2.382 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.029 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.031 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.034 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.036 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.038 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.058 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.108 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.165 * * * [progress]: generating series expansions 0.165 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.166 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.166 * [taylor]: Taking taylor expansion of re in im 0.166 * [backup-simplify]: Simplify re into re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.166 * [taylor]: Taking taylor expansion of im in im 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.166 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.166 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.166 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.167 * [backup-simplify]: Simplify im into im 0.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.167 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.168 * [taylor]: Taking taylor expansion of im in re 0.168 * [backup-simplify]: Simplify im into im 0.168 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.168 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.168 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.170 * [backup-simplify]: Simplify (+ 1 0) into 1 0.170 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.170 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.170 * [taylor]: Taking taylor expansion of 1/2 in im 0.170 * [backup-simplify]: Simplify 1/2 into 1/2 0.170 * [taylor]: Taking taylor expansion of im in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.172 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.173 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.173 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [backup-simplify]: Simplify re into re 0.174 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (sqrt 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.176 * [backup-simplify]: Simplify im into im 0.176 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.176 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.176 * [taylor]: Taking taylor expansion of re in re 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 1) into 1 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.177 * [backup-simplify]: Simplify (sqrt 1) into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.179 * [taylor]: Taking taylor expansion of im in re 0.179 * [backup-simplify]: Simplify im into im 0.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.179 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (+ 0 1) into 1 0.180 * [backup-simplify]: Simplify (sqrt 1) into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.182 * [taylor]: Taking taylor expansion of 1 in im 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of 0 in im 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.184 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.184 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.184 * [taylor]: Taking taylor expansion of 1/2 in im 0.184 * [backup-simplify]: Simplify 1/2 into 1/2 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.184 * [taylor]: Taking taylor expansion of im in im 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 (/ 1/2 1) into 1/2 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in im 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.188 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.188 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.188 * [taylor]: Taking taylor expansion of im in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.189 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.189 * [taylor]: Taking taylor expansion of re in im 0.189 * [backup-simplify]: Simplify re into re 0.189 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.189 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (sqrt 1) into 1 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [backup-simplify]: Simplify im into im 0.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.191 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.191 * [taylor]: Taking taylor expansion of re in re 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (+ 0 1) into 1 0.192 * [backup-simplify]: Simplify (sqrt 1) into 1 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.194 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.194 * [taylor]: Taking taylor expansion of im in re 0.194 * [backup-simplify]: Simplify im into im 0.194 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.194 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.194 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.194 * [taylor]: Taking taylor expansion of re in re 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (+ 0 1) into 1 0.195 * [backup-simplify]: Simplify (sqrt 1) into 1 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.196 * [taylor]: Taking taylor expansion of 1 in im 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of 0 in im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.198 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.198 * [taylor]: Taking taylor expansion of 1/2 in im 0.198 * [backup-simplify]: Simplify 1/2 into 1/2 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.198 * [taylor]: Taking taylor expansion of im in im 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.203 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.203 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.203 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.203 * [taylor]: Taking taylor expansion of re in im 0.203 * [backup-simplify]: Simplify re into re 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.203 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.203 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.203 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.204 * [taylor]: Taking taylor expansion of re in im 0.204 * [backup-simplify]: Simplify re into re 0.204 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.204 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [backup-simplify]: Simplify im into im 0.204 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.204 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.204 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.205 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [backup-simplify]: Simplify im into im 0.205 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.205 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.205 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.205 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ im 0) into im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- 1) into -1 0.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.206 * [taylor]: Taking taylor expansion of -1 in im 0.206 * [backup-simplify]: Simplify -1 into -1 0.206 * [backup-simplify]: Simplify -1 into -1 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.208 * [taylor]: Taking taylor expansion of 1/2 in im 0.208 * [backup-simplify]: Simplify 1/2 into 1/2 0.208 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in im 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.212 * [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)) 0.212 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.212 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.213 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.213 * [taylor]: Taking taylor expansion of re in im 0.213 * [backup-simplify]: Simplify re into re 0.213 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (sqrt 1) into 1 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.215 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.215 * [taylor]: Taking taylor expansion of re in im 0.215 * [backup-simplify]: Simplify re into re 0.215 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.215 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.215 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.215 * [taylor]: Taking taylor expansion of im in re 0.215 * [backup-simplify]: Simplify im into im 0.215 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.215 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.215 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.215 * [taylor]: Taking taylor expansion of re in re 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (+ 0 1) into 1 0.216 * [backup-simplify]: Simplify (sqrt 1) into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.218 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.218 * [taylor]: Taking taylor expansion of im in re 0.218 * [backup-simplify]: Simplify im into im 0.218 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.218 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.218 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.218 * [taylor]: Taking taylor expansion of re in re 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (+ 0 1) into 1 0.219 * [backup-simplify]: Simplify (sqrt 1) into 1 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.221 * [taylor]: Taking taylor expansion of 0 in im 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in im 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.223 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.224 * [taylor]: Taking taylor expansion of 1/2 in im 0.224 * [backup-simplify]: Simplify 1/2 into 1/2 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.224 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in im 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.231 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.231 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.231 * [taylor]: Taking taylor expansion of re in im 0.231 * [backup-simplify]: Simplify re into re 0.231 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.232 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.232 * [taylor]: Taking taylor expansion of re in im 0.232 * [backup-simplify]: Simplify re into re 0.232 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.232 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.232 * [backup-simplify]: Simplify (sqrt 1) into 1 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.234 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.234 * [taylor]: Taking taylor expansion of im in re 0.234 * [backup-simplify]: Simplify im into im 0.234 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.234 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.234 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ 0 1) into 1 0.235 * [backup-simplify]: Simplify (sqrt 1) into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.242 * [backup-simplify]: Simplify (+ 1 1) into 2 0.242 * [taylor]: Taking taylor expansion of 2 in im 0.242 * [backup-simplify]: Simplify 2 into 2 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 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 2 into 2 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.246 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.246 * [taylor]: Taking taylor expansion of 1/2 in im 0.246 * [backup-simplify]: Simplify 1/2 into 1/2 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in im 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.252 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.252 * [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))) 0.252 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.252 * [backup-simplify]: Simplify 2.0 into 2.0 0.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.253 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.253 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.253 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.253 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.253 * [taylor]: Taking taylor expansion of re in im 0.253 * [backup-simplify]: Simplify re into re 0.253 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.253 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.253 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.253 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [backup-simplify]: Simplify re into re 0.254 * [backup-simplify]: Simplify (- re) into (- re) 0.254 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.255 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ 0 1) into 1 0.255 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.256 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.256 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.257 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.257 * [taylor]: Taking taylor expansion of 2.0 in re 0.257 * [backup-simplify]: Simplify 2.0 into 2.0 0.258 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.258 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.258 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [backup-simplify]: Simplify im into im 0.258 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.258 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.258 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.258 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ im 0) into im 0.259 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.259 * [backup-simplify]: Simplify (- 1) into -1 0.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.260 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.260 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.260 * [taylor]: Taking taylor expansion of 2.0 in re 0.260 * [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 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.260 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.260 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.261 * [backup-simplify]: Simplify im into im 0.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.261 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.261 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.261 * [taylor]: Taking taylor expansion of re in re 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ im 0) into im 0.261 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.262 * [backup-simplify]: Simplify (- 1) into -1 0.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.262 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.262 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.262 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.262 * [taylor]: Taking taylor expansion of 2.0 in im 0.262 * [backup-simplify]: Simplify 2.0 into 2.0 0.263 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.263 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.263 * [taylor]: Taking taylor expansion of im in im 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (sqrt 0) into 0 0.264 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.265 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.266 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.266 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.267 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.267 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.267 * [taylor]: Taking taylor expansion of 1/2 in im 0.267 * [backup-simplify]: Simplify 1/2 into 1/2 0.267 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.267 * [taylor]: Taking taylor expansion of 2.0 in im 0.267 * [backup-simplify]: Simplify 2.0 into 2.0 0.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.267 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (sqrt 0) into 0 0.268 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.272 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.274 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.274 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.278 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.279 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.280 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.281 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.282 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.283 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.286 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.287 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.287 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.287 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.287 * [taylor]: Taking taylor expansion of 2.0 in im 0.287 * [backup-simplify]: Simplify 2.0 into 2.0 0.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.287 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.287 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.288 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.288 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.288 * [taylor]: Taking taylor expansion of re in im 0.288 * [backup-simplify]: Simplify re into re 0.288 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.288 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.290 * [taylor]: Taking taylor expansion of re in im 0.290 * [backup-simplify]: Simplify re into re 0.290 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.290 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (sqrt 0) into 0 0.291 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.291 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.291 * [taylor]: Taking taylor expansion of 2.0 in re 0.291 * [backup-simplify]: Simplify 2.0 into 2.0 0.292 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.292 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.292 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.292 * [taylor]: Taking taylor expansion of im in re 0.292 * [backup-simplify]: Simplify im into im 0.292 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.292 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.292 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.292 * [taylor]: Taking taylor expansion of re in re 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (+ 0 1) into 1 0.293 * [backup-simplify]: Simplify (sqrt 1) into 1 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (- 1) into -1 0.295 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.298 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.299 * [backup-simplify]: Simplify (sqrt 0) into 0 0.300 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.300 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.300 * [taylor]: Taking taylor expansion of 2.0 in re 0.300 * [backup-simplify]: Simplify 2.0 into 2.0 0.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.300 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.300 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.301 * [taylor]: Taking taylor expansion of im in re 0.301 * [backup-simplify]: Simplify im into im 0.301 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.301 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.301 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (+ 0 1) into 1 0.302 * [backup-simplify]: Simplify (sqrt 1) into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.303 * [taylor]: Taking taylor expansion of re in re 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (- 1) into -1 0.304 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.306 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.307 * [backup-simplify]: Simplify (sqrt 0) into 0 0.308 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.308 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.308 * [taylor]: Taking taylor expansion of 0 in im 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.309 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.309 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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 2)) 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 0.309 * [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 2) 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 0.310 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.316 * [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)))) 0.317 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.317 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.317 * [taylor]: Taking taylor expansion of +nan.0 in im 0.317 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.317 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.317 * [taylor]: Taking taylor expansion of 2.0 in im 0.317 * [backup-simplify]: Simplify 2.0 into 2.0 0.317 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.317 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.317 * [taylor]: Taking taylor expansion of im in im 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.319 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.325 * [backup-simplify]: Simplify (- 0) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.335 * [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)))))) 0.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.336 * [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)))))) 0.337 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.337 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.337 * [taylor]: Taking taylor expansion of +nan.0 in im 0.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.337 * [taylor]: Taking taylor expansion of 2.0 in im 0.337 * [backup-simplify]: Simplify 2.0 into 2.0 0.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.337 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.338 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.338 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.339 * [taylor]: Taking taylor expansion of +nan.0 in im 0.339 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.339 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.339 * [taylor]: Taking taylor expansion of 2.0 in im 0.339 * [backup-simplify]: Simplify 2.0 into 2.0 0.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.339 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.339 * [taylor]: Taking taylor expansion of im in im 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [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))))))) 0.362 * [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 0.362 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.362 * [taylor]: Taking taylor expansion of 2.0 in im 0.362 * [backup-simplify]: Simplify 2.0 into 2.0 0.362 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.363 * [taylor]: Taking taylor expansion of re in im 0.363 * [backup-simplify]: Simplify re into re 0.363 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.363 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.363 * [taylor]: Taking taylor expansion of im in im 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.363 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.363 * [taylor]: Taking taylor expansion of re in im 0.363 * [backup-simplify]: Simplify re into re 0.363 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (sqrt 1) into 1 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 1) into 1 0.366 * [backup-simplify]: Simplify (sqrt 0) into 0 0.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.367 * [taylor]: Taking taylor expansion of 2.0 in re 0.367 * [backup-simplify]: Simplify 2.0 into 2.0 0.367 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.367 * [taylor]: Taking taylor expansion of re in re 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.368 * [taylor]: Taking taylor expansion of im in re 0.368 * [backup-simplify]: Simplify im into im 0.368 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.368 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.368 * [taylor]: Taking taylor expansion of re in re 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify (+ 0 1) into 1 0.369 * [backup-simplify]: Simplify (sqrt 1) into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.370 * [backup-simplify]: Simplify (+ 1 1) into 2 0.370 * [backup-simplify]: Simplify (sqrt 0) into 0 0.371 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.371 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.371 * [taylor]: Taking taylor expansion of 2.0 in re 0.371 * [backup-simplify]: Simplify 2.0 into 2.0 0.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.372 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.372 * [taylor]: Taking taylor expansion of re in re 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.372 * [taylor]: Taking taylor expansion of im in re 0.372 * [backup-simplify]: Simplify im into im 0.372 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.372 * [taylor]: Taking taylor expansion of re in re 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (+ 0 1) into 1 0.373 * [backup-simplify]: Simplify (sqrt 1) into 1 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.375 * [backup-simplify]: Simplify (+ 1 1) into 2 0.375 * [backup-simplify]: Simplify (sqrt 0) into 0 0.376 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.376 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in im 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.377 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.377 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.377 * [taylor]: Taking taylor expansion of +nan.0 in im 0.377 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.377 * [taylor]: Taking taylor expansion of 2.0 in im 0.377 * [backup-simplify]: Simplify 2.0 into 2.0 0.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.382 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.382 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.383 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.383 * [taylor]: Taking taylor expansion of +nan.0 in im 0.383 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.383 * [taylor]: Taking taylor expansion of 2.0 in im 0.383 * [backup-simplify]: Simplify 2.0 into 2.0 0.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.384 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.385 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.385 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.388 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.388 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.389 * [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)) 0.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.391 * [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))))) 0.391 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.391 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.391 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.391 * [taylor]: Taking taylor expansion of +nan.0 in im 0.391 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.391 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.391 * [taylor]: Taking taylor expansion of 2.0 in im 0.391 * [backup-simplify]: Simplify 2.0 into 2.0 0.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.392 * [taylor]: Taking taylor expansion of im in im 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.392 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.392 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.392 * [taylor]: Taking taylor expansion of +nan.0 in im 0.392 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.392 * [taylor]: Taking taylor expansion of 2.0 in im 0.392 * [backup-simplify]: Simplify 2.0 into 2.0 0.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.396 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.397 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.398 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [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))) 0.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.403 * [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))))) 0.403 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.403 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.404 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.404 * [taylor]: Taking taylor expansion of +nan.0 in im 0.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.404 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.404 * [taylor]: Taking taylor expansion of 2.0 in im 0.404 * [backup-simplify]: Simplify 2.0 into 2.0 0.