (* -1 -1) into 1 1.609 * [backup-simplify]: Simplify (+ 0 1) into 1 1.609 * [backup-simplify]: Simplify (sqrt 1) into 1 1.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.611 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.611 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.611 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.611 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.611 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.611 * [taylor]: Taking taylor expansion of -1 in re 1.611 * [backup-simplify]: Simplify -1 into -1 1.611 * [taylor]: Taking taylor expansion of re in re 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (/ -1 1) into -1 1.612 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.612 * [taylor]: Taking taylor expansion of -1 in re 1.612 * [backup-simplify]: Simplify -1 into -1 1.612 * [taylor]: Taking taylor expansion of re in re 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (/ -1 1) into -1 1.612 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.612 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.612 * [taylor]: Taking taylor expansion of -1 in re 1.612 * [backup-simplify]: Simplify -1 into -1 1.612 * [taylor]: Taking taylor expansion of im in re 1.612 * [backup-simplify]: Simplify im into im 1.612 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.612 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.612 * [taylor]: Taking taylor expansion of -1 in re 1.612 * [backup-simplify]: Simplify -1 into -1 1.612 * [taylor]: Taking taylor expansion of im in re 1.612 * [backup-simplify]: Simplify im into im 1.612 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.612 * [backup-simplify]: Simplify (* -1 -1) into 1 1.613 * [backup-simplify]: Simplify (+ 1 0) into 1 1.613 * [backup-simplify]: Simplify (sqrt 1) into 1 1.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.615 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.615 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.615 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.615 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.615 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.615 * [taylor]: Taking taylor expansion of -1 in re 1.615 * [backup-simplify]: Simplify -1 into -1 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (/ -1 1) into -1 1.615 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.615 * [taylor]: Taking taylor expansion of -1 in re 1.615 * [backup-simplify]: Simplify -1 into -1 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (/ -1 1) into -1 1.616 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.616 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.616 * [taylor]: Taking taylor expansion of -1 in re 1.616 * [backup-simplify]: Simplify -1 into -1 1.616 * [taylor]: Taking taylor expansion of im in re 1.616 * [backup-simplify]: Simplify im into im 1.616 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.616 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.616 * [taylor]: Taking taylor expansion of -1 in re 1.616 * [backup-simplify]: Simplify -1 into -1 1.616 * [taylor]: Taking taylor expansion of im in re 1.616 * [backup-simplify]: Simplify im into im 1.616 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.616 * [backup-simplify]: Simplify (* -1 -1) into 1 1.617 * [backup-simplify]: Simplify (+ 1 0) into 1 1.617 * [backup-simplify]: Simplify (sqrt 1) into 1 1.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.619 * [taylor]: Taking taylor expansion of 1 in im 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [taylor]: Taking taylor expansion of 0 in im 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.620 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.621 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.621 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.621 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.621 * [taylor]: Taking taylor expansion of 1/2 in im 1.621 * [backup-simplify]: Simplify 1/2 into 1/2 1.621 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.621 * [taylor]: Taking taylor expansion of im in im 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (* 1 1) into 1 1.622 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.624 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.625 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.625 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.625 * [taylor]: Taking taylor expansion of 0 in im 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.627 * * * [progress]: simplifying candidates 1.628 * [simplify]: Simplifying: (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (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 (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (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 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* 2.0 (- (hypot re im) re)) (+ (log (sqrt 2.0)) (log (sqrt (- (hypot re im) re)))) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (exp (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) (/ 1 2) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) 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)) (- 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))))))) (- (+ (* +nan.0 im) (- (+ (* +nan.0 (* re im)) (- (* +nan.0 (pow im 2))))))) 0 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) im re (* -1 re) 1.628 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma (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 (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (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 (- (hypot h0 h1) h0)) (log1p (- (hypot h0 h1) h0)) (- h0) (- h0) (- h0) (/ (exp (hypot h0 h1)) (exp h0)) (log (- (hypot h0 h1) h0)) (exp (- (hypot h0 h1) h0)) (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0))) (cbrt (- (hypot h0 h1) h0)) (* (* (- (hypot h0 h1) h0) (- (hypot h0 h1) h0)) (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (- (pow (hypot h0 h1) 3) (pow h0 3)) (+ (* (hypot h0 h1) (hypot h0 h1)) (+ (* h0 h0) (* (hypot h0 h1) h0))) (- h0) (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0)) (+ (hypot h0 h1) h0) (+ (sqrt (hypot h0 h1)) (sqrt h0)) (- (sqrt (hypot h0 h1)) (sqrt h0)) (- (hypot h0 h1) h0) (- h0) (expm1 (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (log1p (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (* h2 (- (hypot h0 h1) h0)) (* (sqrt h2) (sqrt (- (hypot h0 h1) h0))) (* h2 (- (hypot h0 h1) h0)) (+ (log (sqrt h2)) (log (sqrt (- (hypot h0 h1) h0)))) (log (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (exp (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (* (* (* (sqrt h2) (sqrt h2)) (sqrt h2)) (* (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (sqrt (- (hypot h0 h1) h0)))) (* (cbrt (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (cbrt (* (sqrt h2) (sqrt (- (hypot h0 h1) h0))))) (cbrt (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (* (* (* (sqrt h2) (sqrt (- (hypot h0 h1) h0))) (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (* h2 (- (hypot h0 h1) h0)) (sqrt (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (sqrt (* (sqrt h2) (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt h2)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt h2)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt h2)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt h2)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt h2)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt h2)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt h2)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt h2)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt h2) (* (cbrt (sqrt (- (hypot h0 h1) h0))) (cbrt (sqrt (- (hypot h0 h1) h0))))) (* (sqrt h2) (sqrt (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0))))) (* (sqrt h2) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt h2) (sqrt 1)) (* (sqrt h2) (sqrt (+ (sqrt (hypot h0 h1)) (sqrt h0)))) (* (sqrt h2) (sqrt 1)) (* (sqrt h2) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt h2) 1) (* (cbrt (sqrt h2)) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (cbrt h2)) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (sqrt h2)) (sqrt (- (hypot h0 h1) h0))) (* (sqrt h2) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (sqrt h2)) (sqrt (- (hypot h0 h1) h0))) (* (sqrt h2) (sqrt (- (hypot h0 h1) h0))) (* (sqrt h2) (sqrt (- (pow (hypot h0 h1) 3) (pow h0 3)))) (* (sqrt h2) (sqrt (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0)))) (expm1 (sqrt (- (hypot h0 h1) h0))) (log1p (sqrt (- (hypot h0 h1) h0))) (log (sqrt (- (hypot h0 h1) h0))) (exp (sqrt (- (hypot h0 h1) h0))) (* (cbrt (sqrt (- (hypot h0 h1) h0))) (cbrt (sqrt (- (hypot h0 h1) h0)))) (cbrt (sqrt (- (hypot h0 h1) h0))) (* (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (sqrt (- (hypot h0 h1) h0))) (sqrt (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0)))) (sqrt (cbrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt 1) (sqrt (- (hypot h0 h1) h0)) (sqrt (+ (sqrt (hypot h0 h1)) (sqrt h0))) (sqrt (- (sqrt (hypot h0 h1)) (sqrt h0))) (sqrt 1) (sqrt (- (hypot h0 h1) h0)) (sqrt (- (pow (hypot h0 h1) 3) (pow h0 3))) (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (+ (* h0 h0) (* (hypot h0 h1) h0)))) (sqrt (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0))) (sqrt (+ (hypot h0 h1) h0)) (/ 1 2) (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) 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)) (- h1 h0) 0 (* -2 h0) (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h1)) (- (* h3 (* (sqrt h2) (* h1 h0)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (* h3 (/ (sqrt h2) h0))))))) (- (+ (* h3 h1) (- (+ (* h3 (* h0 h1)) (- (* h3 (pow h1 2))))))) 0 (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- h3))))) h1 h0 (* -1 h0) 1.633 * * [simplify]: iteration 0 : 348 enodes (cost 614 ) 1.639 * * [simplify]: iteration 1 : 1286 enodes (cost 509 ) 1.665 * * [simplify]: iteration 2 : 5002 enodes (cost 488 ) 1.668 * * * [progress]: adding candidates to table 1.897 * * [progress]: iteration 4 / 4 1.897 * * * [progress]: picking best candidate 1.915 * * * * [pick]: Picked # 1.915 * * * [progress]: localizing error 1.928 * * * [progress]: generating rewritten candidates 1.928 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.934 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.940 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.978 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.010 * * * [progress]: generating series expansions 2.010 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.010 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re) 2.010 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.010 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.010 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.011 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.011 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.011 * [taylor]: Taking taylor expansion of (* re re) in im 2.011 * [taylor]: Taking taylor expansion of re in im 2.011 * [backup-simplify]: Simplify re into re 2.011 * [taylor]: Taking taylor expansion of re in im 2.011 * [backup-simplify]: Simplify re into re 2.011 * [taylor]: Taking taylor expansion of (* im im) in im 2.011 * [taylor]: Taking taylor expansion of im in im 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [taylor]: Taking taylor expansion of im in im 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.011 * [backup-simplify]: Simplify (* 0 0) into 0 2.011 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.011 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.011 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.012 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.012 * [taylor]: Taking taylor expansion of re in im 2.012 * [backup-simplify]: Simplify re into re 2.012 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.012 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.012 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.012 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.012 * [taylor]: Taking taylor expansion of (* re 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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re 2.012 * [taylor]: Taking taylor expansion of im in re 2.012 * [backup-simplify]: Simplify im into im 2.012 * [taylor]: Taking taylor expansion of im in re 2.012 * [backup-simplify]: Simplify im into im 2.013 * [backup-simplify]: Simplify (* 0 0) into 0 2.013 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.013 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.013 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.013 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.013 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.014 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.014 * [taylor]: Taking taylor expansion of re in re 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.014 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.014 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.014 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.014 * [taylor]: Taking taylor expansion of (* re re) in re 2.014 * [taylor]: Taking taylor expansion of re in re 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of re in re 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of (* im im) in re 2.014 * [taylor]: Taking taylor expansion of im in re 2.014 * [backup-simplify]: Simplify im into im 2.014 * [taylor]: Taking taylor expansion of im in re 2.014 * [backup-simplify]: Simplify im into im 2.014 * [backup-simplify]: Simplify (* 0 0) into 0 2.014 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.014 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.014 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.015 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.015 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.015 * [taylor]: Taking taylor expansion of re in re 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (- 0) into 0 2.016 * [backup-simplify]: Simplify (+ im 0) into im 2.016 * [taylor]: Taking taylor expansion of im in im 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (- 1) into -1 2.016 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.016 * [taylor]: Taking taylor expansion of -1 in im 2.016 * [backup-simplify]: Simplify -1 into -1 2.016 * [backup-simplify]: Simplify -1 into -1 2.016 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.017 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.017 * [backup-simplify]: Simplify (+ 1 0) into 1 2.018 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.018 * [backup-simplify]: Simplify (- 0) into 0 2.018 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.018 * [taylor]: Taking taylor expansion of 1/2 in im 2.018 * [backup-simplify]: Simplify 1/2 into 1/2 2.018 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.018 * [taylor]: Taking taylor expansion of im in im 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (/ 1 1) into 1 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [taylor]: Taking taylor expansion of 0 in im 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.023 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.023 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.023 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.023 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.023 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.023 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.023 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [backup-simplify]: Simplify re into re 2.023 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.023 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [backup-simplify]: Simplify re into re 2.023 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.023 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.023 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (/ 1 1) into 1 2.023 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (+ 0 1) into 1 2.024 * [backup-simplify]: Simplify (sqrt 1) into 1 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.026 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.026 * [taylor]: Taking taylor expansion of re in im 2.026 * [backup-simplify]: Simplify re into re 2.026 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.026 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.026 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.026 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.026 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.026 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.026 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.026 * [taylor]: Taking taylor expansion of re in re 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.027 * [taylor]: Taking taylor expansion of re in re 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.027 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.027 * [taylor]: Taking taylor expansion of im in re 2.027 * [backup-simplify]: Simplify im into im 2.027 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.027 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.027 * [taylor]: Taking taylor expansion of im in re 2.027 * [backup-simplify]: Simplify im into im 2.027 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.027 * [backup-simplify]: Simplify (* 1 1) into 1 2.028 * [backup-simplify]: Simplify (+ 1 0) into 1 2.028 * [backup-simplify]: Simplify (sqrt 1) into 1 2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.030 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.030 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.030 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.030 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.030 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [taylor]: Taking taylor expansion of (/ 1 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 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.031 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.031 * [taylor]: Taking taylor expansion of im in re 2.031 * [backup-simplify]: Simplify im into im 2.031 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.031 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.031 * [taylor]: Taking taylor expansion of im in re 2.031 * [backup-simplify]: Simplify im into im 2.031 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (+ 1 0) into 1 2.031 * [backup-simplify]: Simplify (sqrt 1) into 1 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [backup-simplify]: Simplify (- 1) into -1 2.034 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.034 * [taylor]: Taking taylor expansion of 0 in im 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (- 0) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [taylor]: Taking taylor expansion of 0 in im 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.037 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.037 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.038 * [taylor]: Taking taylor expansion of 1/2 in im 2.038 * [backup-simplify]: Simplify 1/2 into 1/2 2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.038 * [taylor]: Taking taylor expansion of (pow im 2) 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 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.042 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (- 0) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [taylor]: Taking taylor expansion of 0 in im 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 2.045 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.045 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.045 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.045 * [taylor]: Taking taylor expansion of re in im 2.045 * [backup-simplify]: Simplify re into re 2.045 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.045 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 2.045 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.045 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.045 * [taylor]: Taking taylor expansion of -1 in im 2.045 * [backup-simplify]: Simplify -1 into -1 2.045 * [taylor]: Taking taylor expansion of re in im 2.045 * [backup-simplify]: Simplify re into re 2.045 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.045 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.045 * [taylor]: Taking taylor expansion of -1 in im 2.045 * [backup-simplify]: Simplify -1 into -1 2.045 * [taylor]: Taking taylor expansion of re in im 2.045 * [backup-simplify]: Simplify re into re 2.045 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.045 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.045 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.045 * [taylor]: Taking taylor expansion of -1 in im 2.045 * [backup-simplify]: Simplify -1 into -1 2.045 * [taylor]: Taking taylor expansion of im in im 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) in im 2.046 * [taylor]: Taking taylor expansion of -1 in im 2.046 * [backup-simplify]: Simplify -1 into -1 2.046 * [taylor]: Taking taylor expansion of im in im 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (/ -1 1) into -1 2.046 * [backup-simplify]: Simplify (* -1 -1) into 1 2.047 * [backup-simplify]: Simplify (+ 0 1) into 1 2.047 * [backup-simplify]: Simplify (sqrt 1) into 1 2.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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 2.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.049 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (/ 1 1) into 1 2.049 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.049 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.049 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.049 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.049 * [taylor]: Taking taylor expansion of -1 in re 2.049 * [backup-simplify]: Simplify -1 into -1 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (/ -1 1) into -1 2.049 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.049 * [taylor]: Taking taylor expansion of -1 in re 2.049 * [backup-simplify]: Simplify -1 into -1 2.050 * [taylor]: Taking taylor expansion of re in re 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (/ -1 1) into -1 2.050 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.050 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.050 * [taylor]: Taking taylor expansion of -1 in re 2.050 * [backup-simplify]: Simplify -1 into -1 2.050 * [taylor]: Taking taylor expansion of im in re 2.050 * [backup-simplify]: Simplify im into im 2.050 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.050 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.050 * [taylor]: Taking taylor expansion of -1 in re 2.050 * [backup-simplify]: Simplify -1 into -1 2.050 * [taylor]: Taking taylor expansion of im in re 2.050 * [backup-simplify]: Simplify im into im 2.050 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.050 * [backup-simplify]: Simplify (* -1 -1) into 1 2.051 * [backup-simplify]: Simplify (+ 1 0) into 1 2.051 * [backup-simplify]: Simplify (sqrt 1) into 1 2.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.053 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.053 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (/ 1 1) into 1 2.053 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.053 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.053 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [backup-simplify]: Simplify -1 into -1 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (/ -1 1) into -1 2.