18.133 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying: (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: Extracting # 1 : cost 0 0.056 * * [simplify]: Extracting # 2 : cost 0 0.056 * * [simplify]: Extracting # 3 : cost 0 0.056 * * [simplify]: Extracting # 4 : cost 0 0.056 * * [simplify]: Extracting # 5 : cost 0 0.056 * * [simplify]: iteration 0 : 11 enodes (cost 15 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: iteration 1 : 15 enodes (cost 15 ) 0.066 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: iteration done: 15 enodes (cost 15 ) 0.066 * [simplify]: Simplified to: (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.170 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.187 * [backup-simplify]: Simplify (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) into (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) 0.187 * [approximate]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in (x.re y.re x.im y.im) around 0 0.187 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.im 0.187 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 0.187 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.187 * [taylor]: Taking taylor expansion of y.re in y.im 0.187 * [backup-simplify]: Simplify y.re into y.re 0.187 * [taylor]: Taking taylor expansion of x.re in y.im 0.187 * [backup-simplify]: Simplify x.re into x.re 0.187 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.187 * [taylor]: Taking taylor expansion of y.im in y.im 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of x.im in y.im 0.187 * [backup-simplify]: Simplify x.im into x.im 0.187 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 0.187 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.187 * [taylor]: Taking taylor expansion of y.im in y.im 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.187 * [taylor]: Taking taylor expansion of y.re in y.im 0.187 * [backup-simplify]: Simplify y.re into y.re 0.187 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.188 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.188 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 0.188 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.188 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 0.188 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re) 0.188 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.im 0.188 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 0.188 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.188 * [taylor]: Taking taylor expansion of y.re in x.im 0.188 * [backup-simplify]: Simplify y.re into y.re 0.188 * [taylor]: Taking taylor expansion of x.re in x.im 0.188 * [backup-simplify]: Simplify x.re into x.re 0.188 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.188 * [taylor]: Taking taylor expansion of y.im in x.im 0.188 * [backup-simplify]: Simplify y.im into y.im 0.188 * [taylor]: Taking taylor expansion of x.im in x.im 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 0.188 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.188 * [taylor]: Taking taylor expansion of y.im in x.im 0.188 * [backup-simplify]: Simplify y.im into y.im 0.188 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.188 * [taylor]: Taking taylor expansion of y.re in x.im 0.188 * [backup-simplify]: Simplify y.re into y.re 0.189 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.189 * [backup-simplify]: Simplify (* y.im 0) into 0 0.189 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 0.189 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.189 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.189 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.189 * [backup-simplify]: Simplify (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.re x.re) (+ (pow y.im 2) (pow y.re 2))) 0.189 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.re 0.189 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 0.189 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.189 * [taylor]: Taking taylor expansion of y.re in y.re 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of x.re in y.re 0.189 * [backup-simplify]: Simplify x.re into x.re 0.189 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.189 * [taylor]: Taking taylor expansion of y.im in y.re 0.190 * [backup-simplify]: Simplify y.im into y.im 0.190 * [taylor]: Taking taylor expansion of x.im in y.re 0.190 * [backup-simplify]: Simplify x.im into x.im 0.190 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.190 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.190 * [taylor]: Taking taylor expansion of y.im in y.re 0.190 * [backup-simplify]: Simplify y.im into y.im 0.190 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.190 * [taylor]: Taking taylor expansion of y.re in y.re 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.190 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.190 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.190 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.190 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.190 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 0.190 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.re 0.190 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.190 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.190 * [taylor]: Taking taylor expansion of y.re in x.re 0.190 * [backup-simplify]: Simplify y.re into y.re 0.190 * [taylor]: Taking taylor expansion of x.re in x.re 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.190 * [taylor]: Taking taylor expansion of y.im in x.re 0.191 * [backup-simplify]: Simplify y.im into y.im 0.191 * [taylor]: Taking taylor expansion of x.im in x.re 0.191 * [backup-simplify]: Simplify x.im into x.im 0.191 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 0.191 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.191 * [taylor]: Taking taylor expansion of y.im in x.re 0.191 * [backup-simplify]: Simplify y.im into y.im 0.191 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.191 * [taylor]: Taking taylor expansion of y.re in x.re 0.191 * [backup-simplify]: Simplify y.re into y.re 0.191 * [backup-simplify]: Simplify (* y.re 0) into 0 0.191 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.191 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.191 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.191 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.191 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.192 * [backup-simplify]: Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) 0.192 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.re 0.192 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.192 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.192 * [taylor]: Taking taylor expansion of y.re in x.re 0.192 * [backup-simplify]: Simplify y.re into y.re 0.192 * [taylor]: Taking taylor expansion of x.re in x.re 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.192 * [taylor]: Taking taylor expansion of y.im in x.re 0.192 * [backup-simplify]: Simplify y.im into y.im 0.192 * [taylor]: Taking taylor expansion of x.im in x.re 0.192 * [backup-simplify]: Simplify x.im into x.im 0.192 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 0.192 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.192 * [taylor]: Taking taylor expansion of y.im in x.re 0.192 * [backup-simplify]: Simplify y.im into y.im 0.192 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.192 * [taylor]: Taking taylor expansion of y.re in x.re 0.192 * [backup-simplify]: Simplify y.re into y.re 0.192 * [backup-simplify]: Simplify (* y.re 0) into 0 0.192 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.192 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.192 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.192 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.192 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.193 * [backup-simplify]: Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) 0.193 * [taylor]: Taking taylor expansion of (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) in y.re 0.193 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.193 * [taylor]: Taking taylor expansion of y.im in y.re 0.193 * [backup-simplify]: Simplify y.im into y.im 0.193 * [taylor]: Taking taylor expansion of x.im in y.re 0.193 * [backup-simplify]: Simplify x.im into x.im 0.193 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.193 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.193 * [taylor]: Taking taylor expansion of y.im in y.re 0.193 * [backup-simplify]: Simplify y.im into y.im 0.193 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.193 * [taylor]: Taking taylor expansion of y.re in y.re 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.193 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.193 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.194 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 0.194 * [taylor]: Taking taylor expansion of (/ x.im y.im) in x.im 0.194 * [taylor]: Taking taylor expansion of x.im in x.im 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of y.im in x.im 0.194 * [backup-simplify]: Simplify y.im into y.im 0.194 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.195 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.195 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.195 * [backup-simplify]: Simplify (+ y.re 0) into y.re 0.195 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.195 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (- (/ y.re (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into (/ y.re (+ (pow y.im 2) (pow y.re 2))) 0.196 * [taylor]: Taking taylor expansion of (/ y.re (+ (pow y.im 2) (pow y.re 2))) in y.re 0.196 * [taylor]: Taking taylor expansion of y.re in y.re 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.196 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.196 * [taylor]: Taking taylor expansion of y.im in y.re 0.196 * [backup-simplify]: Simplify y.im into y.im 0.196 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.196 * [taylor]: Taking taylor expansion of y.re in y.re 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.196 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.197 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.197 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.197 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 0 (pow y.im 2))))) into 0 0.198 * [taylor]: Taking taylor expansion of 0 in x.im 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [taylor]: Taking taylor expansion of 0 in y.im 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.198 * [taylor]: Taking taylor expansion of y.im in y.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 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.200 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.201 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (- (/ 0 (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* (/ y.re (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y.re 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [taylor]: Taking taylor expansion of 0 in x.im 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y.im 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.203 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.203 * [taylor]: Taking taylor expansion of y.im in x.im 0.203 * [backup-simplify]: Simplify y.im into y.im 0.203 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.203 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.203 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.203 * [taylor]: Taking taylor expansion of y.im in y.im 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.208 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (+ 0 1) into 1 0.209 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ x.im (pow y.im 3))) 0.209 * [taylor]: Taking taylor expansion of (- (/ x.im (pow y.im 3))) in x.im 0.209 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 3)) in x.im 0.209 * [taylor]: Taking taylor expansion of x.im in x.im 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [taylor]: Taking taylor expansion of (pow y.im 3) in x.im 0.209 * [taylor]: Taking taylor expansion of y.im in x.im 0.209 * [backup-simplify]: Simplify y.im into y.im 0.210 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.210 * [backup-simplify]: Simplify (* y.im (pow y.im 2)) into (pow y.im 3) 0.210 * [backup-simplify]: Simplify (/ 1 (pow y.im 3)) into (/ 1 (pow y.im 3)) 0.210 * [taylor]: Taking taylor expansion of 0 in y.im 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.210 * [taylor]: Taking taylor expansion of 0 in y.im 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.211 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (x.re y.re x.im y.im) around 0 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.211 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.211 * [taylor]: Taking taylor expansion of y.im in y.im 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of x.im in y.im 0.211 * [backup-simplify]: Simplify x.im into x.im 0.211 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.211 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.212 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.212 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.212 * [taylor]: Taking taylor expansion of y.re in y.im 0.212 * [backup-simplify]: Simplify y.re into y.re 0.212 * [taylor]: Taking taylor expansion of x.re in y.im 0.212 * [backup-simplify]: Simplify x.re into x.re 0.212 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.212 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.212 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.212 * [taylor]: Taking taylor expansion of y.im in y.im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.213 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.213 * [taylor]: Taking taylor expansion of y.re in y.im 0.213 * [backup-simplify]: Simplify y.re into y.re 0.213 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.213 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 0.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.214 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.214 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.214 * [taylor]: Taking taylor expansion of y.im in x.im 0.214 * [backup-simplify]: Simplify y.im into y.im 0.214 * [taylor]: Taking taylor expansion of x.im in x.im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* y.im 0) into 0 0.214 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.214 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.214 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.214 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.214 * [taylor]: Taking taylor expansion of y.re in x.im 0.215 * [backup-simplify]: Simplify y.re into y.re 0.215 * [taylor]: Taking taylor expansion of x.re in x.im 0.215 * [backup-simplify]: Simplify x.re into x.re 0.215 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.215 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.215 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.215 * [taylor]: Taking taylor expansion of y.im in x.im 0.215 * [backup-simplify]: Simplify y.im into y.im 0.215 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.215 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 0.215 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.215 * [taylor]: Taking taylor expansion of y.re in x.im 0.215 * [backup-simplify]: Simplify y.re into y.re 0.215 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.215 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.215 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 0.216 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.216 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.216 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.216 * [taylor]: Taking taylor expansion of y.im in y.re 0.216 * [backup-simplify]: Simplify y.im into y.im 0.216 * [taylor]: Taking taylor expansion of x.im in y.re 0.216 * [backup-simplify]: Simplify x.im into x.im 0.216 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.216 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.217 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.217 * [taylor]: Taking taylor expansion of y.re in y.re 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of x.re in y.re 0.217 * [backup-simplify]: Simplify x.re into x.re 0.217 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.217 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.217 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.217 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.217 * [taylor]: Taking taylor expansion of y.im in y.re 0.218 * [backup-simplify]: Simplify y.im into y.im 0.218 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.218 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.218 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.218 * [taylor]: Taking taylor expansion of y.re in y.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 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 0.220 * [backup-simplify]: Simplify (+ 0 1) into 1 0.220 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 0.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.220 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.220 * [taylor]: Taking taylor expansion of y.im in x.re 0.220 * [backup-simplify]: Simplify y.im into y.im 0.220 * [taylor]: Taking taylor expansion of x.im in x.re 0.220 * [backup-simplify]: Simplify x.im into x.im 0.220 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.220 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.220 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.220 * [taylor]: Taking taylor expansion of y.re in x.re 0.220 * [backup-simplify]: Simplify y.re into y.re 0.220 * [taylor]: Taking taylor expansion of x.re in x.re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* y.re 0) into 0 0.221 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.221 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.221 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.221 * [taylor]: Taking taylor expansion of y.im in x.re 0.221 * [backup-simplify]: Simplify y.im into y.im 0.221 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.221 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.221 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.221 * [taylor]: Taking taylor expansion of y.re in x.re 0.221 * [backup-simplify]: Simplify y.re into y.re 0.221 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.222 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.222 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.222 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.222 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 0.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.222 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.222 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.223 * [taylor]: Taking taylor expansion of y.im in x.re 0.223 * [backup-simplify]: Simplify y.im into y.im 0.223 * [taylor]: Taking taylor expansion of x.im in x.re 0.223 * [backup-simplify]: Simplify x.im into x.im 0.223 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.223 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.223 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.223 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.223 * [taylor]: Taking taylor expansion of y.re in x.re 0.223 * [backup-simplify]: Simplify y.re into y.re 0.223 * [taylor]: Taking taylor expansion of x.re in x.re 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* y.re 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.223 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.223 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.223 * [taylor]: Taking taylor expansion of y.im in x.re 0.223 * [backup-simplify]: Simplify y.im into y.im 0.223 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.224 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.224 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.224 * [taylor]: Taking taylor expansion of y.re in x.re 0.224 * [backup-simplify]: Simplify y.re into y.re 0.224 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.224 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.224 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.224 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.224 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 0.224 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re 0.224 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.224 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.224 * [taylor]: Taking taylor expansion of y.im in y.re 0.224 * [backup-simplify]: Simplify y.im into y.im 0.224 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.225 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.225 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.225 * [taylor]: Taking taylor expansion of y.re in y.re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of y.re in y.re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (+ 0 1) into 1 0.226 * [backup-simplify]: Simplify (* 1 0) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of 1 in x.im 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.228 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.228 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.229 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.im x.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 0.230 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.230 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.230 * [taylor]: Taking taylor expansion of y.im in y.re 0.230 * [backup-simplify]: Simplify y.im into y.im 0.230 * [taylor]: Taking taylor expansion of (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.230 * [taylor]: Taking taylor expansion of x.im in y.re 0.230 * [backup-simplify]: Simplify x.im into x.im 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.230 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.230 * [taylor]: Taking taylor expansion of y.im in y.re 0.230 * [backup-simplify]: Simplify y.im into y.im 0.230 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.230 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.230 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.230 * [taylor]: Taking taylor expansion of y.re in y.re 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.231 * [backup-simplify]: Simplify (* x.im 1) into x.im 0.231 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.231 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [taylor]: Taking taylor expansion of 0 in x.im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [taylor]: Taking taylor expansion of 1 in y.im 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.234 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.236 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.237 * [taylor]: Taking taylor expansion of 0 in y.re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [taylor]: Taking taylor expansion of 0 in x.im 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.237 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.237 * [taylor]: Taking taylor expansion of y.im in x.im 0.237 * [backup-simplify]: Simplify y.im into y.im 0.237 * [taylor]: Taking taylor expansion of x.im in x.im 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* y.im 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.238 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.238 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.238 * [taylor]: Taking taylor expansion of y.im in y.im 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2)) 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.242 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.242 * [taylor]: Taking taylor expansion of y.im in x.im 0.242 * [backup-simplify]: Simplify y.im into y.im 0.242 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.242 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.243 * [taylor]: Taking taylor expansion of 0 in y.im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [taylor]: Taking taylor expansion of 0 in y.im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.244 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.246 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.248 * [taylor]: Taking taylor expansion of 0 in y.re 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [taylor]: Taking taylor expansion of 0 in x.im 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [taylor]: Taking taylor expansion of 0 in x.im 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.249 * [taylor]: Taking taylor expansion of 0 in x.im 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 0.258 * [taylor]: Taking taylor expansion of 0 in x.im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [taylor]: Taking taylor expansion of 0 in y.im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.259 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (x.re y.re x.im y.im) around 0 0.259 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.259 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.259 * [taylor]: Taking taylor expansion of y.im in y.im 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of x.im in y.im 0.260 * [backup-simplify]: Simplify x.im into x.im 0.260 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.260 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.260 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.260 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.260 * [taylor]: Taking taylor expansion of y.re in y.im 0.260 * [backup-simplify]: Simplify y.re into y.re 0.260 * [taylor]: Taking taylor expansion of x.re in y.im 0.260 * [backup-simplify]: Simplify x.re into x.re 0.260 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.260 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.261 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.261 * [taylor]: Taking taylor expansion of y.im in y.im 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.261 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.262 * [taylor]: Taking taylor expansion of y.re in y.im 0.262 * [backup-simplify]: Simplify y.re into y.re 0.262 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.262 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.262 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 0.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.263 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.263 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.263 * [taylor]: Taking taylor expansion of y.im in x.im 0.263 * [backup-simplify]: Simplify y.im into y.im 0.263 * [taylor]: Taking taylor expansion of x.im in x.im 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* y.im 0) into 0 0.264 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.264 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.264 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.264 * [taylor]: Taking taylor expansion of y.re in x.im 0.264 * [backup-simplify]: Simplify y.re into y.re 0.264 * [taylor]: Taking taylor expansion of x.re in x.im 0.264 * [backup-simplify]: Simplify x.re into x.re 0.264 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.264 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.264 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.264 * [taylor]: Taking taylor expansion of y.im in x.im 0.264 * [backup-simplify]: Simplify y.im into y.im 0.264 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.264 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 0.264 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.264 * [taylor]: Taking taylor expansion of y.re in x.im 0.264 * [backup-simplify]: Simplify y.re into y.re 0.265 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.265 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.265 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 0.265 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.265 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.266 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.266 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.266 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.266 * [taylor]: Taking taylor expansion of y.im in y.re 0.266 * [backup-simplify]: Simplify y.im into y.im 0.266 * [taylor]: Taking taylor expansion of x.im in y.re 0.266 * [backup-simplify]: Simplify x.im into x.im 0.266 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.266 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.266 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.266 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.266 * [taylor]: Taking taylor expansion of y.re in y.re 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of x.re in y.re 0.266 * [backup-simplify]: Simplify x.re into x.re 0.266 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.267 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.267 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.267 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.267 * [taylor]: Taking taylor expansion of y.im in y.re 0.267 * [backup-simplify]: Simplify y.im into y.im 0.267 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.267 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.267 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.267 * [taylor]: Taking taylor expansion of y.re in y.re 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 (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 0.269 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.269 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.269 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.269 * [taylor]: Taking taylor expansion of y.im in x.re 0.269 * [backup-simplify]: Simplify y.im into y.im 0.269 * [taylor]: Taking taylor expansion of x.im in x.re 0.269 * [backup-simplify]: Simplify x.im into x.im 0.269 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.269 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.269 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.269 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.269 * [taylor]: Taking taylor expansion of y.re in x.re 0.269 * [backup-simplify]: Simplify y.re into y.re 0.269 * [taylor]: Taking taylor expansion of x.re in x.re 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* y.re 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.270 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.270 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.270 * [taylor]: Taking taylor expansion of y.im in x.re 0.270 * [backup-simplify]: Simplify y.im into y.im 0.270 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.270 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.270 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.270 * [taylor]: Taking taylor expansion of y.re in x.re 0.270 * [backup-simplify]: Simplify y.re into y.re 0.270 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.271 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.271 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.271 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.271 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 0.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.272 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.272 * [taylor]: Taking taylor expansion of y.im in x.re 0.272 * [backup-simplify]: Simplify y.im into y.im 0.272 * [taylor]: Taking taylor expansion of x.im in x.re 0.272 * [backup-simplify]: Simplify x.im into x.im 0.272 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.272 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.272 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.272 * [taylor]: Taking taylor expansion of y.re in x.re 0.272 * [backup-simplify]: Simplify y.re into y.re 0.272 * [taylor]: Taking taylor expansion of x.re in x.re 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* y.re 0) into 0 0.272 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.273 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.273 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.273 * [taylor]: Taking taylor expansion of y.im in x.re 0.273 * [backup-simplify]: Simplify y.im into y.im 0.273 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.273 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.273 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.273 * [taylor]: Taking taylor expansion of y.re in x.re 0.273 * [backup-simplify]: Simplify y.re into y.re 0.273 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.273 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.273 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.274 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.274 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re 0.274 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.274 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.274 * [taylor]: Taking taylor expansion of y.im in y.re 0.274 * [backup-simplify]: Simplify y.im into y.im 0.274 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.275 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.275 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.275 * [taylor]: Taking taylor expansion of y.re in y.re 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (* 1 1) into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of y.re in y.re 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (+ 0 1) into 1 0.277 * [backup-simplify]: Simplify (* 1 0) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of 1 in x.im 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.280 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.281 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.281 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.im x.