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.404 * [taylor]: Taking taylor expansion of im in im 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (* 1 1) into 1 0.405 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.405 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.405 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.405 * [taylor]: Taking taylor expansion of +nan.0 in im 0.405 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.405 * [taylor]: Taking taylor expansion of 2.0 in im 0.405 * [backup-simplify]: Simplify 2.0 into 2.0 0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.410 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.411 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.412 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.417 * [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))))))) 0.417 * * * [progress]: simplifying candidates 0.421 * [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))))))) 0.421 * [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))))))) 0.426 * * [simplify]: iteration 0 : 314 enodes (cost 760 ) 0.432 * * [simplify]: iteration 1 : 1192 enodes (cost 522 ) 0.458 * * [simplify]: iteration 2 : 5001 enodes (cost 473 ) 0.461 * * * [progress]: adding candidates to table 0.633 * * [progress]: iteration 2 / 4 0.633 * * * [progress]: picking best candidate 0.643 * * * * [pick]: Picked # 0.643 * * * [progress]: localizing error 0.651 * * * [progress]: generating rewritten candidates 0.651 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.658 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 1 1) 0.658 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.680 * * * [progress]: generating series expansions 0.681 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.681 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re) 0.681 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.681 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.681 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.682 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.682 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.682 * [taylor]: Taking taylor expansion of (* re re) in im 0.682 * [taylor]: Taking taylor expansion of re in im 0.682 * [backup-simplify]: Simplify re into re 0.682 * [taylor]: Taking taylor expansion of re in im 0.682 * [backup-simplify]: Simplify re into re 0.682 * [taylor]: Taking taylor expansion of (* im im) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of im in im 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.683 * [backup-simplify]: Simplify (* 0 0) into 0 0.683 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.683 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.683 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.683 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.684 * [taylor]: Taking taylor expansion of re in im 0.684 * [backup-simplify]: Simplify re into re 0.684 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.684 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.684 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.684 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.684 * [taylor]: Taking taylor expansion of (* re re) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [taylor]: Taking taylor expansion of (* im im) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [backup-simplify]: Simplify im into im 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [backup-simplify]: Simplify im into im 0.684 * [backup-simplify]: Simplify (* 0 0) into 0 0.684 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.684 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.684 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.685 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.685 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.685 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.685 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.685 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.685 * [taylor]: Taking taylor expansion of (* re re) in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.686 * [taylor]: Taking taylor expansion of (* im im) in re 0.686 * [taylor]: Taking taylor expansion of im in re 0.686 * [backup-simplify]: Simplify im into im 0.686 * [taylor]: Taking taylor expansion of im in re 0.686 * [backup-simplify]: Simplify im into im 0.686 * [backup-simplify]: Simplify (* 0 0) into 0 0.686 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.686 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.686 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.686 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.686 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (- 0) into 0 0.687 * [backup-simplify]: Simplify (+ im 0) into im 0.687 * [taylor]: Taking taylor expansion of im in im 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (- 1) into -1 0.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.688 * [taylor]: Taking taylor expansion of -1 in im 0.688 * [backup-simplify]: Simplify -1 into -1 0.688 * [backup-simplify]: Simplify -1 into -1 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.689 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.689 * [backup-simplify]: Simplify (+ 1 0) into 1 0.689 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.690 * [backup-simplify]: Simplify (- 0) into 0 0.690 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.690 * [taylor]: Taking taylor expansion of 1/2 in im 0.690 * [backup-simplify]: Simplify 1/2 into 1/2 0.690 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.690 * [taylor]: Taking taylor expansion of im in im 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ 1 1) into 1 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.695 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.695 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [taylor]: Taking taylor expansion of 0 in im 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.697 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.697 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.697 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.697 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.697 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.697 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.697 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.697 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.697 * [taylor]: Taking taylor expansion of re in im 0.697 * [backup-simplify]: Simplify re into re 0.697 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.697 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.697 * [taylor]: Taking taylor expansion of re in im 0.697 * [backup-simplify]: Simplify re into re 0.697 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.697 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.697 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [backup-simplify]: Simplify (* 1 1) into 1 0.698 * [backup-simplify]: Simplify (+ 0 1) into 1 0.699 * [backup-simplify]: Simplify (sqrt 1) into 1 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.700 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.701 * [taylor]: Taking taylor expansion of re in im 0.701 * [backup-simplify]: Simplify re into re 0.701 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.701 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.701 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.701 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.701 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.701 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.701 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.701 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.701 * [backup-simplify]: Simplify im into im 0.701 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.701 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.701 * [backup-simplify]: Simplify im into im 0.702 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.702 * [backup-simplify]: Simplify (+ 1 0) into 1 0.702 * [backup-simplify]: Simplify (sqrt 1) into 1 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.704 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.704 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.704 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.704 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [backup-simplify]: Simplify im into im 0.705 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [backup-simplify]: Simplify im into im 0.705 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.705 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (+ 1 0) into 1 0.706 * [backup-simplify]: Simplify (sqrt 1) into 1 0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.707 * [backup-simplify]: Simplify (+ 0 0) into 0 0.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [backup-simplify]: Simplify (- 1) into -1 0.708 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.708 * [taylor]: Taking taylor expansion of 0 in im 0.708 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [taylor]: Taking taylor expansion of 0 in im 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.711 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.711 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.712 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.713 * [taylor]: Taking taylor expansion of 1/2 in im 0.713 * [backup-simplify]: Simplify 1/2 into 1/2 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (/ 1 1) into 1 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [taylor]: Taking taylor expansion of 0 in im 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 0.720 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.720 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.720 * [taylor]: Taking taylor expansion of re in im 0.720 * [backup-simplify]: Simplify re into re 0.720 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.720 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.720 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.720 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.720 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.720 * [taylor]: Taking taylor expansion of -1 in im 0.720 * [backup-simplify]: Simplify -1 into -1 0.720 * [taylor]: Taking taylor expansion of re in im 0.720 * [backup-simplify]: Simplify re into re 0.720 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.720 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.720 * [taylor]: Taking taylor expansion of -1 in im 0.720 * [backup-simplify]: Simplify -1 into -1 0.720 * [taylor]: Taking taylor expansion of re in im 0.720 * [backup-simplify]: Simplify re into re 0.720 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.720 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.720 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.720 * [taylor]: Taking taylor expansion of -1 in im 0.720 * [backup-simplify]: Simplify -1 into -1 0.720 * [taylor]: Taking taylor expansion of im in im 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (/ -1 1) into -1 0.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.721 * [taylor]: Taking taylor expansion of -1 in im 0.721 * [backup-simplify]: Simplify -1 into -1 0.721 * [taylor]: Taking taylor expansion of im in im 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (/ -1 1) into -1 0.721 * [backup-simplify]: Simplify (* -1 -1) into 1 0.721 * [backup-simplify]: Simplify (+ 0 1) into 1 0.722 * [backup-simplify]: Simplify (sqrt 1) into 1 0.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.724 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.724 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.724 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.724 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.724 * [taylor]: Taking taylor expansion of -1 in re 0.724 * [backup-simplify]: Simplify -1 into -1 0.724 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.724 * [taylor]: Taking taylor expansion of -1 in re 0.724 * [backup-simplify]: Simplify -1 into -1 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (/ -1 1) into -1 0.725 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.725 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.725 * [taylor]: Taking taylor expansion of -1 in re 0.725 * [backup-simplify]: Simplify -1 into -1 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.725 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.725 * [taylor]: Taking taylor expansion of -1 in re 0.725 * [backup-simplify]: Simplify -1 into -1 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.725 * [backup-simplify]: Simplify (* -1 -1) into 1 0.725 * [backup-simplify]: Simplify (+ 1 0) into 1 0.726 * [backup-simplify]: Simplify (sqrt 1) into 1 0.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (/ 1 1) into 1 0.728 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.728 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.728 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.728 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.728 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.728 * [taylor]: Taking taylor expansion of -1 in re 0.728 * [backup-simplify]: Simplify -1 into -1 0.728 * [taylor]: Taking taylor expansion of re in re 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (/ -1 1) into -1 0.728 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.728 * [taylor]: Taking taylor expansion of -1 in re 0.728 * [backup-simplify]: Simplify -1 into -1 0.728 * [taylor]: Taking taylor expansion of re in re 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (/ -1 1) into -1 0.729 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [backup-simplify]: Simplify -1 into -1 0.729 * [taylor]: Taking taylor expansion of im in re 0.729 * [backup-simplify]: Simplify im into im 0.729 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [backup-simplify]: Simplify -1 into -1 0.729 * [taylor]: Taking taylor expansion of im in re 0.729 * [backup-simplify]: Simplify im into im 0.729 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.729 * [backup-simplify]: Simplify (* -1 -1) into 1 0.729 * [backup-simplify]: Simplify (+ 1 0) into 1 0.729 * [backup-simplify]: Simplify (sqrt 1) into 1 0.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.732 * [backup-simplify]: Simplify (+ 1 1) into 2 0.732 * [taylor]: Taking taylor expansion of 2 in im 0.732 * [backup-simplify]: Simplify 2 into 2 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [taylor]: Taking taylor expansion of 0 in im 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 2 into 2 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.734 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.734 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.735 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.735 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.735 * [taylor]: Taking taylor expansion of 1/2 in im 0.735 * [backup-simplify]: Simplify 1/2 into 1/2 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.735 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.739 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [taylor]: Taking taylor expansion of 0 in im 0.740 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.742 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 1 1) 0.742 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.742 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.742 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.742 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.742 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.742 * [taylor]: Taking taylor expansion of (* re re) in im 0.742 * [taylor]: Taking taylor expansion of re in im 0.742 * [backup-simplify]: Simplify re into re 0.742 * [taylor]: Taking taylor expansion of re in im 0.742 * [backup-simplify]: Simplify re into re 0.742 * [taylor]: Taking taylor expansion of (* im im) in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [taylor]: Taking taylor expansion of im in im 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.743 * [backup-simplify]: Simplify (* 0 0) into 0 0.743 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.743 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.743 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.743 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.744 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.744 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.744 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.744 * [taylor]: Taking taylor expansion of (* re re) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [taylor]: Taking taylor expansion of (* im im) in re 0.744 * [taylor]: Taking taylor expansion of im in re 0.744 * [backup-simplify]: Simplify im into im 0.744 * [taylor]: Taking taylor expansion of im in re 0.744 * [backup-simplify]: Simplify im into im 0.744 * [backup-simplify]: Simplify (* 0 0) into 0 0.744 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.744 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.744 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.745 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.745 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.745 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.745 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.745 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.745 * [taylor]: Taking taylor expansion of (* re re) in re 0.745 * [taylor]: Taking taylor expansion of re in re 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [taylor]: Taking taylor expansion of re in re 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [taylor]: Taking taylor expansion of (* im im) in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.745 * [backup-simplify]: Simplify im into im 0.745 * [taylor]: Taking taylor expansion of im in re 0.745 * [backup-simplify]: Simplify im into im 0.745 * [backup-simplify]: Simplify (* 0 0) into 0 0.746 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.746 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.746 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.746 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.746 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.746 * [taylor]: Taking taylor expansion of im in im 0.746 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [taylor]: Taking taylor expansion of 0 in im 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.747 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.748 * [backup-simplify]: Simplify (+ 1 0) into 1 0.748 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.748 * [taylor]: Taking taylor expansion of (/ 1/2 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 im in im 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.750 * [taylor]: Taking taylor expansion of 0 in im 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.751 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.751 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.751 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.751 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.751 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.751 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.751 * [taylor]: Taking taylor expansion of re in im 0.751 * [backup-simplify]: Simplify re into re 0.751 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.751 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.751 * [taylor]: Taking taylor expansion of re in im 0.751 * [backup-simplify]: Simplify re into re 0.751 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.751 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.751 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.751 * [taylor]: Taking taylor expansion of im in im 0.751 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [backup-simplify]: Simplify (* 1 1) into 1 0.752 * [backup-simplify]: Simplify (+ 0 1) into 1 0.753 * [backup-simplify]: Simplify (sqrt 1) into 1 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.754 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.755 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.755 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [backup-simplify]: Simplify im into im 0.755 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.755 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [backup-simplify]: Simplify im into im 0.755 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (+ 1 0) into 1 0.756 * [backup-simplify]: Simplify (sqrt 1) into 1 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.758 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.758 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.758 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.758 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.758 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.758 * [taylor]: Taking taylor expansion of im in re 0.758 * [backup-simplify]: Simplify im into im 0.759 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.759 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.759 * [taylor]: Taking taylor expansion of im in re 0.759 * [backup-simplify]: Simplify im into im 0.759 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (+ 1 0) into 1 0.759 * [backup-simplify]: Simplify (sqrt 1) into 1 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.761 * [taylor]: Taking taylor expansion of 1 in im 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [taylor]: Taking taylor expansion of 0 in im 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.763 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.763 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.764 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.764 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.764 * [taylor]: Taking taylor expansion of 1/2 in im 0.764 * [backup-simplify]: Simplify 1/2 into 1/2 0.764 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (* 1 1) into 1 0.764 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.767 * [taylor]: Taking taylor expansion of 0 in im 0.767 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.769 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.769 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.769 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.769 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.769 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.769 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.769 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.769 * [taylor]: Taking taylor expansion of -1 in im 0.769 * [backup-simplify]: Simplify -1 into -1 0.769 * [taylor]: Taking taylor expansion of re in im 0.769 * [backup-simplify]: Simplify re into re 0.769 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.769 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.769 * [taylor]: Taking taylor expansion of -1 in im 0.769 * [backup-simplify]: Simplify -1 into -1 0.769 * [taylor]: Taking taylor expansion of re in im 0.769 * [backup-simplify]: Simplify re into re 0.769 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.769 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.769 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.769 * [taylor]: Taking taylor expansion of -1 in im 0.769 * [backup-simplify]: Simplify -1 into -1 0.769 * [taylor]: Taking taylor expansion of im in im 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (/ -1 1) into -1 0.769 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.769 * [taylor]: Taking taylor expansion of -1 in im 0.769 * [backup-simplify]: Simplify -1 into -1 0.769 * [taylor]: Taking taylor expansion of im in im 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (/ -1 1) into -1 0.770 * [backup-simplify]: Simplify (* -1 -1) into 1 0.770 * [backup-simplify]: Simplify (+ 0 1) into 1 0.770 * [backup-simplify]: Simplify (sqrt 1) into 1 0.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.772 * [backup-simplify]: Simplify (+ 0 0) into 0 0.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.772 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.772 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.772 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.772 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.772 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.772 * [taylor]: Taking taylor expansion of -1 in re 0.772 * [backup-simplify]: Simplify -1 into -1 0.772 * [taylor]: Taking taylor expansion of re in re 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (/ -1 1) into -1 0.773 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.773 * [taylor]: Taking taylor expansion of -1 in re 0.773 * [backup-simplify]: Simplify -1 into -1 0.773 * [taylor]: Taking taylor expansion of re in re 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (/ -1 1) into -1 0.773 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.773 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.773 * [taylor]: Taking taylor expansion of -1 in re 0.773 * [backup-simplify]: Simplify -1 into -1 0.773 * [taylor]: Taking taylor expansion of im in re 0.773 * [backup-simplify]: Simplify im into im 0.773 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.773 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.773 * [taylor]: Taking taylor expansion of -1 in re 0.773 * [backup-simplify]: Simplify -1 into -1 0.773 * [taylor]: Taking taylor expansion of im in re 0.773 * [backup-simplify]: Simplify im into im 0.773 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.773 * [backup-simplify]: Simplify (* -1 -1) into 1 0.774 * [backup-simplify]: Simplify (+ 1 0) into 1 0.774 * [backup-simplify]: Simplify (sqrt 1) into 1 0.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.776 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.776 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.776 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.776 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.776 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.776 * [taylor]: Taking taylor expansion of -1 in re 0.776 * [backup-simplify]: Simplify -1 into -1 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 re) in re 0.776 * [taylor]: Taking taylor expansion of -1 in re 0.776 * [backup-simplify]: Simplify -1 into -1 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 0.777 * [backup-simplify]: Simplify (/ -1 1) into -1 0.777 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.777 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.777 * [taylor]: Taking taylor expansion of -1 in re 0.777 * [backup-simplify]: Simplify -1 into -1 0.777 * [taylor]: Taking taylor expansion of im in re 0.777 * [backup-simplify]: Simplify im into im 0.777 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.777 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.777 * [taylor]: Taking taylor expansion of -1 in re 0.777 * [backup-simplify]: Simplify -1 into -1 0.777 * [taylor]: Taking taylor expansion of im in re 0.777 * [backup-simplify]: Simplify im into im 0.777 * [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 0.778 * [backup-simplify]: Simplify (sqrt 1) into 1 0.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.780 * [taylor]: Taking taylor expansion of 1 in im 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of 0 in im 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.781 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.781 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.782 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.782 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.782 * [taylor]: Taking taylor expansion of 1/2 in im 0.782 * [backup-simplify]: Simplify 1/2 into 1/2 0.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.782 * [taylor]: Taking taylor expansion of im in im 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (* 1 1) into 1 0.783 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.788 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.788 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.789 * [taylor]: Taking taylor expansion of 0 in im 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.790 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.790 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) into (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 0.790 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.790 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.790 * [taylor]: Taking taylor expansion of 2.0 in im 0.790 * [backup-simplify]: Simplify 2.0 into 2.0 0.790 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.791 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.791 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.791 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.791 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.791 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.791 * [taylor]: Taking taylor expansion of (* re re) in im 0.791 * [taylor]: Taking taylor expansion of re in im 0.791 * [backup-simplify]: Simplify re into re 0.791 * [taylor]: Taking taylor expansion of re in im 0.791 * [backup-simplify]: Simplify re into re 0.791 * [taylor]: Taking taylor expansion of (* im im) in im 0.791 * [taylor]: Taking taylor expansion of im in im 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [taylor]: Taking taylor expansion of im in im 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.791 * [backup-simplify]: Simplify (* 0 0) into 0 0.791 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.792 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.792 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.792 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.792 * [taylor]: Taking taylor expansion of re in im 0.792 * [backup-simplify]: Simplify re into re 0.792 * [backup-simplify]: Simplify (- re) into (- re) 0.792 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.793 * [backup-simplify]: Simplify (- 0) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.794 * [backup-simplify]: Simplify (+ 0 1) into 1 0.794 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.794 * [backup-simplify]: Simplify (- 0) into 0 0.794 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.794 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.795 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.796 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.796 * [taylor]: Taking taylor expansion of 2.0 in re 0.796 * [backup-simplify]: Simplify 2.0 into 2.0 0.