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.054 * [backup-simplify]: Simplify -1 into -1 2.054 * [taylor]: Taking taylor expansion of re in re 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (/ -1 1) into -1 2.054 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.054 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.054 * [taylor]: Taking taylor expansion of -1 in re 2.054 * [backup-simplify]: Simplify -1 into -1 2.054 * [taylor]: Taking taylor expansion of im in re 2.054 * [backup-simplify]: Simplify im into im 2.054 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.054 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.054 * [taylor]: Taking taylor expansion of -1 in re 2.054 * [backup-simplify]: Simplify -1 into -1 2.054 * [taylor]: Taking taylor expansion of im in re 2.054 * [backup-simplify]: Simplify im into im 2.054 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.054 * [backup-simplify]: Simplify (* -1 -1) into 1 2.054 * [backup-simplify]: Simplify (+ 1 0) into 1 2.055 * [backup-simplify]: Simplify (sqrt 1) into 1 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.057 * [backup-simplify]: Simplify (+ 1 1) into 2 2.057 * [taylor]: Taking taylor expansion of 2 in im 2.057 * [backup-simplify]: Simplify 2 into 2 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [taylor]: Taking taylor expansion of 0 in im 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 2 into 2 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.060 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.060 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.061 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.061 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.061 * [taylor]: Taking taylor expansion of 1/2 in im 2.061 * [backup-simplify]: Simplify 1/2 into 1/2 2.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.061 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.061 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [taylor]: Taking taylor expansion of 0 in im 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.070 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 2.071 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re) 2.071 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.071 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.071 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.071 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.071 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.071 * [taylor]: Taking taylor expansion of (* re re) in im 2.071 * [taylor]: Taking taylor expansion of re in im 2.071 * [backup-simplify]: Simplify re into re 2.071 * [taylor]: Taking taylor expansion of re in im 2.071 * [backup-simplify]: Simplify re into re 2.071 * [taylor]: Taking taylor expansion of (* im im) in im 2.071 * [taylor]: Taking taylor expansion of im in im 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [taylor]: Taking taylor expansion of im in im 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.071 * [backup-simplify]: Simplify (* 0 0) into 0 2.071 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.071 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.071 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.072 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.072 * [taylor]: Taking taylor expansion of re in im 2.072 * [backup-simplify]: Simplify re into re 2.072 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.072 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.072 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.072 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.072 * [taylor]: Taking taylor expansion of (* re re) in re 2.072 * [taylor]: Taking taylor expansion of re in re 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of re in re 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of (* im im) in re 2.072 * [taylor]: Taking taylor expansion of im in re 2.072 * [backup-simplify]: Simplify im into im 2.072 * [taylor]: Taking taylor expansion of im in re 2.072 * [backup-simplify]: Simplify im into im 2.073 * [backup-simplify]: Simplify (* 0 0) into 0 2.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.073 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.073 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.073 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.073 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.074 * [taylor]: Taking taylor expansion of re in re 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.074 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.074 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.074 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.074 * [taylor]: Taking taylor expansion of (* re re) in re 2.074 * [taylor]: Taking taylor expansion of re in re 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [taylor]: Taking taylor expansion of re in re 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [taylor]: Taking taylor expansion of (* im im) in re 2.074 * [taylor]: Taking taylor expansion of im in re 2.074 * [backup-simplify]: Simplify im into im 2.074 * [taylor]: Taking taylor expansion of im in re 2.074 * [backup-simplify]: Simplify im into im 2.074 * [backup-simplify]: Simplify (* 0 0) into 0 2.074 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.075 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.075 * [taylor]: Taking taylor expansion of re in re 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ im 0) into im 2.076 * [taylor]: Taking taylor expansion of im in im 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (- 1) into -1 2.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.076 * [taylor]: Taking taylor expansion of -1 in im 2.076 * [backup-simplify]: Simplify -1 into -1 2.076 * [backup-simplify]: Simplify -1 into -1 2.076 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.077 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.077 * [backup-simplify]: Simplify (+ 1 0) into 1 2.078 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.078 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.078 * [taylor]: Taking taylor expansion of 1/2 in im 2.078 * [backup-simplify]: Simplify 1/2 into 1/2 2.078 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.078 * [taylor]: Taking taylor expansion of im in im 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.081 * [backup-simplify]: Simplify (- 0) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [taylor]: Taking taylor expansion of 0 in im 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.082 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.082 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.082 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.082 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.082 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.082 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.082 * [taylor]: Taking taylor expansion of re in im 2.082 * [backup-simplify]: Simplify re into re 2.082 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.082 * [taylor]: Taking taylor expansion of re in im 2.082 * [backup-simplify]: Simplify re into re 2.082 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.083 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.083 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.083 * [taylor]: Taking taylor expansion of im in im 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.083 * [taylor]: Taking taylor expansion of im in im 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [backup-simplify]: Simplify (* 1 1) into 1 2.084 * [backup-simplify]: Simplify (+ 0 1) into 1 2.084 * [backup-simplify]: Simplify (sqrt 1) into 1 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.086 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.086 * [taylor]: Taking taylor expansion of re in im 2.086 * [backup-simplify]: Simplify re into re 2.086 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.086 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.086 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.086 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.086 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.086 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.086 * [taylor]: Taking taylor expansion of re in re 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.086 * [taylor]: Taking taylor expansion of re in re 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.086 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.087 * [taylor]: Taking taylor expansion of im in re 2.087 * [backup-simplify]: Simplify im into im 2.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.087 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.087 * [taylor]: Taking taylor expansion of im in re 2.087 * [backup-simplify]: Simplify im into im 2.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.087 * [backup-simplify]: Simplify (* 1 1) into 1 2.087 * [backup-simplify]: Simplify (+ 1 0) into 1 2.087 * [backup-simplify]: Simplify (sqrt 1) into 1 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.089 * [taylor]: Taking taylor expansion of re in re 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.089 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.089 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.090 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.090 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.090 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.090 * [taylor]: Taking taylor expansion of re in re 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.090 * [taylor]: Taking taylor expansion of re in re 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.090 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.090 * [taylor]: Taking taylor expansion of im in re 2.090 * [backup-simplify]: Simplify im into im 2.090 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.090 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.090 * [taylor]: Taking taylor expansion of im in re 2.090 * [backup-simplify]: Simplify im into im 2.090 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.090 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (+ 1 0) into 1 2.091 * [backup-simplify]: Simplify (sqrt 1) into 1 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.093 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.093 * [taylor]: Taking taylor expansion of re in re 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [backup-simplify]: Simplify (- 1) into -1 2.093 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.094 * [taylor]: Taking taylor expansion of 0 in im 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [taylor]: Taking taylor expansion of 0 in im 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.096 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.096 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.097 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.098 * [taylor]: Taking taylor expansion of 1/2 in im 2.098 * [backup-simplify]: Simplify 1/2 into 1/2 2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.098 * [taylor]: Taking taylor expansion of im in im 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (* 1 1) into 1 2.098 * [backup-simplify]: Simplify (/ 1 1) into 1 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.101 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (- 0) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [taylor]: Taking taylor expansion of 0 in im 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 2.104 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.104 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.104 * [taylor]: Taking taylor expansion of re in im 2.104 * [backup-simplify]: Simplify re into re 2.105 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.105 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.105 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.105 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.105 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.105 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.105 * [taylor]: Taking taylor expansion of -1 in im 2.105 * [backup-simplify]: Simplify -1 into -1 2.105 * [taylor]: Taking taylor expansion of re in im 2.105 * [backup-simplify]: Simplify re into re 2.105 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.105 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.105 * [taylor]: Taking taylor expansion of -1 in im 2.105 * [backup-simplify]: Simplify -1 into -1 2.105 * [taylor]: Taking taylor expansion of re in im 2.105 * [backup-simplify]: Simplify re into re 2.105 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.105 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.105 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.105 * [taylor]: Taking taylor expansion of -1 in im 2.105 * [backup-simplify]: Simplify -1 into -1 2.105 * [taylor]: Taking taylor expansion of im in im 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (/ -1 1) into -1 2.105 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.105 * [taylor]: Taking taylor expansion of -1 in im 2.105 * [backup-simplify]: Simplify -1 into -1 2.105 * [taylor]: Taking taylor expansion of im in im 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (/ -1 1) into -1 2.106 * [backup-simplify]: Simplify (* -1 -1) into 1 2.106 * [backup-simplify]: Simplify (+ 0 1) into 1 2.106 * [backup-simplify]: Simplify (sqrt 1) into 1 2.