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 0.283 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.283 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.283 * [taylor]: Taking taylor expansion of y.im in y.re 0.283 * [backup-simplify]: Simplify y.im into y.im 0.283 * [taylor]: Taking taylor expansion of (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.283 * [taylor]: Taking taylor expansion of x.im in y.re 0.283 * [backup-simplify]: Simplify x.im into x.im 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.283 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.283 * [taylor]: Taking taylor expansion of y.im in y.re 0.283 * [backup-simplify]: Simplify y.im into y.im 0.283 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.284 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.284 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.284 * [taylor]: Taking taylor expansion of y.re in y.re 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (* x.im 1) into x.im 0.285 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.285 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [taylor]: Taking taylor expansion of 0 in x.im 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [taylor]: Taking taylor expansion of 1 in y.im 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.292 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.295 * [taylor]: Taking taylor expansion of 0 in y.re 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [taylor]: Taking taylor expansion of 0 in x.im 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.295 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.295 * [taylor]: Taking taylor expansion of y.im in x.im 0.295 * [backup-simplify]: Simplify y.im into y.im 0.295 * [taylor]: Taking taylor expansion of x.im in x.im 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* y.im 0) into 0 0.296 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.296 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.296 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.296 * [taylor]: Taking taylor expansion of y.im in y.im 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2)) 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.304 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.304 * [taylor]: Taking taylor expansion of y.im in x.im 0.304 * [backup-simplify]: Simplify y.im into y.im 0.304 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.304 * [taylor]: Taking taylor expansion of 0 in y.im 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [taylor]: Taking taylor expansion of 0 in y.im 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.306 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.312 * [taylor]: Taking taylor expansion of 0 in y.re 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [taylor]: Taking taylor expansion of 0 in x.im 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [taylor]: Taking taylor expansion of 0 in x.im 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in x.im 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 0.322 * [taylor]: Taking taylor expansion of 0 in x.im 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [taylor]: Taking taylor expansion of 0 in y.im 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.322 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.re x.re) (* y.im x.im)) 0.323 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 0.323 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.323 * [taylor]: Taking taylor expansion of y.re in y.im 0.323 * [backup-simplify]: Simplify y.re into y.re 0.323 * [taylor]: Taking taylor expansion of x.re in y.im 0.323 * [backup-simplify]: Simplify x.re into x.re 0.323 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.323 * [taylor]: Taking taylor expansion of y.im in y.im 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of x.im in y.im 0.323 * [backup-simplify]: Simplify x.im into x.im 0.323 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 0.323 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.323 * [taylor]: Taking taylor expansion of y.re in x.im 0.323 * [backup-simplify]: Simplify y.re into y.re 0.323 * [taylor]: Taking taylor expansion of x.re in x.im 0.323 * [backup-simplify]: Simplify x.re into x.re 0.323 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.323 * [taylor]: Taking taylor expansion of y.im in x.im 0.323 * [backup-simplify]: Simplify y.im into y.im 0.323 * [taylor]: Taking taylor expansion of x.im in x.im 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 0.323 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.323 * [taylor]: Taking taylor expansion of y.re in y.re 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of x.re in y.re 0.323 * [backup-simplify]: Simplify x.re into x.re 0.323 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.324 * [taylor]: Taking taylor expansion of y.im in y.re 0.324 * [backup-simplify]: Simplify y.im into y.im 0.324 * [taylor]: Taking taylor expansion of x.im in y.re 0.324 * [backup-simplify]: Simplify x.im into x.im 0.324 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.324 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.324 * [taylor]: Taking taylor expansion of y.re in x.re 0.324 * [backup-simplify]: Simplify y.re into y.re 0.324 * [taylor]: Taking taylor expansion of x.re in x.re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.324 * [taylor]: Taking taylor expansion of y.im in x.re 0.324 * [backup-simplify]: Simplify y.im into y.im 0.324 * [taylor]: Taking taylor expansion of x.im in x.re 0.324 * [backup-simplify]: Simplify x.im into x.im 0.324 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.324 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.324 * [taylor]: Taking taylor expansion of y.re in x.re 0.324 * [backup-simplify]: Simplify y.re into y.re 0.324 * [taylor]: Taking taylor expansion of x.re in x.re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.324 * [taylor]: Taking taylor expansion of y.im in x.re 0.324 * [backup-simplify]: Simplify y.im into y.im 0.324 * [taylor]: Taking taylor expansion of x.im in x.re 0.324 * [backup-simplify]: Simplify x.im into x.im 0.324 * [backup-simplify]: Simplify (* y.re 0) into 0 0.324 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.325 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.325 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.325 * [taylor]: Taking taylor expansion of y.im in y.re 0.325 * [backup-simplify]: Simplify y.im into y.im 0.325 * [taylor]: Taking taylor expansion of x.im in y.re 0.325 * [backup-simplify]: Simplify x.im into x.im 0.325 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.325 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.325 * [taylor]: Taking taylor expansion of y.im in x.im 0.325 * [backup-simplify]: Simplify y.im into y.im 0.325 * [taylor]: Taking taylor expansion of x.im in x.im 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* y.im 0) into 0 0.325 * [taylor]: Taking taylor expansion of 0 in y.im 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.326 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.326 * [backup-simplify]: Simplify (+ y.re 0) into y.re 0.326 * [taylor]: Taking taylor expansion of y.re in y.re 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [taylor]: Taking taylor expansion of 0 in x.im 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [taylor]: Taking taylor expansion of 0 in y.im 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.326 * [taylor]: Taking taylor expansion of 0 in x.im 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [taylor]: Taking taylor expansion of 0 in y.im 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.327 * [taylor]: Taking taylor expansion of y.im in y.im 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.329 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [taylor]: Taking taylor expansion of 0 in y.re 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [taylor]: Taking taylor expansion of 0 in x.im 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [taylor]: Taking taylor expansion of 0 in y.im 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 0.330 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.330 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.330 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.330 * [taylor]: Taking taylor expansion of y.im in y.im 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of x.im in y.im 0.330 * [backup-simplify]: Simplify x.im into x.im 0.330 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.331 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.331 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.331 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.331 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.331 * [taylor]: Taking taylor expansion of y.re in y.im 0.331 * [backup-simplify]: Simplify y.re into y.re 0.331 * [taylor]: Taking taylor expansion of x.re in y.im 0.331 * [backup-simplify]: Simplify x.re into x.re 0.331 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.331 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.331 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.331 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.331 * [taylor]: Taking taylor expansion of y.im in x.im 0.331 * [backup-simplify]: Simplify y.im into y.im 0.331 * [taylor]: Taking taylor expansion of x.im in x.im 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (* y.im 0) into 0 0.332 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.332 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.332 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.332 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.332 * [taylor]: Taking taylor expansion of y.re in x.im 0.332 * [backup-simplify]: Simplify y.re into y.re 0.332 * [taylor]: Taking taylor expansion of x.re in x.im 0.332 * [backup-simplify]: Simplify x.re into x.re 0.332 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.332 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.332 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.333 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.333 * [taylor]: Taking taylor expansion of y.im in y.re 0.333 * [backup-simplify]: Simplify y.im into y.im 0.333 * [taylor]: Taking taylor expansion of x.im in y.re 0.333 * [backup-simplify]: Simplify x.im into x.im 0.333 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.333 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.333 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.333 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.333 * [taylor]: Taking taylor expansion of y.re in y.re 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [taylor]: Taking taylor expansion of x.re in y.re 0.333 * [backup-simplify]: Simplify x.re into x.re 0.333 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.334 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.334 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.334 * [taylor]: Taking taylor expansion of y.im in x.re 0.334 * [backup-simplify]: Simplify y.im into y.im 0.334 * [taylor]: Taking taylor expansion of x.im in x.re 0.334 * [backup-simplify]: Simplify x.im into x.im 0.334 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.334 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.334 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.334 * [taylor]: Taking taylor expansion of y.re in x.re 0.334 * [backup-simplify]: Simplify y.re into y.re 0.334 * [taylor]: Taking taylor expansion of x.re in x.re 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* y.re 0) into 0 0.335 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.335 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.335 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.335 * [taylor]: Taking taylor expansion of y.im in x.re 0.335 * [backup-simplify]: Simplify y.im into y.im 0.335 * [taylor]: Taking taylor expansion of x.im in x.re 0.335 * [backup-simplify]: Simplify x.im into x.im 0.335 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.335 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.335 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.335 * [taylor]: Taking taylor expansion of y.re in x.re 0.335 * [backup-simplify]: Simplify y.re into y.re 0.335 * [taylor]: Taking taylor expansion of x.re in x.re 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* y.re 0) into 0 0.335 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.336 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.336 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.336 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.336 * [taylor]: Taking taylor expansion of y.re in y.re 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in x.im 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.337 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.337 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.337 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.337 * [taylor]: Taking taylor expansion of y.im in y.re 0.337 * [backup-simplify]: Simplify y.im into y.im 0.337 * [taylor]: Taking taylor expansion of x.im in y.re 0.337 * [backup-simplify]: Simplify x.im into x.im 0.337 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.337 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in x.im 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [taylor]: Taking taylor expansion of 1 in y.im 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.338 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in y.re 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.338 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.338 * [taylor]: Taking taylor expansion of y.im in x.im 0.338 * [backup-simplify]: Simplify y.im into y.im 0.339 * [taylor]: Taking taylor expansion of x.im in x.im 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* y.im 0) into 0 0.339 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.339 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.339 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.339 * [taylor]: Taking taylor expansion of y.im in y.im 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [taylor]: Taking taylor expansion of 0 in x.im 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [taylor]: Taking taylor expansion of 0 in y.im 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [taylor]: Taking taylor expansion of 0 in y.im 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.341 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [taylor]: Taking taylor expansion of 0 in y.re 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [taylor]: Taking taylor expansion of 0 in x.im 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in x.im 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in x.im 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y.im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y.im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y.im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y.im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.345 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [taylor]: Taking taylor expansion of 0 in y.re 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [taylor]: Taking taylor expansion of 0 in x.im 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [taylor]: Taking taylor expansion of 0 in x.im 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in x.im 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in x.im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y.im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y.im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y.im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y.im 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [taylor]: Taking taylor expansion of 0 in y.im 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [taylor]: Taking taylor expansion of 0 in y.im 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [taylor]: Taking taylor expansion of 0 in y.im 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.re)))))) (* 1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.im)) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 0.348 * [backup-simplify]: Simplify (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 0.348 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.348 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.348 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.348 * [taylor]: Taking taylor expansion of y.im in y.im 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of x.im in y.im 0.349 * [backup-simplify]: Simplify x.im into x.im 0.349 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.349 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.349 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.349 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.349 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.349 * [taylor]: Taking taylor expansion of y.re in y.im 0.349 * [backup-simplify]: Simplify y.re into y.re 0.349 * [taylor]: Taking taylor expansion of x.re in y.im 0.349 * [backup-simplify]: Simplify x.re into x.re 0.349 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.349 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.349 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.349 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.349 * [taylor]: Taking taylor expansion of y.im in x.im 0.349 * [backup-simplify]: Simplify y.im into y.im 0.349 * [taylor]: Taking taylor expansion of x.im in x.im 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* y.im 0) into 0 0.350 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.350 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.350 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.350 * [taylor]: Taking taylor expansion of y.re in x.im 0.350 * [backup-simplify]: Simplify y.re into y.re 0.350 * [taylor]: Taking taylor expansion of x.re in x.im 0.350 * [backup-simplify]: Simplify x.re into x.re 0.350 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.350 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.350 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.350 * [taylor]: Taking taylor expansion of y.im in y.re 0.350 * [backup-simplify]: Simplify y.im into y.im 0.350 * [taylor]: Taking taylor expansion of x.im in y.re 0.350 * [backup-simplify]: Simplify x.im into x.im 0.350 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.350 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.350 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.350 * [taylor]: Taking taylor expansion of y.re in y.re 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of x.re in y.re 0.350 * [backup-simplify]: Simplify x.re into x.re 0.350 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.350 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.350 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.350 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.350 * [taylor]: Taking taylor expansion of y.im in x.re 0.351 * [backup-simplify]: Simplify y.im into y.im 0.351 * [taylor]: Taking taylor expansion of x.im in x.re 0.351 * [backup-simplify]: Simplify x.im into x.im 0.351 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.351 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.351 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.351 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.351 * [taylor]: Taking taylor expansion of y.re in x.re 0.351 * [backup-simplify]: Simplify y.re into y.re 0.351 * [taylor]: Taking taylor expansion of x.re in x.re 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* y.re 0) into 0 0.351 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.351 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.351 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.351 * [taylor]: Taking taylor expansion of y.im in x.re 0.351 * [backup-simplify]: Simplify y.im into y.im 0.351 * [taylor]: Taking taylor expansion of x.im in x.re 0.351 * [backup-simplify]: Simplify x.im into x.im 0.351 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.351 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.351 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.351 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.351 * [taylor]: Taking taylor expansion of y.re in x.re 0.351 * [backup-simplify]: Simplify y.re into y.re 0.351 * [taylor]: Taking taylor expansion of x.re in x.re 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* y.re 0) into 0 0.352 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.352 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.352 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.352 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.352 * [taylor]: Taking taylor expansion of y.re in y.re 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of 1 in x.im 0.352 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.353 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.353 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.353 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.353 * [taylor]: Taking taylor expansion of y.im in y.re 0.353 * [backup-simplify]: Simplify y.im into y.im 0.353 * [taylor]: Taking taylor expansion of x.im in y.re 0.353 * [backup-simplify]: Simplify x.im into x.im 0.353 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.353 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in x.im 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [taylor]: Taking taylor expansion of 1 in y.im 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.355 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in y.re 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.355 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.355 * [taylor]: Taking taylor expansion of y.im in x.im 0.355 * [backup-simplify]: Simplify y.im into y.im 0.356 * [taylor]: Taking taylor expansion of x.im in x.im 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* y.im 0) into 0 0.356 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.356 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.356 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.356 * [taylor]: Taking taylor expansion of y.im in y.im 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [taylor]: Taking taylor expansion of 0 in x.im 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [taylor]: Taking taylor expansion of 0 in y.im 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [taylor]: Taking taylor expansion of 0 in y.im 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.358 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in y.re 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in x.im 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in x.im 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [taylor]: Taking taylor expansion of 0 in x.im 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.360 * [taylor]: Taking taylor expansion of 0 in y.im 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [taylor]: Taking taylor expansion of 0 in y.im 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [taylor]: Taking taylor expansion of 0 in y.im 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [taylor]: Taking taylor expansion of 0 in y.im 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.362 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [taylor]: Taking taylor expansion of 0 in y.re 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in x.im 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in x.im 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.364 * [taylor]: Taking taylor expansion of 0 in x.im 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in x.im 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [taylor]: Taking taylor expansion of 0 in y.im 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [taylor]: Taking taylor expansion of 0 in y.im 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [taylor]: Taking taylor expansion of 0 in y.im 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y.im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y.im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y.im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y.im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.re))))))) (* 1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.im))) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 0.368 * * * [progress]: simplifying candidates 0.369 * [simplify]: Simplifying: (- (log (+ (* x.re y.re) (* x.im y.im))) (log (+ (* y.re y.re) (* y.im y.im)))) (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (exp (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (* (* (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (- (+ (* x.re y.re) (* x.im y.im))) (- (+ (* y.re y.re) (* y.im y.im))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 1) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) 1) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (/ (+ (* x.re y.re) (* x.im y.im)) (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (* (+ (* y.re y.re) (* y.im y.im)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))) (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.re y.re) (* x.im y.im))) (* (exp (* x.re y.re)) (exp (* x.im y.im))) (log (+ (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im))) (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)) 0 0 0 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 0.371 * * [simplify]: Extracting # 0 : cost 0 0.372 * * [simplify]: Extracting # 1 : cost 0 0.372 * * [simplify]: Extracting # 2 : cost 0 0.372 * * [simplify]: Extracting # 3 : cost 0 0.372 * * [simplify]: Extracting # 4 : cost 0 0.373 * * [simplify]: Extracting # 5 : cost 0 0.373 * * [simplify]: Extracting # 6 : cost 0 0.373 * * [simplify]: Extracting # 7 : cost 0 0.373 * * [simplify]: iteration 0 : 86 enodes (cost 924 ) 0.406 * * [simplify]: Extracting # 0 : cost 0 0.407 * * [simplify]: Extracting # 1 : cost 0 0.407 * * [simplify]: Extracting # 2 : cost 0 0.407 * * [simplify]: Extracting # 3 : cost 0 0.407 * * [simplify]: Extracting # 4 : cost 0 0.408 * * [simplify]: iteration 1 : 238 enodes (cost 906 ) 0.489 * * [simplify]: Extracting # 0 : cost 0 0.497 * * [simplify]: Extracting # 1 : cost 0 0.500 * * [simplify]: Extracting # 2 : cost 0 0.502 * * [simplify]: Extracting # 3 : cost 0 0.505 * * [simplify]: Extracting # 4 : cost 0 0.507 * * [simplify]: Extracting # 5 : cost 0 0.510 * * [simplify]: iteration 2 : 1009 enodes (cost 824 ) 1.228 * * [simplify]: Extracting # 0 : cost 0 1.242 * * [simplify]: Extracting # 1 : cost 0 1.249 * * [simplify]: Extracting # 2 : cost 0 1.260 * * [simplify]: Extracting # 3 : cost 0 1.271 * * [simplify]: Extracting # 4 : cost 0 1.281 * * [simplify]: iteration done: 5000 enodes (cost 824 ) 1.282 * [simplify]: Simplified to: (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (exp (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 3) (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 3) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (- (+ (* x.re y.re) (* x.im y.im))) (- (+ (* y.re y.re) (* y.im y.im))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* x.re y.re) (* y.im x.im)) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (pow y.re 6) (pow y.im 6))) (/ (+ (* x.re y.re) (* x.im y.im)) (- (* (pow y.re 3) y.re) (* y.im (pow y.im 3)))) (* (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (- (* y.im x.im) (* x.re y.re)))) (+ (* y.re y.re) (* y.im y.im))) (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (log (+ (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im))) (pow (+ (* x.re y.re) (* x.im y.im)) 3) (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (- (* y.im x.im) (* x.re y.re)))) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* y.im x.im)) 0 0 0 0 (+ (* x.re y.re) (* y.im x.im)) (+ (* x.re y.re) (* y.im x.im)) 1.283 * * * [progress]: adding candidates to table 1.567 * * [progress]: iteration 2 / 4 1.567 * * * [progress]: picking best candidate 1.596 * * * * [pick]: Picked # 1.597 * * * [progress]: localizing error 1.630 * * * [progress]: generating rewritten candidates 1.630 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.647 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.696 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.722 * * * [progress]: generating series expansions 1.722 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.722 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 1.722 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 1.722 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 1.722 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 1.722 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.722 * [taylor]: Taking taylor expansion of y.im in y.im 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.723 * [taylor]: Taking taylor expansion of y.re in y.im 1.723 * [backup-simplify]: Simplify y.re into y.re 1.723 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.723 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 1.723 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 1.723 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 1.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.724 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.724 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.724 * [taylor]: Taking taylor expansion of y.im in y.re 1.724 * [backup-simplify]: Simplify y.im into y.im 1.724 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.724 * [taylor]: Taking taylor expansion of y.re in y.re 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.725 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.725 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.725 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.726 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.726 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.726 * [taylor]: Taking taylor expansion of y.im in y.re 1.726 * [backup-simplify]: Simplify y.im into y.im 1.726 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.726 * [taylor]: Taking taylor expansion of y.re in y.re 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.726 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.726 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.726 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.727 * [taylor]: Taking taylor expansion of y.im in y.im 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in y.im 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.728 * [backup-simplify]: Simplify (* 1 1) into 1 1.729 * [backup-simplify]: Simplify (+ 0 1) into 1 1.730 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 1.730 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 1.730 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.730 * [backup-simplify]: Simplify 1/2 into 1/2 1.730 * [taylor]: Taking taylor expansion of y.im in y.im 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 1.734 * [taylor]: Taking taylor expansion of 0 in y.im 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 1.736 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.736 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.736 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.736 * [taylor]: Taking taylor expansion of y.im in y.im 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (* 1 1) into 1 1.737 * [backup-simplify]: Simplify (/ 1 1) into 1 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.737 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.737 * [taylor]: Taking taylor expansion of y.re in y.im 1.737 * [backup-simplify]: Simplify y.re into y.re 1.737 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.738 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.738 * [backup-simplify]: Simplify (+ 1 0) into 1 1.739 * [backup-simplify]: Simplify (sqrt 1) into 1 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.742 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.742 * [taylor]: Taking taylor expansion of y.im in y.re 1.742 * [backup-simplify]: Simplify y.im into y.im 1.742 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.742 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.742 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.742 * [taylor]: Taking taylor expansion of y.re in y.re 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify (* 1 1) into 1 1.743 * [backup-simplify]: Simplify (/ 1 1) into 1 1.743 * [backup-simplify]: Simplify (+ 0 1) into 1 1.744 * [backup-simplify]: Simplify (sqrt 1) into 1 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.746 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.746 * [taylor]: Taking taylor expansion of y.im in y.re 1.746 * [backup-simplify]: Simplify y.im into y.im 1.747 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.747 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.747 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.747 * [taylor]: Taking taylor expansion of y.re in y.re 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (* 1 1) into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [backup-simplify]: Simplify (+ 0 1) into 1 1.749 * [backup-simplify]: Simplify (sqrt 1) into 1 1.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.751 * [taylor]: Taking taylor expansion of 1 in y.im 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [taylor]: Taking taylor expansion of 0 in y.im 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.755 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.755 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.755 * [backup-simplify]: Simplify 1/2 into 1/2 1.755 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.755 * [taylor]: Taking taylor expansion of y.im in y.im 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (* 1 1) into 1 1.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.762 * [taylor]: Taking taylor expansion of 0 in y.im 1.762 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 1.764 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.765 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.765 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.765 * [taylor]: Taking taylor expansion of y.im in y.im 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (* 1 1) into 1 1.766 * [backup-simplify]: Simplify (/ 1 1) into 1 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.766 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.766 * [taylor]: Taking taylor expansion of y.re in y.im 1.766 * [backup-simplify]: Simplify y.re into y.re 1.766 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.766 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.766 * [backup-simplify]: Simplify (+ 1 0) into 1 1.767 * [backup-simplify]: Simplify (sqrt 1) into 1 1.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.769 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.769 * [taylor]: Taking taylor expansion of y.im in y.re 1.770 * [backup-simplify]: Simplify y.im into y.im 1.770 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.770 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.770 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.770 * [taylor]: Taking taylor expansion of y.re in y.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 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [backup-simplify]: Simplify (+ 0 1) into 1 1.772 * [backup-simplify]: Simplify (sqrt 1) into 1 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.774 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.774 * [taylor]: Taking taylor expansion of y.im in y.re 1.774 * [backup-simplify]: Simplify y.im into y.im 1.774 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.775 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.775 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.775 * [taylor]: Taking taylor expansion of y.re in y.re 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (* 1 1) into 1 1.776 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [backup-simplify]: Simplify (+ 0 1) into 1 1.776 * [backup-simplify]: Simplify (sqrt 1) into 1 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.779 * [taylor]: Taking taylor expansion of 1 in y.im 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [taylor]: Taking taylor expansion of 0 in y.im 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.783 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.783 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.783 * [backup-simplify]: Simplify 1/2 into 1/2 1.783 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.783 * [taylor]: Taking taylor expansion of y.im in y.im 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 1.786 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (+ 0 0) into 0 1.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.789 * [taylor]: Taking taylor expansion of 0 in y.im 1.789 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 1.792 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.792 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 1.792 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 1.792 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 1.792 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 1.792 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.792 * [taylor]: Taking taylor expansion of y.im in y.im 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.792 * [taylor]: Taking taylor expansion of y.re in y.im 1.792 * [backup-simplify]: Simplify y.re into y.re 1.792 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.792 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 1.792 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 1.792 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 1.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.793 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.793 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.793 * [taylor]: Taking taylor expansion of y.im in y.re 1.793 * [backup-simplify]: Simplify y.im into y.im 1.793 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.793 * [taylor]: Taking taylor expansion of y.re in y.re 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.793 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.793 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.793 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.794 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.794 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.794 * [taylor]: Taking taylor expansion of y.im in y.re 1.794 * [backup-simplify]: Simplify y.im into y.im 1.794 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.794 * [taylor]: Taking taylor expansion of y.re in y.re 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.794 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.794 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.794 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.795 * [taylor]: Taking taylor expansion of y.im in y.im 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [taylor]: Taking taylor expansion of 0 in y.im 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.795 * [backup-simplify]: Simplify (* 1 1) into 1 1.796 * [backup-simplify]: Simplify (+ 0 1) into 1 1.796 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 1.796 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 1.796 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.796 * [backup-simplify]: Simplify 1/2 into 1/2 1.796 * [taylor]: Taking taylor expansion of y.im in y.im 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 1.799 * [taylor]: Taking taylor expansion of 0 in y.im 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 1.800 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.800 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.800 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.800 * [taylor]: Taking taylor expansion of y.im in y.im 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (* 1 1) into 1 1.800 * [backup-simplify]: Simplify (/ 1 1) into 1 1.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.800 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.800 * [taylor]: Taking taylor expansion of y.re in y.im 1.800 * [backup-simplify]: Simplify y.re into y.re 1.800 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.801 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.801 * [backup-simplify]: Simplify (+ 1 0) into 1 1.801 * [backup-simplify]: Simplify (sqrt 1) into 1 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.803 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.803 * [taylor]: Taking taylor expansion of y.im in y.re 1.803 * [backup-simplify]: Simplify y.im into y.im 1.803 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.803 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.803 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.803 * [taylor]: Taking taylor expansion of y.re in y.re 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (* 1 1) into 1 1.804 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [backup-simplify]: Simplify (+ 0 1) into 1 1.804 * [backup-simplify]: Simplify (sqrt 1) into 1 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.806 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.806 * [taylor]: Taking taylor expansion of y.im in y.re 1.806 * [backup-simplify]: Simplify y.im into y.im 1.806 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.806 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.806 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.806 * [taylor]: Taking taylor expansion of y.re in y.re 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 1 into 1 1.806 * [backup-simplify]: Simplify (* 1 1) into 1 1.806 * [backup-simplify]: Simplify (/ 1 1) into 1 1.807 * [backup-simplify]: Simplify (+ 0 1) into 1 1.807 * [backup-simplify]: Simplify (sqrt 1) into 1 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (+ 0 0) into 0 1.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.808 * [taylor]: Taking taylor expansion of 1 in y.im 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [taylor]: Taking taylor expansion of 0 in y.im 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.811 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.811 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.811 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.811 * [backup-simplify]: Simplify 1/2 into 1/2 1.811 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.811 * [taylor]: Taking taylor expansion of y.im in y.im 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (* 1 1) into 1 1.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.814 * [taylor]: Taking taylor expansion of 0 in y.im 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 1.816 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.816 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.816 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.816 * [taylor]: Taking taylor expansion of y.im in y.im 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (* 1 1) into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.817 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.817 * [taylor]: Taking taylor expansion of y.re in y.im 1.817 * [backup-simplify]: Simplify y.re into y.re 1.817 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.817 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.817 * [backup-simplify]: Simplify (+ 1 0) into 1 1.817 * [backup-simplify]: Simplify (sqrt 1) into 1 1.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.819 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.819 * [taylor]: Taking taylor expansion of y.im in y.re 1.819 * [backup-simplify]: Simplify y.im into y.im 1.819 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.819 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.819 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.819 * [taylor]: Taking taylor expansion of y.re in y.re 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (* 1 1) into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [backup-simplify]: Simplify (+ 0 1) into 1 1.820 * [backup-simplify]: Simplify (sqrt 1) into 1 1.