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.797 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.797 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.797 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.797 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.797 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.797 * [taylor]: Taking taylor expansion of (* re re) in re 0.797 * [taylor]: Taking taylor expansion of re in re 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [taylor]: Taking taylor expansion of re in re 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [taylor]: Taking taylor expansion of (* im im) in re 0.797 * [taylor]: Taking taylor expansion of im in re 0.797 * [backup-simplify]: Simplify im into im 0.797 * [taylor]: Taking taylor expansion of im in re 0.797 * [backup-simplify]: Simplify im into im 0.798 * [backup-simplify]: Simplify (* 0 0) into 0 0.798 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.798 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.798 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.798 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.798 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.799 * [taylor]: Taking taylor expansion of re in re 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify (+ im 0) into im 0.799 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.799 * [backup-simplify]: Simplify (- 1) into -1 0.799 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.799 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.799 * [taylor]: Taking taylor expansion of 2.0 in re 0.799 * [backup-simplify]: Simplify 2.0 into 2.0 0.800 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.800 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.800 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.800 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.800 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.800 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.800 * [taylor]: Taking taylor expansion of (* re re) in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [taylor]: Taking taylor expansion of (* im im) in re 0.800 * [taylor]: Taking taylor expansion of im in re 0.800 * [backup-simplify]: Simplify im into im 0.800 * [taylor]: Taking taylor expansion of im in re 0.800 * [backup-simplify]: Simplify im into im 0.801 * [backup-simplify]: Simplify (* 0 0) into 0 0.801 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.801 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.801 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.801 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.801 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.802 * [taylor]: Taking taylor expansion of re in re 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.802 * [backup-simplify]: Simplify (+ im 0) into im 0.802 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.802 * [backup-simplify]: Simplify (- 1) into -1 0.803 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.803 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.803 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.803 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.803 * [taylor]: Taking taylor expansion of 2.0 in im 0.803 * [backup-simplify]: Simplify 2.0 into 2.0 0.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.804 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.804 * [taylor]: Taking taylor expansion of im in im 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (sqrt 0) into 0 0.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.806 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.807 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.807 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.807 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.807 * [taylor]: Taking taylor expansion of 1/2 in im 0.807 * [backup-simplify]: Simplify 1/2 into 1/2 0.807 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.807 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.807 * [taylor]: Taking taylor expansion of 2.0 in im 0.807 * [backup-simplify]: Simplify 2.0 into 2.0 0.807 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.808 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (/ 1 1) into 1 0.808 * [backup-simplify]: Simplify (sqrt 0) into 0 0.809 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.813 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.814 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.814 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.818 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.819 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.821 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.823 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.824 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.826 * [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)))))))) 0.827 * [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)) 0.827 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.827 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.827 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.827 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.827 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.827 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.827 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.827 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.827 * [taylor]: Taking taylor expansion of re in im 0.827 * [backup-simplify]: Simplify re into re 0.827 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.827 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.827 * [taylor]: Taking taylor expansion of re in im 0.827 * [backup-simplify]: Simplify re into re 0.827 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.827 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.827 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.827 * [taylor]: Taking taylor expansion of im in im 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.827 * [taylor]: Taking taylor expansion of im in im 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (+ 0 1) into 1 0.828 * [backup-simplify]: Simplify (sqrt 1) into 1 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.830 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.830 * [taylor]: Taking taylor expansion of re in im 0.830 * [backup-simplify]: Simplify re into re 0.830 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.830 * [backup-simplify]: Simplify (+ 1 0) into 1 0.831 * [backup-simplify]: Simplify (sqrt 0) into 0 0.831 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.831 * [taylor]: Taking taylor expansion of 2.0 in im 0.831 * [backup-simplify]: Simplify 2.0 into 2.0 0.832 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.832 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.832 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.832 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.832 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.832 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.832 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.833 * [taylor]: Taking taylor expansion of re in re 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.833 * [taylor]: Taking taylor expansion of im in re 0.833 * [backup-simplify]: Simplify im into im 0.833 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.833 * [taylor]: Taking taylor expansion of im in re 0.833 * [backup-simplify]: Simplify im into im 0.833 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.833 * [backup-simplify]: Simplify (* 1 1) into 1 0.834 * [backup-simplify]: Simplify (+ 1 0) into 1 0.834 * [backup-simplify]: Simplify (sqrt 1) into 1 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.836 * [taylor]: Taking taylor expansion of re in re 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (/ 1 1) into 1 0.836 * [backup-simplify]: Simplify (- 1) into -1 0.836 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.839 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.840 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (- 0) into 0 0.840 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.841 * [backup-simplify]: Simplify (sqrt 0) into 0 0.841 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.841 * [taylor]: Taking taylor expansion of 2.0 in re 0.841 * [backup-simplify]: Simplify 2.0 into 2.0 0.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.842 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.842 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.842 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.842 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.842 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.842 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.842 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.843 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.843 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.843 * [taylor]: Taking taylor expansion of im in re 0.843 * [backup-simplify]: Simplify im into im 0.843 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.843 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.843 * [taylor]: Taking taylor expansion of im in re 0.843 * [backup-simplify]: Simplify im into im 0.843 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (+ 1 0) into 1 0.843 * [backup-simplify]: Simplify (sqrt 1) into 1 0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.845 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.845 * [taylor]: Taking taylor expansion of re in re 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [backup-simplify]: Simplify (- 1) into -1 0.846 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.848 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.848 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.849 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (- 0) into 0 0.850 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.850 * [backup-simplify]: Simplify (sqrt 0) into 0 0.850 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.850 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.850 * [taylor]: Taking taylor expansion of 2.0 in re 0.850 * [backup-simplify]: Simplify 2.0 into 2.0 0.851 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.852 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 0.852 * [taylor]: Taking taylor expansion of 0 in im 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.852 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.852 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.852 * [taylor]: Taking taylor expansion of +nan.0 in im 0.852 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.852 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.852 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.852 * [taylor]: Taking taylor expansion of 2.0 in im 0.852 * [backup-simplify]: Simplify 2.0 into 2.0 0.853 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.853 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.853 * [taylor]: Taking taylor expansion of im in im 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (* 1 1) into 1 0.854 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.855 * [backup-simplify]: Simplify (- 0) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.858 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.858 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- 0) into 0 0.859 * [backup-simplify]: Simplify (+ 0 0) into 0 0.860 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.861 * [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)))) 0.861 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.861 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.861 * [taylor]: Taking taylor expansion of +nan.0 in im 0.861 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.861 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.861 * [taylor]: Taking taylor expansion of 2.0 in im 0.861 * [backup-simplify]: Simplify 2.0 into 2.0 0.861 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.861 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.861 * [taylor]: Taking taylor expansion of im in im 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (* 1 1) into 1 0.862 * [backup-simplify]: Simplify (* 1 1) into 1 0.862 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.869 * [backup-simplify]: Simplify (- 0) into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.871 * [backup-simplify]: Simplify (- 0) into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.877 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (- 0) into 0 0.879 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.879 * [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)))))) 0.880 * [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)))))) 0.880 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.880 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.880 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.880 * [taylor]: Taking taylor expansion of +nan.0 in im 0.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.880 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.880 * [taylor]: Taking taylor expansion of 2.0 in im 0.880 * [backup-simplify]: Simplify 2.0 into 2.0 0.881 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.881 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (* 1 1) into 1 0.882 * [backup-simplify]: Simplify (* 1 1) into 1 0.882 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.882 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.882 * [taylor]: Taking taylor expansion of +nan.0 in im 0.882 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.882 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.882 * [taylor]: Taking taylor expansion of 2.0 in im 0.882 * [backup-simplify]: Simplify 2.0 into 2.0 0.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.883 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.883 * [taylor]: Taking taylor expansion of im in im 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (* 1 1) into 1 0.883 * [backup-simplify]: Simplify (* 1 1) into 1 0.884 * [backup-simplify]: Simplify (* 1 1) into 1 0.884 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.906 * [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))))) 0.906 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.906 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.906 * [taylor]: Taking taylor expansion of 2.0 in im 0.906 * [backup-simplify]: Simplify 2.0 into 2.0 0.906 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.906 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.906 * [taylor]: Taking taylor expansion of re in im 0.906 * [backup-simplify]: Simplify re into re 0.907 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.907 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.907 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.907 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.907 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.907 * [taylor]: Taking taylor expansion of -1 in im 0.907 * [backup-simplify]: Simplify -1 into -1 0.907 * [taylor]: Taking taylor expansion of re in im 0.907 * [backup-simplify]: Simplify re into re 0.907 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.907 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.907 * [taylor]: Taking taylor expansion of -1 in im 0.907 * [backup-simplify]: Simplify -1 into -1 0.907 * [taylor]: Taking taylor expansion of re in im 0.907 * [backup-simplify]: Simplify re into re 0.907 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.907 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.907 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.907 * [taylor]: Taking taylor expansion of -1 in im 0.907 * [backup-simplify]: Simplify -1 into -1 0.907 * [taylor]: Taking taylor expansion of im in im 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (/ -1 1) into -1 0.907 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.907 * [taylor]: Taking taylor expansion of -1 in im 0.907 * [backup-simplify]: Simplify -1 into -1 0.907 * [taylor]: Taking taylor expansion of im in im 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ -1 1) into -1 0.908 * [backup-simplify]: Simplify (* -1 -1) into 1 0.908 * [backup-simplify]: Simplify (+ 0 1) into 1 0.908 * [backup-simplify]: Simplify (sqrt 1) into 1 0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.910 * [backup-simplify]: Simplify (+ 0 1) into 1 0.911 * [backup-simplify]: Simplify (sqrt 0) into 0 0.911 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.911 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.911 * [taylor]: Taking taylor expansion of 2.0 in re 0.911 * [backup-simplify]: Simplify 2.0 into 2.0 0.912 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.912 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.912 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.913 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.913 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.913 * [taylor]: Taking taylor expansion of -1 in re 0.913 * [backup-simplify]: Simplify -1 into -1 0.913 * [taylor]: Taking taylor expansion of re in re 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (/ -1 1) into -1 0.913 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.913 * [taylor]: Taking taylor expansion of -1 in re 0.913 * [backup-simplify]: Simplify -1 into -1 0.913 * [taylor]: Taking taylor expansion of re in re 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (/ -1 1) into -1 0.913 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.913 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.913 * [taylor]: Taking taylor expansion of -1 in re 0.913 * [backup-simplify]: Simplify -1 into -1 0.913 * [taylor]: Taking taylor expansion of im in re 0.913 * [backup-simplify]: Simplify im into im 0.913 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.913 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.913 * [taylor]: Taking taylor expansion of -1 in re 0.913 * [backup-simplify]: Simplify -1 into -1 0.913 * [taylor]: Taking taylor expansion of im in re 0.913 * [backup-simplify]: Simplify im into im 0.913 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.914 * [backup-simplify]: Simplify (* -1 -1) into 1 0.914 * [backup-simplify]: Simplify (+ 1 0) into 1 0.914 * [backup-simplify]: Simplify (sqrt 1) into 1 0.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.916 * [backup-simplify]: Simplify (+ 1 1) into 2 0.916 * [backup-simplify]: Simplify (sqrt 0) into 0 0.917 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.917 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.917 * [taylor]: Taking taylor expansion of 2.0 in re 0.917 * [backup-simplify]: Simplify 2.0 into 2.0 0.917 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.918 * [taylor]: Taking taylor expansion of re in re 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (/ 1 1) into 1 0.918 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.918 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.918 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.918 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.918 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.918 * [taylor]: Taking taylor expansion of -1 in re 0.918 * [backup-simplify]: Simplify -1 into -1 0.918 * [taylor]: Taking taylor expansion of re in re 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (/ -1 1) into -1 0.919 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.919 * [taylor]: Taking taylor expansion of -1 in re 0.919 * [backup-simplify]: Simplify -1 into -1 0.919 * [taylor]: Taking taylor expansion of re in re 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (/ -1 1) into -1 0.919 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.919 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.919 * [taylor]: Taking taylor expansion of -1 in re 0.919 * [backup-simplify]: Simplify -1 into -1 0.919 * [taylor]: Taking taylor expansion of im in re 0.919 * [backup-simplify]: Simplify im into im 0.919 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.919 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.919 * [taylor]: Taking taylor expansion of -1 in re 0.919 * [backup-simplify]: Simplify -1 into -1 0.919 * [taylor]: Taking taylor expansion of im in re 0.919 * [backup-simplify]: Simplify im into im 0.919 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.919 * [backup-simplify]: Simplify (* -1 -1) into 1 0.920 * [backup-simplify]: Simplify (+ 1 0) into 1 0.920 * [backup-simplify]: Simplify (sqrt 1) into 1 0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.922 * [backup-simplify]: Simplify (+ 1 1) into 2 0.922 * [backup-simplify]: Simplify (sqrt 0) into 0 0.923 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.923 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.923 * [taylor]: Taking taylor expansion of 0 in im 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.924 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.924 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.924 * [taylor]: Taking taylor expansion of +nan.0 in im 0.924 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.924 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.924 * [taylor]: Taking taylor expansion of 2.0 in im 0.924 * [backup-simplify]: Simplify 2.0 into 2.0 0.925 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.929 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.929 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.929 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.929 * [taylor]: Taking taylor expansion of +nan.0 in im 0.929 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.929 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.929 * [taylor]: Taking taylor expansion of 2.0 in im 0.929 * [backup-simplify]: Simplify 2.0 into 2.0 0.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.930 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.931 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.932 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.932 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.934 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.934 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.935 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.935 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.936 * [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)) 0.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.938 * [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))))) 0.938 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.938 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.938 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.938 * [taylor]: Taking taylor expansion of +nan.0 in im 0.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.938 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.938 * [taylor]: Taking taylor expansion of 2.0 in im 0.938 * [backup-simplify]: Simplify 2.0 into 2.0 0.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.939 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.939 * [taylor]: Taking taylor expansion of im in im 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (* 1 1) into 1 0.939 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.939 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.939 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.940 * [taylor]: Taking taylor expansion of +nan.0 in im 0.940 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.940 * [taylor]: Taking taylor expansion of 2.0 in im 0.940 * [backup-simplify]: Simplify 2.0 into 2.0 0.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.943 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.944 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.945 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.945 * [backup-simplify]: Simplify (- 0) into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.947 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.947 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [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))) 0.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.951 * [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))))) 0.951 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.951 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.951 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.951 * [taylor]: Taking taylor expansion of +nan.0 in im 0.951 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.951 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.951 * [taylor]: Taking taylor expansion of 2.0 in im 0.951 * [backup-simplify]: Simplify 2.0 into 2.0 0.951 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.952 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.952 * [taylor]: Taking taylor expansion of im in im 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (* 1 1) into 1 0.953 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.953 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.953 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.953 * [taylor]: Taking taylor expansion of +nan.0 in im 0.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.953 * [taylor]: Taking taylor expansion of 2.0 in im 0.953 * [backup-simplify]: Simplify 2.0 into 2.0 0.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.958 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.959 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.960 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.964 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.965 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.968 * [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))))))) 0.968 * * * [progress]: simplifying candidates 0.969 * [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 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* 2.0 (+ (- (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)))) (- im re) 0 (* -2 re) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.969 * [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 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (expm1 (sqrt (* h2 (+ (- (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)))) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h1)) (- (* h3 (* (sqrt h2) (* h1 h0)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (* h3 (/ (sqrt h2) h0))))))) 0.972 * * [simplify]: iteration 0 : 283 enodes (cost 345 ) 0.978 * * [simplify]: iteration 1 : 1118 enodes (cost 247 ) 1.012 * * [simplify]: iteration 2 : 5001 enodes (cost 236 ) 1.014 * * * [progress]: adding candidates to table 1.148 * * [progress]: iteration 3 / 4 1.148 * * * [progress]: picking best candidate 1.163 * * * * [pick]: Picked # 1.163 * * * [progress]: localizing error 1.176 * * * [progress]: generating rewritten candidates 1.176 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1.189 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 1.202 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 1.202 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.205 * * * [progress]: generating series expansions 1.205 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 1.205 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re) 1.205 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.205 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.205 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.205 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.205 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.205 * [taylor]: Taking taylor expansion of (* re re) in im 1.205 * [taylor]: Taking taylor expansion of re in im 1.205 * [backup-simplify]: Simplify re into re 1.205 * [taylor]: Taking taylor expansion of re in im 1.205 * [backup-simplify]: Simplify re into re 1.205 * [taylor]: Taking taylor expansion of (* im im) in im 1.205 * [taylor]: Taking taylor expansion of im in im 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [taylor]: Taking taylor expansion of im in im 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.206 * [backup-simplify]: Simplify (* 0 0) into 0 1.206 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.206 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.206 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.206 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.207 * [taylor]: Taking taylor expansion of re in im 1.207 * [backup-simplify]: Simplify re into re 1.207 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.207 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.207 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.207 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.207 * [taylor]: Taking taylor expansion of (* re re) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [taylor]: Taking taylor expansion of (* im im) in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [backup-simplify]: Simplify im into im 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [backup-simplify]: Simplify im into im 1.207 * [backup-simplify]: Simplify (* 0 0) into 0 1.207 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.207 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.207 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.208 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.208 * [backup-simplify]: Simplify (+ 0 0) into 0 1.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.208 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.208 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.208 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.208 * [taylor]: Taking taylor expansion of (* re re) in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [taylor]: Taking taylor expansion of (* im im) in re 1.208 * [taylor]: Taking taylor expansion of im in re 1.208 * [backup-simplify]: Simplify im into im 1.208 * [taylor]: Taking taylor expansion of im in re 1.208 * [backup-simplify]: Simplify im into im 1.209 * [backup-simplify]: Simplify (* 0 0) into 0 1.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.209 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.209 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.209 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.209 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.210 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.210 * [taylor]: Taking taylor expansion of re in re 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ im 0) into im 1.210 * [taylor]: Taking taylor expansion of im in im 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (- 1) into -1 1.