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.108 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.108 * [taylor]: Taking taylor expansion of re in re 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.109 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.109 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.109 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.109 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.109 * [taylor]: Taking taylor expansion of -1 in re 2.109 * [backup-simplify]: Simplify -1 into -1 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (/ -1 1) into -1 2.109 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.109 * [taylor]: Taking taylor expansion of -1 in re 2.109 * [backup-simplify]: Simplify -1 into -1 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (/ -1 1) into -1 2.109 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.109 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.109 * [taylor]: Taking taylor expansion of -1 in re 2.109 * [backup-simplify]: Simplify -1 into -1 2.109 * [taylor]: Taking taylor expansion of im in re 2.109 * [backup-simplify]: Simplify im into im 2.109 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.109 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.109 * [taylor]: Taking taylor expansion of -1 in re 2.109 * [backup-simplify]: Simplify -1 into -1 2.110 * [taylor]: Taking taylor expansion of im in re 2.110 * [backup-simplify]: Simplify im into im 2.110 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.110 * [backup-simplify]: Simplify (* -1 -1) into 1 2.110 * [backup-simplify]: Simplify (+ 1 0) into 1 2.110 * [backup-simplify]: Simplify (sqrt 1) into 1 2.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.112 * [backup-simplify]: Simplify (+ 0 0) into 0 2.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.112 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.112 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.112 * [taylor]: Taking taylor expansion of re in re 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.112 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.113 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.113 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.113 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.113 * [taylor]: Taking taylor expansion of -1 in re 2.113 * [backup-simplify]: Simplify -1 into -1 2.113 * [taylor]: Taking taylor expansion of re in re 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ -1 1) into -1 2.113 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.113 * [taylor]: Taking taylor expansion of -1 in re 2.113 * [backup-simplify]: Simplify -1 into -1 2.113 * [taylor]: Taking taylor expansion of re in re 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ -1 1) into -1 2.113 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.113 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.113 * [taylor]: Taking taylor expansion of -1 in re 2.113 * [backup-simplify]: Simplify -1 into -1 2.113 * [taylor]: Taking taylor expansion of im in re 2.113 * [backup-simplify]: Simplify im into im 2.113 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.113 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.113 * [taylor]: Taking taylor expansion of -1 in re 2.113 * [backup-simplify]: Simplify -1 into -1 2.113 * [taylor]: Taking taylor expansion of im in re 2.113 * [backup-simplify]: Simplify im into im 2.113 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.114 * [backup-simplify]: Simplify (* -1 -1) into 1 2.114 * [backup-simplify]: Simplify (+ 1 0) into 1 2.114 * [backup-simplify]: Simplify (sqrt 1) into 1 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.116 * [backup-simplify]: Simplify (+ 1 1) into 2 2.116 * [taylor]: Taking taylor expansion of 2 in im 2.116 * [backup-simplify]: Simplify 2 into 2 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [taylor]: Taking taylor expansion of 0 in im 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 2 into 2 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.119 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.119 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.120 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.120 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.120 * [taylor]: Taking taylor expansion of 1/2 in im 2.120 * [backup-simplify]: Simplify 1/2 into 1/2 2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.120 * [taylor]: Taking taylor expansion of im in im 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (* 1 1) into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.124 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.125 * [taylor]: Taking taylor expansion of 0 in im 2.125 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.127 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 2.127 * [backup-simplify]: Simplify (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) into (- (hypot re im) re) 2.127 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.127 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.127 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.127 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.127 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.127 * [taylor]: Taking taylor expansion of (* re re) in im 2.127 * [taylor]: Taking taylor expansion of re in im 2.127 * [backup-simplify]: Simplify re into re 2.127 * [taylor]: Taking taylor expansion of re in im 2.127 * [backup-simplify]: Simplify re into re 2.127 * [taylor]: Taking taylor expansion of (* im im) in im 2.127 * [taylor]: Taking taylor expansion of im in im 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [taylor]: Taking taylor expansion of im in im 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.128 * [backup-simplify]: Simplify (* 0 0) into 0 2.128 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.128 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.128 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.128 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.129 * [taylor]: Taking taylor expansion of re in im 2.129 * [backup-simplify]: Simplify re into re 2.129 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.129 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.129 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.129 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.129 * [taylor]: Taking taylor expansion of (* re re) in re 2.129 * [taylor]: Taking taylor expansion of re in re 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [taylor]: Taking taylor expansion of re in re 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [taylor]: Taking taylor expansion of (* im im) in re 2.129 * [taylor]: Taking taylor expansion of im in re 2.129 * [backup-simplify]: Simplify im into im 2.129 * [taylor]: Taking taylor expansion of im in re 2.129 * [backup-simplify]: Simplify im into im 2.129 * [backup-simplify]: Simplify (* 0 0) into 0 2.129 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.129 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.129 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.130 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.130 * [taylor]: Taking taylor expansion of re in re 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.130 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.130 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.130 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.130 * [taylor]: Taking taylor expansion of (* re re) in re 2.130 * [taylor]: Taking taylor expansion of re in re 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [taylor]: Taking taylor expansion of re in re 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [taylor]: Taking taylor expansion of (* im im) in re 2.130 * [taylor]: Taking taylor expansion of im in re 2.130 * [backup-simplify]: Simplify im into im 2.130 * [taylor]: Taking taylor expansion of im in re 2.130 * [backup-simplify]: Simplify im into im 2.131 * [backup-simplify]: Simplify (* 0 0) into 0 2.131 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.131 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.131 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.131 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.132 * [taylor]: Taking taylor expansion of re in re 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (- 0) into 0 2.132 * [backup-simplify]: Simplify (+ im 0) into im 2.132 * [taylor]: Taking taylor expansion of im in im 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- 1) into -1 2.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.132 * [taylor]: Taking taylor expansion of -1 in im 2.132 * [backup-simplify]: Simplify -1 into -1 2.133 * [backup-simplify]: Simplify -1 into -1 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.133 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.133 * [backup-simplify]: Simplify (+ 1 0) into 1 2.134 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.134 * [taylor]: Taking taylor expansion of 1/2 in im 2.134 * [backup-simplify]: Simplify 1/2 into 1/2 2.134 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.134 * [taylor]: Taking taylor expansion of im in im 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.136 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.137 * [backup-simplify]: Simplify (- 0) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [taylor]: Taking taylor expansion of 0 in im 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.139 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.139 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.139 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.139 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.139 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.139 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.139 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.139 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.139 * [taylor]: Taking taylor expansion of re in im 2.139 * [backup-simplify]: Simplify re into re 2.139 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.139 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.139 * [taylor]: Taking taylor expansion of re in im 2.139 * [backup-simplify]: Simplify re into re 2.139 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.139 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.139 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.139 * [taylor]: Taking taylor expansion of im in im 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.140 * [taylor]: Taking taylor expansion of im in im 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify (/ 1 1) into 1 2.140 * [backup-simplify]: Simplify (* 1 1) into 1 2.140 * [backup-simplify]: Simplify (+ 0 1) into 1 2.140 * [backup-simplify]: Simplify (sqrt 1) into 1 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.142 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.142 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.142 * [taylor]: Taking taylor expansion of re in im 2.142 * [backup-simplify]: Simplify re into re 2.142 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.142 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.142 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.142 