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.822 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.822 * [taylor]: Taking taylor expansion of y.im in y.re 1.822 * [backup-simplify]: Simplify y.im into y.im 1.822 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.822 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.822 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.822 * [taylor]: Taking taylor expansion of y.re in y.re 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (* 1 1) into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.823 * [backup-simplify]: Simplify (+ 0 1) into 1 1.823 * [backup-simplify]: Simplify (sqrt 1) into 1 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.824 * [taylor]: Taking taylor expansion of 1 in y.im 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [taylor]: Taking taylor expansion of 0 in y.im 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.826 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.826 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.827 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.827 * [backup-simplify]: Simplify 1/2 into 1/2 1.827 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.827 * [taylor]: Taking taylor expansion of y.im in y.im 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (* 1 1) into 1 1.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.833 * [taylor]: Taking taylor expansion of 0 in y.im 1.833 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 1.835 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.836 * [backup-simplify]: Simplify (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) 1.836 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in (x.re y.re x.im y.im) around 0 1.836 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in y.im 1.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.im 1.836 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.im 1.836 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 1.836 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.836 * [taylor]: Taking taylor expansion of y.im in y.im 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.836 * [taylor]: Taking taylor expansion of y.re in y.im 1.836 * [backup-simplify]: Simplify y.re into y.re 1.836 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.836 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 1.836 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.837 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.re 2))) into (/ 1 y.re) 1.837 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.re 2))))) into 0 1.841 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 1.841 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.841 * [taylor]: Taking taylor expansion of y.re in y.im 1.841 * [backup-simplify]: Simplify y.re into y.re 1.841 * [taylor]: Taking taylor expansion of x.re in y.im 1.841 * [backup-simplify]: Simplify x.re into x.re 1.841 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.841 * [taylor]: Taking taylor expansion of y.im in y.im 1.841 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of x.im in y.im 1.842 * [backup-simplify]: Simplify x.im into x.im 1.842 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.im 1.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.im 1.842 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.im 1.842 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 1.842 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.842 * [taylor]: Taking taylor expansion of y.im in x.im 1.842 * [backup-simplify]: Simplify y.im into y.im 1.842 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 1.842 * [taylor]: Taking taylor expansion of y.re in x.im 1.842 * [backup-simplify]: Simplify y.re into y.re 1.842 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.842 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.842 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 1.843 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 1.843 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 1.843 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.843 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 1.845 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 1.845 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.845 * [taylor]: Taking taylor expansion of y.re in x.im 1.845 * [backup-simplify]: Simplify y.re into y.re 1.845 * [taylor]: Taking taylor expansion of x.re in x.im 1.845 * [backup-simplify]: Simplify x.re into x.re 1.845 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.845 * [taylor]: Taking taylor expansion of y.im in x.im 1.845 * [backup-simplify]: Simplify y.im into y.im 1.845 * [taylor]: Taking taylor expansion of x.im in x.im 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in y.re 1.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 1.845 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 1.845 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.845 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.845 * [taylor]: Taking taylor expansion of y.im in y.re 1.845 * [backup-simplify]: Simplify y.im into y.im 1.845 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.845 * [taylor]: Taking taylor expansion of y.re in y.re 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.845 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.846 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.846 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 1.846 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 1.847 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 1.847 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.847 * [taylor]: Taking taylor expansion of y.re in y.re 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of x.re in y.re 1.847 * [backup-simplify]: Simplify x.re into x.re 1.847 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.847 * [taylor]: Taking taylor expansion of y.im in y.re 1.847 * [backup-simplify]: Simplify y.im into y.im 1.847 * [taylor]: Taking taylor expansion of x.im in y.re 1.847 * [backup-simplify]: Simplify x.im into x.im 1.847 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.re 1.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 1.847 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 1.847 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 1.847 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.848 * [taylor]: Taking taylor expansion of y.im in x.re 1.848 * [backup-simplify]: Simplify y.im into y.im 1.848 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.848 * [taylor]: Taking taylor expansion of y.re in x.re 1.848 * [backup-simplify]: Simplify y.re into y.re 1.848 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.848 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.848 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 1.848 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 1.849 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 1.849 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.849 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 1.850 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 1.850 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.850 * [taylor]: Taking taylor expansion of y.re in x.re 1.850 * [backup-simplify]: Simplify y.re into y.re 1.850 * [taylor]: Taking taylor expansion of x.re in x.re 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.850 * [taylor]: Taking taylor expansion of y.im in x.re 1.851 * [backup-simplify]: Simplify y.im into y.im 1.851 * [taylor]: Taking taylor expansion of x.im in x.re 1.851 * [backup-simplify]: Simplify x.im into x.im 1.851 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.re 1.851 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 1.851 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 1.851 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 1.851 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.851 * [taylor]: Taking taylor expansion of y.im in x.re 1.851 * [backup-simplify]: Simplify y.im into y.im 1.851 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.851 * [taylor]: Taking taylor expansion of y.re in x.re 1.851 * [backup-simplify]: Simplify y.re into y.re 1.851 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.851 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.852 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 1.852 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 1.852 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 1.852 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.852 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 1.854 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 1.854 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.854 * [taylor]: Taking taylor expansion of y.re in x.re 1.854 * [backup-simplify]: Simplify y.re into y.re 1.854 * [taylor]: Taking taylor expansion of x.re in x.re 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.854 * [taylor]: Taking taylor expansion of y.im in x.re 1.854 * [backup-simplify]: Simplify y.im into y.im 1.854 * [taylor]: Taking taylor expansion of x.im in x.re 1.854 * [backup-simplify]: Simplify x.im into x.im 1.854 * [backup-simplify]: Simplify (* y.re 0) into 0 1.854 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.854 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 1.855 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (* y.im x.im)) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.im)) 1.855 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.im)) in y.re 1.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 1.855 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 1.855 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.855 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.855 * [taylor]: Taking taylor expansion of y.im in y.re 1.855 * [backup-simplify]: Simplify y.im into y.im 1.855 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.855 * [taylor]: Taking taylor expansion of y.re in y.re 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.855 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.855 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.856 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 1.856 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 1.857 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.857 * [taylor]: Taking taylor expansion of y.im in y.re 1.857 * [backup-simplify]: Simplify y.im into y.im 1.857 * [taylor]: Taking taylor expansion of x.im in y.re 1.857 * [backup-simplify]: Simplify x.im into x.im 1.857 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.857 * [backup-simplify]: Simplify (* (/ 1 y.im) (* y.im x.im)) into x.im 1.857 * [taylor]: Taking taylor expansion of x.im in x.im 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [taylor]: Taking taylor expansion of 0 in y.im 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.858 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.858 * [backup-simplify]: Simplify (+ y.re 0) into y.re 1.858 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) y.re) (* 0 (* y.im x.im))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) 1.858 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) in y.re 1.858 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 1.858 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 1.858 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.858 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.859 * [taylor]: Taking taylor expansion of y.im in y.re 1.859 * [backup-simplify]: Simplify y.im into y.im 1.859 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.859 * [taylor]: Taking taylor expansion of y.re in y.re 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.859 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.859 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.859 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 1.859 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 1.860 * [taylor]: Taking taylor expansion of y.re in y.re 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.860 * [backup-simplify]: Simplify (* (/ 1 y.im) 0) into 0 1.860 * [taylor]: Taking taylor expansion of 0 in x.im 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [taylor]: Taking taylor expansion of 0 in y.im 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.861 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (* y.im x.im))) into 0 1.861 * [taylor]: Taking taylor expansion of 0 in x.im 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [taylor]: Taking taylor expansion of 0 in y.im 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [taylor]: Taking taylor expansion of 1 in y.im 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.862 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.864 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* 0 (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.866 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 0) (+ (* 0 y.re) (* 0 (* y.im x.im)))) into 0 1.866 * [taylor]: Taking taylor expansion of 0 in y.re 1.866 * [backup-simplify]: Simplify 0 into 0 1.867 * [taylor]: Taking taylor expansion of 0 in x.im 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [taylor]: Taking taylor expansion of 0 in y.im 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 1) (* 0 0)) into (/ 1 y.im) 1.867 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im 1.867 * [taylor]: Taking taylor expansion of y.im in x.im 1.867 * [backup-simplify]: Simplify y.im into y.im 1.867 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.867 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 1.867 * [taylor]: Taking taylor expansion of y.im in y.im 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.870 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.870 * [backup-simplify]: Simplify (* 1 1) into 1 1.870 * [backup-simplify]: Simplify (+ 0 1) into 1 1.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ 1 (pow y.im 4))) 1.872 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3)) 1.873 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 3)) (* y.im x.im)))) into (- (* 1/2 (/ x.im (pow y.im 2)))) 1.873 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x.im (pow y.im 2)))) in x.im 1.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.im (pow y.im 2))) in x.im 1.873 * [taylor]: Taking taylor expansion of 1/2 in x.im 1.873 * [backup-simplify]: Simplify 1/2 into 1/2 1.873 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 2)) in x.im 1.873 * [taylor]: Taking taylor expansion of x.im in x.im 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.873 * [taylor]: Taking taylor expansion of y.im in x.im 1.873 * [backup-simplify]: Simplify y.im into y.im 1.873 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.873 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.873 * [taylor]: Taking taylor expansion of 0 in y.im 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.874 * [taylor]: Taking taylor expansion of 0 in y.im 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [taylor]: Taking taylor expansion of 0 in y.im 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify (* 1 (* 1 (* x.im (* 1 1)))) into x.im 1.875 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) into (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 1.875 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in (x.re y.re x.im y.im) around 0 1.875 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.im 1.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 1.875 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 1.875 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.875 * [taylor]: Taking taylor expansion of y.im in y.im 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of x.im in y.im 1.875 * [backup-simplify]: Simplify x.im into x.im 1.875 * [backup-simplify]: Simplify (* 0 x.im) into 0 1.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 1.876 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 1.876 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 1.876 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.876 * [taylor]: Taking taylor expansion of y.re in y.im 1.876 * [backup-simplify]: Simplify y.re into y.re 1.876 * [taylor]: Taking taylor expansion of x.re in y.im 1.876 * [backup-simplify]: Simplify x.re into x.re 1.876 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.876 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 1.876 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.876 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.876 * [taylor]: Taking taylor expansion of y.im in y.im 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.877 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.877 * [taylor]: Taking taylor expansion of y.re in y.im 1.877 * [backup-simplify]: Simplify y.re into y.re 1.877 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.877 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.878 * [backup-simplify]: Simplify (+ 1 0) into 1 1.878 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [backup-simplify]: Simplify (sqrt 1) into 1 1.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.880 * [backup-simplify]: Simplify (+ 0 0) into 0 1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.882 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.im 1.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 1.882 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.882 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.882 * [taylor]: Taking taylor expansion of y.im in x.im 1.882 * [backup-simplify]: Simplify y.im into y.im 1.882 * [taylor]: Taking taylor expansion of x.im in x.im 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (* y.im 0) into 0 1.883 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.883 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.883 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 1.883 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.883 * [taylor]: Taking taylor expansion of y.re in x.im 1.883 * [backup-simplify]: Simplify y.re into y.re 1.883 * [taylor]: Taking taylor expansion of x.re in x.im 1.883 * [backup-simplify]: Simplify x.re into x.re 1.883 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.883 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 1.883 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 1.883 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.883 * [taylor]: Taking taylor expansion of y.im in x.im 1.883 * [backup-simplify]: Simplify y.im into y.im 1.883 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.884 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 1.884 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 1.884 * [taylor]: Taking taylor expansion of y.re in x.im 1.884 * [backup-simplify]: Simplify y.re into y.re 1.884 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.884 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.884 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.885 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.885 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.885 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.886 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.887 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 1.887 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.887 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.887 * [taylor]: Taking taylor expansion of y.im in y.re 1.887 * [backup-simplify]: Simplify y.im into y.im 1.887 * [taylor]: Taking taylor expansion of x.im in y.re 1.887 * [backup-simplify]: Simplify x.im into x.im 1.887 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.887 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.887 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 1.887 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.887 * [taylor]: Taking taylor expansion of y.re in y.re 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [taylor]: Taking taylor expansion of x.re in y.re 1.888 * [backup-simplify]: Simplify x.re into x.re 1.888 * [backup-simplify]: Simplify (* 0 x.re) into 0 1.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 1.888 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 1.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.888 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.888 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.888 * [taylor]: Taking taylor expansion of y.im in y.re 1.888 * [backup-simplify]: Simplify y.im into y.im 1.888 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.888 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.888 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.888 * [taylor]: Taking taylor expansion of y.re in y.re 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (* 1 1) into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [backup-simplify]: Simplify (+ 0 1) into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.890 * [backup-simplify]: Simplify (sqrt 1) into 1 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.892 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.892 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.892 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.892 * [taylor]: Taking taylor expansion of y.im in x.re 1.892 * [backup-simplify]: Simplify y.im into y.im 1.892 * [taylor]: Taking taylor expansion of x.im in x.re 1.892 * [backup-simplify]: Simplify x.im into x.im 1.892 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.892 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.892 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.892 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.892 * [taylor]: Taking taylor expansion of y.re in x.re 1.892 * [backup-simplify]: Simplify y.re into y.re 1.892 * [taylor]: Taking taylor expansion of x.re in x.re 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (* y.re 0) into 0 1.893 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.893 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 1.893 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 1.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 1.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 1.893 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.893 * [taylor]: Taking taylor expansion of y.im in x.re 1.893 * [backup-simplify]: Simplify y.im into y.im 1.893 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.893 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 1.893 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.893 * [taylor]: Taking taylor expansion of y.re in x.re 1.893 * [backup-simplify]: Simplify y.re into y.re 1.893 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.893 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.893 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.894 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.894 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.894 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.894 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.895 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.895 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.895 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.895 * [taylor]: Taking taylor expansion of y.im in x.re 1.895 * [backup-simplify]: Simplify y.im into y.im 1.895 * [taylor]: Taking taylor expansion of x.im in x.re 1.896 * [backup-simplify]: Simplify x.im into x.im 1.896 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.896 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.896 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.896 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.896 * [taylor]: Taking taylor expansion of y.re in x.re 1.896 * [backup-simplify]: Simplify y.re into y.re 1.896 * [taylor]: Taking taylor expansion of x.re in x.re 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (* y.re 0) into 0 1.896 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.896 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 1.896 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 1.896 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.896 * [taylor]: Taking taylor expansion of y.im in x.re 1.896 * [backup-simplify]: Simplify y.im into y.im 1.896 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.896 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 1.896 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.896 * [taylor]: Taking taylor expansion of y.re in x.re 1.896 * [backup-simplify]: Simplify y.re into y.re 1.897 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.897 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.897 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.897 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.897 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.897 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.898 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.899 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 1.899 * [backup-simplify]: Simplify (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 1.899 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 1.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.899 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.899 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.899 * [taylor]: Taking taylor expansion of y.im in y.re 1.899 * [backup-simplify]: Simplify y.im into y.im 1.899 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.899 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.899 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.899 * [taylor]: Taking taylor expansion of y.re in y.re 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [backup-simplify]: Simplify (+ 0 1) into 1 1.901 * [backup-simplify]: Simplify (/ 1 1) into 1 1.901 * [backup-simplify]: Simplify (sqrt 1) into 1 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.903 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 1.903 * [taylor]: Taking taylor expansion of y.re in y.re 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [backup-simplify]: Simplify (* 1 1) into 1 1.904 * [taylor]: Taking taylor expansion of 1 in x.im 1.904 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 1.905 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 1.906 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 1.906 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 1.906 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.906 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.906 * [taylor]: Taking taylor expansion of y.im in y.re 1.906 * [backup-simplify]: Simplify y.im into y.im 1.906 * [taylor]: Taking taylor expansion of x.im in y.re 1.906 * [backup-simplify]: Simplify x.im into x.im 1.906 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.906 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.906 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.906 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.906 * [taylor]: Taking taylor expansion of y.im in y.re 1.906 * [backup-simplify]: Simplify y.im into y.im 1.906 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.906 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.906 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.907 * [taylor]: Taking taylor expansion of y.re in y.re 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (* 1 1) into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [backup-simplify]: Simplify (+ 0 1) into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [backup-simplify]: Simplify (sqrt 1) into 1 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.911 * [taylor]: Taking taylor expansion of 0 in x.im 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [taylor]: Taking taylor expansion of 1 in y.im 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 1.912 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.914 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.914 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.915 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0 1.915 * [taylor]: Taking taylor expansion of 0 in y.re 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [taylor]: Taking taylor expansion of 0 in x.im 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 1.915 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.915 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.915 * [taylor]: Taking taylor expansion of y.im in x.im 1.915 * [backup-simplify]: Simplify y.im into y.im 1.915 * [taylor]: Taking taylor expansion of x.im in x.im 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (* y.im 0) into 0 1.916 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.916 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.916 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 1.916 * [taylor]: Taking taylor expansion of y.im in y.im 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (/ 1 1) into 1 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 1.920 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 1.920 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 1.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 1.920 * [taylor]: Taking taylor expansion of 1/2 in x.im 1.920 * [backup-simplify]: Simplify 1/2 into 1/2 1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 1.920 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.920 * [taylor]: Taking taylor expansion of y.im in x.im 1.920 * [backup-simplify]: Simplify y.im into y.im 1.920 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.920 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.921 * [taylor]: Taking taylor expansion of 0 in y.im 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [taylor]: Taking taylor expansion of 0 in y.im 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 1.922 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.924 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 1.925 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0 1.926 * [taylor]: Taking taylor expansion of 0 in y.re 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [taylor]: Taking taylor expansion of 0 in x.im 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [taylor]: Taking taylor expansion of 0 in x.im 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.927 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 1.927 * [taylor]: Taking taylor expansion of 0 in x.im 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 1.931 * [taylor]: Taking taylor expansion of 0 in x.im 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [taylor]: Taking taylor expansion of 0 in y.im 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 1.932 * [taylor]: Taking taylor expansion of 0 in y.im 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.re)))))) into x.re 1.932 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) into (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 1.932 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in (x.re y.re x.im y.im) around 0 1.932 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.im 1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 1.932 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 1.932 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.933 * [taylor]: Taking taylor expansion of y.im in y.im 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [taylor]: Taking taylor expansion of x.im in y.im 1.933 * [backup-simplify]: Simplify x.im into x.im 1.933 * [backup-simplify]: Simplify (* 0 x.im) into 0 1.933 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 1.933 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 1.933 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 1.933 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.933 * [taylor]: Taking taylor expansion of y.re in y.im 1.933 * [backup-simplify]: Simplify y.re into y.re 1.933 * [taylor]: Taking taylor expansion of x.re in y.im 1.933 * [backup-simplify]: Simplify x.re into x.re 1.933 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.933 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 1.933 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.933 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.933 * [taylor]: Taking taylor expansion of y.im in y.im 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.934 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.934 * [taylor]: Taking taylor expansion of y.re in y.im 1.934 * [backup-simplify]: Simplify y.re into y.re 1.934 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.934 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.934 * [backup-simplify]: Simplify (+ 1 0) into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [backup-simplify]: Simplify (sqrt 1) into 1 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.937 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.im 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 1.937 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.937 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.937 * [taylor]: Taking taylor expansion of y.im in x.im 1.937 * [backup-simplify]: Simplify y.im into y.im 1.937 * [taylor]: Taking taylor expansion of x.im in x.im 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (* y.im 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.937 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.937 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 1.937 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.937 * [taylor]: Taking taylor expansion of y.re in x.im 1.937 * [backup-simplify]: Simplify y.re into y.re 1.937 * [taylor]: Taking taylor expansion of x.re in x.im 1.937 * [backup-simplify]: Simplify x.re into x.re 1.937 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.937 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.937 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 1.937 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 1.937 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.938 * [taylor]: Taking taylor expansion of y.im in x.im 1.938 * [backup-simplify]: Simplify y.im into y.im 1.938 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.938 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 1.938 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 1.938 * [taylor]: Taking taylor expansion of y.re in x.im 1.938 * [backup-simplify]: Simplify y.re into y.re 1.938 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.938 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.938 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.938 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.938 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.939 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.939 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.940 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 1.940 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.940 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.940 * [taylor]: Taking taylor expansion of y.im in y.re 1.940 * [backup-simplify]: Simplify y.im into y.im 1.940 * [taylor]: Taking taylor expansion of x.im in y.re 1.940 * [backup-simplify]: Simplify x.im into x.im 1.940 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.940 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.940 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 1.940 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.940 * [taylor]: Taking taylor expansion of y.re in y.re 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of x.re in y.re 1.940 * [backup-simplify]: Simplify x.re into x.re 1.940 * [backup-simplify]: Simplify (* 0 x.re) into 0 1.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 1.941 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 1.941 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.941 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.941 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.941 * [taylor]: Taking taylor expansion of y.im in y.re 1.941 * [backup-simplify]: Simplify y.im into y.im 1.941 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.941 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.941 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.941 * [taylor]: Taking taylor expansion of y.re in y.re 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [backup-simplify]: Simplify (+ 0 1) into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [backup-simplify]: Simplify (sqrt 1) into 1 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.944 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.944 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.944 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.944 * [taylor]: Taking taylor expansion of y.im in x.re 1.944 * [backup-simplify]: Simplify y.im into y.im 1.944 * [taylor]: Taking taylor expansion of x.im in x.re 1.944 * [backup-simplify]: Simplify x.im into x.im 1.944 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.944 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.944 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.944 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.944 * [taylor]: Taking taylor expansion of y.re in x.re 1.944 * [backup-simplify]: Simplify y.re into y.re 1.944 * [taylor]: Taking taylor expansion of x.re in x.re 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* y.re 0) into 0 1.945 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.945 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 1.945 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 1.945 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.945 * [taylor]: Taking taylor expansion of y.im in x.re 1.945 * [backup-simplify]: Simplify y.im into y.im 1.945 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.945 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 1.945 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.945 * [taylor]: Taking taylor expansion of y.re in x.re 1.945 * [backup-simplify]: Simplify y.re into y.re 1.945 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.945 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.945 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.946 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.946 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.946 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.946 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.947 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 1.