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.211 * [taylor]: Taking taylor expansion of -1 in im 1.211 * [backup-simplify]: Simplify -1 into -1 1.211 * [backup-simplify]: Simplify -1 into -1 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.211 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.212 * [backup-simplify]: Simplify (+ 1 0) into 1 1.212 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.212 * [backup-simplify]: Simplify (- 0) into 0 1.212 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.212 * [taylor]: Taking taylor expansion of 1/2 in im 1.212 * [backup-simplify]: Simplify 1/2 into 1/2 1.212 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.212 * [taylor]: Taking taylor expansion of im in im 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify (/ 1 1) into 1 1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.214 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [taylor]: Taking taylor expansion of 0 in im 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.217 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.217 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.217 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.217 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.217 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.217 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.217 * [taylor]: Taking taylor expansion of re in im 1.217 * [backup-simplify]: Simplify re into re 1.217 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.217 * [taylor]: Taking taylor expansion of re in im 1.217 * [backup-simplify]: Simplify re into re 1.217 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.217 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.217 * [taylor]: Taking taylor expansion of im in im 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (/ 1 1) into 1 1.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.217 * [taylor]: Taking taylor expansion of im in im 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ 1 1) into 1 1.218 * [backup-simplify]: Simplify (* 1 1) into 1 1.218 * [backup-simplify]: Simplify (+ 0 1) into 1 1.218 * [backup-simplify]: Simplify (sqrt 1) into 1 1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.220 * [backup-simplify]: Simplify (+ 0 0) into 0 1.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.220 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.220 * [taylor]: Taking taylor expansion of re in im 1.220 * [backup-simplify]: Simplify re into re 1.220 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.220 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.220 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.220 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.220 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.220 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.221 * [backup-simplify]: Simplify (/ 1 1) into 1 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [backup-simplify]: Simplify (/ 1 1) into 1 1.221 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.221 * [taylor]: Taking taylor expansion of im in re 1.221 * [backup-simplify]: Simplify im into im 1.221 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.221 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.221 * [taylor]: Taking taylor expansion of im in re 1.221 * [backup-simplify]: Simplify im into im 1.221 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.221 * [backup-simplify]: Simplify (* 1 1) into 1 1.222 * [backup-simplify]: Simplify (+ 1 0) into 1 1.222 * [backup-simplify]: Simplify (sqrt 1) into 1 1.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.224 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.224 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.224 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (/ 1 1) into 1 1.225 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.225 * [taylor]: Taking taylor expansion of im in re 1.225 * [backup-simplify]: Simplify im into im 1.225 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.225 * [taylor]: Taking taylor expansion of im in re 1.225 * [backup-simplify]: Simplify im into im 1.225 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.225 * [backup-simplify]: Simplify (* 1 1) into 1 1.225 * [backup-simplify]: Simplify (+ 1 0) into 1 1.226 * [backup-simplify]: Simplify (sqrt 1) into 1 1.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 1.228 * [backup-simplify]: Simplify (/ 1 1) into 1 1.228 * [backup-simplify]: Simplify (- 1) into -1 1.228 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.228 * [taylor]: Taking taylor expansion of 0 in im 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.229 * [backup-simplify]: Simplify (- 0) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [taylor]: Taking taylor expansion of 0 in im 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.230 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.231 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.231 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.232 * [backup-simplify]: Simplify (- 0) into 0 1.232 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.232 * [taylor]: Taking taylor expansion of 1/2 in im 1.232 * [backup-simplify]: Simplify 1/2 into 1/2 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.232 * [taylor]: Taking taylor expansion of im in im 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [backup-simplify]: Simplify (* 1 1) into 1 1.233 * [backup-simplify]: Simplify (/ 1 1) into 1 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.236 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.237 * [backup-simplify]: Simplify (- 0) into 0 1.237 * [backup-simplify]: Simplify (+ 0 0) 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) (+ (* 0 0) (* 0 1))) into 0 1.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1.239 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.239 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.239 * [taylor]: Taking taylor expansion of re in im 1.239 * [backup-simplify]: Simplify re into re 1.239 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.239 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.239 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.239 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.239 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.239 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.239 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [backup-simplify]: Simplify -1 into -1 1.239 * [taylor]: Taking taylor expansion of re in im 1.239 * [backup-simplify]: Simplify re into re 1.239 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.239 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.239 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [backup-simplify]: Simplify -1 into -1 1.239 * [taylor]: Taking taylor expansion of re in im 1.239 * [backup-simplify]: Simplify re into re 1.239 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.239 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.239 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.239 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [backup-simplify]: Simplify -1 into -1 1.239 * [taylor]: Taking taylor expansion of im in im 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ -1 1) into -1 1.240 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.240 * [taylor]: Taking taylor expansion of -1 in im 1.240 * [backup-simplify]: Simplify -1 into -1 1.240 * [taylor]: Taking taylor expansion of im in im 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ -1 1) into -1 1.240 * [backup-simplify]: Simplify (* -1 -1) into 1 1.241 * [backup-simplify]: Simplify (+ 0 1) into 1 1.241 * [backup-simplify]: Simplify (sqrt 1) into 1 1.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (/ 1 1) into 1 1.243 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.243 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.243 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.243 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.243 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.243 * [taylor]: Taking taylor expansion of -1 in re 1.243 * [backup-simplify]: Simplify -1 into -1 1.243 * [taylor]: Taking taylor expansion of re in re 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (/ -1 1) into -1 1.243 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.243 * [taylor]: Taking taylor expansion of -1 in re 1.243 * [backup-simplify]: Simplify -1 into -1 1.243 * [taylor]: Taking taylor expansion of re in re 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ -1 1) into -1 1.244 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.244 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.244 * [taylor]: Taking taylor expansion of -1 in re 1.244 * [backup-simplify]: Simplify -1 into -1 1.244 * [taylor]: Taking taylor expansion of im in re 1.244 * [backup-simplify]: Simplify im into im 1.244 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.244 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.244 * [taylor]: Taking taylor expansion of -1 in re 1.244 * [backup-simplify]: Simplify -1 into -1 1.244 * [taylor]: Taking taylor expansion of im in re 1.244 * [backup-simplify]: Simplify im into im 1.244 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.244 * [backup-simplify]: Simplify (* -1 -1) into 1 1.244 * [backup-simplify]: Simplify (+ 1 0) into 1 1.245 * [backup-simplify]: Simplify (sqrt 1) into 1 1.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.250 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.250 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.250 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.250 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.250 * [taylor]: Taking taylor expansion of -1 in re 1.250 * [backup-simplify]: Simplify -1 into -1 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (/ -1 1) into -1 1.251 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.251 * [taylor]: Taking taylor expansion of -1 in re 1.251 * [backup-simplify]: Simplify -1 into -1 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (/ -1 1) into -1 1.251 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.251 * [taylor]: Taking taylor expansion of -1 in re 1.251 * [backup-simplify]: Simplify -1 into -1 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [backup-simplify]: Simplify im into im 1.251 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.251 * [taylor]: Taking taylor expansion of -1 in re 1.251 * [backup-simplify]: Simplify -1 into -1 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [backup-simplify]: Simplify im into im 1.251 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.252 * [backup-simplify]: Simplify (* -1 -1) into 1 1.252 * [backup-simplify]: Simplify (+ 1 0) into 1 1.252 * [backup-simplify]: Simplify (sqrt 1) into 1 1.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.254 * [backup-simplify]: Simplify (+ 1 1) into 2 1.254 * [taylor]: Taking taylor expansion of 2 in im 1.254 * [backup-simplify]: Simplify 2 into 2 1.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [taylor]: Taking taylor expansion of 0 in im 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 2 into 2 1.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.257 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.257 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.258 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.258 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.258 * [taylor]: Taking taylor expansion of 1/2 in im 1.258 * [backup-simplify]: Simplify 1/2 into 1/2 1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.258 * [taylor]: Taking taylor expansion of im in im 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 1 into 1 1.258 * [backup-simplify]: Simplify (* 1 1) into 1 1.258 * [backup-simplify]: Simplify (/ 1 1) into 1 1.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.262 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.262 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [taylor]: Taking taylor expansion of 0 in im 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.264 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 1.265 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 1.265 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.265 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.265 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.265 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.265 * [taylor]: Taking taylor expansion of (* re re) in im 1.265 * [taylor]: Taking taylor expansion of re in im 1.265 * [backup-simplify]: Simplify re into re 1.265 * [taylor]: Taking taylor expansion of re in im 1.265 * [backup-simplify]: Simplify re into re 1.265 * [taylor]: Taking taylor expansion of (* im im) in im 1.265 * [taylor]: Taking taylor expansion of im in im 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [taylor]: Taking taylor expansion of im in im 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.265 * [backup-simplify]: Simplify (* 0 0) into 0 1.265 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.265 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.265 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.266 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.266 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.266 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.266 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.266 * [taylor]: Taking taylor expansion of (* re re) in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [taylor]: Taking taylor expansion of (* im im) in re 1.266 * [taylor]: Taking taylor expansion of im in re 1.266 * [backup-simplify]: Simplify im into im 1.266 * [taylor]: Taking taylor expansion of im in re 1.266 * [backup-simplify]: Simplify im into im 1.267 * [backup-simplify]: Simplify (* 0 0) into 0 1.267 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.267 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.267 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.267 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.268 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.268 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.268 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.268 * [taylor]: Taking taylor expansion of (* re re) in re 1.268 * [taylor]: Taking taylor expansion of re in re 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [taylor]: Taking taylor expansion of re in re 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [taylor]: Taking taylor expansion of (* im im) in re 1.268 * [taylor]: Taking taylor expansion of im in re 1.268 * [backup-simplify]: Simplify im into im 1.268 * [taylor]: Taking taylor expansion of im in re 1.268 * [backup-simplify]: Simplify im into im 1.268 * [backup-simplify]: Simplify (* 0 0) into 0 1.268 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.268 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.268 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.269 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.269 * [taylor]: Taking taylor expansion of im in im 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [taylor]: Taking taylor expansion of 0 in im 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.270 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.270 * [backup-simplify]: Simplify (+ 1 0) into 1 1.271 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.271 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.271 * [taylor]: Taking taylor expansion of 1/2 in im 1.271 * [backup-simplify]: Simplify 1/2 into 1/2 1.271 * [taylor]: Taking taylor expansion of im in im 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 1 into 1 1.271 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 1.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.272 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.273 * [taylor]: Taking taylor expansion of 0 in im 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.274 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 1.274 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.274 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.274 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.274 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.274 * [taylor]: Taking taylor expansion of re in im 1.274 * [backup-simplify]: Simplify re into re 1.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.274 * [taylor]: Taking taylor expansion of re in im 1.274 * [backup-simplify]: Simplify re into re 1.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.274 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [backup-simplify]: Simplify (/ 1 1) into 1 1.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify (/ 1 1) into 1 1.275 * [backup-simplify]: Simplify (* 1 1) into 1 1.275 * [backup-simplify]: Simplify (+ 0 1) into 1 1.275 * [backup-simplify]: Simplify (sqrt 1) into 1 1.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.277 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.277 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.277 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.277 * [taylor]: Taking taylor expansion of re in re 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (/ 1 1) into 1 1.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (/ 1 1) into 1 1.278 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.278 * [taylor]: Taking taylor expansion of im in re 1.278 * [backup-simplify]: Simplify im into im 1.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.278 * [taylor]: Taking taylor expansion of im in re 1.278 * [backup-simplify]: Simplify im into im 1.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.278 * [backup-simplify]: Simplify (* 1 1) into 1 1.279 * [backup-simplify]: Simplify (+ 1 0) into 1 1.279 * [backup-simplify]: Simplify (sqrt 1) into 1 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.281 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.281 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.281 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.281 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.281 * [taylor]: Taking taylor expansion of re in re 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (/ 1 1) into 1 1.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.281 * [taylor]: Taking taylor expansion of re in re 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (/ 1 1) into 1 1.281 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.281 * [taylor]: Taking taylor expansion of im in re 1.281 * [backup-simplify]: Simplify im into im 1.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.281 * [taylor]: Taking taylor expansion of im in re 1.281 * [backup-simplify]: Simplify im into im 1.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.282 * [backup-simplify]: Simplify (* 1 1) into 1 1.282 * [backup-simplify]: Simplify (+ 1 0) into 1 1.282 * [backup-simplify]: Simplify (sqrt 1) into 1 1.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.283 * [backup-simplify]: Simplify (+ 0 0) into 0 1.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.284 * [taylor]: Taking taylor expansion of 1 in im 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [taylor]: Taking taylor expansion of 0 in im 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.286 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.286 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.286 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.286 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.286 * [taylor]: Taking taylor expansion of 1/2 in im 1.286 * [backup-simplify]: Simplify 1/2 into 1/2 1.287 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.287 * [taylor]: Taking taylor expansion of im in im 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify (* 1 1) into 1 1.287 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.290 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.290 * [taylor]: Taking taylor expansion of 0 in im 1.290 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.292 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 1.292 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.292 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.292 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.292 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.292 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.292 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.292 * [taylor]: Taking taylor expansion of -1 in im 1.292 * [backup-simplify]: Simplify -1 into -1 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [backup-simplify]: Simplify re into re 1.292 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.292 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.292 * [taylor]: Taking taylor expansion of -1 in im 1.292 * [backup-simplify]: Simplify -1 into -1 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [backup-simplify]: Simplify re into re 1.292 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.292 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.292 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.292 * [taylor]: Taking taylor expansion of -1 in im 1.292 * [backup-simplify]: Simplify -1 into -1 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (/ -1 1) into -1 1.292 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.292 * [taylor]: Taking taylor expansion of -1 in im 1.292 * [backup-simplify]: Simplify -1 into -1 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (/ -1 1) into -1 1.293 * [backup-simplify]: Simplify (* -1 -1) into 1 1.293 * [backup-simplify]: Simplify (+ 0 1) into 1 1.293 * [backup-simplify]: Simplify (sqrt 1) into 1 1.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.295 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.295 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.295 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.295 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.295 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.295 * [taylor]: Taking taylor expansion of -1 in re 1.295 * [backup-simplify]: Simplify -1 into -1 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (/ -1 1) into -1 1.296 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.296 * [taylor]: Taking taylor expansion of -1 in re 1.296 * [backup-simplify]: Simplify -1 into -1 1.296 * [taylor]: Taking taylor expansion of re in re 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (/ -1 1) into -1 1.296 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.296 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.296 * [taylor]: Taking taylor expansion of -1 in re 1.296 * [backup-simplify]: Simplify -1 into -1 1.296 * [taylor]: Taking taylor expansion of im in re 1.296 * [backup-simplify]: Simplify im into im 1.296 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.296 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.296 * [taylor]: Taking taylor expansion of -1 in re 1.296 * [backup-simplify]: Simplify -1 into -1 1.296 * [taylor]: Taking taylor expansion of im in re 1.296 * [backup-simplify]: Simplify im into im 1.296 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.297 * [backup-simplify]: Simplify (* -1 -1) into 1 1.297 * [backup-simplify]: Simplify (+ 1 0) into 1 1.297 * [backup-simplify]: Simplify (sqrt 1) into 1 1.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.299 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.299 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.299 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.299 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.299 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.299 * [taylor]: Taking taylor expansion of -1 in re 1.299 * [backup-simplify]: Simplify -1 into -1 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [backup-simplify]: Simplify (/ -1 1) into -1 1.299 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.299 * [taylor]: Taking taylor expansion of -1 in re 1.299 * [backup-simplify]: Simplify -1 into -1 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.300 * [backup-simplify]: Simplify (/ -1 1) into -1 1.300 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.300 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.300 * [taylor]: Taking taylor expansion of -1 in re 1.300 * [backup-simplify]: Simplify -1 into -1 1.300 * [taylor]: Taking taylor expansion of im in re 1.300 * [backup-simplify]: Simplify im into im 1.300 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.300 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.300 * [taylor]: Taking taylor expansion of -1 in re 1.300 * [backup-simplify]: Simplify -1 into -1 1.300 * [taylor]: Taking taylor expansion of im in re 1.300 * [backup-simplify]: Simplify im into im 1.300 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.300 * [backup-simplify]: Simplify (* -1 -1) into 1 1.300 * [backup-simplify]: Simplify (+ 1 0) into 1 1.301 * [backup-simplify]: Simplify (sqrt 1) into 1 1.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.302 * [taylor]: Taking taylor expansion of 1 in im 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [taylor]: Taking taylor expansion of 0 in im 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.304 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.304 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.305 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.305 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.305 * [taylor]: Taking taylor expansion of 1/2 in im 1.305 * [backup-simplify]: Simplify 1/2 into 1/2 1.305 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.305 * [taylor]: Taking taylor expansion of im in im 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (* 1 1) into 1 1.306 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.309 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.309 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.309 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.309 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.309 * [taylor]: Taking taylor expansion of 0 in im 1.309 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.311 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1) 1.311 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 1.311 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.311 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.311 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.311 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.311 * [taylor]: Taking taylor expansion of (* re re) in im 1.311 * [taylor]: Taking taylor expansion of re in im 1.311 * [backup-simplify]: Simplify re into re 1.311 * [taylor]: Taking taylor expansion of re in im 1.311 * [backup-simplify]: Simplify re into re 1.311 * [taylor]: Taking taylor expansion of (* im im) in im 1.311 * [taylor]: Taking taylor expansion of im in im 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [taylor]: Taking taylor expansion of im in im 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.311 * [backup-simplify]: Simplify (* 0 0) into 0 1.311 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.311 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.311 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.312 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.312 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.312 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.312 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.312 * [taylor]: Taking taylor expansion of (* re re) in re 1.312 * [taylor]: Taking taylor expansion of re in re 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [taylor]: Taking taylor expansion of re in re 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [taylor]: Taking taylor expansion of (* im im) in re 1.312 * [taylor]: Taking taylor expansion of im in re 1.312 * [backup-simplify]: Simplify im into im 1.312 * [taylor]: Taking taylor expansion of im in re 1.312 * [backup-simplify]: Simplify im into im 1.313 * [backup-simplify]: Simplify (* 0 0) into 0 1.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.313 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.313 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.313 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.314 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.314 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.314 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.314 * [taylor]: Taking taylor expansion of (* re re) in re 1.314 * [taylor]: Taking taylor expansion of re in re 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of re in re 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of (* im im) in re 1.314 * [taylor]: Taking taylor expansion of im in re 1.314 * [backup-simplify]: Simplify im into im 1.314 * [taylor]: Taking taylor expansion of im in re 1.314 * [backup-simplify]: Simplify im into im 1.314 * [backup-simplify]: Simplify (* 0 0) into 0 1.314 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.314 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.314 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.315 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.315 * [backup-simplify]: Simplify (+ 0 0) into 0 1.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.315 * [taylor]: Taking taylor expansion of im in im 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [taylor]: Taking taylor expansion of 0 in im 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.316 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.316 * [backup-simplify]: Simplify (+ 1 0) into 1 1.317 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.317 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.317 * [taylor]: Taking taylor expansion of 1/2 in im 1.317 * [backup-simplify]: Simplify 1/2 into 1/2 1.317 * [taylor]: Taking taylor expansion of im in im 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.319 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.319 * [taylor]: Taking taylor expansion of 0 in im 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.320 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 1.320 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.320 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.320 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.320 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.320 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.320 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.320 * [taylor]: Taking taylor expansion of re in im 1.320 * [backup-simplify]: Simplify re into re 1.320 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.320 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.320 * [taylor]: Taking taylor expansion of re in im 1.320 * [backup-simplify]: Simplify re into re 1.320 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.320 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.320 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.320 * [taylor]: Taking taylor expansion of im in im 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [backup-simplify]: Simplify (/ 1 1) into 1 1.320 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.320 * [taylor]: Taking taylor expansion of im in im 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (/ 1 1) into 1 1.321 * [backup-simplify]: Simplify (* 1 1) into 1 1.321 * [backup-simplify]: Simplify (+ 0 1) into 1 1.321 * [backup-simplify]: Simplify (sqrt 1) into 1 1.