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.143 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.143 * [taylor]: Taking taylor expansion of re in re 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.143 * [taylor]: Taking taylor expansion of re in re 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.143 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.143 * [taylor]: Taking taylor expansion of im in re 2.143 * [backup-simplify]: Simplify im into im 2.143 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.143 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.143 * [taylor]: Taking taylor expansion of im in re 2.143 * [backup-simplify]: Simplify im into im 2.143 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.143 * [backup-simplify]: Simplify (* 1 1) into 1 2.144 * [backup-simplify]: Simplify (+ 1 0) into 1 2.144 * [backup-simplify]: Simplify (sqrt 1) into 1 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.145 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.146 * [taylor]: Taking taylor expansion of re in re 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.146 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.146 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.146 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.146 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.146 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.146 * [taylor]: Taking taylor expansion of re in re 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.147 * [taylor]: Taking taylor expansion of re in re 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.147 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.147 * [taylor]: Taking taylor expansion of im in re 2.147 * [backup-simplify]: Simplify im into im 2.147 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.147 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.147 * [taylor]: Taking taylor expansion of im in re 2.147 * [backup-simplify]: Simplify im into im 2.147 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.147 * [backup-simplify]: Simplify (* 1 1) into 1 2.147 * [backup-simplify]: Simplify (+ 1 0) into 1 2.148 * [backup-simplify]: Simplify (sqrt 1) into 1 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.149 * [taylor]: Taking taylor expansion of re in re 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (/ 1 1) into 1 2.150 * [backup-simplify]: Simplify (- 1) into -1 2.150 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.150 * [taylor]: Taking taylor expansion of 0 in im 2.150 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (- 0) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [taylor]: Taking taylor expansion of 0 in im 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.153 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.153 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.154 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (- 0) into 0 2.154 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.154 * [taylor]: Taking taylor expansion of 1/2 in im 2.154 * [backup-simplify]: Simplify 1/2 into 1/2 2.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.154 * [taylor]: Taking taylor expansion of im in im 2.154 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (* 1 1) into 1 2.155 * [backup-simplify]: Simplify (/ 1 1) into 1 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.158 * [backup-simplify]: Simplify (+ 0 0) into 0 2.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (- 0) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [taylor]: Taking taylor expansion of 0 in im 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (* (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 2.164 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.164 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.164 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.164 * [taylor]: Taking taylor expansion of re in im 2.164 * [backup-simplify]: Simplify re into re 2.164 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.164 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.164 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.164 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.164 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.164 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.164 * [taylor]: Taking taylor expansion of -1 in im 2.164 * [backup-simplify]: Simplify -1 into -1 2.164 * [taylor]: Taking taylor expansion of re in im 2.164 * [backup-simplify]: Simplify re into re 2.164 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.164 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.164 * [taylor]: Taking taylor expansion of -1 in im 2.164 * [backup-simplify]: Simplify -1 into -1 2.164 * [taylor]: Taking taylor expansion of re in im 2.164 * [backup-simplify]: Simplify re into re 2.164 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.164 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.164 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.164 * [taylor]: Taking taylor expansion of -1 in im 2.164 * [backup-simplify]: Simplify -1 into -1 2.164 * [taylor]: Taking taylor expansion of im in im 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (/ -1 1) into -1 2.165 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.165 * [taylor]: Taking taylor expansion of -1 in im 2.165 * [backup-simplify]: Simplify -1 into -1 2.165 * [taylor]: Taking taylor expansion of im in im 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (/ -1 1) into -1 2.165 * [backup-simplify]: Simplify (* -1 -1) into 1 2.166 * [backup-simplify]: Simplify (+ 0 1) into 1 2.166 * [backup-simplify]: Simplify (sqrt 1) into 1 2.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.168 * [taylor]: Taking taylor expansion of re in re 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (/ 1 1) into 1 2.168 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.168 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.168 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.168 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.168 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.168 * [taylor]: Taking taylor expansion of -1 in re 2.168 * [backup-simplify]: Simplify -1 into -1 2.168 * [taylor]: Taking taylor expansion of re in re 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ -1 1) into -1 2.169 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.169 * [taylor]: Taking taylor expansion of -1 in re 2.169 * [backup-simplify]: Simplify -1 into -1 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ -1 1) into -1 2.169 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.169 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.169 * [taylor]: Taking taylor expansion of -1 in re 2.169 * [backup-simplify]: Simplify -1 into -1 2.169 * [taylor]: Taking taylor expansion of im in re 2.169 * [backup-simplify]: Simplify im into im 2.169 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.169 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.169 * [taylor]: Taking taylor expansion of -1 in re 2.169 * [backup-simplify]: Simplify -1 into -1 2.169 * [taylor]: Taking taylor expansion of im in re 2.169 * [backup-simplify]: Simplify im into im 2.169 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.170 * [backup-simplify]: Simplify (* -1 -1) into 1 2.170 * [backup-simplify]: Simplify (+ 1 0) into 1 2.170 * [backup-simplify]: Simplify (sqrt 1) into 1 2.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.172 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.172 * [taylor]: Taking taylor expansion of re in re 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.173 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.173 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.173 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of re in re 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (/ -1 1) into -1 2.173 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of re in re 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (/ -1 1) into -1 2.173 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of im in re 2.173 * [backup-simplify]: Simplify im into im 2.173 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [taylor]: Taking taylor expansion of im in re 2.173 * [backup-simplify]: Simplify im into im 2.174 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.174 * [backup-simplify]: Simplify (* -1 -1) into 1 2.174 * [backup-simplify]: Simplify (+ 1 0) into 1 2.174 * [backup-simplify]: Simplify (sqrt 1) into 1 2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.176 * [backup-simplify]: Simplify (+ 1 1) into 2 2.176 * [taylor]: Taking taylor expansion of 2 in im 2.176 * [backup-simplify]: Simplify 2 into 2 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.177 * [taylor]: Taking taylor expansion of 0 in im 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 2 into 2 2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.179 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.179 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.180 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.180 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.180 * [taylor]: Taking taylor expansion of 1/2 in im 2.180 * [backup-simplify]: Simplify 1/2 into 1/2 2.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.180 * [taylor]: Taking taylor expansion of im in im 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (* 1 1) into 1 2.181 * [backup-simplify]: Simplify (/ 1 1) into 1 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.184 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.184 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.184 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.184 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.184 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [taylor]: Taking taylor expansion of 0 in im 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.187 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.187 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0))) into (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 2.187 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 2.187 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 2.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.187 * [taylor]: Taking taylor expansion of 2.0 in im 2.187 * [backup-simplify]: Simplify 2.0 into 2.0 2.187 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.188 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 2.188 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.188 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.188 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.188 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.188 * [taylor]: Taking taylor expansion of (* re re) in im 2.188 * [taylor]: Taking taylor expansion of re in im 2.188 * [backup-simplify]: Simplify re into re 2.188 * [taylor]: Taking taylor expansion of re in im 2.188 * [backup-simplify]: Simplify re into re 2.188 * [taylor]: Taking taylor expansion of (* im im) in im 2.188 * [taylor]: Taking taylor expansion of im in im 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [taylor]: Taking taylor expansion of im in im 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.188 * [backup-simplify]: Simplify (* 0 0) into 0 2.189 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.189 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.189 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.189 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.189 * [backup-simplify]: Simplify (+ 0 0) into 0 2.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.189 * [taylor]: Taking taylor expansion of re in im 2.189 * [backup-simplify]: Simplify re into re 2.189 * [backup-simplify]: Simplify (- re) into (- re) 2.190 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.190 * [backup-simplify]: Simplify (- 0) into 0 2.190 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.191 * [backup-simplify]: Simplify (+ 0 1) into 1 2.191 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.191 * [backup-simplify]: Simplify (- 0) into 0 2.192 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.192 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.192 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.193 * [backup-simplify]: Simplify (- 0) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 2.194 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 2.