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.947 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.947 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.947 * [taylor]: Taking taylor expansion of y.im in x.re 1.947 * [backup-simplify]: Simplify y.im into y.im 1.947 * [taylor]: Taking taylor expansion of x.im in x.re 1.947 * [backup-simplify]: Simplify x.im into x.im 1.947 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.947 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.948 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.948 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.948 * [taylor]: Taking taylor expansion of y.re in x.re 1.948 * [backup-simplify]: Simplify y.re into y.re 1.948 * [taylor]: Taking taylor expansion of x.re in x.re 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* y.re 0) into 0 1.948 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.948 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.948 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 1.948 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 1.948 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.948 * [taylor]: Taking taylor expansion of y.im in x.re 1.948 * [backup-simplify]: Simplify y.im into y.im 1.948 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.948 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 1.948 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.948 * [taylor]: Taking taylor expansion of y.re in x.re 1.948 * [backup-simplify]: Simplify y.re into y.re 1.948 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.948 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.949 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.949 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.949 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.949 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.949 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 1.951 * [backup-simplify]: Simplify (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 1.951 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 1.951 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.951 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.951 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.951 * [taylor]: Taking taylor expansion of y.im in y.re 1.951 * [backup-simplify]: Simplify y.im into y.im 1.951 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.951 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.951 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.951 * [taylor]: Taking taylor expansion of y.re in y.re 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (* 1 1) into 1 1.952 * [backup-simplify]: Simplify (/ 1 1) into 1 1.952 * [backup-simplify]: Simplify (+ 0 1) into 1 1.952 * [backup-simplify]: Simplify (/ 1 1) into 1 1.953 * [backup-simplify]: Simplify (sqrt 1) into 1 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.954 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 1.954 * [taylor]: Taking taylor expansion of y.re in y.re 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 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [taylor]: Taking taylor expansion of 1 in x.im 1.955 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 1.956 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 1.956 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 1.956 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 1.956 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.956 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.956 * [taylor]: Taking taylor expansion of y.im in y.re 1.956 * [backup-simplify]: Simplify y.im into y.im 1.956 * [taylor]: Taking taylor expansion of x.im in y.re 1.956 * [backup-simplify]: Simplify x.im into x.im 1.956 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.956 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.956 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.956 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.956 * [taylor]: Taking taylor expansion of y.im in y.re 1.956 * [backup-simplify]: Simplify y.im into y.im 1.956 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.957 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.957 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.957 * [taylor]: Taking taylor expansion of y.re in y.re 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (* 1 1) into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [backup-simplify]: Simplify (+ 0 1) into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [backup-simplify]: Simplify (sqrt 1) into 1 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.961 * [taylor]: Taking taylor expansion of 0 in x.im 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [taylor]: Taking taylor expansion of 1 in y.im 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 1.962 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.963 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.964 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0 1.965 * [taylor]: Taking taylor expansion of 0 in y.re 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [taylor]: Taking taylor expansion of 0 in x.im 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 1.965 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.965 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.965 * [taylor]: Taking taylor expansion of y.im in x.im 1.965 * [backup-simplify]: Simplify y.im into y.im 1.965 * [taylor]: Taking taylor expansion of x.im in x.im 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (* y.im 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.967 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.968 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 1.968 * [taylor]: Taking taylor expansion of y.im in y.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 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 1.972 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 1.973 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 1.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 1.973 * [taylor]: Taking taylor expansion of 1/2 in x.im 1.973 * [backup-simplify]: Simplify 1/2 into 1/2 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 1.973 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.973 * [taylor]: Taking taylor expansion of y.im in x.im 1.973 * [backup-simplify]: Simplify y.im into y.im 1.973 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.974 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.974 * [taylor]: Taking taylor expansion of 0 in y.im 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [taylor]: Taking taylor expansion of 0 in y.im 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 1.976 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.980 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 1.982 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0 1.983 * [taylor]: Taking taylor expansion of 0 in y.re 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [taylor]: Taking taylor expansion of 0 in x.im 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [taylor]: Taking taylor expansion of 0 in x.im 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.984 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 1.984 * [taylor]: Taking taylor expansion of 0 in x.im 1.984 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 1.992 * [taylor]: Taking taylor expansion of 0 in x.im 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [taylor]: Taking taylor expansion of 0 in y.im 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 1.993 * [taylor]: Taking taylor expansion of 0 in y.im 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.re))))))) into (* -1 x.re) 1.993 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.993 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.re x.re) (* y.im x.im)) 1.993 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 1.993 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 1.993 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.993 * [taylor]: Taking taylor expansion of y.re in y.im 1.993 * [backup-simplify]: Simplify y.re into y.re 1.993 * [taylor]: Taking taylor expansion of x.re in y.im 1.993 * [backup-simplify]: Simplify x.re into x.re 1.993 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.994 * [taylor]: Taking taylor expansion of y.im in y.im 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [taylor]: Taking taylor expansion of x.im in y.im 1.994 * [backup-simplify]: Simplify x.im into x.im 1.994 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 1.994 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.994 * [taylor]: Taking taylor expansion of y.re in x.im 1.994 * [backup-simplify]: Simplify y.re into y.re 1.994 * [taylor]: Taking taylor expansion of x.re in x.im 1.994 * [backup-simplify]: Simplify x.re into x.re 1.994 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.994 * [taylor]: Taking taylor expansion of y.im in x.im 1.994 * [backup-simplify]: Simplify y.im into y.im 1.994 * [taylor]: Taking taylor expansion of x.im in x.im 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 1.994 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.994 * [taylor]: Taking taylor expansion of y.re in y.re 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [taylor]: Taking taylor expansion of x.re in y.re 1.994 * [backup-simplify]: Simplify x.re into x.re 1.994 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.994 * [taylor]: Taking taylor expansion of y.im in y.re 1.994 * [backup-simplify]: Simplify y.im into y.im 1.994 * [taylor]: Taking taylor expansion of x.im in y.re 1.994 * [backup-simplify]: Simplify x.im into x.im 1.994 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 1.994 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.994 * [taylor]: Taking taylor expansion of y.re in x.re 1.994 * [backup-simplify]: Simplify y.re into y.re 1.994 * [taylor]: Taking taylor expansion of x.re in x.re 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.995 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.995 * [taylor]: Taking taylor expansion of y.im in x.re 1.995 * [backup-simplify]: Simplify y.im into y.im 1.995 * [taylor]: Taking taylor expansion of x.im in x.re 1.995 * [backup-simplify]: Simplify x.im into x.im 1.995 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 1.995 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.995 * [taylor]: Taking taylor expansion of y.re in x.re 1.995 * [backup-simplify]: Simplify y.re into y.re 1.995 * [taylor]: Taking taylor expansion of x.re in x.re 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.995 * [taylor]: Taking taylor expansion of y.im in x.re 1.995 * [backup-simplify]: Simplify y.im into y.im 1.995 * [taylor]: Taking taylor expansion of x.im in x.re 1.995 * [backup-simplify]: Simplify x.im into x.im 1.995 * [backup-simplify]: Simplify (* y.re 0) into 0 1.995 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.995 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 1.995 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.995 * [taylor]: Taking taylor expansion of y.im in y.re 1.995 * [backup-simplify]: Simplify y.im into y.im 1.995 * [taylor]: Taking taylor expansion of x.im in y.re 1.995 * [backup-simplify]: Simplify x.im into x.im 1.995 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.995 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.995 * [taylor]: Taking taylor expansion of y.im in x.im 1.996 * [backup-simplify]: Simplify y.im into y.im 1.996 * [taylor]: Taking taylor expansion of x.im in x.im 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (* y.im 0) into 0 1.996 * [taylor]: Taking taylor expansion of 0 in y.im 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.996 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.996 * [backup-simplify]: Simplify (+ y.re 0) into y.re 1.996 * [taylor]: Taking taylor expansion of y.re in y.re 1.996 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of 0 in x.im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [taylor]: Taking taylor expansion of 0 in y.im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.997 * [taylor]: Taking taylor expansion of 0 in x.im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [taylor]: Taking taylor expansion of 0 in y.im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.997 * [taylor]: Taking taylor expansion of y.im in y.im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.999 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [taylor]: Taking taylor expansion of 0 in y.re 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [taylor]: Taking taylor expansion of 0 in x.im 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [taylor]: Taking taylor expansion of 0 in y.im 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 2.000 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.000 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.000 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.000 * [taylor]: Taking taylor expansion of y.im in y.im 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [taylor]: Taking taylor expansion of x.im in y.im 2.000 * [backup-simplify]: Simplify x.im into x.im 2.000 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.001 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.001 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.001 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.001 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.001 * [taylor]: Taking taylor expansion of y.re in y.im 2.001 * [backup-simplify]: Simplify y.re into y.re 2.001 * [taylor]: Taking taylor expansion of x.re in y.im 2.001 * [backup-simplify]: Simplify x.re into x.re 2.001 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.001 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 2.001 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.001 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.001 * [taylor]: Taking taylor expansion of y.im in x.im 2.001 * [backup-simplify]: Simplify y.im into y.im 2.001 * [taylor]: Taking taylor expansion of x.im in x.im 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (* y.im 0) into 0 2.002 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.002 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.002 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 2.002 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.002 * [taylor]: Taking taylor expansion of y.re in x.im 2.002 * [backup-simplify]: Simplify y.re into y.re 2.002 * [taylor]: Taking taylor expansion of x.re in x.im 2.002 * [backup-simplify]: Simplify x.re into x.re 2.002 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.002 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.002 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.002 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.002 * [taylor]: Taking taylor expansion of y.im in y.re 2.002 * [backup-simplify]: Simplify y.im into y.im 2.003 * [taylor]: Taking taylor expansion of x.im in y.re 2.003 * [backup-simplify]: Simplify x.im into x.im 2.003 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.003 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.003 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.003 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.003 * [taylor]: Taking taylor expansion of y.re in y.re 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [taylor]: Taking taylor expansion of x.re in y.re 2.003 * [backup-simplify]: Simplify x.re into x.re 2.003 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.003 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.003 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.004 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.004 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.004 * [taylor]: Taking taylor expansion of y.im in x.re 2.004 * [backup-simplify]: Simplify y.im into y.im 2.004 * [taylor]: Taking taylor expansion of x.im in x.re 2.004 * [backup-simplify]: Simplify x.im into x.im 2.004 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.004 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.004 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.004 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.004 * [taylor]: Taking taylor expansion of y.re in x.re 2.004 * [backup-simplify]: Simplify y.re into y.re 2.004 * [taylor]: Taking taylor expansion of x.re in x.re 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* y.re 0) into 0 2.005 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.005 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.005 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.005 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.005 * [taylor]: Taking taylor expansion of y.im in x.re 2.005 * [backup-simplify]: Simplify y.im into y.im 2.005 * [taylor]: Taking taylor expansion of x.im in x.re 2.005 * [backup-simplify]: Simplify x.im into x.im 2.005 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.005 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.005 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.005 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.005 * [taylor]: Taking taylor expansion of y.re in x.re 2.005 * [backup-simplify]: Simplify y.re into y.re 2.005 * [taylor]: Taking taylor expansion of x.re in x.re 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* y.re 0) into 0 2.006 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.006 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.006 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.006 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 2.006 * [taylor]: Taking taylor expansion of y.re in y.re 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [taylor]: Taking taylor expansion of 1 in x.im 2.006 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 2.007 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.007 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.008 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.008 * [taylor]: Taking taylor expansion of y.im in y.re 2.008 * [backup-simplify]: Simplify y.im into y.im 2.008 * [taylor]: Taking taylor expansion of x.im in y.re 2.008 * [backup-simplify]: Simplify x.im into x.im 2.008 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.008 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.009 * [taylor]: Taking taylor expansion of 0 in x.im 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [taylor]: Taking taylor expansion of 1 in y.im 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.010 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [taylor]: Taking taylor expansion of 0 in y.re 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.010 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.010 * [taylor]: Taking taylor expansion of y.im in x.im 2.010 * [backup-simplify]: Simplify y.im into y.im 2.010 * [taylor]: Taking taylor expansion of x.im in x.im 2.010 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (* y.im 0) into 0 2.011 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.011 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.011 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 2.011 * [taylor]: Taking taylor expansion of y.im in y.im 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [taylor]: Taking taylor expansion of 0 in x.im 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [taylor]: Taking taylor expansion of 0 in y.im 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [taylor]: Taking taylor expansion of 0 in y.im 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.014 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.015 * [taylor]: Taking taylor expansion of 0 in y.re 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [taylor]: Taking taylor expansion of 0 in x.im 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.015 * [taylor]: Taking taylor expansion of 0 in x.im 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [taylor]: Taking taylor expansion of 0 in x.im 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 2.017 * [taylor]: Taking taylor expansion of 0 in y.im 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [taylor]: Taking taylor expansion of 0 in y.im 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [taylor]: Taking taylor expansion of 0 in y.im 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [taylor]: Taking taylor expansion of 0 in y.im 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.020 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [taylor]: Taking taylor expansion of 0 in y.re 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [taylor]: Taking taylor expansion of 0 in x.im 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [taylor]: Taking taylor expansion of 0 in x.im 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.022 * [taylor]: Taking taylor expansion of 0 in x.im 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [taylor]: Taking taylor expansion of 0 in x.im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [taylor]: Taking taylor expansion of 0 in y.im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [taylor]: Taking taylor expansion of 0 in y.im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [taylor]: Taking taylor expansion of 0 in y.im 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 2.024 * [taylor]: Taking taylor expansion of 0 in y.im 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [taylor]: Taking taylor expansion of 0 in y.im 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [taylor]: Taking taylor expansion of 0 in y.im 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [taylor]: Taking taylor expansion of 0 in y.im 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.re)))))) (* 1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.im)) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 2.025 * [backup-simplify]: Simplify (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 2.025 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 2.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.025 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.025 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.025 * [taylor]: Taking taylor expansion of y.im in y.im 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of x.im in y.im 2.026 * [backup-simplify]: Simplify x.im into x.im 2.026 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.026 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.026 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.026 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.026 * [taylor]: Taking taylor expansion of y.re in y.im 2.026 * [backup-simplify]: Simplify y.re into y.re 2.026 * [taylor]: Taking taylor expansion of x.re in y.im 2.026 * [backup-simplify]: Simplify x.re into x.re 2.026 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.026 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 2.026 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.026 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.026 * [taylor]: Taking taylor expansion of y.im in x.im 2.026 * [backup-simplify]: Simplify y.im into y.im 2.027 * [taylor]: Taking taylor expansion of x.im in x.im 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (* y.im 0) into 0 2.027 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.027 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.027 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 2.027 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.027 * [taylor]: Taking taylor expansion of y.re in x.im 2.027 * [backup-simplify]: Simplify y.re into y.re 2.027 * [taylor]: Taking taylor expansion of x.re in x.im 2.027 * [backup-simplify]: Simplify x.re into x.re 2.027 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.027 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.027 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.027 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.027 * [taylor]: Taking taylor expansion of y.im in y.re 2.027 * [backup-simplify]: Simplify y.im into y.im 2.027 * [taylor]: Taking taylor expansion of x.im in y.re 2.028 * [backup-simplify]: Simplify x.im into x.im 2.028 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.028 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.028 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.028 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.028 * [taylor]: Taking taylor expansion of y.re in y.re 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of x.re in y.re 2.028 * [backup-simplify]: Simplify x.re into x.re 2.028 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.028 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.028 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.028 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.028 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.028 * [taylor]: Taking taylor expansion of y.im in x.re 2.028 * [backup-simplify]: Simplify y.im into y.im 2.028 * [taylor]: Taking taylor expansion of x.im in x.re 2.028 * [backup-simplify]: Simplify x.im into x.im 2.029 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.029 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.029 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.029 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.029 * [taylor]: Taking taylor expansion of y.re in x.re 2.029 * [backup-simplify]: Simplify y.re into y.re 2.029 * [taylor]: Taking taylor expansion of x.re in x.re 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (* y.re 0) into 0 2.029 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.029 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.029 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.029 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.029 * [taylor]: Taking taylor expansion of y.im in x.re 2.029 * [backup-simplify]: Simplify y.im into y.im 2.029 * [taylor]: Taking taylor expansion of x.im in x.re 2.029 * [backup-simplify]: Simplify x.im into x.im 2.029 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.030 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.030 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.030 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.030 * [taylor]: Taking taylor expansion of y.re in x.re 2.030 * [backup-simplify]: Simplify y.re into y.re 2.030 * [taylor]: Taking taylor expansion of x.re in x.re 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (* y.re 0) into 0 2.030 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.030 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.030 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.030 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 2.030 * [taylor]: Taking taylor expansion of y.re in y.re 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [taylor]: Taking taylor expansion of 1 in x.im 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 2.032 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.032 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.032 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.032 * [taylor]: Taking taylor expansion of y.im in y.re 2.032 * [backup-simplify]: Simplify y.im into y.im 2.032 * [taylor]: Taking taylor expansion of x.im in y.re 2.032 * [backup-simplify]: Simplify x.im into x.im 2.032 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.032 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.033 * [taylor]: Taking taylor expansion of 0 in x.im 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [taylor]: Taking taylor expansion of 1 in y.im 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.034 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [taylor]: Taking taylor expansion of 0 in y.re 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.034 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.034 * [taylor]: Taking taylor expansion of y.im in x.im 2.034 * [backup-simplify]: Simplify y.im into y.im 2.034 * [taylor]: Taking taylor expansion of x.im in x.im 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* y.im 0) into 0 2.035 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.035 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.035 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 2.035 * [taylor]: Taking taylor expansion of y.im in y.im 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [taylor]: Taking taylor expansion of 0 in x.im 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [taylor]: Taking taylor expansion of 0 in y.im 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [taylor]: Taking taylor expansion of 0 in y.im 2.036 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.038 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [taylor]: Taking taylor expansion of 0 in y.re 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [taylor]: Taking taylor expansion of 0 in x.im 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.039 * [taylor]: Taking taylor expansion of 0 in x.im 2.039 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.040 * [taylor]: Taking taylor expansion of 0 in x.im 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 2.041 * [taylor]: Taking taylor expansion of 0 in y.im 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [taylor]: Taking taylor expansion of 0 in y.im 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [taylor]: Taking taylor expansion of 0 in y.im 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [taylor]: Taking taylor expansion of 0 in y.im 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.044 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [taylor]: Taking taylor expansion of 0 in y.re 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [taylor]: Taking taylor expansion of 0 in x.im 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [taylor]: Taking taylor expansion of 0 in x.im 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.045 * [taylor]: Taking taylor expansion of 0 in x.im 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [taylor]: Taking taylor expansion of 0 in x.im 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [taylor]: Taking taylor expansion of 0 in y.im 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [taylor]: Taking taylor expansion of 0 in y.im 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [taylor]: Taking taylor expansion of 0 in y.im 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 2.047 * [taylor]: Taking taylor expansion of 0 in y.im 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [taylor]: Taking taylor expansion of 0 in y.im 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [taylor]: Taking taylor expansion of 0 in y.im 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [taylor]: Taking taylor expansion of 0 in y.im 2.047 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.re))))))) (* 1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.im))) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 2.048 * * * [progress]: simplifying candidates 2.051 * [simplify]: Simplifying: (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))) (/ 1 2) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))) (/ 1 2) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (- (log (+ (* x.re y.re) (* x.im y.im))) (log (sqrt (+ (* y.re y.re) (* y.im y.im))))) (log (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (exp (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (- (+ (* x.re y.re) (* x.im y.im))) (- (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt 1)) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt 1)) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt 1)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 1) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt 1)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) 1) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.re y.re) (* x.im y.im))) (* (exp (* x.re y.re)) (exp (* x.im y.im))) (log (+ (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im))) (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)) y.im y.re (* -1 y.re) y.im y.re (* -1 y.re) x.im x.re (* -1 x.re) 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 2.055 * * [simplify]: Extracting # 0 : cost 0 2.055 * * [simplify]: Extracting # 1 : cost 0 2.056 * * [simplify]: Extracting # 2 : cost 0 2.056 * * [simplify]: Extracting # 3 : cost 0 2.057 * * [simplify]: Extracting # 4 : cost 0 2.057 * * [simplify]: Extracting # 5 : cost 0 2.057 * * [simplify]: Extracting # 6 : cost 0 2.058 * * [simplify]: iteration 0 : 117 enodes (cost 1780 ) 2.112 * * [simplify]: Extracting # 0 : cost 0 2.112 * * [simplify]: Extracting # 1 : cost 0 2.113 * * [simplify]: Extracting # 2 : cost 0 2.114 * * [simplify]: Extracting # 3 : cost 0 2.114 * * [simplify]: Extracting # 4 : cost 0 2.115 * * [simplify]: iteration 1 : 280 enodes (cost 1649 ) 2.205 * * [simplify]: Extracting # 0 : cost 0 2.210 * * [simplify]: Extracting # 1 : cost 0 2.212 * * [simplify]: Extracting # 2 : cost 0 2.213 * * [simplify]: Extracting # 3 : cost 0 2.214 * * [simplify]: Extracting # 4 : cost 0 2.217 * * [simplify]: Extracting # 5 : cost 0 2.219 * * [simplify]: iteration 2 : 1173 enodes (cost 1543 ) 2.951 * * [simplify]: Extracting # 0 : cost 0 2.975 * * [simplify]: Extracting # 1 : cost 0 2.981 * * [simplify]: Extracting # 2 : cost 0 2.986 * * [simplify]: Extracting # 3 : cost 0 2.992 * * [simplify]: Extracting # 4 : cost 0 2.998 * * [simplify]: iteration done: 5000 enodes (cost 1541 ) 2.998 * [simplify]: Simplified to: (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow y.im 6) (pow y.re 6))) (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* y.re (pow y.re 3)))) (sqrt (- (* y.re (pow y.re 3)) (* (pow y.im 3) y.im))) (sqrt (- (* y.re y.re) (* y.im y.im))) 1/2 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow y.im 6) (pow y.re 6))) (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* y.re (pow y.re 3)))) (sqrt (- (* y.re (pow y.re 3)) (* (pow y.im 3) y.im))) (sqrt (- (* y.re y.re) (* y.im y.im))) 1/2 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (log (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (exp (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3) (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (- (+ (* y.im x.im) (* y.re x.re))) (- (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* y.im x.im) (* y.re x.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1 (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1 (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* y.im x.im) (* y.re x.re)) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* y.re x.re)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* y.re x.re)) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (pow y.im 6) (pow y.re 6)))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (- (* y.re (pow y.re 3)) (* (pow y.im 3) y.im)))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re))))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (log (+ (* y.im x.im) (* y.re x.re))) (exp (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im))) (pow (+ (* y.im x.im) (* y.re x.re)) 3) (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re)))) (* (+ (* y.im x.im) (* y.re x.re)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)) y.im y.re (- y.re) y.im y.re (- y.re) x.im x.re (- x.re) 0 (+ (* y.im x.im) (* y.re x.re)) (+ (* y.im x.im) (* y.re x.re)) 2.999 * * * [progress]: adding candidates to table 3.914 * * [progress]: iteration 3 / 4 3.914 * * * [progress]: picking best candidate 3.945 * * * * [pick]: Picked # 3.945 * * * [progress]: localizing error 3.975 * * * [progress]: generating rewritten candidates 3.975 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.991 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.999 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.036 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 4.048 * * * [progress]: generating series expansions 4.048 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.049 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 4.049 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 4.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 4.049 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 4.049 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.049 * [taylor]: Taking taylor expansion of y.im in y.im 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.049 * [taylor]: Taking taylor expansion of y.re in y.im 4.049 * [backup-simplify]: Simplify y.re into y.re 4.049 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.049 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 4.049 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 4.049 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 4.050 * [backup-simplify]: Simplify (+ 0 0) into 0 4.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 4.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 4.050 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.050 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.050 * [taylor]: Taking taylor expansion of y.im in y.re 4.050 * [backup-simplify]: Simplify y.im into y.im 4.050 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.050 * [taylor]: Taking taylor expansion of y.re in y.re 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.050 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.050 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 4.050 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.050 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 4.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 4.051 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.051 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.051 * [taylor]: Taking taylor expansion of y.im in y.re 4.051 * [backup-simplify]: Simplify y.im into y.im 4.051 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.051 * [taylor]: Taking taylor expansion of y.re in y.re 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.051 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.051 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 4.051 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.051 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 4.051 * [taylor]: Taking taylor expansion of y.im in y.im 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify 0 into 0 4.052 * [taylor]: Taking taylor expansion of 0 in y.im 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 4.052 * [backup-simplify]: Simplify (* 1 1) into 1 4.052 * [backup-simplify]: Simplify (+ 0 1) into 1 4.053 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 4.053 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 4.053 * [taylor]: Taking taylor expansion of 1/2 in y.im 4.053 * [backup-simplify]: Simplify 1/2 into 1/2 4.053 * [taylor]: Taking taylor expansion of y.im in y.im 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.055 * [backup-simplify]: Simplify (+ 0 0) into 0 4.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 4.055 * [taylor]: Taking taylor expansion of 0 in y.im 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 4.056 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 4.