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.323 * [backup-simplify]: Simplify (+ 0 0) into 0 1.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.323 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.323 * [taylor]: Taking taylor expansion of re in re 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.323 * [taylor]: Taking taylor expansion of re in re 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (/ 1 1) into 1 1.324 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.324 * [backup-simplify]: Simplify im into im 1.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.324 * [backup-simplify]: Simplify im into im 1.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.324 * [backup-simplify]: Simplify (* 1 1) into 1 1.325 * [backup-simplify]: Simplify (+ 1 0) into 1 1.325 * [backup-simplify]: Simplify (sqrt 1) into 1 1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.327 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.327 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.327 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (/ 1 1) into 1 1.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (/ 1 1) into 1 1.327 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.327 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.327 * [taylor]: Taking taylor expansion of im in re 1.327 * [backup-simplify]: Simplify im into im 1.327 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.327 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.327 * [taylor]: Taking taylor expansion of im in re 1.327 * [backup-simplify]: Simplify im into im 1.327 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.328 * [backup-simplify]: Simplify (* 1 1) into 1 1.328 * [backup-simplify]: Simplify (+ 1 0) into 1 1.328 * [backup-simplify]: Simplify (sqrt 1) into 1 1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.330 * [taylor]: Taking taylor expansion of 1 in im 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of 0 in im 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.332 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.332 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.332 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.332 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.332 * [taylor]: Taking taylor expansion of 1/2 in im 1.332 * [backup-simplify]: Simplify 1/2 into 1/2 1.332 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.333 * [taylor]: Taking taylor expansion of im in im 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (* 1 1) into 1 1.333 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.336 * [taylor]: Taking taylor expansion of 0 in im 1.336 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.337 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 1.337 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.337 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.338 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.338 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.338 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.338 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.338 * [taylor]: Taking taylor expansion of -1 in im 1.338 * [backup-simplify]: Simplify -1 into -1 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [backup-simplify]: Simplify re into re 1.338 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.338 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.338 * [taylor]: Taking taylor expansion of -1 in im 1.338 * [backup-simplify]: Simplify -1 into -1 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [backup-simplify]: Simplify re into re 1.338 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.338 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.338 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.338 * [taylor]: Taking taylor expansion of -1 in im 1.338 * [backup-simplify]: Simplify -1 into -1 1.338 * [taylor]: Taking taylor expansion of im in im 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (/ -1 1) into -1 1.338 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.338 * [taylor]: Taking taylor expansion of -1 in im 1.338 * [backup-simplify]: Simplify -1 into -1 1.338 * [taylor]: Taking taylor expansion of im in im 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (/ -1 1) into -1 1.339 * [backup-simplify]: Simplify (* -1 -1) into 1 1.339 * [backup-simplify]: Simplify (+ 0 1) into 1 1.339 * [backup-simplify]: Simplify (sqrt 1) into 1 1.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.343 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.344 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.344 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.344 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.344 * [taylor]: Taking taylor expansion of -1 in re 1.344 * [backup-simplify]: Simplify -1 into -1 1.344 * [taylor]: Taking taylor expansion of re in re 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (/ -1 1) into -1 1.344 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.344 * [taylor]: Taking taylor expansion of -1 in re 1.344 * [backup-simplify]: Simplify -1 into -1 1.344 * [taylor]: Taking taylor expansion of re in re 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (/ -1 1) into -1 1.344 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.344 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.344 * [taylor]: Taking taylor expansion of -1 in re 1.344 * [backup-simplify]: Simplify -1 into -1 1.344 * [taylor]: Taking taylor expansion of im in re 1.344 * [backup-simplify]: Simplify im into im 1.344 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.344 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.345 * [taylor]: Taking taylor expansion of -1 in re 1.345 * [backup-simplify]: Simplify -1 into -1 1.345 * [taylor]: Taking taylor expansion of im in re 1.345 * [backup-simplify]: Simplify im into im 1.345 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.345 * [backup-simplify]: Simplify (* -1 -1) into 1 1.345 * [backup-simplify]: Simplify (+ 1 0) into 1 1.345 * [backup-simplify]: Simplify (sqrt 1) into 1 1.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.347 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.347 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.347 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.347 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.347 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.347 * [taylor]: Taking taylor expansion of -1 in re 1.347 * [backup-simplify]: Simplify -1 into -1 1.347 * [taylor]: Taking taylor expansion of re in re 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (/ -1 1) into -1 1.348 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.348 * [taylor]: Taking taylor expansion of -1 in re 1.348 * [backup-simplify]: Simplify -1 into -1 1.348 * [taylor]: Taking taylor expansion of re in re 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (/ -1 1) into -1 1.348 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.348 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.348 * [taylor]: Taking taylor expansion of -1 in re 1.348 * [backup-simplify]: Simplify -1 into -1 1.348 * [taylor]: Taking taylor expansion of im in re 1.348 * [backup-simplify]: Simplify im into im 1.348 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.348 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.348 * [taylor]: Taking taylor expansion of -1 in re 1.348 * [backup-simplify]: Simplify -1 into -1 1.348 * [taylor]: Taking taylor expansion of im in re 1.348 * [backup-simplify]: Simplify im into im 1.348 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.348 * [backup-simplify]: Simplify (* -1 -1) into 1 1.349 * [backup-simplify]: Simplify (+ 1 0) into 1 1.349 * [backup-simplify]: Simplify (sqrt 1) into 1 1.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.351 * [taylor]: Taking taylor expansion of 1 in im 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [taylor]: Taking taylor expansion of 0 in im 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.352 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.353 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.353 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.353 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.353 * [taylor]: Taking taylor expansion of 1/2 in im 1.353 * [backup-simplify]: Simplify 1/2 into 1/2 1.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.353 * [taylor]: Taking taylor expansion of im in im 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.356 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.357 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.357 * [taylor]: Taking taylor expansion of 0 in im 1.357 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 1.358 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.358 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.359 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 1.359 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.359 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.359 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.359 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.359 * [taylor]: Taking taylor expansion of (* re re) in im 1.359 * [taylor]: Taking taylor expansion of re in im 1.359 * [backup-simplify]: Simplify re into re 1.359 * [taylor]: Taking taylor expansion of re in im 1.359 * [backup-simplify]: Simplify re into re 1.359 * [taylor]: Taking taylor expansion of (* im im) in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [taylor]: Taking taylor expansion of im in im 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.359 * [backup-simplify]: Simplify (* 0 0) into 0 1.359 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.359 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.359 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.360 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.360 * [backup-simplify]: Simplify (+ 0 0) into 0 1.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.360 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.360 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.360 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.360 * [taylor]: Taking taylor expansion of (* re re) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of (* im im) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [backup-simplify]: Simplify im into im 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [backup-simplify]: Simplify im into im 1.361 * [backup-simplify]: Simplify (* 0 0) into 0 1.361 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.361 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.361 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.361 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.361 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.362 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.362 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.362 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.362 * [taylor]: Taking taylor expansion of (* re re) in re 1.362 * [taylor]: Taking taylor expansion of re in re 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [taylor]: Taking taylor expansion of re in re 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [taylor]: Taking taylor expansion of (* im im) in re 1.362 * [taylor]: Taking taylor expansion of im in re 1.362 * [backup-simplify]: Simplify im into im 1.362 * [taylor]: Taking taylor expansion of im in re 1.362 * [backup-simplify]: Simplify im into im 1.362 * [backup-simplify]: Simplify (* 0 0) into 0 1.362 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.362 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.362 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.363 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.363 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.363 * [taylor]: Taking taylor expansion of im in im 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [taylor]: Taking taylor expansion of 0 in im 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.364 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.364 * [backup-simplify]: Simplify (+ 1 0) into 1 1.364 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.365 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.365 * [taylor]: Taking taylor expansion of 1/2 in im 1.365 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 1.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.366 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.367 * [taylor]: Taking taylor expansion of 0 in im 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.367 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 1.367 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.367 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.368 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.368 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.368 * [taylor]: Taking taylor expansion of re in im 1.368 * [backup-simplify]: Simplify re into re 1.368 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.368 * [taylor]: Taking taylor expansion of re in im 1.368 * [backup-simplify]: Simplify re into re 1.368 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.368 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.368 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.369 * [backup-simplify]: Simplify (+ 0 1) into 1 1.369 * [backup-simplify]: Simplify (sqrt 1) into 1 1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.371 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.371 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.371 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.371 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.372 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.372 * [taylor]: Taking taylor expansion of im in re 1.372 * [backup-simplify]: Simplify im into im 1.372 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.372 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.372 * [taylor]: Taking taylor expansion of im in re 1.372 * [backup-simplify]: Simplify im into im 1.372 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.372 * [backup-simplify]: Simplify (* 1 1) into 1 1.372 * [backup-simplify]: Simplify (+ 1 0) into 1 1.372 * [backup-simplify]: Simplify (sqrt 1) into 1 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.374 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.374 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.374 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (/ 1 1) into 1 1.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (/ 1 1) into 1 1.375 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [backup-simplify]: Simplify im into im 1.375 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [backup-simplify]: Simplify im into im 1.375 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.375 * [backup-simplify]: Simplify (* 1 1) into 1 1.376 * [backup-simplify]: Simplify (+ 1 0) into 1 1.376 * [backup-simplify]: Simplify (sqrt 1) into 1 1.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.377 * [backup-simplify]: Simplify (+ 0 0) into 0 1.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.378 * [taylor]: Taking taylor expansion of 1 in im 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [taylor]: Taking taylor expansion of 0 in im 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.379 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.379 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.380 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.380 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.380 * [taylor]: Taking taylor expansion of 1/2 in im 1.380 * [backup-simplify]: Simplify 1/2 into 1/2 1.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (* 1 1) into 1 1.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.383 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.384 * [taylor]: Taking taylor expansion of 0 in im 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.385 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 1.385 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.385 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.385 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.385 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.385 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.386 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.386 * [taylor]: Taking taylor expansion of -1 in im 1.386 * [backup-simplify]: Simplify -1 into -1 1.386 * [taylor]: Taking taylor expansion of re in im 1.386 * [backup-simplify]: Simplify re into re 1.386 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.386 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.386 * [taylor]: Taking taylor expansion of -1 in im 1.386 * [backup-simplify]: Simplify -1 into -1 1.386 * [taylor]: Taking taylor expansion of re in im 1.386 * [backup-simplify]: Simplify re into re 1.386 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.386 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.386 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.386 * [taylor]: Taking taylor expansion of -1 in im 1.386 * [backup-simplify]: Simplify -1 into -1 1.386 * [taylor]: Taking taylor expansion of im in im 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (/ -1 1) into -1 1.386 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.386 * [taylor]: Taking taylor expansion of -1 in im 1.386 * [backup-simplify]: Simplify -1 into -1 1.386 * [taylor]: Taking taylor expansion of im in im 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (/ -1 1) into -1 1.387 * [backup-simplify]: Simplify (* -1 -1) into 1 1.387 * [backup-simplify]: Simplify (+ 0 1) into 1 1.387 * [backup-simplify]: Simplify (sqrt 1) into 1 1.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.389 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.389 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.389 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.389 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.389 * [taylor]: Taking taylor expansion of -1 in re 1.389 * [backup-simplify]: Simplify -1 into -1 1.389 * [taylor]: Taking taylor expansion of re in re 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (/ -1 1) into -1 1.389 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.389 * [taylor]: Taking taylor expansion of -1 in re 1.389 * [backup-simplify]: Simplify -1 into -1 1.389 * [taylor]: Taking taylor expansion of re in re 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (/ -1 1) into -1 1.390 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.390 * [taylor]: Taking taylor expansion of -1 in re 1.390 * [backup-simplify]: Simplify -1 into -1 1.390 * [taylor]: Taking taylor expansion of im in re 1.390 * [backup-simplify]: Simplify im into im 1.390 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.390 * [taylor]: Taking taylor expansion of -1 in re 1.390 * [backup-simplify]: Simplify -1 into -1 1.390 * [taylor]: Taking taylor expansion of im in re 1.390 * [backup-simplify]: Simplify im into im 1.390 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.390 * [backup-simplify]: Simplify (* -1 -1) into 1 1.390 * [backup-simplify]: Simplify (+ 1 0) into 1 1.391 * [backup-simplify]: Simplify (sqrt 1) into 1 1.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.393 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.393 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.393 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.393 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.393 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.393 * [taylor]: Taking taylor expansion of -1 in re 1.393 * [backup-simplify]: Simplify -1 into -1 1.393 * [taylor]: Taking taylor expansion of re in re 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (/ -1 1) into -1 1.393 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.393 * [taylor]: Taking taylor expansion of -1 in re 1.393 * [backup-simplify]: Simplify -1 into -1 1.393 * [taylor]: Taking taylor expansion of re in re 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ -1 1) into -1 1.394 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [backup-simplify]: Simplify -1 into -1 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [backup-simplify]: Simplify im into im 1.394 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.394 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [backup-simplify]: Simplify -1 into -1 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [backup-simplify]: Simplify im into im 1.394 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.394 * [backup-simplify]: Simplify (* -1 -1) into 1 1.394 * [backup-simplify]: Simplify (+ 1 0) into 1 1.395 * [backup-simplify]: Simplify (sqrt 1) into 1 1.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.396 * [taylor]: Taking taylor expansion of 1 in im 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [taylor]: Taking taylor expansion of 0 in im 1.396 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.398 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.399 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.399 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.399 * [taylor]: Taking taylor expansion of 1/2 in im 1.399 * [backup-simplify]: Simplify 1/2 into 1/2 1.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.399 * [taylor]: Taking taylor expansion of im in im 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (* 1 1) into 1 1.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.402 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.403 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.403 * [taylor]: Taking taylor expansion of 0 in im 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.404 * * * [progress]: simplifying candidates 1.406 * [simplify]: Simplifying: (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)) (expm1 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- re) (/ (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.406 * [simplify]: Sending expressions to egg_math: (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)) (expm1 (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (log1p (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (- h0) (/ (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (exp h0)) (log (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (exp (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (* (cbrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (cbrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0))) (cbrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (* (* (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0) (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (sqrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (sqrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (- (pow (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) 3) (pow h0 3)) (+ (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ (* h0 h0) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0))) (- h0) (- (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* h0 h0)) (+ (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0) (+ (sqrt (hypot h0 h1)) (sqrt h0)) (- (sqrt (hypot h0 h1)) (sqrt h0)) (- h0) (expm1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (log1p (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h0 h1) (hypot h0 h1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (hypot h0 h1) (hypot h0 h1)) (+ 1 1) (+ (log (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1)))) (log (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))) (* (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (hypot h0 h1) (hypot h0 h1)) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 1 1) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h0 h1)) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) 1) (* (cbrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 1.410 * * [simplify]: iteration 0 : 198 enodes (cost 388 ) 1.414 * * [simplify]: iteration 1 : 788 enodes (cost 297 ) 1.439 * * [simplify]: iteration 2 : 5002 enodes (cost 285 ) 1.441 * * * [progress]: adding candidates to table 1.655 * * [progress]: iteration 4 / 4 1.655 * * * [progress]: picking best candidate 1.668 * * * * [pick]: Picked # 1.668 * * * [progress]: localizing error 1.682 * * * [progress]: generating rewritten candidates 1.682 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1.703 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.709 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 1.739 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2) 1.750 * * * [progress]: generating series expansions 1.750 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 1.750 * [backup-simplify]: Simplify (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) into (- (hypot re im) re) 1.750 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.750 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.750 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.750 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.750 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.750 * [taylor]: Taking taylor expansion of (* re re) in im 1.750 * [taylor]: Taking taylor expansion of re in im 1.751 * [backup-simplify]: Simplify re into re 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [backup-simplify]: Simplify re into re 1.751 * [taylor]: Taking taylor expansion of (* im im) in im 1.751 * [taylor]: Taking taylor expansion of im in im 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [taylor]: Taking taylor expansion of im in im 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.751 * [backup-simplify]: Simplify (* 0 0) into 0 1.751 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.751 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.751 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.752 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.752 * [taylor]: Taking taylor expansion of re in im 1.752 * [backup-simplify]: Simplify re into re 1.752 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.752 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.752 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.752 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.752 * [taylor]: Taking taylor expansion of (* re re) in re 1.752 * [taylor]: Taking taylor expansion of re in re 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of re in re 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of (* im im) in re 1.752 * [taylor]: Taking taylor expansion of im in re 1.753 * [backup-simplify]: Simplify im into im 1.753 * [taylor]: Taking taylor expansion of im in re 1.753 * [backup-simplify]: Simplify im into im 1.753 * [backup-simplify]: Simplify (* 0 0) into 0 1.753 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.753 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.753 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.753 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.753 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.754 * [taylor]: Taking taylor expansion of re in re 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.754 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.754 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.754 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.754 * [taylor]: Taking taylor expansion of (* re re) in re 1.754 * [taylor]: Taking taylor expansion of re in re 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [taylor]: Taking taylor expansion of re in re 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [taylor]: Taking taylor expansion of (* im im) in re 1.754 * [taylor]: Taking taylor expansion of im in re 1.754 * [backup-simplify]: Simplify im into im 1.754 * [taylor]: Taking taylor expansion of im in re 1.754 * [backup-simplify]: Simplify im into im 1.754 * [backup-simplify]: Simplify (* 0 0) into 0 1.754 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.755 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.755 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.755 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.755 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.755 * [taylor]: Taking taylor expansion of re in re 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (- 0) into 0 1.756 * [backup-simplify]: Simplify (+ im 0) into im 1.756 * [taylor]: Taking taylor expansion of im in im 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (- 1) into -1 1.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.756 * [taylor]: Taking taylor expansion of -1 in im 1.756 * [backup-simplify]: Simplify -1 into -1 1.756 * [backup-simplify]: Simplify -1 into -1 1.756 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.757 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.757 * [backup-simplify]: Simplify (+ 1 0) into 1 1.758 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.758 * [backup-simplify]: Simplify (- 0) into 0 1.758 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.758 * [taylor]: Taking taylor expansion of 1/2 in im 1.758 * [backup-simplify]: Simplify 1/2 into 1/2 1.758 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.758 * [taylor]: Taking taylor expansion of im in im 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.759 * [backup-simplify]: Simplify (/ 1 1) into 1 1.