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.194 * [taylor]: Taking taylor expansion of 2.0 in re 2.194 * [backup-simplify]: Simplify 2.0 into 2.0 2.194 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.194 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 2.194 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.194 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.194 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.194 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.194 * [taylor]: Taking taylor expansion of (* re re) in re 2.194 * [taylor]: Taking taylor expansion of re in re 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of re in re 2.194 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [taylor]: Taking taylor expansion of (* im im) in re 2.195 * [taylor]: Taking taylor expansion of im in re 2.195 * [backup-simplify]: Simplify im into im 2.195 * [taylor]: Taking taylor expansion of im in re 2.195 * [backup-simplify]: Simplify im into im 2.195 * [backup-simplify]: Simplify (* 0 0) into 0 2.195 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.195 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.195 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.195 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.196 * [taylor]: Taking taylor expansion of re in re 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (- 0) into 0 2.196 * [backup-simplify]: Simplify (+ im 0) into im 2.196 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.196 * [backup-simplify]: Simplify (- 1) into -1 2.197 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.197 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 2.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 2.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.197 * [taylor]: Taking taylor expansion of 2.0 in re 2.197 * [backup-simplify]: Simplify 2.0 into 2.0 2.197 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.197 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 2.197 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.197 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.197 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.197 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.197 * [taylor]: Taking taylor expansion of (* re re) in re 2.198 * [taylor]: Taking taylor expansion of re in re 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [taylor]: Taking taylor expansion of re in re 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [taylor]: Taking taylor expansion of (* im im) in re 2.198 * [taylor]: Taking taylor expansion of im in re 2.198 * [backup-simplify]: Simplify im into im 2.198 * [taylor]: Taking taylor expansion of im in re 2.198 * [backup-simplify]: Simplify im into im 2.198 * [backup-simplify]: Simplify (* 0 0) into 0 2.198 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.198 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.198 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.198 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.198 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.199 * [taylor]: Taking taylor expansion of re in re 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 1 into 1 2.199 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify (+ im 0) into im 2.199 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.199 * [backup-simplify]: Simplify (- 1) into -1 2.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.200 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 2.200 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 2.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.200 * [taylor]: Taking taylor expansion of 2.0 in im 2.200 * [backup-simplify]: Simplify 2.0 into 2.0 2.200 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.201 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.201 * [taylor]: Taking taylor expansion of im in im 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (sqrt 0) into 0 2.202 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.203 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.204 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.204 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 2.204 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 2.204 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.204 * [taylor]: Taking taylor expansion of 1/2 in im 2.204 * [backup-simplify]: Simplify 1/2 into 1/2 2.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.204 * [taylor]: Taking taylor expansion of 2.0 in im 2.204 * [backup-simplify]: Simplify 2.0 into 2.0 2.205 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.205 * [taylor]: Taking taylor expansion of im in im 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (/ 1 1) into 1 2.205 * [backup-simplify]: Simplify (sqrt 0) into 0 2.206 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.210 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.211 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.212 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.214 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.216 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.216 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.218 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.220 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.221 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.224 * [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)))))))) 2.224 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) 0))) into (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) 2.224 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 2.224 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 2.224 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.224 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.224 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.224 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.224 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.224 * [taylor]: Taking taylor expansion of re in im 2.224 * [backup-simplify]: Simplify re into re 2.224 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.224 * [taylor]: Taking taylor expansion of re in im 2.224 * [backup-simplify]: Simplify re into re 2.224 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.224 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.224 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.225 * [taylor]: Taking taylor expansion of im in im 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.225 * [taylor]: Taking taylor expansion of im in im 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify (* 1 1) into 1 2.225 * [backup-simplify]: Simplify (+ 0 1) into 1 2.226 * [backup-simplify]: Simplify (sqrt 1) into 1 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.227 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.228 * [taylor]: Taking taylor expansion of re in im 2.228 * [backup-simplify]: Simplify re into re 2.228 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.228 * [backup-simplify]: Simplify (+ 1 0) into 1 2.228 * [backup-simplify]: Simplify (sqrt 0) into 0 2.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.229 * [taylor]: Taking taylor expansion of 2.0 in im 2.229 * [backup-simplify]: Simplify 2.0 into 2.0 2.229 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.230 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.230 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.230 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.230 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.230 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.230 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.230 * [taylor]: Taking taylor expansion of re in re 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.230 * [taylor]: Taking taylor expansion of re in re 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.230 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.230 * [taylor]: Taking taylor expansion of im in re 2.230 * [backup-simplify]: Simplify im into im 2.231 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.231 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.231 * [taylor]: Taking taylor expansion of im in re 2.231 * [backup-simplify]: Simplify im into im 2.231 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.231 * [backup-simplify]: Simplify (* 1 1) into 1 2.231 * [backup-simplify]: Simplify (+ 1 0) into 1 2.231 * [backup-simplify]: Simplify (sqrt 1) into 1 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.233 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.233 * [taylor]: Taking taylor expansion of re in re 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (/ 1 1) into 1 2.234 * [backup-simplify]: Simplify (- 1) into -1 2.234 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (- 0) into 0 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.236 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.236 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.237 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (- 0) into 0 2.238 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.238 * [backup-simplify]: Simplify (sqrt 0) into 0 2.238 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 2.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.238 * [taylor]: Taking taylor expansion of 2.0 in re 2.238 * [backup-simplify]: Simplify 2.0 into 2.0 2.239 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.239 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.239 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.239 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.239 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.239 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.239 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.239 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.239 * [taylor]: Taking taylor expansion of re in re 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.240 * [taylor]: Taking taylor expansion of re in re 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.240 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.240 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.240 * [taylor]: Taking taylor expansion of im in re 2.240 * [backup-simplify]: Simplify im into im 2.240 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.240 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.240 * [taylor]: Taking taylor expansion of im in re 2.240 * [backup-simplify]: Simplify im into im 2.240 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.240 * [backup-simplify]: Simplify (* 1 1) into 1 2.240 * [backup-simplify]: Simplify (+ 1 0) into 1 2.241 * [backup-simplify]: Simplify (sqrt 1) into 1 2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.242 * [taylor]: Taking taylor expansion of re in re 2.242 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.243 * [backup-simplify]: Simplify (- 1) into -1 2.243 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify (- 0) into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.245 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.246 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (- 0) into 0 2.247 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.247 * [backup-simplify]: Simplify (sqrt 0) into 0 2.248 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 2.