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 4.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.056 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.056 * [taylor]: Taking taylor expansion of y.im in y.im 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.057 * [backup-simplify]: Simplify (* 1 1) into 1 4.057 * [backup-simplify]: Simplify (/ 1 1) into 1 4.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.057 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.057 * [taylor]: Taking taylor expansion of y.re in y.im 4.057 * [backup-simplify]: Simplify y.re into y.re 4.057 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.057 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.057 * [backup-simplify]: Simplify (+ 1 0) into 1 4.058 * [backup-simplify]: Simplify (sqrt 1) into 1 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.059 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.059 * [taylor]: Taking taylor expansion of y.im in y.re 4.059 * [backup-simplify]: Simplify y.im into y.im 4.059 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.060 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.060 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.060 * [taylor]: Taking taylor expansion of y.re in y.re 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 1 into 1 4.060 * [backup-simplify]: Simplify (* 1 1) into 1 4.060 * [backup-simplify]: Simplify (/ 1 1) into 1 4.061 * [backup-simplify]: Simplify (+ 0 1) into 1 4.061 * [backup-simplify]: Simplify (sqrt 1) into 1 4.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ 0 0) into 0 4.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.063 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.063 * [taylor]: Taking taylor expansion of y.im in y.re 4.063 * [backup-simplify]: Simplify y.im into y.im 4.063 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.063 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.063 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.063 * [taylor]: Taking taylor expansion of y.re in y.re 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.064 * [backup-simplify]: Simplify (/ 1 1) into 1 4.064 * [backup-simplify]: Simplify (+ 0 1) into 1 4.065 * [backup-simplify]: Simplify (sqrt 1) into 1 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.066 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.066 * [taylor]: Taking taylor expansion of 1 in y.im 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [taylor]: Taking taylor expansion of 0 in y.im 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.070 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 4.070 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 4.070 * [taylor]: Taking taylor expansion of 1/2 in y.im 4.070 * [backup-simplify]: Simplify 1/2 into 1/2 4.070 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.070 * [taylor]: Taking taylor expansion of y.im in y.im 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (* 1 1) into 1 4.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (+ 0 0) into 0 4.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 4.082 * [taylor]: Taking taylor expansion of 0 in y.im 4.082 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 4.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 4.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 4.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.085 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.085 * [taylor]: Taking taylor expansion of y.im in y.im 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (/ 1 1) into 1 4.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.086 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.086 * [taylor]: Taking taylor expansion of y.re in y.im 4.086 * [backup-simplify]: Simplify y.re into y.re 4.086 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.086 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.087 * [backup-simplify]: Simplify (+ 1 0) into 1 4.087 * [backup-simplify]: Simplify (sqrt 1) into 1 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (+ 0 0) into 0 4.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.090 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.090 * [taylor]: Taking taylor expansion of y.im in y.re 4.090 * [backup-simplify]: Simplify y.im into y.im 4.090 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.090 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.090 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.090 * [taylor]: Taking taylor expansion of y.re in y.re 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (* 1 1) into 1 4.091 * [backup-simplify]: Simplify (/ 1 1) into 1 4.091 * [backup-simplify]: Simplify (+ 0 1) into 1 4.091 * [backup-simplify]: Simplify (sqrt 1) into 1 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.093 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.093 * [taylor]: Taking taylor expansion of y.im in y.re 4.093 * [backup-simplify]: Simplify y.im into y.im 4.093 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.093 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.093 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.093 * [taylor]: Taking taylor expansion of y.re in y.re 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [backup-simplify]: Simplify (* 1 1) into 1 4.094 * [backup-simplify]: Simplify (/ 1 1) into 1 4.094 * [backup-simplify]: Simplify (+ 0 1) into 1 4.094 * [backup-simplify]: Simplify (sqrt 1) into 1 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ 0 0) into 0 4.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.096 * [taylor]: Taking taylor expansion of 1 in y.im 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [taylor]: Taking taylor expansion of 0 in y.im 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.098 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 4.098 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 4.098 * [taylor]: Taking taylor expansion of 1/2 in y.im 4.098 * [backup-simplify]: Simplify 1/2 into 1/2 4.098 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.098 * [taylor]: Taking taylor expansion of y.im in y.im 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (* 1 1) into 1 4.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (+ 0 0) into 0 4.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 4.101 * [taylor]: Taking taylor expansion of 0 in y.im 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 4.103 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.103 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 4.103 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 4.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 4.103 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 4.103 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.103 * [taylor]: Taking taylor expansion of y.im in y.im 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.103 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.103 * [taylor]: Taking taylor expansion of y.re in y.im 4.103 * [backup-simplify]: Simplify y.re into y.re 4.103 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.103 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 4.103 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 4.103 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 4.104 * [backup-simplify]: Simplify (+ 0 0) into 0 4.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 4.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 4.104 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.104 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.104 * [taylor]: Taking taylor expansion of y.im in y.re 4.104 * [backup-simplify]: Simplify y.im into y.im 4.104 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.104 * [taylor]: Taking taylor expansion of y.re in y.re 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.104 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.104 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 4.104 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 4.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 4.105 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.105 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.105 * [taylor]: Taking taylor expansion of y.im in y.re 4.105 * [backup-simplify]: Simplify y.im into y.im 4.105 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.105 * [taylor]: Taking taylor expansion of y.re in y.re 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.105 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.105 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.105 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 4.105 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 4.106 * [taylor]: Taking taylor expansion of y.im in y.im 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [taylor]: Taking taylor expansion of 0 in y.im 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 4.106 * [backup-simplify]: Simplify (* 1 1) into 1 4.106 * [backup-simplify]: Simplify (+ 0 1) into 1 4.107 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 4.107 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 4.107 * [taylor]: Taking taylor expansion of 1/2 in y.im 4.107 * [backup-simplify]: Simplify 1/2 into 1/2 4.107 * [taylor]: Taking taylor expansion of y.im in y.im 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.109 * [backup-simplify]: Simplify (+ 0 0) into 0 4.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 4.109 * [taylor]: Taking taylor expansion of 0 in y.im 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 4.110 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.110 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 4.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 4.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.110 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.110 * [taylor]: Taking taylor expansion of y.im in y.im 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (* 1 1) into 1 4.111 * [backup-simplify]: Simplify (/ 1 1) into 1 4.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.111 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.111 * [taylor]: Taking taylor expansion of y.re in y.im 4.111 * [backup-simplify]: Simplify y.re into y.re 4.111 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.111 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.111 * [backup-simplify]: Simplify (+ 1 0) into 1 4.112 * [backup-simplify]: Simplify (sqrt 1) into 1 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.113 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.113 * [taylor]: Taking taylor expansion of y.im in y.re 4.113 * [backup-simplify]: Simplify y.im into y.im 4.113 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.113 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.114 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.114 * [taylor]: Taking taylor expansion of y.re in y.re 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (* 1 1) into 1 4.114 * [backup-simplify]: Simplify (/ 1 1) into 1 4.114 * [backup-simplify]: Simplify (+ 0 1) into 1 4.115 * [backup-simplify]: Simplify (sqrt 1) into 1 4.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.116 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.116 * [taylor]: Taking taylor expansion of y.im in y.re 4.116 * [backup-simplify]: Simplify y.im into y.im 4.116 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.116 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.116 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.116 * [taylor]: Taking taylor expansion of y.re in y.re 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.117 * [backup-simplify]: Simplify (* 1 1) into 1 4.117 * [backup-simplify]: Simplify (/ 1 1) into 1 4.117 * [backup-simplify]: Simplify (+ 0 1) into 1 4.117 * [backup-simplify]: Simplify (sqrt 1) into 1 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (+ 0 0) into 0 4.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.119 * [taylor]: Taking taylor expansion of 1 in y.im 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [taylor]: Taking taylor expansion of 0 in y.im 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.122 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 4.122 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 4.122 * [taylor]: Taking taylor expansion of 1/2 in y.im 4.122 * [backup-simplify]: Simplify 1/2 into 1/2 4.122 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.122 * [taylor]: Taking taylor expansion of y.im in y.im 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (* 1 1) into 1 4.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 4.128 * [taylor]: Taking taylor expansion of 0 in y.im 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 4.129 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.129 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 4.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 4.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.129 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.129 * [taylor]: Taking taylor expansion of y.im in y.im 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (* 1 1) into 1 4.130 * [backup-simplify]: Simplify (/ 1 1) into 1 4.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.130 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.130 * [taylor]: Taking taylor expansion of y.re in y.im 4.130 * [backup-simplify]: Simplify y.re into y.re 4.130 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.130 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.130 * [backup-simplify]: Simplify (+ 1 0) into 1 4.130 * [backup-simplify]: Simplify (sqrt 1) into 1 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (+ 0 0) into 0 4.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.132 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.132 * [taylor]: Taking taylor expansion of y.im in y.re 4.132 * [backup-simplify]: Simplify y.im into y.im 4.132 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.132 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.132 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.132 * [taylor]: Taking taylor expansion of y.re in y.re 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.133 * [backup-simplify]: Simplify (* 1 1) into 1 4.133 * [backup-simplify]: Simplify (/ 1 1) into 1 4.133 * [backup-simplify]: Simplify (+ 0 1) into 1 4.133 * [backup-simplify]: Simplify (sqrt 1) into 1 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (+ 0 0) into 0 4.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.135 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.135 * [taylor]: Taking taylor expansion of y.im in y.re 4.135 * [backup-simplify]: Simplify y.im into y.im 4.135 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.135 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.135 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.135 * [taylor]: Taking taylor expansion of y.re in y.re 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (* 1 1) into 1 4.136 * [backup-simplify]: Simplify (/ 1 1) into 1 4.136 * [backup-simplify]: Simplify (+ 0 1) into 1 4.136 * [backup-simplify]: Simplify (sqrt 1) into 1 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (+ 0 0) into 0 4.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.138 * [taylor]: Taking taylor expansion of 1 in y.im 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [taylor]: Taking taylor expansion of 0 in y.im 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.139 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.140 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 4.140 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 4.140 * [taylor]: Taking taylor expansion of 1/2 in y.im 4.140 * [backup-simplify]: Simplify 1/2 into 1/2 4.140 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.140 * [taylor]: Taking taylor expansion of y.im in y.im 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (* 1 1) into 1 4.141 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (+ 0 0) into 0 4.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 4.144 * [taylor]: Taking taylor expansion of 0 in y.im 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 4.145 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 4.145 * [backup-simplify]: Simplify (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re))) into (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) 4.146 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in (y.re y.im x.im x.re) around 0 4.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in x.re 4.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in x.re 4.146 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 4.146 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 4.146 * [taylor]: Taking taylor expansion of y.im in x.re 4.146 * [backup-simplify]: Simplify y.im into y.im 4.146 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 4.146 * [taylor]: Taking taylor expansion of y.re in x.re 4.146 * [backup-simplify]: Simplify y.re into y.re 4.146 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.146 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.146 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 4.146 * [backup-simplify]: Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 4.146 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.146 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 4.147 * [backup-simplify]: Simplify (+ 0 0) into 0 4.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0 4.147 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in x.re 4.147 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 4.147 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.147 * [taylor]: Taking taylor expansion of y.re in x.re 4.147 * [backup-simplify]: Simplify y.re into y.re 4.147 * [taylor]: Taking taylor expansion of x.re in x.re 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.147 * [taylor]: Taking taylor expansion of y.im in x.re 4.147 * [backup-simplify]: Simplify y.im into y.im 4.147 * [taylor]: Taking taylor expansion of x.im in x.re 4.147 * [backup-simplify]: Simplify x.im into x.im 4.147 * [backup-simplify]: Simplify (* y.re 0) into 0 4.147 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.147 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.147 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.147 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in x.im 4.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in x.im 4.147 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 4.147 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 4.147 * [taylor]: Taking taylor expansion of y.im in x.im 4.147 * [backup-simplify]: Simplify y.im into y.im 4.147 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 4.147 * [taylor]: Taking taylor expansion of y.re in x.im 4.147 * [backup-simplify]: Simplify y.re into y.re 4.147 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.147 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.148 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 4.148 * [backup-simplify]: Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 4.148 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.148 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 4.148 * [backup-simplify]: Simplify (+ 0 0) into 0 4.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0 4.148 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in x.im 4.148 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 4.148 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.148 * [taylor]: Taking taylor expansion of y.re in x.im 4.148 * [backup-simplify]: Simplify y.re into y.re 4.148 * [taylor]: Taking taylor expansion of x.re in x.im 4.148 * [backup-simplify]: Simplify x.re into x.re 4.148 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.149 * [taylor]: Taking taylor expansion of y.im in x.im 4.149 * [backup-simplify]: Simplify y.im into y.im 4.149 * [taylor]: Taking taylor expansion of x.im in x.im 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.149 * [backup-simplify]: Simplify (* y.im 0) into 0 4.149 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 4.149 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.149 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in y.im 4.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 4.149 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 4.149 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.149 * [taylor]: Taking taylor expansion of y.im in y.im 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.149 * [taylor]: Taking taylor expansion of y.re in y.im 4.149 * [backup-simplify]: Simplify y.re into y.re 4.149 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.149 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 4.149 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 4.149 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 4.150 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 4.150 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in y.im 4.150 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 4.150 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.150 * [taylor]: Taking taylor expansion of y.re in y.im 4.150 * [backup-simplify]: Simplify y.re into y.re 4.150 * [taylor]: Taking taylor expansion of x.re in y.im 4.150 * [backup-simplify]: Simplify x.re into x.re 4.150 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.150 * [taylor]: Taking taylor expansion of y.im in y.im 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [taylor]: Taking taylor expansion of x.im in y.im 4.150 * [backup-simplify]: Simplify x.im into x.im 4.150 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.150 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.150 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 4.150 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.150 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in y.re 4.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 4.150 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.150 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.150 * [taylor]: Taking taylor expansion of y.im in y.re 4.150 * [backup-simplify]: Simplify y.im into y.im 4.150 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.150 * [taylor]: Taking taylor expansion of y.re in y.re 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.151 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.151 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 4.151 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.151 * [backup-simplify]: Simplify (+ 0 0) into 0 4.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 4.151 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in y.re 4.151 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 4.151 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.151 * [taylor]: Taking taylor expansion of y.re in y.re 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [taylor]: Taking taylor expansion of x.re in y.re 4.151 * [backup-simplify]: Simplify x.re into x.re 4.151 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.151 * [taylor]: Taking taylor expansion of y.im in y.re 4.151 * [backup-simplify]: Simplify y.im into y.im 4.151 * [taylor]: Taking taylor expansion of x.im in y.re 4.151 * [backup-simplify]: Simplify x.im into x.im 4.151 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.151 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.151 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.151 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.152 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in y.re 4.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 4.152 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.152 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.152 * [taylor]: Taking taylor expansion of y.im in y.re 4.152 * [backup-simplify]: Simplify y.im into y.im 4.152 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.152 * [taylor]: Taking taylor expansion of y.re in y.re 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.152 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.152 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 4.152 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.152 * [backup-simplify]: Simplify (+ 0 0) into 0 4.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 4.152 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in y.re 4.152 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 4.152 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.152 * [taylor]: Taking taylor expansion of y.re in y.re 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [taylor]: Taking taylor expansion of x.re in y.re 4.152 * [backup-simplify]: Simplify x.re into x.re 4.152 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.152 * [taylor]: Taking taylor expansion of y.im in y.re 4.152 * [backup-simplify]: Simplify y.im into y.im 4.153 * [taylor]: Taking taylor expansion of x.im in y.re 4.153 * [backup-simplify]: Simplify x.im into x.im 4.153 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.153 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.153 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.153 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.153 * [backup-simplify]: Simplify (* y.im (/ 1 (* y.im x.im))) into (/ 1 x.im) 4.153 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im 4.153 * [taylor]: Taking taylor expansion of x.im in y.im 4.153 * [backup-simplify]: Simplify x.im into x.im 4.153 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.153 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.153 * [taylor]: Taking taylor expansion of x.im in x.im 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (/ 1 1) into 1 4.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.154 * [taylor]: Taking taylor expansion of 0 in x.re 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.154 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.154 * [backup-simplify]: Simplify (+ x.re 0) into x.re 4.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ x.re (* y.im x.im))))) into (- (/ x.re (* (pow y.im 2) (pow x.im 2)))) 4.155 * [backup-simplify]: Simplify (+ (* y.im (- (/ x.re (* (pow y.im 2) (pow x.im 2))))) (* 0 (/ 1 (* y.im x.im)))) into (- (/ x.re (* y.im (pow x.im 2)))) 4.155 * [taylor]: Taking taylor expansion of (- (/ x.re (* y.im (pow x.im 2)))) in y.im 4.155 * [taylor]: Taking taylor expansion of (/ x.re (* y.im (pow x.im 2))) in y.im 4.155 * [taylor]: Taking taylor expansion of x.re in y.im 4.155 * [backup-simplify]: Simplify x.re into x.re 4.155 * [taylor]: Taking taylor expansion of (* y.im (pow x.im 2)) in y.im 4.155 * [taylor]: Taking taylor expansion of y.im in y.im 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im 4.155 * [taylor]: Taking taylor expansion of x.im in y.im 4.155 * [backup-simplify]: Simplify x.im into x.im 4.155 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 4.155 * [backup-simplify]: Simplify (* 0 (pow x.im 2)) into 0 4.155 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 4.156 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow x.im 2))) into (pow x.im 2) 4.156 * [backup-simplify]: Simplify (/ x.re (pow x.im 2)) into (/ x.re (pow x.im 2)) 4.157 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow x.im 2)))) into 0 4.158 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ x.re (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0 4.158 * [backup-simplify]: Simplify (- 0) into 0 4.159 * [taylor]: Taking taylor expansion of 0 in x.im 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [taylor]: Taking taylor expansion of 0 in x.re 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.159 * [taylor]: Taking taylor expansion of 0 in x.im 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [taylor]: Taking taylor expansion of 0 in x.re 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.160 * [taylor]: Taking taylor expansion of 0 in x.re 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.162 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.162 * [backup-simplify]: Simplify (+ 0 0) into 0 4.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* (- (/ x.re (* (pow y.im 2) (pow x.im 2)))) (/ x.re (* y.im x.im))))) into (/ (pow x.re 2) (* (pow y.im 3) (pow x.im 3))) 4.164 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 4.164 * [backup-simplify]: Simplify (* 1 1) into 1 4.165 * [backup-simplify]: Simplify (+ 0 1) into 1 4.166 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 4.167 * [backup-simplify]: Simplify (+ (* y.im (/ (pow x.re 2) (* (pow y.im 3) (pow x.im 3)))) (+ (* 0 (- (/ x.re (* (pow y.im 2) (pow x.im 2))))) (* (/ 1/2 y.im) (/ 1 (* y.im x.im))))) into (+ (* 1/2 (/ 1 (* (pow y.im 2) x.im))) (/ (pow x.re 2) (* (pow y.im 2) (pow x.im 3)))) 4.167 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow y.im 2) x.im))) (/ (pow x.re 2) (* (pow y.im 2) (pow x.im 3)))) in y.im 4.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 2) x.im))) in y.im 4.167 * [taylor]: Taking taylor expansion of 1/2 in y.im 4.167 * [backup-simplify]: Simplify 1/2 into 1/2 4.167 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im 4.167 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im 4.167 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.167 * [taylor]: Taking taylor expansion of y.im in y.im 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [taylor]: Taking taylor expansion of x.im in y.im 4.167 * [backup-simplify]: Simplify x.im into x.im 4.168 * [backup-simplify]: Simplify (* 1 1) into 1 4.168 * [backup-simplify]: Simplify (* 1 x.im) into x.im 4.168 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.168 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* (pow y.im 2) (pow x.im 3))) in y.im 4.168 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im 4.168 * [taylor]: Taking taylor expansion of x.re in y.im 4.168 * [backup-simplify]: Simplify x.re into x.re 4.168 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 3)) in y.im 4.168 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.168 * [taylor]: Taking taylor expansion of y.im in y.im 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [taylor]: Taking taylor expansion of (pow x.im 3) in y.im 4.168 * [taylor]: Taking taylor expansion of x.im in y.im 4.168 * [backup-simplify]: Simplify x.im into x.im 4.168 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.169 * [backup-simplify]: Simplify (* 1 1) into 1 4.169 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 4.169 * [backup-simplify]: Simplify (* x.im (pow x.im 2)) into (pow x.im 3) 4.169 * [backup-simplify]: Simplify (* 1 (pow x.im 3)) into (pow x.im 3) 4.169 * [backup-simplify]: Simplify (/ (pow x.re 2) (pow x.im 3)) into (/ (pow x.re 2) (pow x.im 3)) 4.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0 4.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0 4.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x.im)))) into 0 4.174 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 x.re))) into 0 4.174 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.174 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 4.175 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.176 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 (pow x.im 2))) into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow x.im 3)))) into 0 4.178 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 3))) into 0 4.179 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 3)) (+ (* (/ (pow x.re 2) (pow x.im 3)) (/ 0 (pow x.im 3))))) into 0 4.179 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 3)) (+ (* (/ (pow x.re 2) (pow x.im 3)) (/ 0 (pow x.im 3))) (* 0 (/ 0 (pow x.im 3))))) into 0 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.180 * [taylor]: Taking taylor expansion of 0 in x.im 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [taylor]: Taking taylor expansion of 0 in x.re 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) (+ (* (/ 1 y.im) (/ 1 x.im)) (* (/ 1 y.re) (/ 1 x.re)))) into (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 4.181 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in (y.re y.im x.im x.re) around 0 4.181 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 4.181 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.re 4.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.181 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.181 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.181 * [taylor]: Taking taylor expansion of y.im in x.re 4.181 * [backup-simplify]: Simplify y.im into y.im 4.181 * [taylor]: Taking taylor expansion of x.im in x.re 4.181 * [backup-simplify]: Simplify x.im into x.im 4.181 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.181 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.181 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.181 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.181 * [taylor]: Taking taylor expansion of y.re in x.re 4.181 * [backup-simplify]: Simplify y.re into y.re 4.181 * [taylor]: Taking taylor expansion of x.re in x.re 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (* y.re 0) into 0 4.182 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.182 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.182 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 4.182 * [backup-simplify]: Simplify (/ 1 (/ 1 y.re)) into y.re 4.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 4.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 4.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 4.182 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 4.182 * [taylor]: Taking taylor expansion of y.im in x.re 4.182 * [backup-simplify]: Simplify y.im into y.im 4.182 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.183 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 4.183 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 4.183 * [taylor]: Taking taylor expansion of y.re in x.re 4.183 * [backup-simplify]: Simplify y.re into y.re 4.183 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.183 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.183 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.184 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.184 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.184 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 4.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0 4.185 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 4.185 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.im 4.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.185 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.185 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.186 * [taylor]: Taking taylor expansion of y.im in x.im 4.186 * [backup-simplify]: Simplify y.im into y.im 4.186 * [taylor]: Taking taylor expansion of x.im in x.im 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (* y.im 0) into 0 4.186 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.186 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.186 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.186 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.186 * [taylor]: Taking taylor expansion of y.re in x.im 4.186 * [backup-simplify]: Simplify y.re into y.re 4.186 * [taylor]: Taking taylor expansion of x.re in x.im 4.186 * [backup-simplify]: Simplify x.re into x.re 4.186 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.186 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.187 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 4.187 * [backup-simplify]: Simplify (/ 1 (/ 1 y.im)) into y.im 4.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 4.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 4.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 4.187 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 4.187 * [taylor]: Taking taylor expansion of y.im in x.im 4.187 * [backup-simplify]: Simplify y.im into y.im 4.187 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.187 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 4.187 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 4.187 * [taylor]: Taking taylor expansion of y.re in x.im 4.187 * [backup-simplify]: Simplify y.re into y.re 4.187 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.187 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.188 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.188 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.188 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.189 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 4.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 4.189 * [backup-simplify]: Simplify (+ 0 0) into 0 4.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0 4.190 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 4.190 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.im 4.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.190 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.190 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.190 * [taylor]: Taking taylor expansion of y.im in y.im 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * [taylor]: Taking taylor expansion of x.im in y.im 4.190 * [backup-simplify]: Simplify x.im into x.im 4.190 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.191 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.191 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.191 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.191 * [taylor]: Taking taylor expansion of y.re in y.im 4.191 * [backup-simplify]: Simplify y.re into y.re 4.191 * [taylor]: Taking taylor expansion of x.re in y.im 4.191 * [backup-simplify]: Simplify x.re into x.re 4.191 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.191 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.191 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 4.191 * [backup-simplify]: Simplify (/ 1 (/ 1 x.im)) into x.im 4.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 4.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.191 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.191 * [taylor]: Taking taylor expansion of y.im in y.im 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (* 1 1) into 1 4.192 * [backup-simplify]: Simplify (/ 1 1) into 1 4.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.192 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.192 * [taylor]: Taking taylor expansion of y.re in y.im 4.192 * [backup-simplify]: Simplify y.re into y.re 4.192 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.192 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.193 * [backup-simplify]: Simplify (+ 1 0) into 1 4.193 * [backup-simplify]: Simplify (sqrt 1) into 1 4.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (+ 0 0) into 0 4.