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.761 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.761 * [backup-simplify]: Simplify (- 0) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [taylor]: Taking taylor expansion of 0 in im 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.763 * [backup-simplify]: Simplify (- (* (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.763 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.763 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.763 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.763 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.763 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.763 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.763 * [taylor]: Taking taylor expansion of re in im 1.763 * [backup-simplify]: Simplify re into re 1.763 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.763 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.763 * [taylor]: Taking taylor expansion of re in im 1.763 * [backup-simplify]: Simplify re into re 1.763 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.763 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.763 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.763 * [taylor]: Taking taylor expansion of im in im 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.764 * [taylor]: Taking taylor expansion of im in im 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (+ 0 1) into 1 1.764 * [backup-simplify]: Simplify (sqrt 1) into 1 1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.766 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.766 * [taylor]: Taking taylor expansion of re in im 1.766 * [backup-simplify]: Simplify re into re 1.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.766 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.766 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.767 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.767 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.767 * [taylor]: Taking taylor expansion of re in re 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (/ 1 1) into 1 1.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.767 * [taylor]: Taking taylor expansion of re in re 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (/ 1 1) into 1 1.767 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.767 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.767 * [taylor]: Taking taylor expansion of im in re 1.767 * [backup-simplify]: Simplify im into im 1.767 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.767 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.767 * [taylor]: Taking taylor expansion of im in re 1.767 * [backup-simplify]: Simplify im into im 1.767 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.768 * [backup-simplify]: Simplify (* 1 1) into 1 1.768 * [backup-simplify]: Simplify (+ 1 0) into 1 1.768 * [backup-simplify]: Simplify (sqrt 1) into 1 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.770 * [taylor]: Taking taylor expansion of re in re 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (/ 1 1) into 1 1.770 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.770 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.770 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.770 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.770 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.770 * [taylor]: Taking taylor expansion of re in re 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.771 * [taylor]: Taking taylor expansion of re in re 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.771 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.771 * [taylor]: Taking taylor expansion of im in re 1.771 * [backup-simplify]: Simplify im into im 1.771 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.771 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.771 * [taylor]: Taking taylor expansion of im in re 1.771 * [backup-simplify]: Simplify im into im 1.771 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.771 * [backup-simplify]: Simplify (* 1 1) into 1 1.771 * [backup-simplify]: Simplify (+ 1 0) into 1 1.772 * [backup-simplify]: Simplify (sqrt 1) into 1 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.773 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.774 * [backup-simplify]: Simplify (/ 1 1) into 1 1.774 * [backup-simplify]: Simplify (- 1) into -1 1.774 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in im 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [taylor]: Taking taylor expansion of 0 in im 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.777 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.777 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.778 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.778 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.778 * [taylor]: Taking taylor expansion of 1/2 in im 1.778 * [backup-simplify]: Simplify 1/2 into 1/2 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.778 * [taylor]: Taking taylor expansion of im in im 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* 1 1) into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.782 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (- 0) into 0 1.783 * [backup-simplify]: Simplify (+ 0 0) into 0 1.783 * [taylor]: Taking taylor expansion of 0 in im 1.783 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (- (* (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1.785 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.785 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.785 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.785 * [taylor]: Taking taylor expansion of re in im 1.785 * [backup-simplify]: Simplify re into re 1.785 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.785 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.785 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.785 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.786 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.786 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.786 * [taylor]: Taking taylor expansion of -1 in im 1.786 * [backup-simplify]: Simplify -1 into -1 1.786 * [taylor]: Taking taylor expansion of re in im 1.786 * [backup-simplify]: Simplify re into re 1.786 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.786 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.786 * [taylor]: Taking taylor expansion of -1 in im 1.786 * [backup-simplify]: Simplify -1 into -1 1.786 * [taylor]: Taking taylor expansion of re in im 1.786 * [backup-simplify]: Simplify re into re 1.786 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.786 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.786 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.786 * [taylor]: Taking taylor expansion of -1 in im 1.786 * [backup-simplify]: Simplify -1 into -1 1.786 * [taylor]: Taking taylor expansion of im in im 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (/ -1 1) into -1 1.786 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.786 * [taylor]: Taking taylor expansion of -1 in im 1.786 * [backup-simplify]: Simplify -1 into -1 1.786 * [taylor]: Taking taylor expansion of im in im 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (/ -1 1) into -1 1.787 * [backup-simplify]: Simplify (* -1 -1) into 1 1.787 * [backup-simplify]: Simplify (+ 0 1) into 1 1.787 * [backup-simplify]: Simplify (sqrt 1) into 1 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.789 * [backup-simplify]: Simplify (+ 0 0) into 0 1.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.789 * [taylor]: Taking taylor expansion of re in re 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (/ 1 1) into 1 1.789 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.789 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.789 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.789 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.789 * [taylor]: Taking taylor expansion of -1 in re 1.789 * [backup-simplify]: Simplify -1 into -1 1.790 * [taylor]: Taking taylor expansion of re in re 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (/ -1 1) into -1 1.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.790 * [taylor]: Taking taylor expansion of -1 in re 1.790 * [backup-simplify]: Simplify -1 into -1 1.790 * [taylor]: Taking taylor expansion of re in re 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (/ -1 1) into -1 1.790 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.790 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.790 * [taylor]: Taking taylor expansion of -1 in re 1.790 * [backup-simplify]: Simplify -1 into -1 1.790 * [taylor]: Taking taylor expansion of im in re 1.790 * [backup-simplify]: Simplify im into im 1.790 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.790 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.790 * [taylor]: Taking taylor expansion of -1 in re 1.790 * [backup-simplify]: Simplify -1 into -1 1.790 * [taylor]: Taking taylor expansion of im in re 1.790 * [backup-simplify]: Simplify im into im 1.790 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.791 * [backup-simplify]: Simplify (* -1 -1) into 1 1.791 * [backup-simplify]: Simplify (+ 1 0) into 1 1.791 * [backup-simplify]: Simplify (sqrt 1) into 1 1.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.793 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.793 * [taylor]: Taking taylor expansion of re in re 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.794 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.794 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.794 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.794 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.794 * [taylor]: Taking taylor expansion of -1 in re 1.794 * [backup-simplify]: Simplify -1 into -1 1.794 * [taylor]: Taking taylor expansion of re in re 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ -1 1) into -1 1.794 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.794 * [taylor]: Taking taylor expansion of -1 in re 1.794 * [backup-simplify]: Simplify -1 into -1 1.794 * [taylor]: Taking taylor expansion of re in re 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (/ -1 1) into -1 1.795 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.795 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.795 * [taylor]: Taking taylor expansion of -1 in re 1.795 * [backup-simplify]: Simplify -1 into -1 1.795 * [taylor]: Taking taylor expansion of im in re 1.795 * [backup-simplify]: Simplify im into im 1.795 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.795 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.795 * [taylor]: Taking taylor expansion of -1 in re 1.795 * [backup-simplify]: Simplify -1 into -1 1.795 * [taylor]: Taking taylor expansion of im in re 1.795 * [backup-simplify]: Simplify im into im 1.795 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.795 * [backup-simplify]: Simplify (* -1 -1) into 1 1.795 * [backup-simplify]: Simplify (+ 1 0) into 1 1.795 * [backup-simplify]: Simplify (sqrt 1) into 1 1.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.798 * [backup-simplify]: Simplify (+ 1 1) into 2 1.798 * [taylor]: Taking taylor expansion of 2 in im 1.798 * [backup-simplify]: Simplify 2 into 2 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [taylor]: Taking taylor expansion of 0 in im 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 2 into 2 1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.800 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.800 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.801 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.801 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.801 * [taylor]: Taking taylor expansion of 1/2 in im 1.801 * [backup-simplify]: Simplify 1/2 into 1/2 1.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.801 * [taylor]: Taking taylor expansion of im in im 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (* 1 1) into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.805 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.805 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.805 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.806 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.806 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [taylor]: Taking taylor expansion of 0 in im 1.806 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 1.808 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot re im))) 3) into (pow (pow (hypot re im) 1/4) 3) 1.808 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in (re im) around 0 1.808 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in im 1.808 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 1.808 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 1.808 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 1.808 * [taylor]: Taking taylor expansion of 1/4 in im 1.808 * [backup-simplify]: Simplify 1/4 into 1/4 1.808 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.808 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.808 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.808 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.808 * [taylor]: Taking taylor expansion of (* re re) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [backup-simplify]: Simplify re into re 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [backup-simplify]: Simplify re into re 1.809 * [taylor]: Taking taylor expansion of (* im im) in im 1.809 * [taylor]: Taking taylor expansion of im in im 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [taylor]: Taking taylor expansion of im in im 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.809 * [backup-simplify]: Simplify (* 0 0) into 0 1.809 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.809 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.809 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.809 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.810 * [backup-simplify]: Simplify (log re) into (log re) 1.810 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re)) 1.810 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4) 1.810 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re 1.810 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 1.810 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 1.810 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 1.810 * [taylor]: Taking taylor expansion of 1/4 in re 1.810 * [backup-simplify]: Simplify 1/4 into 1/4 1.810 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.810 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.810 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.810 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.810 * [taylor]: Taking taylor expansion of (* re re) in re 1.810 * [taylor]: Taking taylor expansion of re in re 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [taylor]: Taking taylor expansion of re in re 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [taylor]: Taking taylor expansion of (* im im) in re 1.810 * [taylor]: Taking taylor expansion of im in re 1.810 * [backup-simplify]: Simplify im into im 1.811 * [taylor]: Taking taylor expansion of im in re 1.811 * [backup-simplify]: Simplify im into im 1.811 * [backup-simplify]: Simplify (* 0 0) into 0 1.811 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.811 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.811 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.811 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.811 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.812 * [backup-simplify]: Simplify (+ 0 0) into 0 1.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.812 * [backup-simplify]: Simplify (log im) into (log im) 1.812 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 1.812 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 1.812 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re 1.812 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 1.812 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 1.812 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 1.812 * [taylor]: Taking taylor expansion of 1/4 in re 1.812 * [backup-simplify]: Simplify 1/4 into 1/4 1.812 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.812 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.812 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.812 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.812 * [taylor]: Taking taylor expansion of (* re re) in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [taylor]: Taking taylor expansion of re in re 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [taylor]: Taking taylor expansion of (* im im) in re 1.812 * [taylor]: Taking taylor expansion of im in re 1.812 * [backup-simplify]: Simplify im into im 1.812 * [taylor]: Taking taylor expansion of im in re 1.812 * [backup-simplify]: Simplify im into im 1.812 * [backup-simplify]: Simplify (* 0 0) into 0 1.813 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.813 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.813 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.813 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.813 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.813 * [backup-simplify]: Simplify (log im) into (log im) 1.814 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 1.814 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 1.814 * [backup-simplify]: Simplify (* (pow im 1/4) (pow im 1/4)) into (sqrt im) 1.814 * [backup-simplify]: Simplify (* (pow im 1/4) (sqrt im)) into (pow (pow im 3) 1/4) 1.814 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 1.814 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 1.814 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 1.814 * [taylor]: Taking taylor expansion of 1/4 in im 1.814 * [backup-simplify]: Simplify 1/4 into 1/4 1.814 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 1.814 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.814 * [taylor]: Taking taylor expansion of im in im 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (* 1 1) into 1 1.815 * [backup-simplify]: Simplify (* 1 1) into 1 1.815 * [backup-simplify]: Simplify (log 1) into 0 1.815 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 1.815 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im)) 1.815 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4) 1.815 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4) 1.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 1.817 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 1.817 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (pow im 1/4))) into 0 1.818 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (sqrt im))) into 0 1.818 * [taylor]: Taking taylor expansion of 0 in im 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.820 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 1.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0 1.820 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.822 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.822 * [backup-simplify]: Simplify (+ 1 0) into 1 1.822 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.823 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 1.823 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2))) 1.824 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 1.825 * [backup-simplify]: Simplify (+ (* (pow im 1/4) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow im 1/4)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 1.825 * [backup-simplify]: Simplify (+ (* (pow im 1/4) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 1.825 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 1.825 * [taylor]: Taking taylor expansion of 3/8 in im 1.825 * [backup-simplify]: Simplify 3/8 into 3/8 1.825 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 1.825 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 1.826 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 1.826 * [taylor]: Taking taylor expansion of 1/4 in im 1.826 * [backup-simplify]: Simplify 1/4 into 1/4 1.826 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.826 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.826 * [taylor]: Taking taylor expansion of im in im 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [backup-simplify]: Simplify (log 1) into 0 1.827 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.827 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 1.827 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 1.827 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 1.827 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 1.827 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.830 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.830 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 1.831 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0 1.831 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.833 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.835 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 1.836 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow im 1/4))))) into 0 1.837 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0 1.837 * [taylor]: Taking taylor expansion of 0 in im 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.840 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.840 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 1.844 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.849 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 1.850 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0 1.851 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 1.851 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) 1.851 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in (re im) around 0 1.851 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in im 1.851 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 1.852 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.852 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.852 * [taylor]: Taking taylor expansion of 1/4 in im 1.852 * [backup-simplify]: Simplify 1/4 into 1/4 1.852 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.852 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.852 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.852 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.852 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.852 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.852 * [taylor]: Taking taylor expansion of re in im 1.852 * [backup-simplify]: Simplify re into re 1.852 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.852 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.852 * [taylor]: Taking taylor expansion of re in im 1.852 * [backup-simplify]: Simplify re into re 1.852 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.852 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.852 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.852 * [taylor]: Taking taylor expansion of im in im 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (/ 1 1) into 1 1.852 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.852 * [taylor]: Taking taylor expansion of im in im 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.853 * [backup-simplify]: Simplify (/ 1 1) into 1 1.853 * [backup-simplify]: Simplify (* 1 1) into 1 1.853 * [backup-simplify]: Simplify (+ 0 1) into 1 1.853 * [backup-simplify]: Simplify (sqrt 1) into 1 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.855 * [backup-simplify]: Simplify (log 1) into 0 1.856 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 1.856 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 1.856 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 1.856 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re 1.856 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 1.856 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.856 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.856 * [taylor]: Taking taylor expansion of 1/4 in re 1.856 * [backup-simplify]: Simplify 1/4 into 1/4 1.856 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.856 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.856 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.856 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.856 * [taylor]: Taking taylor expansion of re in re 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.856 * [taylor]: Taking taylor expansion of re in re 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.857 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.857 * [taylor]: Taking taylor expansion of im in re 1.857 * [backup-simplify]: Simplify im into im 1.857 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.857 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.857 * [taylor]: Taking taylor expansion of im in re 1.857 * [backup-simplify]: Simplify im into im 1.857 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.857 * [backup-simplify]: Simplify (* 1 1) into 1 1.857 * [backup-simplify]: Simplify (+ 1 0) into 1 1.857 * [backup-simplify]: Simplify (sqrt 1) into 1 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.860 * [backup-simplify]: Simplify (log 1) into 0 1.860 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.860 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 1.860 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 1.860 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re 1.860 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 1.860 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.860 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.860 * [taylor]: Taking taylor expansion of 1/4 in re 1.860 * [backup-simplify]: Simplify 1/4 into 1/4 1.860 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.860 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.860 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.860 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.860 * [taylor]: Taking taylor expansion of re in re 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify (/ 1 1) into 1 1.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.861 * [taylor]: Taking taylor expansion of re in re 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify (/ 1 1) into 1 1.861 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.861 * [backup-simplify]: Simplify im into im 1.861 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.861 * [backup-simplify]: Simplify im into im 1.861 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.861 * [backup-simplify]: Simplify (* 1 1) into 1 1.861 * [backup-simplify]: Simplify (+ 1 0) into 1 1.862 * [backup-simplify]: Simplify (sqrt 1) into 1 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.864 * [backup-simplify]: Simplify (log 1) into 0 1.864 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.864 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 1.864 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 1.864 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 1.864 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 1.864 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.864 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.864 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.865 * [taylor]: Taking taylor expansion of 1/4 in im 1.865 * [backup-simplify]: Simplify 1/4 into 1/4 1.865 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.865 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.865 * [taylor]: Taking taylor expansion of re in im 1.865 * [backup-simplify]: Simplify re into re 1.865 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.865 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 1.865 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 1.865 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 1.865 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 1.865 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 1.865 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 1.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.866 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.867 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 1.867 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.867 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 1.867 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 1.867 * [taylor]: Taking taylor expansion of 0 in im 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.868 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 1.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 1.869 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 1.869 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.871 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.871 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.872 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 1.873 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.873 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 1.874 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 1.875 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 1.876 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 1.876 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 1.876 * [taylor]: Taking taylor expansion of 3/8 in im 1.876 * [backup-simplify]: Simplify 3/8 into 3/8 1.876 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 1.876 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.876 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.876 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.876 * [taylor]: Taking taylor expansion of 1/4 in im 1.876 * [backup-simplify]: Simplify 1/4 into 1/4 1.876 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.876 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.876 * [taylor]: Taking taylor expansion of re in im 1.876 * [backup-simplify]: Simplify re into re 1.876 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.876 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 1.876 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 1.876 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 1.876 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 1.876 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.876 * [taylor]: Taking taylor expansion of im in im 1.876 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (* 1 1) into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.879 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 1.