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.248 * [taylor]: Taking taylor expansion of 2.0 in re 2.248 * [backup-simplify]: Simplify 2.0 into 2.0 2.248 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.249 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 2.249 * [taylor]: Taking taylor expansion of 0 in im 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 2.249 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.249 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.249 * [taylor]: Taking taylor expansion of +nan.0 in im 2.249 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.250 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.250 * [taylor]: Taking taylor expansion of 2.0 in im 2.250 * [backup-simplify]: Simplify 2.0 into 2.0 2.250 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.250 * [taylor]: Taking taylor expansion of im in im 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (* 1 1) into 1 2.254 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.255 * [backup-simplify]: Simplify (- 0) into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.258 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.258 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify (- 0) into 0 2.259 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 2.260 * [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)))) 2.260 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.260 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.260 * [taylor]: Taking taylor expansion of +nan.0 in im 2.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.260 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.260 * [taylor]: Taking taylor expansion of 2.0 in im 2.260 * [backup-simplify]: Simplify 2.0 into 2.0 2.261 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.261 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.261 * [taylor]: Taking taylor expansion of im in im 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (* 1 1) into 1 2.262 * [backup-simplify]: Simplify (* 1 1) into 1 2.262 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 2.269 * [backup-simplify]: Simplify (- 0) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.271 * [backup-simplify]: Simplify (- 0) into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.275 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (- 0) into 0 2.276 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 2.277 * [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)))))) 2.278 * [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)))))) 2.278 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.278 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.278 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.278 * [taylor]: Taking taylor expansion of +nan.0 in im 2.278 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.278 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.278 * [taylor]: Taking taylor expansion of 2.0 in im 2.278 * [backup-simplify]: Simplify 2.0 into 2.0 2.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.279 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.279 * [taylor]: Taking taylor expansion of im in im 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (* 1 1) into 1 2.279 * [backup-simplify]: Simplify (* 1 1) into 1 2.280 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.280 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.280 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.280 * [taylor]: Taking taylor expansion of +nan.0 in im 2.280 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.280 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.280 * [taylor]: Taking taylor expansion of 2.0 in im 2.280 * [backup-simplify]: Simplify 2.0 into 2.0 2.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.280 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.280 * [taylor]: Taking taylor expansion of im in im 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (* 1 1) into 1 2.281 * [backup-simplify]: Simplify (* 1 1) into 1 2.281 * [backup-simplify]: Simplify (* 1 1) into 1 2.282 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.282 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 2.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.290 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 2.302 * [backup-simplify]: Simplify (- 0) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.302 * [backup-simplify]: Simplify (- 0) into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) 0))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) 2.303 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 2.303 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.303 * [taylor]: Taking taylor expansion of 2.0 in im 2.303 * [backup-simplify]: Simplify 2.0 into 2.0 2.303 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.304 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.304 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.304 * [taylor]: Taking taylor expansion of re in im 2.304 * [backup-simplify]: Simplify re into re 2.304 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.304 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.304 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.304 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.304 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.304 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.304 * [taylor]: Taking taylor expansion of -1 in im 2.304 * [backup-simplify]: Simplify -1 into -1 2.304 * [taylor]: Taking taylor expansion of re in im 2.304 * [backup-simplify]: Simplify re into re 2.304 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.304 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.304 * [taylor]: Taking taylor expansion of -1 in im 2.304 * [backup-simplify]: Simplify -1 into -1 2.304 * [taylor]: Taking taylor expansion of re in im 2.304 * [backup-simplify]: Simplify re into re 2.304 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.304 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.304 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.304 * [taylor]: Taking taylor expansion of -1 in im 2.304 * [backup-simplify]: Simplify -1 into -1 2.304 * [taylor]: Taking taylor expansion of im in im 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (/ -1 1) into -1 2.305 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.305 * [taylor]: Taking taylor expansion of -1 in im 2.305 * [backup-simplify]: Simplify -1 into -1 2.305 * [taylor]: Taking taylor expansion of im in im 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (/ -1 1) into -1 2.305 * [backup-simplify]: Simplify (* -1 -1) into 1 2.305 * [backup-simplify]: Simplify (+ 0 1) into 1 2.306 * [backup-simplify]: Simplify (sqrt 1) into 1 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.307 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 1) into 1 2.308 * [backup-simplify]: Simplify (sqrt 0) into 0 2.309 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.309 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.309 * [taylor]: Taking taylor expansion of 2.0 in re 2.309 * [backup-simplify]: Simplify 2.0 into 2.0 2.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.309 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.309 * [taylor]: Taking taylor expansion of re in re 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (/ 1 1) into 1 2.310 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.310 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.310 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.310 * [taylor]: Taking taylor expansion of -1 in re 2.310 * [backup-simplify]: Simplify -1 into -1 2.310 * [taylor]: Taking taylor expansion of re in re 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (/ -1 1) into -1 2.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.310 * [taylor]: Taking taylor expansion of -1 in re 2.310 * [backup-simplify]: Simplify -1 into -1 2.310 * [taylor]: Taking taylor expansion of re in re 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (/ -1 1) into -1 2.311 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.311 * [taylor]: Taking taylor expansion of -1 in re 2.311 * [backup-simplify]: Simplify -1 into -1 2.311 * [taylor]: Taking taylor expansion of im in re 2.311 * [backup-simplify]: Simplify im into im 2.311 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.311 * [taylor]: Taking taylor expansion of -1 in re 2.311 * [backup-simplify]: Simplify -1 into -1 2.311 * [taylor]: Taking taylor expansion of im in re 2.311 * [backup-simplify]: Simplify im into im 2.311 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.311 * [backup-simplify]: Simplify (* -1 -1) into 1 2.311 * [backup-simplify]: Simplify (+ 1 0) into 1 2.311 * [backup-simplify]: Simplify (sqrt 1) into 1 2.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.313 * [backup-simplify]: Simplify (+ 0 0) into 0 2.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.314 * [backup-simplify]: Simplify (+ 1 1) into 2 2.314 * [backup-simplify]: Simplify (sqrt 0) into 0 2.314 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.314 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.314 * [taylor]: Taking taylor expansion of 2.0 in re 2.315 * [backup-simplify]: Simplify 2.0 into 2.0 2.315 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.315 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (/ 1 1) into 1 2.315 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.316 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.316 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.316 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.316 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.316 * [taylor]: Taking taylor expansion of -1 in re 2.316 * [backup-simplify]: Simplify -1 into -1 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (/ -1 1) into -1 2.316 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.316 * [taylor]: Taking taylor expansion of -1 in re 2.316 * [backup-simplify]: Simplify -1 into -1 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (/ -1 1) into -1 2.316 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.316 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.316 * [taylor]: Taking taylor expansion of -1 in re 2.316 * [backup-simplify]: Simplify -1 into -1 2.316 * [taylor]: Taking taylor expansion of im in re 2.316 * [backup-simplify]: Simplify im into im 2.316 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.316 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.316 * [taylor]: Taking taylor expansion of -1 in re 2.317 * [backup-simplify]: Simplify -1 into -1 2.317 * [taylor]: Taking taylor expansion of im in re 2.317 * [backup-simplify]: Simplify im into im 2.317 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.317 * [backup-simplify]: Simplify (* -1 -1) into 1 2.317 * [backup-simplify]: Simplify (+ 1 0) into 1 2.317 * [backup-simplify]: Simplify (sqrt 1) into 1 2.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.319 * [backup-simplify]: Simplify (+ 1 1) into 2 2.320 * [backup-simplify]: Simplify (sqrt 0) into 0 2.320 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.321 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.321 * [taylor]: Taking taylor expansion of 0 in im 2.321 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.322 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.322 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.322 * [taylor]: Taking taylor expansion of +nan.0 in im 2.322 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.322 * [taylor]: Taking taylor expansion of 2.0 in im 2.322 * [backup-simplify]: Simplify 2.0 into 2.0 2.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.327 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.327 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.327 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.327 * [taylor]: Taking taylor expansion of +nan.0 in im 2.327 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.327 * [taylor]: Taking taylor expansion of 2.0 in im 2.327 * [backup-simplify]: Simplify 2.0 into 2.0 2.327 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.328 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.329 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.330 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.332 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.332 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.333 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.333 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.334 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 2.