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.196 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 4.196 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 4.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.196 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.196 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.196 * [taylor]: Taking taylor expansion of y.im in y.re 4.196 * [backup-simplify]: Simplify y.im into y.im 4.196 * [taylor]: Taking taylor expansion of x.im in y.re 4.196 * [backup-simplify]: Simplify x.im into x.im 4.196 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.196 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.196 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.196 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.196 * [taylor]: Taking taylor expansion of y.re in y.re 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [taylor]: Taking taylor expansion of x.re in y.re 4.196 * [backup-simplify]: Simplify x.re into x.re 4.196 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.197 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.197 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.197 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 4.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.197 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.197 * [taylor]: Taking taylor expansion of y.im in y.re 4.197 * [backup-simplify]: Simplify y.im into y.im 4.197 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.198 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.198 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.198 * [taylor]: Taking taylor expansion of y.re in y.re 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (* 1 1) into 1 4.198 * [backup-simplify]: Simplify (/ 1 1) into 1 4.199 * [backup-simplify]: Simplify (+ 0 1) into 1 4.199 * [backup-simplify]: Simplify (sqrt 1) into 1 4.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.207 * [backup-simplify]: Simplify (+ 0 0) into 0 4.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.208 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 4.208 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 4.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.208 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.208 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.208 * [taylor]: Taking taylor expansion of y.im in y.re 4.208 * [backup-simplify]: Simplify y.im into y.im 4.208 * [taylor]: Taking taylor expansion of x.im in y.re 4.208 * [backup-simplify]: Simplify x.im into x.im 4.208 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.208 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.208 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.208 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.208 * [taylor]: Taking taylor expansion of y.re in y.re 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [taylor]: Taking taylor expansion of x.re in y.re 4.208 * [backup-simplify]: Simplify x.re into x.re 4.208 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.208 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.208 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.208 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.208 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 4.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.208 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.209 * [taylor]: Taking taylor expansion of y.im in y.re 4.209 * [backup-simplify]: Simplify y.im into y.im 4.209 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.209 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.209 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.209 * [taylor]: Taking taylor expansion of y.re in y.re 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (* 1 1) into 1 4.209 * [backup-simplify]: Simplify (/ 1 1) into 1 4.210 * [backup-simplify]: Simplify (+ 0 1) into 1 4.210 * [backup-simplify]: Simplify (sqrt 1) into 1 4.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.212 * [backup-simplify]: Simplify (* x.re 1) into x.re 4.212 * [taylor]: Taking taylor expansion of x.re in y.im 4.212 * [backup-simplify]: Simplify x.re into x.re 4.212 * [taylor]: Taking taylor expansion of x.re in x.im 4.212 * [backup-simplify]: Simplify x.re into x.re 4.212 * [taylor]: Taking taylor expansion of 0 in x.re 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.213 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 4.213 * [backup-simplify]: Simplify (- (+ (* x.re (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (- (/ (pow x.re 2) (* y.im x.im))) 4.213 * [backup-simplify]: Simplify (+ (* x.re 0) (* (- (/ (pow x.re 2) (* y.im x.im))) 1)) into (- (/ (pow x.re 2) (* y.im x.im))) 4.213 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) (* y.im x.im))) in y.im 4.213 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* y.im x.im)) in y.im 4.213 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im 4.213 * [taylor]: Taking taylor expansion of x.re in y.im 4.214 * [backup-simplify]: Simplify x.re into x.re 4.214 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.214 * [taylor]: Taking taylor expansion of y.im in y.im 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [taylor]: Taking taylor expansion of x.im in y.im 4.214 * [backup-simplify]: Simplify x.im into x.im 4.214 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.214 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.214 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.214 * [backup-simplify]: Simplify (/ (pow x.re 2) x.im) into (/ (pow x.re 2) x.im) 4.214 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.215 * [backup-simplify]: Simplify (- (/ 0 x.im) (+ (* (/ (pow x.re 2) x.im) (/ 0 x.im)))) into 0 4.215 * [backup-simplify]: Simplify (- 0) into 0 4.215 * [taylor]: Taking taylor expansion of 0 in x.im 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [taylor]: Taking taylor expansion of 0 in x.re 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [taylor]: Taking taylor expansion of 0 in x.im 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [taylor]: Taking taylor expansion of 0 in x.re 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [taylor]: Taking taylor expansion of 0 in x.re 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.217 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 4.218 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.219 * [backup-simplify]: Simplify (+ 0 0) into 0 4.220 * [backup-simplify]: Simplify (- (+ (* x.re (/ 0 (/ 1 x.re))) (* (- (/ (pow x.re 2) (* y.im x.im))) (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) 4.220 * [backup-simplify]: Simplify (+ (* x.re (/ 1/2 (pow y.im 2))) (+ (* (- (/ (pow x.re 2) (* y.im x.im))) 0) (* (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) 1))) into (+ (* 1/2 (/ x.re (pow y.im 2))) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) 4.220 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x.re (pow y.im 2))) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) in y.im 4.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.im 2))) in y.im 4.220 * [taylor]: Taking taylor expansion of 1/2 in y.im 4.220 * [backup-simplify]: Simplify 1/2 into 1/2 4.220 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im 4.220 * [taylor]: Taking taylor expansion of x.re in y.im 4.221 * [backup-simplify]: Simplify x.re into x.re 4.221 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.221 * [taylor]: Taking taylor expansion of y.im in y.im 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [backup-simplify]: Simplify (* 1 1) into 1 4.221 * [backup-simplify]: Simplify (/ x.re 1) into x.re 4.221 * [taylor]: Taking taylor expansion of (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) in y.im 4.221 * [taylor]: Taking taylor expansion of (pow x.re 3) in y.im 4.221 * [taylor]: Taking taylor expansion of x.re in y.im 4.221 * [backup-simplify]: Simplify x.re into x.re 4.221 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 2)) in y.im 4.221 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.221 * [taylor]: Taking taylor expansion of y.im in y.im 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im 4.221 * [taylor]: Taking taylor expansion of x.im in y.im 4.221 * [backup-simplify]: Simplify x.im into x.im 4.221 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.221 * [backup-simplify]: Simplify (* x.re (pow x.re 2)) into (pow x.re 3) 4.221 * [backup-simplify]: Simplify (* 1 1) into 1 4.222 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 4.222 * [backup-simplify]: Simplify (* 1 (pow x.im 2)) into (pow x.im 2) 4.222 * [backup-simplify]: Simplify (/ (pow x.re 3) (pow x.im 2)) into (/ (pow x.re 3) (pow x.im 2)) 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x.re))) into 0 4.225 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 x.re))) into 0 4.225 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.225 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 (pow x.re 2)))) into 0 4.226 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.226 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0 4.227 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 (pow x.re 2))) into 0 4.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 2))) into 0 4.228 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0 4.228 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))) (* 0 (/ 0 (pow x.im 2))))) into 0 4.229 * [backup-simplify]: Simplify (+ 0 0) into 0 4.229 * [taylor]: Taking taylor expansion of 0 in x.im 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [taylor]: Taking taylor expansion of 0 in x.re 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) (+ (* (/ 1 (- y.im)) (/ 1 (- x.im))) (* (/ 1 (- y.re)) (/ 1 (- x.re))))) into (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 4.229 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in (y.re y.im x.im x.re) around 0 4.229 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 4.229 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.re 4.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.229 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.229 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.229 * [taylor]: Taking taylor expansion of y.im in x.re 4.229 * [backup-simplify]: Simplify y.im into y.im 4.229 * [taylor]: Taking taylor expansion of x.im in x.re 4.229 * [backup-simplify]: Simplify x.im into x.im 4.229 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.229 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.229 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.229 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.229 * [taylor]: Taking taylor expansion of y.re in x.re 4.230 * [backup-simplify]: Simplify y.re into y.re 4.230 * [taylor]: Taking taylor expansion of x.re in x.re 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (* y.re 0) into 0 4.230 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.230 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.230 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 4.230 * [backup-simplify]: Simplify (/ 1 (/ 1 y.re)) into y.re 4.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 4.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 4.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 4.230 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 4.230 * [taylor]: Taking taylor expansion of y.im in x.re 4.230 * [backup-simplify]: Simplify y.im into y.im 4.230 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.230 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 4.230 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 4.230 * [taylor]: Taking taylor expansion of y.re in x.re 4.230 * [backup-simplify]: Simplify y.re into y.re 4.230 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.230 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.231 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.231 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.231 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.231 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 4.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 4.232 * [backup-simplify]: Simplify (+ 0 0) into 0 4.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0 4.232 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 4.232 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.im 4.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.232 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.232 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.232 * [taylor]: Taking taylor expansion of y.im in x.im 4.232 * [backup-simplify]: Simplify y.im into y.im 4.232 * [taylor]: Taking taylor expansion of x.im in x.im 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (* y.im 0) into 0 4.232 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.232 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.232 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.232 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.232 * [taylor]: Taking taylor expansion of y.re in x.im 4.232 * [backup-simplify]: Simplify y.re into y.re 4.232 * [taylor]: Taking taylor expansion of x.re in x.im 4.232 * [backup-simplify]: Simplify x.re into x.re 4.232 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.233 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.233 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 4.233 * [backup-simplify]: Simplify (/ 1 (/ 1 y.im)) into y.im 4.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 4.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 4.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 4.233 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 4.233 * [taylor]: Taking taylor expansion of y.im in x.im 4.233 * [backup-simplify]: Simplify y.im into y.im 4.233 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.233 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 4.233 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 4.233 * [taylor]: Taking taylor expansion of y.re in x.im 4.233 * [backup-simplify]: Simplify y.re into y.re 4.233 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.233 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.233 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.233 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.233 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.234 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 4.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0 4.234 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 4.234 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.im 4.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.234 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.234 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.235 * [taylor]: Taking taylor expansion of y.im in y.im 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.235 * [taylor]: Taking taylor expansion of x.im in y.im 4.235 * [backup-simplify]: Simplify x.im into x.im 4.235 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.235 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.235 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.235 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.235 * [taylor]: Taking taylor expansion of y.re in y.im 4.235 * [backup-simplify]: Simplify y.re into y.re 4.235 * [taylor]: Taking taylor expansion of x.re in y.im 4.235 * [backup-simplify]: Simplify x.re into x.re 4.235 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.235 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.235 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 4.236 * [backup-simplify]: Simplify (/ 1 (/ 1 x.im)) into x.im 4.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 4.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.236 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.236 * [taylor]: Taking taylor expansion of y.im in y.im 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (* 1 1) into 1 4.237 * [backup-simplify]: Simplify (/ 1 1) into 1 4.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.237 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.237 * [taylor]: Taking taylor expansion of y.re in y.im 4.237 * [backup-simplify]: Simplify y.re into y.re 4.237 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.237 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.237 * [backup-simplify]: Simplify (+ 1 0) into 1 4.238 * [backup-simplify]: Simplify (sqrt 1) into 1 4.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.239 * [backup-simplify]: Simplify (+ 0 0) into 0 4.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.240 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 4.240 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 4.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.240 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.240 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.240 * [taylor]: Taking taylor expansion of y.im in y.re 4.241 * [backup-simplify]: Simplify y.im into y.im 4.241 * [taylor]: Taking taylor expansion of x.im in y.re 4.241 * [backup-simplify]: Simplify x.im into x.im 4.241 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.241 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.241 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.241 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.241 * [taylor]: Taking taylor expansion of y.re in y.re 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [taylor]: Taking taylor expansion of x.re in y.re 4.241 * [backup-simplify]: Simplify x.re into x.re 4.241 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.241 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.242 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.242 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 4.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.242 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.242 * [taylor]: Taking taylor expansion of y.im in y.re 4.242 * [backup-simplify]: Simplify y.im into y.im 4.242 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.242 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.242 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.242 * [taylor]: Taking taylor expansion of y.re in y.re 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify (* 1 1) into 1 4.243 * [backup-simplify]: Simplify (/ 1 1) into 1 4.244 * [backup-simplify]: Simplify (+ 0 1) into 1 4.244 * [backup-simplify]: Simplify (sqrt 1) into 1 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ 0 0) into 0 4.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.246 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 4.247 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 4.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.247 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.247 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.247 * [taylor]: Taking taylor expansion of y.im in y.re 4.247 * [backup-simplify]: Simplify y.im into y.im 4.247 * [taylor]: Taking taylor expansion of x.im in y.re 4.247 * [backup-simplify]: Simplify x.im into x.im 4.247 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.247 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.247 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.247 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.247 * [taylor]: Taking taylor expansion of y.re in y.re 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.247 * [taylor]: Taking taylor expansion of x.re in y.re 4.247 * [backup-simplify]: Simplify x.re into x.re 4.247 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.248 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.248 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.248 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.248 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 4.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 4.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.248 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.248 * [taylor]: Taking taylor expansion of y.im in y.re 4.248 * [backup-simplify]: Simplify y.im into y.im 4.248 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.248 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.248 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.248 * [taylor]: Taking taylor expansion of y.re in y.re 4.248 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (* 1 1) into 1 4.249 * [backup-simplify]: Simplify (/ 1 1) into 1 4.250 * [backup-simplify]: Simplify (+ 0 1) into 1 4.250 * [backup-simplify]: Simplify (sqrt 1) into 1 4.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.253 * [backup-simplify]: Simplify (* x.re 1) into x.re 4.253 * [taylor]: Taking taylor expansion of x.re in y.im 4.253 * [backup-simplify]: Simplify x.re into x.re 4.253 * [taylor]: Taking taylor expansion of x.re in x.im 4.253 * [backup-simplify]: Simplify x.re into x.re 4.253 * [taylor]: Taking taylor expansion of 0 in x.re 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.254 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 4.255 * [backup-simplify]: Simplify (- (+ (* x.re (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (- (/ (pow x.re 2) (* y.im x.im))) 4.255 * [backup-simplify]: Simplify (+ (* x.re 0) (* (- (/ (pow x.re 2) (* y.im x.im))) 1)) into (- (/ (pow x.re 2) (* y.im x.im))) 4.255 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) (* y.im x.im))) in y.im 4.255 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* y.im x.im)) in y.im 4.255 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im 4.255 * [taylor]: Taking taylor expansion of x.re in y.im 4.255 * [backup-simplify]: Simplify x.re into x.re 4.255 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.255 * [taylor]: Taking taylor expansion of y.im in y.im 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [taylor]: Taking taylor expansion of x.im in y.im 4.255 * [backup-simplify]: Simplify x.im into x.im 4.255 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.255 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.256 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.256 * [backup-simplify]: Simplify (/ (pow x.re 2) x.im) into (/ (pow x.re 2) x.im) 4.256 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.257 * [backup-simplify]: Simplify (- (/ 0 x.im) (+ (* (/ (pow x.re 2) x.im) (/ 0 x.im)))) into 0 4.258 * [backup-simplify]: Simplify (- 0) into 0 4.258 * [taylor]: Taking taylor expansion of 0 in x.im 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [taylor]: Taking taylor expansion of 0 in x.re 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [taylor]: Taking taylor expansion of 0 in x.im 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [taylor]: Taking taylor expansion of 0 in x.re 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [taylor]: Taking taylor expansion of 0 in x.re 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.262 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 4.262 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.265 * [backup-simplify]: Simplify (- (+ (* x.re (/ 0 (/ 1 x.re))) (* (- (/ (pow x.re 2) (* y.im x.im))) (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) 4.266 * [backup-simplify]: Simplify (+ (* x.re (/ 1/2 (pow y.im 2))) (+ (* (- (/ (pow x.re 2) (* y.im x.im))) 0) (* (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) 1))) into (+ (* 1/2 (/ x.re (pow y.im 2))) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) 4.266 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x.re (pow y.im 2))) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) in y.im 4.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.im 2))) in y.im 4.266 * [taylor]: Taking taylor expansion of 1/2 in y.im 4.266 * [backup-simplify]: Simplify 1/2 into 1/2 4.266 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im 4.266 * [taylor]: Taking taylor expansion of x.re in y.im 4.266 * [backup-simplify]: Simplify x.re into x.re 4.266 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.266 * [taylor]: Taking taylor expansion of y.im in y.im 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (* 1 1) into 1 4.267 * [backup-simplify]: Simplify (/ x.re 1) into x.re 4.267 * [taylor]: Taking taylor expansion of (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) in y.im 4.267 * [taylor]: Taking taylor expansion of (pow x.re 3) in y.im 4.267 * [taylor]: Taking taylor expansion of x.re in y.im 4.267 * [backup-simplify]: Simplify x.re into x.re 4.267 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 2)) in y.im 4.267 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.267 * [taylor]: Taking taylor expansion of y.im in y.im 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im 4.267 * [taylor]: Taking taylor expansion of x.im in y.im 4.267 * [backup-simplify]: Simplify x.im into x.im 4.267 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.267 * [backup-simplify]: Simplify (* x.re (pow x.re 2)) into (pow x.re 3) 4.268 * [backup-simplify]: Simplify (* 1 1) into 1 4.268 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 4.268 * [backup-simplify]: Simplify (* 1 (pow x.im 2)) into (pow x.im 2) 4.268 * [backup-simplify]: Simplify (/ (pow x.re 3) (pow x.im 2)) into (/ (pow x.re 3) (pow x.im 2)) 4.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x.re))) into 0 4.273 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 x.re))) into 0 4.273 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.274 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 (pow x.re 2)))) into 0 4.274 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.275 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 4.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0 4.277 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 (pow x.re 2))) into 0 4.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 2))) into 0 4.278 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0 4.279 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))) (* 0 (/ 0 (pow x.im 2))))) into 0 4.279 * [backup-simplify]: Simplify (+ 0 0) into 0 4.279 * [taylor]: Taking taylor expansion of 0 in x.im 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [taylor]: Taking taylor expansion of 0 in x.re 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 4.280 * [backup-simplify]: Simplify (+ (* y.im x.im) (* y.re x.re)) into (+ (* y.re x.re) (* y.im x.im)) 4.280 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (y.im x.im y.re x.re) around 0 4.280 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 4.280 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.280 * [taylor]: Taking taylor expansion of y.re in x.re 4.280 * [backup-simplify]: Simplify y.re into y.re 4.280 * [taylor]: Taking taylor expansion of x.re in x.re 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.280 * [taylor]: Taking taylor expansion of y.im in x.re 4.280 * [backup-simplify]: Simplify y.im into y.im 4.280 * [taylor]: Taking taylor expansion of x.im in x.re 4.280 * [backup-simplify]: Simplify x.im into x.im 4.280 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 4.280 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.280 * [taylor]: Taking taylor expansion of y.re in y.re 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [taylor]: Taking taylor expansion of x.re in y.re 4.280 * [backup-simplify]: Simplify x.re into x.re 4.280 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.280 * [taylor]: Taking taylor expansion of y.im in y.re 4.280 * [backup-simplify]: Simplify y.im into y.im 4.280 * [taylor]: Taking taylor expansion of x.im in y.re 4.280 * [backup-simplify]: Simplify x.im into x.im 4.280 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 4.280 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.280 * [taylor]: Taking taylor expansion of y.re in x.im 4.280 * [backup-simplify]: Simplify y.re into y.re 4.280 * [taylor]: Taking taylor expansion of x.re in x.im 4.280 * [backup-simplify]: Simplify x.re into x.re 4.280 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.280 * [taylor]: Taking taylor expansion of y.im in x.im 4.280 * [backup-simplify]: Simplify y.im into y.im 4.281 * [taylor]: Taking taylor expansion of x.im in x.im 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 4.281 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.281 * [taylor]: Taking taylor expansion of y.re in y.im 4.281 * [backup-simplify]: Simplify y.re into y.re 4.281 * [taylor]: Taking taylor expansion of x.re in y.im 4.281 * [backup-simplify]: Simplify x.re into x.re 4.281 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.281 * [taylor]: Taking taylor expansion of y.im in y.im 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [taylor]: Taking taylor expansion of x.im in y.im 4.281 * [backup-simplify]: Simplify x.im into x.im 4.281 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 4.281 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.281 * [taylor]: Taking taylor expansion of y.re in y.im 4.281 * [backup-simplify]: Simplify y.re into y.re 4.281 * [taylor]: Taking taylor expansion of x.re in y.im 4.281 * [backup-simplify]: Simplify x.re into x.re 4.281 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.281 * [taylor]: Taking taylor expansion of y.im in y.im 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [taylor]: Taking taylor expansion of x.im in y.im 4.281 * [backup-simplify]: Simplify x.im into x.im 4.281 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.281 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.281 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 4.281 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.281 * [taylor]: Taking taylor expansion of y.re in x.im 4.281 * [backup-simplify]: Simplify y.re into y.re 4.281 * [taylor]: Taking taylor expansion of x.re in x.im 4.281 * [backup-simplify]: Simplify x.re into x.re 4.282 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.282 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.282 * [taylor]: Taking taylor expansion of y.re in y.re 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [taylor]: Taking taylor expansion of x.re in y.re 4.282 * [backup-simplify]: Simplify x.re into x.re 4.282 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.282 * [taylor]: Taking taylor expansion of 0 in x.re 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0 4.282 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.282 * [backup-simplify]: Simplify (+ 0 x.im) into x.im 4.282 * [taylor]: Taking taylor expansion of x.im in x.im 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [taylor]: Taking taylor expansion of 0 in y.re 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [taylor]: Taking taylor expansion of 0 in x.re 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0 4.283 * [taylor]: Taking taylor expansion of 0 in y.re 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [taylor]: Taking taylor expansion of 0 in x.re 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.283 * [taylor]: Taking taylor expansion of x.re in x.re 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 1 into 1 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0 4.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.285 * [backup-simplify]: Simplify (+ 0 0) into 0 4.285 * [taylor]: Taking taylor expansion of 0 in x.im 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [taylor]: Taking taylor expansion of 0 in y.re 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [taylor]: Taking taylor expansion of 0 in x.re 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) (/ 1 x.im)) (* (/ 1 y.re) (/ 1 x.re))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 4.286 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (y.im x.im y.re x.re) around 0 4.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.286 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.286 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.286 * [taylor]: Taking taylor expansion of y.im in x.re 4.286 * [backup-simplify]: Simplify y.im into y.im 4.286 * [taylor]: Taking taylor expansion of x.im in x.re 4.286 * [backup-simplify]: Simplify x.im into x.im 4.286 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.286 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.286 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.286 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.286 * [taylor]: Taking taylor expansion of y.re in x.re 4.286 * [backup-simplify]: Simplify y.re into y.re 4.286 * [taylor]: Taking taylor expansion of x.re in x.re 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify (* y.re 0) into 0 4.287 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.287 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.288 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.288 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.288 * [taylor]: Taking taylor expansion of y.im in y.re 4.288 * [backup-simplify]: Simplify y.im into y.im 4.288 * [taylor]: Taking taylor expansion of x.im in y.re 4.288 * [backup-simplify]: Simplify x.im into x.im 4.288 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.288 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.288 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.288 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.288 * [taylor]: Taking taylor expansion of y.re in y.re 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [taylor]: Taking taylor expansion of x.re in y.re 4.288 * [backup-simplify]: Simplify x.re into x.re 4.289 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.289 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.289 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.289 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.289 * [taylor]: Taking taylor expansion of y.im in x.im 4.289 * [backup-simplify]: Simplify y.im into y.im 4.289 * [taylor]: Taking taylor expansion of x.im in x.im 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (* y.im 0) into 0 4.290 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.290 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.290 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.290 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.290 * [taylor]: Taking taylor expansion of y.re in x.im 4.290 * [backup-simplify]: Simplify y.re into y.re 4.290 * [taylor]: Taking taylor expansion of x.re in x.im 4.290 * [backup-simplify]: Simplify x.re into x.re 4.290 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.290 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.290 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.290 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.290 * [taylor]: Taking taylor expansion of y.im in y.im 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [taylor]: Taking taylor expansion of x.im in y.im 4.290 * [backup-simplify]: Simplify x.im into x.im 4.290 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.291 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.291 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.291 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.291 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.291 * [taylor]: Taking taylor expansion of y.re in y.im 4.291 * [backup-simplify]: Simplify y.re into y.re 4.291 * [taylor]: Taking taylor expansion of x.re in y.im 4.291 * [backup-simplify]: Simplify x.re into x.re 4.291 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.291 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.291 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.291 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.291 * [taylor]: Taking taylor expansion of y.im in y.im 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [taylor]: Taking taylor expansion of x.im in y.im 4.291 * [backup-simplify]: Simplify x.im into x.im 4.291 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.292 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.292 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.292 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.292 * [taylor]: Taking taylor expansion of y.re in y.im 4.292 * [backup-simplify]: Simplify y.re into y.re 4.292 * [taylor]: Taking taylor expansion of x.re in y.im 4.292 * [backup-simplify]: Simplify x.re into x.re 4.292 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.292 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.292 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 4.292 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.292 * [taylor]: Taking taylor expansion of x.im in x.im 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (/ 1 1) into 1 4.293 * [taylor]: Taking taylor expansion of 1 in y.re 4.293 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.294 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re)) 4.294 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.294 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.294 * [taylor]: Taking taylor expansion of y.re in x.im 4.294 * [backup-simplify]: Simplify y.re into y.re 4.294 * [taylor]: Taking taylor expansion of x.re in x.im 4.294 * [backup-simplify]: Simplify x.re into x.re 4.294 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.294 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.295 * [taylor]: Taking taylor expansion of 0 in y.re 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [taylor]: Taking taylor expansion of 1 in x.re 4.295 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.297 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0 4.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0 4.297 * [backup-simplify]: Simplify (+ 0 0) into 0 4.297 * [taylor]: Taking taylor expansion of 0 in x.im 4.297 * [backup-simplify]: Simplify 0 into 0 4.298 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.298 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.298 * [taylor]: Taking taylor expansion of y.re in y.re 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 1 into 1 4.298 * [taylor]: Taking taylor expansion of x.re in y.re 4.298 * [backup-simplify]: Simplify x.re into x.re 4.298 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.298 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.298 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.298 * [taylor]: Taking taylor expansion of x.re in x.re 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (/ 1 1) into 1 4.299 * [backup-simplify]: Simplify 1 into 1 4.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.300 * [taylor]: Taking taylor expansion of 0 in y.re 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [taylor]: Taking taylor expansion of 0 in x.re 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [taylor]: Taking taylor expansion of 0 in x.re 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify 1 into 1 4.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0 4.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.302 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0 4.