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 1.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 1.880 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 1.880 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.881 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 1.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 1.883 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 1.884 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 1.885 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 1.885 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 1.885 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.886 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 1.887 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 1.889 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.893 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.893 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 1.895 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 1.896 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 1.896 * [taylor]: Taking taylor expansion of 0 in im 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4) 1.897 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) 1.897 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in (re im) around 0 1.897 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in im 1.897 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 1.897 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.897 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.897 * [taylor]: Taking taylor expansion of 1/4 in im 1.897 * [backup-simplify]: Simplify 1/4 into 1/4 1.897 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.897 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.897 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.897 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.897 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.897 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.897 * [taylor]: Taking taylor expansion of -1 in im 1.897 * [backup-simplify]: Simplify -1 into -1 1.897 * [taylor]: Taking taylor expansion of re in im 1.897 * [backup-simplify]: Simplify re into re 1.897 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.897 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.897 * [taylor]: Taking taylor expansion of -1 in im 1.897 * [backup-simplify]: Simplify -1 into -1 1.897 * [taylor]: Taking taylor expansion of re in im 1.897 * [backup-simplify]: Simplify re into re 1.897 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.897 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.897 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.897 * [taylor]: Taking taylor expansion of -1 in im 1.897 * [backup-simplify]: Simplify -1 into -1 1.897 * [taylor]: Taking taylor expansion of im in im 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (/ -1 1) into -1 1.897 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.897 * [taylor]: Taking taylor expansion of -1 in im 1.897 * [backup-simplify]: Simplify -1 into -1 1.897 * [taylor]: Taking taylor expansion of im in im 1.897 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (/ -1 1) into -1 1.898 * [backup-simplify]: Simplify (* -1 -1) into 1 1.898 * [backup-simplify]: Simplify (+ 0 1) into 1 1.898 * [backup-simplify]: Simplify (sqrt 1) into 1 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.900 * [backup-simplify]: Simplify (log 1) into 0 1.901 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 1.901 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 1.901 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 1.901 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re 1.901 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 1.901 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.901 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.901 * [taylor]: Taking taylor expansion of 1/4 in re 1.901 * [backup-simplify]: Simplify 1/4 into 1/4 1.901 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.901 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.901 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.901 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.901 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.901 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.901 * [taylor]: Taking taylor expansion of -1 in re 1.901 * [backup-simplify]: Simplify -1 into -1 1.901 * [taylor]: Taking taylor expansion of re in re 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (/ -1 1) into -1 1.902 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.902 * [taylor]: Taking taylor expansion of -1 in re 1.902 * [backup-simplify]: Simplify -1 into -1 1.902 * [taylor]: Taking taylor expansion of re in re 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (/ -1 1) into -1 1.902 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.902 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.902 * [taylor]: Taking taylor expansion of -1 in re 1.902 * [backup-simplify]: Simplify -1 into -1 1.902 * [taylor]: Taking taylor expansion of im in re 1.902 * [backup-simplify]: Simplify im into im 1.902 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.902 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.902 * [taylor]: Taking taylor expansion of -1 in re 1.902 * [backup-simplify]: Simplify -1 into -1 1.902 * [taylor]: Taking taylor expansion of im in re 1.902 * [backup-simplify]: Simplify im into im 1.902 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.902 * [backup-simplify]: Simplify (* -1 -1) into 1 1.903 * [backup-simplify]: Simplify (+ 1 0) into 1 1.903 * [backup-simplify]: Simplify (sqrt 1) into 1 1.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.905 * [backup-simplify]: Simplify (log 1) into 0 1.905 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.905 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 1.905 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 1.905 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re 1.905 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 1.905 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.905 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.905 * [taylor]: Taking taylor expansion of 1/4 in re 1.905 * [backup-simplify]: Simplify 1/4 into 1/4 1.906 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.906 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.906 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.906 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.906 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.906 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.906 * [taylor]: Taking taylor expansion of -1 in re 1.906 * [backup-simplify]: Simplify -1 into -1 1.906 * [taylor]: Taking taylor expansion of re in re 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (/ -1 1) into -1 1.906 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.906 * [taylor]: Taking taylor expansion of -1 in re 1.906 * [backup-simplify]: Simplify -1 into -1 1.906 * [taylor]: Taking taylor expansion of re in re 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (/ -1 1) into -1 1.906 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.906 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.906 * [taylor]: Taking taylor expansion of -1 in re 1.906 * [backup-simplify]: Simplify -1 into -1 1.906 * [taylor]: Taking taylor expansion of im in re 1.906 * [backup-simplify]: Simplify im into im 1.906 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.906 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.907 * [taylor]: Taking taylor expansion of -1 in re 1.907 * [backup-simplify]: Simplify -1 into -1 1.907 * [taylor]: Taking taylor expansion of im in re 1.907 * [backup-simplify]: Simplify im into im 1.907 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.907 * [backup-simplify]: Simplify (* -1 -1) into 1 1.907 * [backup-simplify]: Simplify (+ 1 0) into 1 1.907 * [backup-simplify]: Simplify (sqrt 1) into 1 1.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.909 * [backup-simplify]: Simplify (log 1) into 0 1.910 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.910 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 1.910 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 1.910 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 1.910 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 1.910 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.910 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.910 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.910 * [taylor]: Taking taylor expansion of 1/4 in im 1.910 * [backup-simplify]: Simplify 1/4 into 1/4 1.910 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.910 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.910 * [taylor]: Taking taylor expansion of re in im 1.910 * [backup-simplify]: Simplify re into re 1.910 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.910 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 1.910 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 1.910 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 1.911 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 1.911 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 1.911 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 1.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.912 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 1.913 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 1.913 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 1.913 * [taylor]: Taking taylor expansion of 0 in im 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.913 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 1.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 1.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 1.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 1.915 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.916 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.916 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.917 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 1.919 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.919 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 1.920 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 1.920 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 1.921 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 1.921 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 1.921 * [taylor]: Taking taylor expansion of 3/8 in im 1.921 * [backup-simplify]: Simplify 3/8 into 3/8 1.921 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 1.921 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.921 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.921 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.921 * [taylor]: Taking taylor expansion of 1/4 in im 1.921 * [backup-simplify]: Simplify 1/4 into 1/4 1.921 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.921 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.921 * [taylor]: Taking taylor expansion of re in im 1.921 * [backup-simplify]: Simplify re into re 1.922 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.922 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 1.922 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 1.922 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 1.922 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 1.922 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.922 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.922 * [taylor]: Taking taylor expansion of im in im 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.925 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 1.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 1.926 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 1.926 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.927 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 1.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 1.930 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 1.931 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 1.931 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.932 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 1.933 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 1.935 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.942 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.942 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 1.944 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 1.945 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 1.945 * [taylor]: Taking taylor expansion of 0 in im 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4) 1.945 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 1.945 * [backup-simplify]: Simplify (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) into (hypot re im) 1.945 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.945 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.946 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.946 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.946 * [taylor]: Taking taylor expansion of (* re re) in im 1.946 * [taylor]: Taking taylor expansion of re in im 1.946 * [backup-simplify]: Simplify re into re 1.946 * [taylor]: Taking taylor expansion of re in im 1.946 * [backup-simplify]: Simplify re into re 1.946 * [taylor]: Taking taylor expansion of (* im im) in im 1.946 * [taylor]: Taking taylor expansion of im in im 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [taylor]: Taking taylor expansion of im in im 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.946 * [backup-simplify]: Simplify (* 0 0) into 0 1.946 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.946 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.946 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.947 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.947 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.947 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.947 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.947 * [taylor]: Taking taylor expansion of (* re re) in re 1.947 * [taylor]: Taking taylor expansion of re in re 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [taylor]: Taking taylor expansion of re in re 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [taylor]: Taking taylor expansion of (* im im) in re 1.947 * [taylor]: Taking taylor expansion of im in re 1.947 * [backup-simplify]: Simplify im into im 1.947 * [taylor]: Taking taylor expansion of im in re 1.947 * [backup-simplify]: Simplify im into im 1.947 * [backup-simplify]: Simplify (* 0 0) into 0 1.947 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.948 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.948 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.948 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.948 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.948 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.949 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.949 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.949 * [taylor]: Taking taylor expansion of (* re re) in re 1.949 * [taylor]: Taking taylor expansion of re in re 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [taylor]: Taking taylor expansion of re in re 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [taylor]: Taking taylor expansion of (* im im) in re 1.949 * [taylor]: Taking taylor expansion of im in re 1.949 * [backup-simplify]: Simplify im into im 1.949 * [taylor]: Taking taylor expansion of im in re 1.949 * [backup-simplify]: Simplify im into im 1.949 * [backup-simplify]: Simplify (* 0 0) into 0 1.949 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.949 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.949 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.949 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.950 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.950 * [taylor]: Taking taylor expansion of im in im 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [taylor]: Taking taylor expansion of 0 in im 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.951 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.951 * [backup-simplify]: Simplify (+ 1 0) into 1 1.951 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.951 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.951 * [taylor]: Taking taylor expansion of 1/2 in im 1.951 * [backup-simplify]: Simplify 1/2 into 1/2 1.951 * [taylor]: Taking taylor expansion of im in im 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.954 * [taylor]: Taking taylor expansion of 0 in im 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.955 * [backup-simplify]: Simplify (* (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) into (hypot (/ 1 re) (/ 1 im)) 1.955 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.955 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.955 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.955 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.955 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.955 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.955 * [taylor]: Taking taylor expansion of re in im 1.955 * [backup-simplify]: Simplify re into re 1.955 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.955 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.955 * [taylor]: Taking taylor expansion of re in im 1.955 * [backup-simplify]: Simplify re into re 1.955 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.955 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.955 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.955 * [taylor]: Taking taylor expansion of im in im 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.955 * [taylor]: Taking taylor expansion of im in im 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (/ 1 1) into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (+ 0 1) into 1 1.956 * [backup-simplify]: Simplify (sqrt 1) into 1 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.958 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.958 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.958 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.958 * [taylor]: Taking taylor expansion of re in re 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.959 * [taylor]: Taking taylor expansion of re in re 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.959 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.959 * [taylor]: Taking taylor expansion of im in re 1.959 * [backup-simplify]: Simplify im into im 1.959 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.959 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.959 * [taylor]: Taking taylor expansion of im in re 1.959 * [backup-simplify]: Simplify im into im 1.959 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.960 * [backup-simplify]: Simplify (+ 1 0) into 1 1.960 * [backup-simplify]: Simplify (sqrt 1) into 1 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.962 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.962 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.962 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.962 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.962 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.962 * [taylor]: Taking taylor expansion of re in re 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (/ 1 1) into 1 1.962 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.962 * [taylor]: Taking taylor expansion of re in re 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (/ 1 1) into 1 1.962 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.962 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.962 * [taylor]: Taking taylor expansion of im in re 1.962 * [backup-simplify]: Simplify im into im 1.962 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.962 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.962 * [taylor]: Taking taylor expansion of im in re 1.962 * [backup-simplify]: Simplify im into im 1.963 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.963 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (+ 1 0) into 1 1.963 * [backup-simplify]: Simplify (sqrt 1) into 1 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.965 * [taylor]: Taking taylor expansion of 1 in im 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of 0 in im 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.967 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.967 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.967 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.967 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.967 * [taylor]: Taking taylor expansion of 1/2 in im 1.968 * [backup-simplify]: Simplify 1/2 into 1/2 1.968 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.968 * [taylor]: Taking taylor expansion of im in im 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.971 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in im 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.973 * [backup-simplify]: Simplify (* (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (hypot (/ -1 re) (/ -1 im)) 1.973 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.973 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.973 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.973 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.973 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.973 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.973 * [taylor]: Taking taylor expansion of -1 in im 1.973 * [backup-simplify]: Simplify -1 into -1 1.973 * [taylor]: Taking taylor expansion of re in im 1.973 * [backup-simplify]: Simplify re into re 1.973 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.973 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.973 * [taylor]: Taking taylor expansion of -1 in im 1.973 * [backup-simplify]: Simplify -1 into -1 1.973 * [taylor]: Taking taylor expansion of re in im 1.973 * [backup-simplify]: Simplify re into re 1.973 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.973 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.973 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.973 * [taylor]: Taking taylor expansion of -1 in im 1.973 * [backup-simplify]: Simplify -1 into -1 1.973 * [taylor]: Taking taylor expansion of im in im 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ -1 1) into -1 1.973 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.974 * [taylor]: Taking taylor expansion of -1 in im 1.974 * [backup-simplify]: Simplify -1 into -1 1.974 * [taylor]: Taking taylor expansion of im in im 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (/ -1 1) into -1 1.974 * [backup-simplify]: Simplify (* -1 -1) into 1 1.974 * [backup-simplify]: Simplify (+ 0 1) into 1 1.974 * [backup-simplify]: Simplify (sqrt 1) into 1 1.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.976 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.976 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.976 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.977 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.977 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.977 * [taylor]: Taking taylor expansion of -1 in re 1.977 * [backup-simplify]: Simplify -1 into -1 1.977 * [taylor]: Taking taylor expansion of re in re 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (/ -1 1) into -1 1.977 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.977 * [taylor]: Taking taylor expansion of -1 in re 1.977 * [backup-simplify]: Simplify -1 into -1 1.977 * [taylor]: Taking taylor expansion of re in re 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (/ -1 1) into -1 1.977 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.977 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.977 * [taylor]: Taking taylor expansion of -1 in re 1.977 * [backup-simplify]: Simplify -1 into -1 1.977 * [taylor]: Taking taylor expansion of im in re 1.977 * [backup-simplify]: Simplify im into im 1.977 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.977 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.977 * [taylor]: Taking taylor expansion of -1 in re 1.977 * [backup-simplify]: Simplify -1 into -1 1.977 * [taylor]: Taking taylor expansion of im in re 1.977 * [backup-simplify]: Simplify im into im 1.977 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.978 * [backup-simplify]: Simplify (* -1 -1) into 1 1.978 * [backup-simplify]: Simplify (+ 1 0) into 1 1.978 * [backup-simplify]: Simplify (sqrt 1) into 1 1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.980 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.980 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.980 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.980 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.980 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.980 * [taylor]: Taking taylor expansion of -1 in re 1.980 * [backup-simplify]: Simplify -1 into -1 1.980 * [taylor]: Taking taylor expansion of re in re 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ -1 1) into -1 1.981 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.981 * [taylor]: Taking taylor expansion of -1 in re 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of re in re 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ -1 1) into -1 1.981 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.981 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.981 * [taylor]: Taking taylor expansion of -1 in re 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of im in re 1.981 * [backup-simplify]: Simplify im into im 1.981 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.981 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.981 * [taylor]: Taking taylor expansion of -1 in re 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of im in re 1.981 * [backup-simplify]: Simplify im into im 1.981 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.981 * [backup-simplify]: Simplify (* -1 -1) into 1 1.982 * [backup-simplify]: Simplify (+ 1 0) into 1 1.982 * [backup-simplify]: Simplify (sqrt 1) into 1 1.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.984 * [taylor]: Taking taylor expansion of 1 in im 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [taylor]: Taking taylor expansion of 0 in im 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.985 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.985 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.986 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.986 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.986 * [taylor]: Taking taylor expansion of 1/2 in im 1.986 * [backup-simplify]: Simplify 1/2 into 1/2 1.986 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.986 * [taylor]: Taking taylor expansion of im in im 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.990 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.990 * [taylor]: Taking taylor expansion of 0 in im 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.991 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2) 1.991 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4) 1.991 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0 1.992 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 1.992 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 1.992 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 1.992 * [taylor]: Taking taylor expansion of 1/4 in im 1.992 * [backup-simplify]: Simplify 1/4 into 1/4 1.992 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.992 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.992 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.992 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.992 * [taylor]: Taking taylor expansion of (* re re) in im 1.992 * [taylor]: Taking taylor expansion of re in im 1.992 * [backup-simplify]: Simplify re into re 1.992 * [taylor]: Taking taylor expansion of re in im 1.992 * [backup-simplify]: Simplify re into re 1.992 * [taylor]: Taking taylor expansion of (* im im) in im 1.992 * [taylor]: Taking taylor expansion of im in im 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [taylor]: Taking taylor expansion of im in im 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.992 * [backup-simplify]: Simplify (* 0 0) into 0 1.992 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.992 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.992 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.993 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.993 * [backup-simplify]: Simplify (log re) into (log re) 1.993 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re)) 1.993 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4) 1.993 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 1.993 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 1.993 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 1.993 * [taylor]: Taking taylor expansion of 1/4 in re 1.993 * [backup-simplify]: Simplify 1/4 into 1/4 1.993 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.993 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.993 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.993 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.993 * [taylor]: Taking taylor expansion of (* re re) in re 1.993 * [taylor]: Taking taylor expansion of re in re 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [taylor]: Taking taylor expansion of re in re 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [taylor]: Taking taylor expansion of (* im im) in re 1.994 * [taylor]: Taking taylor expansion of im in re 1.994 * [backup-simplify]: Simplify im into im 1.994 * [taylor]: Taking taylor expansion of im in re 1.994 * [backup-simplify]: Simplify im into im 1.994 * [backup-simplify]: Simplify (* 0 0) into 0 1.