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.336 * [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))))) 2.336 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.336 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.336 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.336 * [taylor]: Taking taylor expansion of +nan.0 in im 2.336 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.336 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.336 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.336 * [taylor]: Taking taylor expansion of 2.0 in im 2.336 * [backup-simplify]: Simplify 2.0 into 2.0 2.336 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.337 * [taylor]: Taking taylor expansion of im in im 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (* 1 1) into 1 2.340 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.340 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.340 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.340 * [taylor]: Taking taylor expansion of +nan.0 in im 2.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.340 * [taylor]: Taking taylor expansion of 2.0 in im 2.340 * [backup-simplify]: Simplify 2.0 into 2.0 2.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.342 * [backup-simplify]: Simplify (+ 0 0) into 0 2.343 * [backup-simplify]: Simplify (- 0) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.344 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.345 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.345 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.348 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.348 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.348 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.349 * [backup-simplify]: Simplify (+ 0 0) into 0 2.350 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 2.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.352 * [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))))) 2.352 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.352 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.352 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.352 * [taylor]: Taking taylor expansion of +nan.0 in im 2.352 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.352 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.352 * [taylor]: Taking taylor expansion of 2.0 in im 2.352 * [backup-simplify]: Simplify 2.0 into 2.0 2.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.352 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.352 * [taylor]: Taking taylor expansion of im in im 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.353 * [backup-simplify]: Simplify (* 1 1) into 1 2.353 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.353 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.353 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.353 * [taylor]: Taking taylor expansion of +nan.0 in im 2.353 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.353 * [taylor]: Taking taylor expansion of 2.0 in im 2.353 * [backup-simplify]: Simplify 2.0 into 2.0 2.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.358 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.359 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.361 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.362 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.363 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.365 * [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))))))) 2.366 * * * [progress]: simplifying candidates 2.367 * [simplify]: Simplifying: (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (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 (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (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 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (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 (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (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 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (hypot re im) re) (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (- (hypot re im) re) (- (hypot re im) re)) (+ 1 1) (+ (log (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re)))) (log (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (exp (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (- (hypot re im) re) (- (hypot re im) re)) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* 1 1) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (sqrt (- (hypot re im) re)) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) 1) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re))) (expm1 (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (log1p (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (log (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (exp (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (* (* (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0))) (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (sqrt 2.0) (sqrt (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)) (sqrt (* 2.0 (+ (pow (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 3) (pow 0 3)))) (sqrt (+ (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (- (* 0 0) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (sqrt (* 2.0 (- (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* 0 0)))) (sqrt (- (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 0)))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 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))))))) 2.368 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma (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 (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (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 (- (hypot h0 h1) h0)) (log1p (- (hypot h0 h1) h0)) (- h0) (- h0) (- h0) (/ (exp (hypot h0 h1)) (exp h0)) (log (- (hypot h0 h1) h0)) (exp (- (hypot h0 h1) h0)) (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0))) (cbrt (- (hypot h0 h1) h0)) (* (* (- (hypot h0 h1) h0) (- (hypot h0 h1) h0)) (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (- (pow (hypot h0 h1) 3) (pow h0 3)) (+ (* (hypot h0 h1) (hypot h0 h1)) (+ (* h0 h0) (* (hypot h0 h1) h0))) (- h0) (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0)) (+ (hypot h0 h1) h0) (+ (sqrt (hypot h0 h1)) (sqrt h0)) (- (sqrt (hypot h0 h1)) (sqrt h0)) (- (hypot h0 h1) h0) (- h0) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma (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 (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (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 (- (hypot h0 h1) h0)) (log1p (- (hypot h0 h1) h0)) (- h0) (- h0) (- h0) (/ (exp (hypot h0 h1)) (exp h0)) (log (- (hypot h0 h1) h0)) (exp (- (hypot h0 h1) h0)) (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0))) (cbrt (- (hypot h0 h1) h0)) (* (* (- (hypot h0 h1) h0) (- (hypot h0 h1) h0)) (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (- (pow (hypot h0 h1) 3) (pow h0 3)) (+ (* (hypot h0 h1) (hypot h0 h1)) (+ (* h0 h0) (* (hypot h0 h1) h0))) (- h0) (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0)) (+ (hypot h0 h1) h0) (+ (sqrt (hypot h0 h1)) (sqrt h0)) (- (sqrt (hypot h0 h1)) (sqrt h0)) (- (hypot h0 h1) h0) (- h0) (expm1 (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)))) (log1p (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (hypot h0 h1) h0) (- (hypot h0 h1) h0)) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (* (- (hypot h0 h1) h0) (- (hypot h0 h1) h0)) (+ 1 1) (+ (log (sqrt (- (hypot h0 h1) h0))) (log (sqrt (- (hypot h0 h1) h0)))) (log (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)))) (exp (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)))) (* (* (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (sqrt (- (hypot h0 h1) h0))) (* (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (sqrt (- (hypot h0 h1) h0)))) (* (cbrt (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)))) (cbrt (* (sqrt (- 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h0))) (sqrt (- (pow (hypot h0 h1) 3) (pow h0 3)))) (* (sqrt (+ (hypot h0 h1) h0)) (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (+ (* h0 h0) (* (hypot h0 h1) h0))))) (* (sqrt (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0))) (sqrt (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0)))) (* (sqrt (+ (hypot h0 h1) h0)) (sqrt (+ (hypot h0 h1) h0))) (* (* (cbrt (sqrt (- (hypot h0 h1) h0))) (cbrt (sqrt (- (hypot h0 h1) h0)))) (* (cbrt (sqrt (- (hypot h0 h1) h0))) (cbrt (sqrt (- (hypot h0 h1) h0))))) (* (cbrt (sqrt (- (hypot h0 h1) h0))) (cbrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0)))) (sqrt (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0))))) (* (sqrt (cbrt (- (hypot h0 h1) h0))) (sqrt (cbrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt 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h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (- (hypot h0 h1) h0)) (* (cbrt (sqrt (- (hypot h0 h1) h0))) (cbrt (sqrt (- (hypot h0 h1) h0))))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0))))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt 1)) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (+ (sqrt (hypot h0 h1)) (sqrt h0)))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt 1)) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (sqrt (- (hypot h0 h1) h0)))) (* (sqrt (- (hypot h0 h1) h0)) 1) (* (cbrt (sqrt (- (hypot h0 h1) h0))) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (cbrt (- (hypot h0 h1) h0))) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (- (sqrt (hypot h0 h1)) (sqrt h0))) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (sqrt (- (hypot h0 h1) h0))) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (pow (hypot h0 h1) 3) (pow h0 3)))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0)))) (* (sqrt (- (pow (hypot h0 h1) 3) (pow h0 3))) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0))) (sqrt (- (hypot h0 h1) h0))) (expm1 (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (log1p (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (log (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (exp (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (* (cbrt (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (cbrt (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0))))) (cbrt (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (* (* (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0))) (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (sqrt h2) (sqrt (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)) (sqrt (* h2 (+ (pow (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 3) (pow 0 3)))) (sqrt (+ (* (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)))) (- (* 0 0) (* (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (sqrt (* h2 (- (* (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)))) (* 0 0)))) (sqrt (- (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (sqrt (sqrt (* h2 (+ (* (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0))) 0)))) (- h1 h0) 0 (* -2 h0) (- h1 h0) 0 (* -2 h0) (- h1 h0) 0 (* -2 h0) (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h1)) (- (* h3 (* (sqrt h2) (* h1 h0)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (* h3 (/ (sqrt h2) h0))))))) 2.374 * * [simplify]: iteration 0 : 377 enodes (cost 983 ) 2.382 * * [simplify]: iteration 1 : 1654 enodes (cost 768 ) 2.440 * * [simplify]: iteration 2 : 5002 enodes (cost 755 ) 2.444 * * * [progress]: adding candidates to table 2.757 * [progress]: [Phase 3 of 3] Extracting. 2.757 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.760 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.760 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.820 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.858 * * * [regime]: Found split indices: #