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.303 * [taylor]: Taking taylor expansion of 0 in x.im 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [taylor]: Taking taylor expansion of 0 in y.re 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0 4.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0 4.304 * [taylor]: Taking taylor expansion of 0 in y.re 4.304 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.305 * [taylor]: Taking taylor expansion of 0 in y.re 4.305 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.306 * [taylor]: Taking taylor expansion of 0 in x.re 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [taylor]: Taking taylor expansion of 0 in x.re 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [taylor]: Taking taylor expansion of 0 in x.re 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [taylor]: Taking taylor expansion of 0 in x.re 4.306 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.310 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0 4.311 * [backup-simplify]: Simplify (+ 0 0) into 0 4.311 * [taylor]: Taking taylor expansion of 0 in x.im 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [taylor]: Taking taylor expansion of 0 in y.re 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [taylor]: Taking taylor expansion of 0 in y.re 4.311 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0 4.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0 4.312 * [taylor]: Taking taylor expansion of 0 in y.re 4.312 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.313 * [taylor]: Taking taylor expansion of 0 in y.re 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [taylor]: Taking taylor expansion of 0 in x.re 4.313 * [backup-simplify]: Simplify 0 into 0 4.314 * [taylor]: Taking taylor expansion of 0 in x.re 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [taylor]: Taking taylor expansion of 0 in x.re 4.314 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.315 * [taylor]: Taking taylor expansion of 0 in x.re 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [taylor]: Taking taylor expansion of 0 in x.re 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [taylor]: Taking taylor expansion of 0 in x.re 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [taylor]: Taking taylor expansion of 0 in x.re 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 x.im)) (/ 1 (/ 1 y.im)))))) (* 1 (* (/ 1 (/ 1 x.re)) (* (/ 1 (/ 1 y.re)) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 4.317 * [backup-simplify]: Simplify (+ (* (/ 1 (- y.im)) (/ 1 (- x.im))) (* (/ 1 (- y.re)) (/ 1 (- x.re)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 4.317 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (y.im x.im y.re x.re) around 0 4.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.317 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.317 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.317 * [taylor]: Taking taylor expansion of y.im in x.re 4.317 * [backup-simplify]: Simplify y.im into y.im 4.317 * [taylor]: Taking taylor expansion of x.im in x.re 4.317 * [backup-simplify]: Simplify x.im into x.im 4.317 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.317 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.317 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.317 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.317 * [taylor]: Taking taylor expansion of y.re in x.re 4.317 * [backup-simplify]: Simplify y.re into y.re 4.317 * [taylor]: Taking taylor expansion of x.re in x.re 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (* y.re 0) into 0 4.318 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.318 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.318 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.318 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.318 * [taylor]: Taking taylor expansion of y.im in y.re 4.318 * [backup-simplify]: Simplify y.im into y.im 4.318 * [taylor]: Taking taylor expansion of x.im in y.re 4.318 * [backup-simplify]: Simplify x.im into x.im 4.318 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.319 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.319 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.319 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.319 * [taylor]: Taking taylor expansion of y.re in y.re 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [taylor]: Taking taylor expansion of x.re in y.re 4.319 * [backup-simplify]: Simplify x.re into x.re 4.319 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.319 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.319 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.319 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.319 * [taylor]: Taking taylor expansion of y.im in x.im 4.319 * [backup-simplify]: Simplify y.im into y.im 4.319 * [taylor]: Taking taylor expansion of x.im in x.im 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.320 * [backup-simplify]: Simplify (* y.im 0) into 0 4.320 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.320 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.320 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.320 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.320 * [taylor]: Taking taylor expansion of y.re in x.im 4.320 * [backup-simplify]: Simplify y.re into y.re 4.320 * [taylor]: Taking taylor expansion of x.re in x.im 4.320 * [backup-simplify]: Simplify x.re into x.re 4.320 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.320 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.320 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.321 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.321 * [taylor]: Taking taylor expansion of y.im in y.im 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [taylor]: Taking taylor expansion of x.im in y.im 4.321 * [backup-simplify]: Simplify x.im into x.im 4.321 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.321 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.321 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.321 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.321 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.321 * [taylor]: Taking taylor expansion of y.re in y.im 4.321 * [backup-simplify]: Simplify y.re into y.re 4.321 * [taylor]: Taking taylor expansion of x.re in y.im 4.321 * [backup-simplify]: Simplify x.re into x.re 4.321 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.322 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.322 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.322 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.322 * [taylor]: Taking taylor expansion of y.im in y.im 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.322 * [taylor]: Taking taylor expansion of x.im in y.im 4.322 * [backup-simplify]: Simplify x.im into x.im 4.322 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.322 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.322 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.322 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.322 * [taylor]: Taking taylor expansion of y.re in y.im 4.322 * [backup-simplify]: Simplify y.re into y.re 4.322 * [taylor]: Taking taylor expansion of x.re in y.im 4.322 * [backup-simplify]: Simplify x.re into x.re 4.323 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.323 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.323 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 4.323 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.323 * [taylor]: Taking taylor expansion of x.im in x.im 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (/ 1 1) into 1 4.323 * [taylor]: Taking taylor expansion of 1 in y.re 4.323 * [backup-simplify]: Simplify 1 into 1 4.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.324 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re)) 4.324 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.325 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.325 * [taylor]: Taking taylor expansion of y.re in x.im 4.325 * [backup-simplify]: Simplify y.re into y.re 4.325 * [taylor]: Taking taylor expansion of x.re in x.im 4.325 * [backup-simplify]: Simplify x.re into x.re 4.325 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.325 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.326 * [taylor]: Taking taylor expansion of 0 in y.re 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [taylor]: Taking taylor expansion of 1 in x.re 4.326 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.327 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0 4.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0 4.328 * [backup-simplify]: Simplify (+ 0 0) into 0 4.328 * [taylor]: Taking taylor expansion of 0 in x.im 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.328 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.328 * [taylor]: Taking taylor expansion of y.re in y.re 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [taylor]: Taking taylor expansion of x.re in y.re 4.328 * [backup-simplify]: Simplify x.re into x.re 4.328 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.329 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.329 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.329 * [taylor]: Taking taylor expansion of x.re in x.re 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 1 into 1 4.329 * [backup-simplify]: Simplify (/ 1 1) into 1 4.329 * [backup-simplify]: Simplify 1 into 1 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.330 * [taylor]: Taking taylor expansion of 0 in y.re 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [taylor]: Taking taylor expansion of 0 in x.re 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [taylor]: Taking taylor expansion of 0 in x.re 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0 4.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.333 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0 4.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0 4.333 * [backup-simplify]: Simplify (+ 0 0) into 0 4.333 * [taylor]: Taking taylor expansion of 0 in x.im 4.333 * [backup-simplify]: Simplify 0 into 0 4.334 * [taylor]: Taking taylor expansion of 0 in y.re 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0 4.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0 4.334 * [taylor]: Taking taylor expansion of 0 in y.re 4.334 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.335 * [taylor]: Taking taylor expansion of 0 in y.re 4.335 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.336 * [taylor]: Taking taylor expansion of 0 in x.re 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [taylor]: Taking taylor expansion of 0 in x.re 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [taylor]: Taking taylor expansion of 0 in x.re 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [taylor]: Taking taylor expansion of 0 in x.re 4.336 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0 4.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.342 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0 4.343 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [taylor]: Taking taylor expansion of 0 in x.im 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [taylor]: Taking taylor expansion of 0 in y.re 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [taylor]: Taking taylor expansion of 0 in y.re 4.343 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0 4.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0 4.344 * [taylor]: Taking taylor expansion of 0 in y.re 4.344 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.345 * [taylor]: Taking taylor expansion of 0 in y.re 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [taylor]: Taking taylor expansion of 0 in x.re 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [taylor]: Taking taylor expansion of 0 in x.re 4.345 * [backup-simplify]: Simplify 0 into 0 4.346 * [taylor]: Taking taylor expansion of 0 in x.re 4.346 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.347 * [taylor]: Taking taylor expansion of 0 in x.re 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [taylor]: Taking taylor expansion of 0 in x.re 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [taylor]: Taking taylor expansion of 0 in x.re 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [taylor]: Taking taylor expansion of 0 in x.re 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- x.im))) (/ 1 (/ 1 (- y.im))))))) (* 1 (* (/ 1 (/ 1 (- x.re))) (* (/ 1 (/ 1 (- y.re))) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 4.349 * * * [progress]: simplifying candidates 4.352 * [simplify]: Simplifying: (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))) (/ 1 2) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))) (/ 1 2) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (- (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (+ (* y.im x.im) (* y.re x.re)))) (log (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (exp (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (/ (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (+ (* y.im x.im) (* y.re x.re)) (+ (* y.im x.im) (* y.re x.re))) (+ (* y.im x.im) (* y.re x.re)))) (* (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re))))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (* (* (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (- (sqrt (+ (* y.re y.re) (* y.im y.im)))) (- (+ (* y.im x.im) (* y.re x.re))) (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* y.re x.re))) (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) 1) (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* y.re x.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* y.re x.re))) (/ (sqrt 1) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt 1) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt 1) 1) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* y.re x.re))) (/ 1 (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ 1 (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ 1 1) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re))) (/ 1 (+ (* y.im x.im) (* y.re x.re))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) 1) (/ (+ (* y.im x.im) (* y.re x.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (pow (* y.im x.im) 3) (pow (* y.re x.re) 3))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* (* y.im x.im) (* y.im x.im)) (* (* y.re x.re) (* y.re x.re)))) (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))) (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (- (* y.re y.re) (* y.im y.im)))) (* (exp (* y.im x.im)) (exp (* y.re x.re))) (log (+ (* y.im x.im) (* y.re x.re))) (exp (+ (* y.im x.im) (* y.re x.re))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (cbrt (+ (* y.im x.im) (* y.re x.re))) (* (* (+ (* y.im x.im) (* y.re x.re)) (+ (* y.im x.im) (* y.re x.re))) (+ (* y.im x.im) (* y.re x.re))) (sqrt (+ (* y.im x.im) (* y.re x.re))) (sqrt (+ (* y.im x.im) (* y.re x.re))) (+ (pow (* y.im x.im) 3) (pow (* y.re x.re) 3)) (+ (* (* y.im x.im) (* y.im x.im)) (- (* (* y.re x.re) (* y.re x.re)) (* (* y.im x.im) (* y.re x.re)))) (- (* (* y.im x.im) (* y.im x.im)) (* (* y.re x.re) (* y.re x.re))) (- (* y.im x.im) (* y.re x.re)) y.im y.re (* -1 y.re) y.im y.re (* -1 y.re) 0 0 0 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 4.356 * * [simplify]: Extracting # 0 : cost 0 4.357 * * [simplify]: Extracting # 1 : cost 0 4.357 * * [simplify]: Extracting # 2 : cost 0 4.357 * * [simplify]: Extracting # 3 : cost 0 4.357 * * [simplify]: Extracting # 4 : cost 0 4.358 * * [simplify]: Extracting # 5 : cost 0 4.358 * * [simplify]: Extracting # 6 : cost 0 4.358 * * [simplify]: iteration 0 : 113 enodes (cost 1774 ) 4.410 * * [simplify]: Extracting # 0 : cost 0 4.411 * * [simplify]: Extracting # 1 : cost 0 4.412 * * [simplify]: Extracting # 2 : cost 0 4.412 * * [simplify]: Extracting # 3 : cost 0 4.413 * * [simplify]: Extracting # 4 : cost 0 4.414 * * [simplify]: iteration 1 : 268 enodes (cost 1656 ) 4.549 * * [simplify]: Extracting # 0 : cost 0 4.551 * * [simplify]: Extracting # 1 : cost 0 4.553 * * [simplify]: Extracting # 2 : cost 0 4.554 * * [simplify]: Extracting # 3 : cost 0 4.556 * * [simplify]: Extracting # 4 : cost 0 4.558 * * [simplify]: iteration 2 : 839 enodes (cost 1556 ) 4.924 * * [simplify]: Extracting # 0 : cost 0 4.928 * * [simplify]: Extracting # 1 : cost 0 4.931 * * [simplify]: Extracting # 2 : cost 0 4.933 * * [simplify]: Extracting # 3 : cost 0 4.936 * * [simplify]: Extracting # 4 : cost 0 4.939 * * [simplify]: iteration 3 : 2843 enodes (cost 1540 ) 5.989 * * [simplify]: Extracting # 0 : cost 0 6.004 * * [simplify]: Extracting # 1 : cost 0 6.013 * * [simplify]: Extracting # 2 : cost 0 6.023 * * [simplify]: Extracting # 3 : cost 0 6.038 * * [simplify]: Extracting # 4 : cost 0 6.048 * * [simplify]: iteration done: 5001 enodes (cost 1540 ) 6.049 * [simplify]: Simplified to: (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow y.im 6) (pow y.re 6))) (sqrt (- (pow y.im 4) (* (* y.re y.re) (- (* y.im y.im) (* y.re y.re))))) (sqrt (- (pow y.re 4) (pow y.im 4))) (sqrt (- (* y.re y.re) (* y.im y.im))) 1/2 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3) (fabs (cbrt (+ (* y.re 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y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (pow (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im))) 3) (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* y.re x.re)))) (- (sqrt (+ (* y.re y.re) (* y.im y.im)))) (- (+ (* y.im x.im) (* y.re x.re))) (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* y.re x.re))) (/ (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* y.re x.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* y.re x.re))) (/ 1 (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ 1 (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* y.re x.re))) (/ 1 (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* y.re x.re)))) (/ 1 (sqrt (+ (* y.im x.im) (* y.re x.re)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im))) (/ 1 (+ (* y.im x.im) (* y.re x.re))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (* (cbrt (+ (* y.im x.im) (* y.re x.re))) (cbrt (+ (* y.im x.im) (* y.re x.re))))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* y.re x.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* y.im x.im) (* y.re x.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (pow (* y.im x.im) 3) (pow (* y.re x.re) 3))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* (* y.im x.im) (* y.im x.im)) (* (* y.re x.re) (* y.re x.re)))) (* (sqrt (- (pow y.im 4) (* (* y.re y.re) (- (* y.im y.im) (* y.re y.re))))) (+ (* y.re x.re) (* y.im x.im))) (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (- (* y.re y.re) (* y.im y.im)))) (exp (+ (* y.im x.im) (* y.re x.re))) (log (+ (* y.re x.re) (* y.im x.im))) (exp (+ (* y.im x.im) (* y.re x.re))) (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (cbrt (+ (* y.re x.re) (* y.im x.im))) (pow (+ (* y.re x.re) (* y.im x.im)) 3) (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re x.re) (* y.im x.im))) (+ (pow (* y.re x.re) 3) (pow (* y.im x.im) 3)) (+ (* (* y.im x.im) (* y.im x.im)) (* (* y.re x.re) (- (* y.re x.re) (* y.im x.im)))) (* (- (* y.im x.im) (* y.re x.re)) (+ (* y.re x.re) (* y.im x.im))) (- (* y.im x.im) (* y.re x.re)) y.im y.re (- y.re) y.im y.re (- y.re) 0 0 0 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 6.050 * * * [progress]: adding candidates to table 6.618 * * [progress]: iteration 4 / 4 6.619 * * * [progress]: picking best candidate 6.661 * * * * [pick]: Picked # 6.661 * * * [progress]: localizing error 6.708 * * * [progress]: generating rewritten candidates 6.708 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.726 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 6.742 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.822 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 6.842 * * * [progress]: generating series expansions 6.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.842 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 6.842 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 6.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 6.842 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 6.842 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.842 * [taylor]: Taking taylor expansion of y.im in y.im 6.842 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify 1 into 1 6.842 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 6.842 * [taylor]: Taking taylor expansion of y.re in y.im 6.842 * [backup-simplify]: Simplify y.re into y.re 6.842 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.843 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 6.843 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 6.843 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 6.844 * [backup-simplify]: Simplify (+ 0 0) into 0 6.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 6.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 6.844 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 6.844 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.844 * [taylor]: Taking taylor expansion of y.im in y.re 6.844 * [backup-simplify]: Simplify y.im into y.im 6.844 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.844 * [taylor]: Taking taylor expansion of y.re in y.re 6.844 * [backup-simplify]: Simplify 0 into 0 6.844 * [backup-simplify]: Simplify 1 into 1 6.844 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.844 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 6.844 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 6.844 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.845 * [backup-simplify]: Simplify (+ 0 0) into 0 6.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 6.845 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 6.845 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 6.845 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.845 * [taylor]: Taking taylor expansion of y.im in y.re 6.845 * [backup-simplify]: Simplify y.im into y.im 6.845 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.845 * [taylor]: Taking taylor expansion of y.re in y.re 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.845 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.846 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 6.846 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 6.846 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.846 * [backup-simplify]: Simplify (+ 0 0) into 0 6.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 6.847 * [taylor]: Taking taylor expansion of y.im in y.im 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [taylor]: Taking taylor expansion of 0 in y.im 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 6.848 * [backup-simplify]: Simplify (* 1 1) into 1 6.848 * [backup-simplify]: Simplify (+ 0 1) into 1 6.849 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 6.849 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 6.849 * [taylor]: Taking taylor expansion of 1/2 in y.im 6.849 * [backup-simplify]: Simplify 1/2 into 1/2 6.849 * [taylor]: Taking taylor expansion of y.im in y.im 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 1 into 1 6.850 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.850 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 6.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.852 * [backup-simplify]: Simplify (+ 0 0) into 0 6.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 6.853 * [taylor]: Taking taylor expansion of 0 in y.im 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 6.854 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 6.854 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 6.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 6.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 6.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 6.854 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.854 * [taylor]: Taking taylor expansion of y.im in y.im 6.855 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify 1 into 1 6.855 * [backup-simplify]: Simplify (* 1 1) into 1 6.855 * [backup-simplify]: Simplify (/ 1 1) into 1 6.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 6.856 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 6.856 * [taylor]: Taking taylor expansion of y.re in y.im 6.856 * [backup-simplify]: Simplify y.re into y.re 6.856 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.856 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 6.857 * [backup-simplify]: Simplify (+ 1 0) into 1 6.861 * [backup-simplify]: Simplify (sqrt 1) into 1 6.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.862 * [backup-simplify]: Simplify (+ 0 0) into 0 6.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 6.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 6.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 6.862 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.862 * [taylor]: Taking taylor expansion of y.im in y.re 6.863 * [backup-simplify]: Simplify y.im into y.im 6.863 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.863 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 6.863 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.863 * [taylor]: Taking taylor expansion of y.re in y.re 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 1 into 1 6.863 * [backup-simplify]: Simplify (* 1 1) into 1 6.863 * [backup-simplify]: Simplify (/ 1 1) into 1 6.864 * [backup-simplify]: Simplify (+ 0 1) into 1 6.864 * [backup-simplify]: Simplify (sqrt 1) into 1 6.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.865 * [backup-simplify]: Simplify (+ 0 0) into 0 6.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 6.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 6.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 6.865 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.865 * [taylor]: Taking taylor expansion of y.im in y.re 6.865 * [backup-simplify]: Simplify y.im into y.im 6.866 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.866 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 6.866 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.866 * [taylor]: Taking taylor expansion of y.re in y.re 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (* 1 1) into 1 6.866 * [backup-simplify]: Simplify (/ 1 1) into 1 6.866 * [backup-simplify]: Simplify (+ 0 1) into 1 6.867 * [backup-simplify]: Simplify (sqrt 1) into 1 6.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.868 * [backup-simplify]: Simplify (+ 0 0) into 0 6.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.868 * [taylor]: Taking taylor expansion of 1 in y.im 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [taylor]: Taking taylor expansion of 0 in y.im 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 6.870 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 6.871 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 6.871 * [taylor]: Taking taylor expansion of 1/2 in y.im 6.871 * [backup-simplify]: Simplify 1/2 into 1/2 6.871 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.871 * [taylor]: Taking taylor expansion of y.im in y.im 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [backup-simplify]: Simplify (* 1 1) into 1 6.871 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 6.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.874 * [backup-simplify]: Simplify (+ 0 0) into 0 6.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 6.874 * [taylor]: Taking taylor expansion of 0 in y.im 6.874 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 6.876 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 6.876 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 6.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 6.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 6.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 6.876 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.876 * [taylor]: Taking taylor expansion of y.im in y.im 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify 1 into 1 6.876 * [backup-simplify]: Simplify (* 1 1) into 1 6.876 * [backup-simplify]: Simplify (/ 1 1) into 1 6.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 6.877 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 6.877 * [taylor]: Taking taylor expansion of y.re in y.im 6.877 * [backup-simplify]: Simplify y.re into y.re 6.877 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.877 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 6.877 * [backup-simplify]: Simplify (+ 1 0) into 1 6.877 * [backup-simplify]: Simplify (sqrt 1) into 1 6.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.878 * [backup-simplify]: Simplify (+ 0 0) into 0 6.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 6.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 6.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 6.879 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.879 * [taylor]: Taking taylor expansion of y.im in y.re 6.879 * [backup-simplify]: Simplify y.im into y.im 6.879 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.879 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 6.879 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.879 * [taylor]: Taking taylor expansion of y.re in y.re 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify 1 into 1 6.879 * [backup-simplify]: Simplify (* 1 1) into 1 6.880 * [backup-simplify]: Simplify (/ 1 1) into 1 6.880 * [backup-simplify]: Simplify (+ 0 1) into 1 6.880 * [backup-simplify]: Simplify (sqrt 1) into 1 6.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (+ 0 0) into 0 6.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 6.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 6.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 6.882 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.882 * [taylor]: Taking taylor expansion of y.im in y.re 6.882 * [backup-simplify]: Simplify y.im into y.im 6.882 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.882 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 6.882 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.882 * [taylor]: Taking taylor expansion of y.re in y.re 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 1 into 1 6.882 * [backup-simplify]: Simplify (* 1 1) into 1 6.883 * [backup-simplify]: Simplify (/ 1 1) into 1 6.883 * [backup-simplify]: Simplify (+ 0 1) into 1 6.883 * [backup-simplify]: Simplify (sqrt 1) into 1 6.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.885 * [backup-simplify]: Simplify (+ 0 0) into 0 6.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.885 * [taylor]: Taking taylor expansion of 1 in y.im 6.885 * [backup-simplify]: Simplify 1 into 1 6.885 * [taylor]: Taking taylor expansion of 0 in y.im 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 6.888 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 6.888 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 6.888 * [taylor]: Taking taylor expansion of 1/2 in y.im 6.888 * [backup-simplify]: Simplify 1/2 into 1/2 6.888 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.888 * [taylor]: Taking taylor expansion of y.im in y.im 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.888 * [backup-simplify]: Simplify (* 1 1) into 1 6.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 6.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (+ 0 0) into 0 6.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 6.891 * [taylor]: Taking taylor expansion of 0 in y.im 6.891 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 6.893 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 6.893 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 6.893 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 6.893 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 6.893 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 6.893 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.893 * [taylor]: Taking taylor expansion of y.im in y.im 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify 1 into 1 6.893 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 6.893 * [taylor]: Taking taylor expansion of y.re in y.im 6.893 * [backup-simplify]: Simplify y.re into y.re 6.893 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.893 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 6.893 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 6.893 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 6.894 * [backup-simplify]: Simplify (+ 0 0) into 0 6.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 6.894 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 6.894 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 6.894 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.894 * [taylor]: Taking taylor expansion of y.im in y.re 6.894 * [backup-simplify]: Simplify y.im into y.im 6.894 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.894 * [taylor]: Taking taylor expansion of y.re in y.re 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify 1 into 1 6.894 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.894 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 6.894 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 6.894 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.894 * [backup-simplify]: Simplify (+ 0 0) into 0 6.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 6.895 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 6.895 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 6.895 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.895 * [taylor]: Taking taylor expansion of y.im in y.re 6.895 * [backup-simplify]: Simplify y.im into y.im 6.895 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.895 * [taylor]: Taking taylor expansion of y.re in y.re 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.895 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 6.895 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 6.895 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.895 * [backup-simplify]: Simplify (+ 0 0) into 0 6.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 6.895 * [taylor]: Taking taylor expansion of y.im in y.im 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [taylor]: Taking taylor expansion of 0 in y.im 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 6.896 * [backup-simplify]: Simplify (* 1 1) into 1 6.896 * [backup-simplify]: Simplify (+ 0 1) into 1 6.897 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 6.897 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 6.897 * [taylor]: Taking taylor expansion of 1/2 in y.im 6.897 * [backup-simplify]: Simplify 1/2 into 1/2 6.897 * [taylor]: Taking taylor expansion of y.im in y.im 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 6.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.899 * [backup-simplify]: Simplify (+ 0 0) into 0 6.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 6.899 * [taylor]: Taking taylor expansion of 0 in y.im 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 6.900 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 6.900 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 6.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 6.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 6.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 6.900 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.900 * [taylor]: Taking taylor expansion of y.im in y.im 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify 1 into 1 6.900 * [backup-simplify]: Simplify (* 1 1) into 1 6.901 * [backup-simplify]: Simplify (/ 1 1) into 1 6.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 6.901 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 6.901 * [taylor]: Taking taylor expansion of y.re in y.im 6.901 * [backup-simplify]: Simplify y.re into y.re 6.901 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.901 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 6.901 * [backup-simplify]: Simplify (+ 1 0) into 1 6.901 * [backup-simplify]: Simplify (sqrt 1) into 1 6.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.902 * [backup-simplify]: Simplify (+ 0 0) into 0 6.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 6.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 6.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 6.903 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.903 * [taylor]: Taking taylor expansion of y.im in y.re 6.903 * [backup-simplify]: Simplify y.im into y.im 6.903 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.903 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 6.903 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.903 * [taylor]: Taking taylor expansion of y.re in y.re 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (* 1 1) into 1 6.904 * [backup-simplify]: Simplify (/ 1 1) into 1 6.904 * [backup-simplify]: Simplify (+ 0 1) into 1 6.904 * [backup-simplify]: Simplify (sqrt 1) into 1 6.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (+ 0 0) into 0 6.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 6.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 6.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 6.906 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.906 * [taylor]: Taking taylor expansion of y.im in y.re 6.906 * [backup-simplify]: Simplify y.im into y.im 6.906 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.906 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 6.906 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.906 * [taylor]: Taking taylor expansion of y.re in y.re 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 1 into 1 6.907 * [backup-simplify]: Simplify (* 1 1) into 1 6.907 * [backup-simplify]: Simplify (/ 1 1) into 1 6.907 * [backup-simplify]: Simplify (+ 0 1) into 1 6.907 * [backup-simplify]: Simplify (sqrt 1) into 1 6.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.908 * [backup-simplify]: Simplify (+ 0 0) into 0 6.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.909 * [taylor]: Taking taylor expansion of 1 in y.im 6.909 * [backup-simplify]: Simplify 1 into 1 6.909 * [taylor]: Taking taylor expansion of 0 in y.im 6.909 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify 1 into 1 6.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.911 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 6.911 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 6.911 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 6.912 * [taylor]: Taking taylor expansion of 1/2 in y.im 6.912 * [backup-simplify]: Simplify 1/2 into 1/2 6.912 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.912 * [taylor]: Taking taylor expansion of y.im in y.im 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 1 into 1 6.912 * [backup-simplify]: Simplify (* 1 1) into 1 6.912 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 6.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.915 * [backup-simplify]: Simplify (+ 0 0) into 0 6.