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.994 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.994 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.994 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.994 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.995 * [backup-simplify]: Simplify (log im) into (log im) 1.995 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 1.995 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 1.995 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 1.995 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 1.995 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 1.995 * [taylor]: Taking taylor expansion of 1/4 in re 1.995 * [backup-simplify]: Simplify 1/4 into 1/4 1.995 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.995 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.995 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.995 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.995 * [taylor]: Taking taylor expansion of (* re re) in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [taylor]: Taking taylor expansion of (* im im) in re 1.995 * [taylor]: Taking taylor expansion of im in re 1.995 * [backup-simplify]: Simplify im into im 1.995 * [taylor]: Taking taylor expansion of im in re 1.995 * [backup-simplify]: Simplify im into im 1.995 * [backup-simplify]: Simplify (* 0 0) into 0 1.996 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.996 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.996 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.996 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.996 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.996 * [backup-simplify]: Simplify (log im) into (log im) 1.997 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 1.997 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 1.997 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 1.997 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 1.997 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 1.997 * [taylor]: Taking taylor expansion of 1/4 in im 1.997 * [backup-simplify]: Simplify 1/4 into 1/4 1.997 * [taylor]: Taking taylor expansion of (log im) in im 1.997 * [taylor]: Taking taylor expansion of im in im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (log 1) into 0 1.997 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.997 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 1.997 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 1.997 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4) 1.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 1.999 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.999 * [taylor]: Taking taylor expansion of 0 in im 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.000 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 2.000 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 2.000 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.001 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.001 * [backup-simplify]: Simplify (+ 1 0) into 1 2.002 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 2.003 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2))) 2.004 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 2.004 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im 2.004 * [taylor]: Taking taylor expansion of 1/8 in im 2.004 * [backup-simplify]: Simplify 1/8 into 1/8 2.004 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 2.004 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 2.004 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 2.004 * [taylor]: Taking taylor expansion of 1/4 in im 2.004 * [backup-simplify]: Simplify 1/4 into 1/4 2.004 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 2.004 * [taylor]: Taking taylor expansion of (pow im 7) in im 2.004 * [taylor]: Taking taylor expansion of im in im 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.005 * [backup-simplify]: Simplify (* 1 1) into 1 2.005 * [backup-simplify]: Simplify (* 1 1) into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (log 1) into 0 2.006 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 2.006 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im)) 2.006 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4) 2.006 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 2.006 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.008 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 2.008 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0 2.009 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.012 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 2.014 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.014 * [taylor]: Taking taylor expansion of 0 in im 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.016 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 2.017 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0 2.017 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.020 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 2.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 2.022 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (* 1 re) 2)) (pow im 1/4)) into (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) 2.023 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 2.023 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0 2.023 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 2.023 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 2.023 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 2.023 * [taylor]: Taking taylor expansion of 1/4 in im 2.023 * [backup-simplify]: Simplify 1/4 into 1/4 2.023 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) 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 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.024 * [taylor]: Taking taylor expansion of im in im 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [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 2.026 * [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 * [backup-simplify]: Simplify (log 1) into 0 2.027 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 2.027 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 2.027 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 2.027 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 2.027 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.027 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.027 * [taylor]: Taking taylor expansion of 1/4 in re 2.027 * [backup-simplify]: Simplify 1/4 into 1/4 2.027 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.027 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.027 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.027 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 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 re) in re 2.027 * [taylor]: Taking taylor expansion of re in re 2.027 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.028 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [backup-simplify]: Simplify im into im 2.028 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.028 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [backup-simplify]: Simplify im into im 2.028 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.028 * [backup-simplify]: Simplify (* 1 1) into 1 2.028 * [backup-simplify]: Simplify (+ 1 0) into 1 2.029 * [backup-simplify]: Simplify (sqrt 1) into 1 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.031 * [backup-simplify]: Simplify (log 1) into 0 2.031 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.031 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 2.033 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 2.033 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 2.033 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.033 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.033 * [taylor]: Taking taylor expansion of 1/4 in re 2.033 * [backup-simplify]: Simplify 1/4 into 1/4 2.033 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.033 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.034 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.034 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.034 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.034 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.034 * [taylor]: Taking taylor expansion of re in re 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.034 * [taylor]: Taking taylor expansion of re in re 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.034 * [backup-simplify]: Simplify im into im 2.034 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.035 * [backup-simplify]: Simplify im into im 2.035 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (+ 1 0) into 1 2.035 * [backup-simplify]: Simplify (sqrt 1) into 1 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.037 * [backup-simplify]: Simplify (log 1) into 0 2.038 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.038 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 2.038 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 2.038 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 2.038 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 2.038 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 2.038 * [taylor]: Taking taylor expansion of -1/4 in im 2.038 * [backup-simplify]: Simplify -1/4 into -1/4 2.038 * [taylor]: Taking taylor expansion of (log re) in im 2.038 * [taylor]: Taking taylor expansion of re in im 2.038 * [backup-simplify]: Simplify re into re 2.038 * [backup-simplify]: Simplify (log re) into (log re) 2.038 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 2.038 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 2.038 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 2.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.039 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 2.040 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.040 * [taylor]: Taking taylor expansion of 0 in im 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.041 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 2.041 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.043 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.043 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.044 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.045 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 2.045 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.045 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 2.046 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 2.046 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 2.046 * [taylor]: Taking taylor expansion of 1/8 in im 2.046 * [backup-simplify]: Simplify 1/8 into 1/8 2.046 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 2.046 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 2.046 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 2.046 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 2.046 * [taylor]: Taking taylor expansion of 1/4 in im 2.046 * [backup-simplify]: Simplify 1/4 into 1/4 2.046 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.046 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.046 * [taylor]: Taking taylor expansion of re in im 2.046 * [backup-simplify]: Simplify re into re 2.046 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.046 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 2.046 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 2.046 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.046 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 2.047 * [backup-simplify]: Simplify (* 1 1) into 1 2.047 * [backup-simplify]: Simplify (/ 1 1) into 1 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 2.049 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 2.050 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 2.051 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 2.052 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 2.053 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 2.053 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 2.054 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.055 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.056 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.058 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.060 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.061 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.061 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 2.063 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.063 * [taylor]: Taking taylor expansion of 0 in im 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4) 2.063 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 2.063 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0 2.063 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 2.063 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 2.063 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 2.063 * [taylor]: Taking taylor expansion of 1/4 in im 2.063 * [backup-simplify]: Simplify 1/4 into 1/4 2.063 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 2.063 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.063 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.063 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.063 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.063 * [taylor]: Taking taylor expansion of -1 in im 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [taylor]: Taking taylor expansion of re in im 2.063 * [backup-simplify]: Simplify re into re 2.063 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.063 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.063 * [taylor]: Taking taylor expansion of -1 in im 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [taylor]: Taking taylor expansion of re in im 2.063 * [backup-simplify]: Simplify re into re 2.063 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.063 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.063 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.063 * [taylor]: Taking taylor expansion of -1 in im 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [taylor]: Taking taylor expansion of im in im 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (/ -1 1) into -1 2.064 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.064 * [taylor]: Taking taylor expansion of -1 in im 2.064 * [backup-simplify]: Simplify -1 into -1 2.064 * [taylor]: Taking taylor expansion of im in im 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (/ -1 1) into -1 2.064 * [backup-simplify]: Simplify (* -1 -1) into 1 2.065 * [backup-simplify]: Simplify (+ 0 1) into 1 2.065 * [backup-simplify]: Simplify (sqrt 1) into 1 2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.067 * [backup-simplify]: Simplify (log 1) into 0 2.067 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 2.067 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 2.067 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 2.067 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 2.067 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.067 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.067 * [taylor]: Taking taylor expansion of 1/4 in re 2.067 * [backup-simplify]: Simplify 1/4 into 1/4 2.067 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.067 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.067 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.067 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.067 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.068 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.068 * [taylor]: Taking taylor expansion of -1 in re 2.068 * [backup-simplify]: Simplify -1 into -1 2.068 * [taylor]: Taking taylor expansion of re in re 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (/ -1 1) into -1 2.068 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.068 * [taylor]: Taking taylor expansion of -1 in re 2.068 * [backup-simplify]: Simplify -1 into -1 2.068 * [taylor]: Taking taylor expansion of re in re 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (/ -1 1) into -1 2.068 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.068 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.068 * [taylor]: Taking taylor expansion of -1 in re 2.068 * [backup-simplify]: Simplify -1 into -1 2.068 * [taylor]: Taking taylor expansion of im in re 2.068 * [backup-simplify]: Simplify im into im 2.068 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.068 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.068 * [taylor]: Taking taylor expansion of -1 in re 2.068 * [backup-simplify]: Simplify -1 into -1 2.068 * [taylor]: Taking taylor expansion of im in re 2.068 * [backup-simplify]: Simplify im into im 2.068 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.069 * [backup-simplify]: Simplify (* -1 -1) into 1 2.069 * [backup-simplify]: Simplify (+ 1 0) into 1 2.069 * [backup-simplify]: Simplify (sqrt 1) into 1 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.071 * [backup-simplify]: Simplify (log 1) into 0 2.071 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.071 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 2.072 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 2.072 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 2.072 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.072 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.072 * [taylor]: Taking taylor expansion of 1/4 in re 2.072 * [backup-simplify]: Simplify 1/4 into 1/4 2.072 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.072 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.072 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.072 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.072 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.072 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.072 * [taylor]: Taking taylor expansion of -1 in re 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 * [backup-simplify]: Simplify (/ -1 1) into -1 2.072 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.072 * [taylor]: Taking taylor expansion of -1 in re 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 * [backup-simplify]: Simplify (/ -1 1) into -1 2.073 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.073 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.073 * [taylor]: Taking taylor expansion of -1 in re 2.073 * [backup-simplify]: Simplify -1 into -1 2.073 * [taylor]: Taking taylor expansion of im in re 2.073 * [backup-simplify]: Simplify im into im 2.073 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.073 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.073 * [taylor]: Taking taylor expansion of -1 in re 2.073 * [backup-simplify]: Simplify -1 into -1 2.073 * [taylor]: Taking taylor expansion of im in re 2.073 * [backup-simplify]: Simplify im into im 2.073 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.073 * [backup-simplify]: Simplify (* -1 -1) into 1 2.073 * [backup-simplify]: Simplify (+ 1 0) into 1 2.073 * [backup-simplify]: Simplify (sqrt 1) into 1 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.075 * [backup-simplify]: Simplify (log 1) into 0 2.076 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.076 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 2.076 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 2.076 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 2.076 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 2.076 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 2.076 * [taylor]: Taking taylor expansion of -1/4 in im 2.076 * [backup-simplify]: Simplify -1/4 into -1/4 2.076 * [taylor]: Taking taylor expansion of (log re) in im 2.076 * [taylor]: Taking taylor expansion of re in im 2.076 * [backup-simplify]: Simplify re into re 2.076 * [backup-simplify]: Simplify (log re) into (log re) 2.076 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 2.076 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 2.076 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 2.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.077 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 2.078 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.078 * [taylor]: Taking taylor expansion of 0 in im 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.079 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 2.079 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.081 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.081 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.082 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 2.083 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.084 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 2.084 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 2.084 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 2.084 * [taylor]: Taking taylor expansion of 1/8 in im 2.084 * [backup-simplify]: Simplify 1/8 into 1/8 2.084 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 2.084 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 2.084 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 2.084 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 2.084 * [taylor]: Taking taylor expansion of 1/4 in im 2.084 * [backup-simplify]: Simplify 1/4 into 1/4 2.084 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.084 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.084 * [taylor]: Taking taylor expansion of re in im 2.084 * [backup-simplify]: Simplify re into re 2.084 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.084 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 2.085 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 2.085 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.085 * [taylor]: Taking taylor expansion of im in im 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (* 1 1) into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 2.088 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 2.088 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 2.091 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.091 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 2.091 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 2.092 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 2.092 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.094 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.094 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.096 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.096 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.099 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.099 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 2.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 2.101 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.101 * [taylor]: Taking taylor expansion of 0 in im 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4) 2.101 * * * [progress]: simplifying candidates 2.104 * [simplify]: Simplifying: (fma (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (log1p (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (- re) (/ (exp (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (exp re)) (log (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (exp (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (* (cbrt (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (cbrt (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))) (cbrt (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (* (* (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (sqrt (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (sqrt (- (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re)) (- (pow (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) 3) (pow re 3)) (+ (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (+ (* re re) (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re))) (- re) (- (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (* re re)) (+ (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) re) (- re) (expm1 (pow (sqrt (sqrt (hypot re im))) 3)) (log1p (pow (sqrt (sqrt (hypot re im))) 3)) (* (log (sqrt (sqrt (hypot re im)))) 3) (* (log (sqrt (sqrt (hypot re im)))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (hypot re im))) (sqrt 3)) (pow (sqrt (sqrt (hypot re im))) 1) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3) (pow (cbrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3) (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3) (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow 1 3) (pow (sqrt (sqrt (hypot re im))) 3) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (log (pow (sqrt (sqrt (hypot re im))) 3)) (exp (pow (sqrt (sqrt (hypot re im))) 3)) (* (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (cbrt (pow (sqrt (sqrt (hypot re im))) 3))) (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (* (* (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3) (pow (cbrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3) (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3) (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow 1 3) (pow (sqrt (sqrt (hypot re im))) 3) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (/ 3 2) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (expm1 (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (log1p (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (+ 3 1) (+ 3 1) (+ (* (log (sqrt (sqrt (hypot re im)))) 3) (log (sqrt (sqrt (hypot re im))))) (+ (* (log (sqrt (sqrt (hypot re im)))) 3) (log (sqrt (sqrt (hypot re im))))) (+ (log (pow (sqrt (sqrt (hypot re im))) 3)) (log (sqrt (sqrt (hypot re im))))) (log (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (exp (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (* (* (* (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (cbrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (cbrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))))) (cbrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (* (* (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (sqrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (sqrt (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) 3) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt 1))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt 1)) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) 3) 1) (* (pow (cbrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (hypot re im)))) (* (pow (cbrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (sqrt (sqrt (hypot re im)))) (expm1 (sqrt (sqrt (hypot re im)))) (log1p (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))) (exp (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (cbrt (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt 1)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt 1) (sqrt (sqrt (hypot re im))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (- im re) 0 (* -2 re) (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (pow (pow re 3) 1/4) (pow (* -1 (pow re 3)) 1/4) im re (* -1 re) (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) 2.105 * [simplify]: Sending expressions to egg_math: (fma (pow (sqrt (sqrt (hypot h0 h1))) 3) (sqrt (sqrt (hypot h0 h1))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (pow (sqrt (sqrt (hypot h0 h1))) 3) (sqrt (sqrt (hypot h0 h1))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (pow (sqrt (sqrt (hypot h0 h1))) 3) (sqrt (sqrt (hypot h0 h1))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (* (pow (sqrt (sqrt (hypot h0 h1))) 3) (sqrt (sqrt (hypot h0 h1)))) h0)) (log1p (- (* (pow (sqrt (sqrt 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(cbrt (sqrt (sqrt (hypot h0 h1))))) (cbrt (sqrt (sqrt (hypot h0 h1)))) (* (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (sqrt (sqrt (hypot h0 h1)))) (sqrt (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (sqrt (cbrt (sqrt (hypot h0 h1)))) (sqrt (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (sqrt (sqrt (cbrt (hypot h0 h1)))) (sqrt (sqrt (sqrt (hypot h0 h1)))) (sqrt (sqrt (sqrt (hypot h0 h1)))) (sqrt (sqrt 1)) (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (sqrt (hypot h0 h1)))) (sqrt (sqrt (sqrt (hypot h0 h1)))) (sqrt 1) (sqrt (sqrt (hypot h0 h1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (hypot h0 h1)))) (sqrt (sqrt (sqrt (hypot h0 h1)))) (- h1 h0) 0 (* -2 h0) (+ (pow h1 3/4) (* 3/8 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/4)))) (pow (pow h0 3) 1/4) (pow (* -1 (pow h0 3)) 1/4) h1 h0 (* -1 h0) (+ (* 1/8 (* (pow h0 2) (pow (/ 1 (pow h1 7)) 1/4))) (pow h1 1/4)) (pow (/ 1 h0) -1/4) (pow (/ -1 h0) -1/4) 2.111 * * [simplify]: iteration 0 : 384 enodes (cost 1225 ) 2.119 * * [simplify]: iteration 1 : 1775 enodes (cost 953 ) 2.166 * * [simplify]: iteration 2 : 5002 enodes (cost 812 ) 2.170 * * * [progress]: adding candidates to table 2.509 * [progress]: [Phase 3 of 3] Extracting. 2.509 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.512 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.513 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 2.580 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 2.624 * * * [regime]: Found split indices: #