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 6.915 * [taylor]: Taking taylor expansion of 0 in y.im 6.915 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 6.917 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 6.917 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 6.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 6.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 6.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 6.917 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.917 * [taylor]: Taking taylor expansion of y.im in y.im 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [backup-simplify]: Simplify (* 1 1) into 1 6.918 * [backup-simplify]: Simplify (/ 1 1) into 1 6.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 6.918 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 6.918 * [taylor]: Taking taylor expansion of y.re in y.im 6.918 * [backup-simplify]: Simplify y.re into y.re 6.918 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.918 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 6.918 * [backup-simplify]: Simplify (+ 1 0) into 1 6.918 * [backup-simplify]: Simplify (sqrt 1) into 1 6.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.920 * [backup-simplify]: Simplify (+ 0 0) into 0 6.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 6.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 6.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 6.920 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.920 * [taylor]: Taking taylor expansion of y.im in y.re 6.920 * [backup-simplify]: Simplify y.im into y.im 6.920 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.920 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 6.920 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.920 * [taylor]: Taking taylor expansion of y.re in y.re 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 1 into 1 6.921 * [backup-simplify]: Simplify (* 1 1) into 1 6.921 * [backup-simplify]: Simplify (/ 1 1) into 1 6.921 * [backup-simplify]: Simplify (+ 0 1) into 1 6.921 * [backup-simplify]: Simplify (sqrt 1) into 1 6.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.922 * [backup-simplify]: Simplify (+ 0 0) into 0 6.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 6.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 6.923 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.923 * [taylor]: Taking taylor expansion of y.im in y.re 6.923 * [backup-simplify]: Simplify y.im into y.im 6.923 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.923 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 6.923 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.923 * [taylor]: Taking taylor expansion of y.re in y.re 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.923 * [backup-simplify]: Simplify (* 1 1) into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.924 * [backup-simplify]: Simplify (+ 0 1) into 1 6.924 * [backup-simplify]: Simplify (sqrt 1) into 1 6.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.925 * [backup-simplify]: Simplify (+ 0 0) into 0 6.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.926 * [taylor]: Taking taylor expansion of 1 in y.im 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [taylor]: Taking taylor expansion of 0 in y.im 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 6.929 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 6.929 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 6.929 * [taylor]: Taking taylor expansion of 1/2 in y.im 6.929 * [backup-simplify]: Simplify 1/2 into 1/2 6.929 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.929 * [taylor]: Taking taylor expansion of y.im in y.im 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [backup-simplify]: Simplify (* 1 1) into 1 6.930 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 6.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.934 * [backup-simplify]: Simplify (+ 0 0) into 0 6.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 6.935 * [taylor]: Taking taylor expansion of 0 in y.im 6.935 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 6.937 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.938 * [backup-simplify]: Simplify (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) 6.938 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in (x.re y.re x.im y.im) around 0 6.938 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in y.im 6.938 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.im 6.938 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.im 6.938 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 6.938 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.938 * [taylor]: Taking taylor expansion of y.im in y.im 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify 1 into 1 6.938 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 6.938 * [taylor]: Taking taylor expansion of y.re in y.im 6.938 * [backup-simplify]: Simplify y.re into y.re 6.938 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.938 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 6.938 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 6.939 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.re 2))) into (/ 1 y.re) 6.939 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 6.939 * [backup-simplify]: Simplify (+ 0 0) into 0 6.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 6.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.re 2))))) into 0 6.940 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 6.940 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 6.940 * [taylor]: Taking taylor expansion of y.re in y.im 6.940 * [backup-simplify]: Simplify y.re into y.re 6.940 * [taylor]: Taking taylor expansion of x.re in y.im 6.940 * [backup-simplify]: Simplify x.re into x.re 6.940 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 6.940 * [taylor]: Taking taylor expansion of y.im in y.im 6.940 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify 1 into 1 6.940 * [taylor]: Taking taylor expansion of x.im in y.im 6.940 * [backup-simplify]: Simplify x.im into x.im 6.940 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.im 6.940 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.im 6.940 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.im 6.940 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 6.940 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 6.940 * [taylor]: Taking taylor expansion of y.im in x.im 6.940 * [backup-simplify]: Simplify y.im into y.im 6.940 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 6.940 * [taylor]: Taking taylor expansion of y.re in x.im 6.941 * [backup-simplify]: Simplify y.re into y.re 6.941 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.941 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.941 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 6.941 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 6.941 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 6.942 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.942 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 6.942 * [backup-simplify]: Simplify (+ 0 0) into 0 6.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 6.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 6.943 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 6.943 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 6.943 * [taylor]: Taking taylor expansion of y.re in x.im 6.943 * [backup-simplify]: Simplify y.re into y.re 6.943 * [taylor]: Taking taylor expansion of x.re in x.im 6.943 * [backup-simplify]: Simplify x.re into x.re 6.943 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 6.943 * [taylor]: Taking taylor expansion of y.im in x.im 6.943 * [backup-simplify]: Simplify y.im into y.im 6.943 * [taylor]: Taking taylor expansion of x.im in x.im 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 1 into 1 6.943 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in y.re 6.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 6.944 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 6.944 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 6.944 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.944 * [taylor]: Taking taylor expansion of y.im in y.re 6.944 * [backup-simplify]: Simplify y.im into y.im 6.944 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.944 * [taylor]: Taking taylor expansion of y.re in y.re 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 1 into 1 6.944 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.944 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 6.944 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.944 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 6.944 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.945 * [backup-simplify]: Simplify (+ 0 0) into 0 6.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 6.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 6.945 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 6.945 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 6.945 * [taylor]: Taking taylor expansion of y.re in y.re 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify 1 into 1 6.945 * [taylor]: Taking taylor expansion of x.re in y.re 6.945 * [backup-simplify]: Simplify x.re into x.re 6.945 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 6.946 * [taylor]: Taking taylor expansion of y.im in y.re 6.946 * [backup-simplify]: Simplify y.im into y.im 6.946 * [taylor]: Taking taylor expansion of x.im in y.re 6.946 * [backup-simplify]: Simplify x.im into x.im 6.946 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.re 6.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 6.946 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 6.946 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 6.946 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 6.946 * [taylor]: Taking taylor expansion of y.im in x.re 6.946 * [backup-simplify]: Simplify y.im into y.im 6.946 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 6.946 * [taylor]: Taking taylor expansion of y.re in x.re 6.946 * [backup-simplify]: Simplify y.re into y.re 6.946 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.946 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.946 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 6.946 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 6.947 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 6.947 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.947 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 6.947 * [backup-simplify]: Simplify (+ 0 0) into 0 6.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 6.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 6.948 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 6.948 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 6.948 * [taylor]: Taking taylor expansion of y.re in x.re 6.949 * [backup-simplify]: Simplify y.re into y.re 6.949 * [taylor]: Taking taylor expansion of x.re in x.re 6.949 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify 1 into 1 6.949 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 6.949 * [taylor]: Taking taylor expansion of y.im in x.re 6.949 * [backup-simplify]: Simplify y.im into y.im 6.949 * [taylor]: Taking taylor expansion of x.im in x.re 6.949 * [backup-simplify]: Simplify x.im into x.im 6.949 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.re 6.949 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 6.949 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 6.949 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 6.949 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 6.949 * [taylor]: Taking taylor expansion of y.im in x.re 6.949 * [backup-simplify]: Simplify y.im into y.im 6.949 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 6.949 * [taylor]: Taking taylor expansion of y.re in x.re 6.949 * [backup-simplify]: Simplify y.re into y.re 6.949 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.949 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.949 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 6.950 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 6.950 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 6.950 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.950 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 6.951 * [backup-simplify]: Simplify (+ 0 0) into 0 6.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 6.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 6.951 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 6.952 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 6.952 * [taylor]: Taking taylor expansion of y.re in x.re 6.952 * [backup-simplify]: Simplify y.re into y.re 6.952 * [taylor]: Taking taylor expansion of x.re in x.re 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 1 into 1 6.952 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 6.952 * [taylor]: Taking taylor expansion of y.im in x.re 6.952 * [backup-simplify]: Simplify y.im into y.im 6.952 * [taylor]: Taking taylor expansion of x.im in x.re 6.952 * [backup-simplify]: Simplify x.im into x.im 6.952 * [backup-simplify]: Simplify (* y.re 0) into 0 6.952 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 6.952 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 6.952 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (* y.im x.im)) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.im)) 6.952 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.im)) in y.re 6.952 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 6.952 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 6.952 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 6.953 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.953 * [taylor]: Taking taylor expansion of y.im in y.re 6.953 * [backup-simplify]: Simplify y.im into y.im 6.953 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.953 * [taylor]: Taking taylor expansion of y.re in y.re 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.953 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 6.953 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.953 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 6.953 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.954 * [backup-simplify]: Simplify (+ 0 0) into 0 6.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 6.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 6.954 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 6.954 * [taylor]: Taking taylor expansion of y.im in y.re 6.954 * [backup-simplify]: Simplify y.im into y.im 6.954 * [taylor]: Taking taylor expansion of x.im in y.re 6.954 * [backup-simplify]: Simplify x.im into x.im 6.954 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 6.955 * [backup-simplify]: Simplify (* (/ 1 y.im) (* y.im x.im)) into x.im 6.955 * [taylor]: Taking taylor expansion of x.im in x.im 6.955 * [backup-simplify]: Simplify 0 into 0 6.955 * [backup-simplify]: Simplify 1 into 1 6.955 * [taylor]: Taking taylor expansion of 0 in y.im 6.955 * [backup-simplify]: Simplify 0 into 0 6.955 * [backup-simplify]: Simplify 0 into 0 6.955 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 6.955 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 6.955 * [backup-simplify]: Simplify (+ y.re 0) into y.re 6.956 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) y.re) (* 0 (* y.im x.im))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) 6.956 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) in y.re 6.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 6.956 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 6.956 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 6.956 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.956 * [taylor]: Taking taylor expansion of y.im in y.re 6.956 * [backup-simplify]: Simplify y.im into y.im 6.956 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.956 * [taylor]: Taking taylor expansion of y.re in y.re 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.956 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 6.957 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.957 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 6.957 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 6.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 6.958 * [taylor]: Taking taylor expansion of y.re in y.re 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (* (/ 1 y.im) 0) into 0 6.958 * [taylor]: Taking taylor expansion of 0 in x.im 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [taylor]: Taking taylor expansion of 0 in y.im 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 6.958 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (* y.im x.im))) into 0 6.958 * [taylor]: Taking taylor expansion of 0 in x.im 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [taylor]: Taking taylor expansion of 0 in y.im 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 0 into 0 6.959 * [taylor]: Taking taylor expansion of 1 in y.im 6.959 * [backup-simplify]: Simplify 1 into 1 6.959 * [backup-simplify]: Simplify 1 into 1 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 6.960 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 6.960 * [backup-simplify]: Simplify (+ 0 0) into 0 6.961 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 6.961 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 6.961 * [backup-simplify]: Simplify (+ 0 0) into 0 6.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* 0 (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 6.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0 6.963 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 0) (+ (* 0 y.re) (* 0 (* y.im x.im)))) into 0 6.963 * [taylor]: Taking taylor expansion of 0 in y.re 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [taylor]: Taking taylor expansion of 0 in x.im 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [taylor]: Taking taylor expansion of 0 in y.im 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 1) (* 0 0)) into (/ 1 y.im) 6.964 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im 6.964 * [taylor]: Taking taylor expansion of y.im in x.im 6.964 * [backup-simplify]: Simplify y.im into y.im 6.964 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 6.964 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 6.964 * [taylor]: Taking taylor expansion of y.im in y.im 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [backup-simplify]: Simplify (/ 1 1) into 1 6.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 6.966 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 6.966 * [backup-simplify]: Simplify (* 1 1) into 1 6.967 * [backup-simplify]: Simplify (+ 0 1) into 1 6.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ 1 (pow y.im 4))) 6.968 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3)) 6.969 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 3)) (* y.im x.im)))) into (- (* 1/2 (/ x.im (pow y.im 2)))) 6.969 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x.im (pow y.im 2)))) in x.im 6.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.im (pow y.im 2))) in x.im 6.969 * [taylor]: Taking taylor expansion of 1/2 in x.im 6.969 * [backup-simplify]: Simplify 1/2 into 1/2 6.969 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 2)) in x.im 6.969 * [taylor]: Taking taylor expansion of x.im in x.im 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 1 into 1 6.969 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 6.969 * [taylor]: Taking taylor expansion of y.im in x.im 6.969 * [backup-simplify]: Simplify y.im into y.im 6.969 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.970 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.970 * [taylor]: Taking taylor expansion of 0 in y.im 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [taylor]: Taking taylor expansion of 0 in y.im 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [taylor]: Taking taylor expansion of 0 in y.im 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify (* 1 (* 1 (* x.im (* 1 1)))) into x.im 6.971 * [backup-simplify]: Simplify (* (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (/ 1 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))))) into (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 6.971 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in (x.re y.re x.im y.im) around 0 6.971 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.im 6.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 6.971 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 6.971 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 6.971 * [taylor]: Taking taylor expansion of y.im in y.im 6.971 * [backup-simplify]: Simplify 0 into 0 6.971 * [backup-simplify]: Simplify 1 into 1 6.971 * [taylor]: Taking taylor expansion of x.im in y.im 6.971 * [backup-simplify]: Simplify x.im into x.im 6.971 * [backup-simplify]: Simplify (* 0 x.im) into 0 6.972 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 6.972 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 6.972 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 6.972 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 6.972 * [taylor]: Taking taylor expansion of y.re in y.im 6.972 * [backup-simplify]: Simplify y.re into y.re 6.972 * [taylor]: Taking taylor expansion of x.re in y.im 6.972 * [backup-simplify]: Simplify x.re into x.re 6.972 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 6.972 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 6.972 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 6.972 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 6.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 6.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 6.972 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 6.972 * [taylor]: Taking taylor expansion of y.im in y.im 6.972 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify 1 into 1 6.973 * [backup-simplify]: Simplify (* 1 1) into 1 6.973 * [backup-simplify]: Simplify (/ 1 1) into 1 6.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 6.973 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 6.973 * [taylor]: Taking taylor expansion of y.re in y.im 6.973 * [backup-simplify]: Simplify y.re into y.re 6.973 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.973 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 6.974 * [backup-simplify]: Simplify (+ 1 0) into 1 6.974 * [backup-simplify]: Simplify (/ 1 1) into 1 6.974 * [backup-simplify]: Simplify (sqrt 1) into 1 6.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.976 * [backup-simplify]: Simplify (+ 0 0) into 0 6.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.983 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.im 6.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 6.983 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 6.983 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 6.983 * [taylor]: Taking taylor expansion of y.im in x.im 6.983 * [backup-simplify]: Simplify y.im into y.im 6.983 * [taylor]: Taking taylor expansion of x.im in x.im 6.983 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify 1 into 1 6.983 * [backup-simplify]: Simplify (* y.im 0) into 0 6.983 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 6.983 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 6.984 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 6.984 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 6.984 * [taylor]: Taking taylor expansion of y.re in x.im 6.984 * [backup-simplify]: Simplify y.re into y.re 6.984 * [taylor]: Taking taylor expansion of x.re in x.im 6.984 * [backup-simplify]: Simplify x.re into x.re 6.984 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 6.984 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 6.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 6.984 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 6.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 6.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 6.984 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 6.984 * [taylor]: Taking taylor expansion of y.im in x.im 6.984 * [backup-simplify]: Simplify y.im into y.im 6.984 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.984 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 6.984 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 6.984 * [taylor]: Taking taylor expansion of y.re in x.im 6.984 * [backup-simplify]: Simplify y.re into y.re 6.984 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.985 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 6.985 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 6.985 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 6.986 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 6.986 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 6.986 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 6.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 6.987 * [backup-simplify]: Simplify (+ 0 0) into 0 6.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 6.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 6.988 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 6.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 6.988 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 6.988 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 6.988 * [taylor]: Taking taylor expansion of y.im in y.re 6.988 * [backup-simplify]: Simplify y.im into y.im 6.988 * [taylor]: Taking taylor expansion of x.im in y.re 6.988 * [backup-simplify]: Simplify x.im into x.im 6.988 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 6.988 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 6.988 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 6.988 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 6.988 * [taylor]: Taking taylor expansion of y.re in y.re 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [taylor]: Taking taylor expansion of x.re in y.re 6.988 * [backup-simplify]: Simplify x.re into x.re 6.988 * [backup-simplify]: Simplify (* 0 x.re) into 0 6.989 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 6.989 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 6.989 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 6.989 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 6.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 6.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 6.989 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 6.989 * [taylor]: Taking taylor expansion of y.im in y.re 6.989 * [backup-simplify]: Simplify y.im into y.im 6.989 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.989 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 6.989 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 6.990 * [taylor]: Taking taylor expansion of y.re in y.re 6.990 * [backup-simplify]: Simplify 0 into 0 6.990 * [backup-simplify]: Simplify 1 into 1 6.990 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (/ 1 1) into 1 6.991 * [backup-simplify]: Simplify (+ 0 1) into 1 6.991 * [backup-simplify]: Simplify (/ 1 1) into 1 6.991 * [backup-simplify]: Simplify (sqrt 1) into 1 6.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.993 * [backup-simplify]: Simplify (+ 0 0) into 0 6.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.995 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 6.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 6.995 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 6.995 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 6.995 * [taylor]: Taking taylor expansion of y.im in x.re 6.995 * [backup-simplify]: Simplify y.im into y.im 6.995 * [taylor]: Taking taylor expansion of x.im in x.re 6.995 * [backup-simplify]: Simplify x.im into x.im 6.995 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 6.995 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 6.995 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 6.995 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 6.995 * [taylor]: Taking taylor expansion of y.re in x.re 6.995 * [backup-simplify]: Simplify y.re into y.re 6.995 * [taylor]: Taking taylor expansion of x.re in x.re 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 1 into 1 6.995 * [backup-simplify]: Simplify (* y.re 0) into 0 6.996 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 6.996 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 6.996 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 6.996 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 6.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 6.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 6.996 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 6.996 * [taylor]: Taking taylor expansion of y.im in x.re 6.996 * [backup-simplify]: Simplify y.im into y.im 6.996 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 6.996 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 6.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 6.996 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 6.996 * [taylor]: Taking taylor expansion of y.re in x.re 6.996 * [backup-simplify]: Simplify y.re into y.re 6.996 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 6.996 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 6.997 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 6.997 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 6.997 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 6.998 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 6.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 6.998 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 6.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 6.999 * [backup-simplify]: Simplify (+ 0 0) into 0 6.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.000 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 7.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 7.000 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 7.000 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 7.000 * [taylor]: Taking taylor expansion of y.im in x.re 7.000 * [backup-simplify]: Simplify y.im into y.im 7.000 * [taylor]: Taking taylor expansion of x.im in x.re 7.000 * [backup-simplify]: Simplify x.im into x.im 7.000 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.000 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.000 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 7.000 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 7.000 * [taylor]: Taking taylor expansion of y.re in x.re 7.000 * [backup-simplify]: Simplify y.re into y.re 7.000 * [taylor]: Taking taylor expansion of x.re in x.re 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 1 into 1 7.000 * [backup-simplify]: Simplify (* y.re 0) into 0 7.001 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 7.001 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 7.001 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 7.001 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 7.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 7.001 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 7.001 * [taylor]: Taking taylor expansion of y.im in x.re 7.001 * [backup-simplify]: Simplify y.im into y.im 7.001 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.001 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 7.001 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 7.001 * [taylor]: Taking taylor expansion of y.re in x.re 7.001 * [backup-simplify]: Simplify y.re into y.re 7.001 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 7.002 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 7.002 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 7.002 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 7.002 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 7.003 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 7.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 7.003 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 7.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 7.004 * [backup-simplify]: Simplify (+ 0 0) into 0 7.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.005 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 7.005 * [backup-simplify]: Simplify (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 7.005 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 7.005 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 7.005 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 7.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 7.005 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 7.005 * [taylor]: Taking taylor expansion of y.im in y.re 7.006 * [backup-simplify]: Simplify y.im into y.im 7.006 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.006 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 7.006 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 7.006 * [taylor]: Taking taylor expansion of y.re in y.re 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 1 into 1 7.006 * [backup-simplify]: Simplify (* 1 1) into 1 7.007 * [backup-simplify]: Simplify (/ 1 1) into 1 7.007 * [backup-simplify]: Simplify (+ 0 1) into 1 7.008 * [backup-simplify]: Simplify (/ 1 1) into 1 7.008 * [backup-simplify]: Simplify (sqrt 1) into 1 7.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.010 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.011 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 7.011 * [taylor]: Taking taylor expansion of y.re in y.re 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 1 into 1 7.011 * [backup-simplify]: Simplify (/ 1 1) into 1 7.012 * [backup-simplify]: Simplify (* 1 1) into 1 7.012 * [taylor]: Taking taylor expansion of 1 in x.im 7.012 * [backup-simplify]: Simplify 1 into 1 7.013 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 7.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 7.013 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 7.013 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 7.014 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 7.014 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 7.014 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 7.014 * [taylor]: Taking taylor expansion of y.im in y.re 7.014 * [backup-simplify]: Simplify y.im into y.im 7.014 * [taylor]: Taking taylor expansion of x.im in y.re 7.014 * [backup-simplify]: Simplify x.im into x.im 7.014 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.014 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.014 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 7.014 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 7.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 7.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 7.014 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 7.014 * [taylor]: Taking taylor expansion of y.im in y.re 7.014 * [backup-simplify]: Simplify y.im into y.im 7.014 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.014 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 7.014 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 7.014 * [taylor]: Taking taylor expansion of y.re in y.re 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.015 * [backup-simplify]: Simplify (* 1 1) into 1 7.015 * [backup-simplify]: Simplify (/ 1 1) into 1 7.016 * [backup-simplify]: Simplify (+ 0 1) into 1 7.016 * [backup-simplify]: Simplify (/ 1 1) into 1 7.016 * [backup-simplify]: Simplify (sqrt 1) into 1 7.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.018 * [backup-simplify]: Simplify (+ 0 0) into 0 7.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.021 * [taylor]: Taking taylor expansion of 0 in x.im 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [taylor]: Taking taylor expansion of 1 in y.im 7.021 * [backup-simplify]: Simplify 1 into 1 7.021 * [backup-simplify]: Simplify 1 into 1 7.021 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 7.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 7.022 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 7.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 7.023 * [backup-simplify]: Simplify (+ 0 0) into 0 7.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.025 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 7.026 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.027 * [backup-simplify]: Simplify (+ 0 0) into 0 7.027 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0 7.027 * [taylor]: Taking taylor expansion of 0 in y.re 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [taylor]: Taking taylor expansion of 0 in x.im 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 7.028 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 7.028 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 7.028 * [taylor]: Taking taylor expansion of y.im in x.im 7.028 * [backup-simplify]: Simplify y.im into y.im 7.028 * [taylor]: Taking taylor expansion of x.im in x.im 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [backup-simplify]: Simplify (* y.im 0) into 0 7.028 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 7.028 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 7.028 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 7.028 * [taylor]: Taking taylor expansion of y.im in y.im 7.028 * [backup-simplify]: Simplify 0 into 0 7.029 * [backup-simplify]: Simplify 1 into 1 7.029 * [backup-simplify]: Simplify (/ 1 1) into 1 7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.032 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 7.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 7.034 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 7.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 7.035 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 7.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 7.035 * [taylor]: Taking taylor expansion of 1/2 in x.im 7.035 * [backup-simplify]: Simplify 1/2 into 1/2 7.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 7.036 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 7.036 * [taylor]: Taking taylor expansion of y.im in x.im 7.036 * [backup-simplify]: Simplify y.im into y.im 7.036 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.036 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.036 * [taylor]: Taking taylor expansion of 0 in y.im 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [taylor]: Taking taylor expansion of 0 in y.im 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 7.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 7.038 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 7.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 7.039 * [backup-simplify]: Simplify (+ 0 0) into 0 7.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.042 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 7.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 7.043 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.044 * [backup-simplify]: Simplify (+ 0 0) into 0 7.045 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0 7.045 * [taylor]: Taking taylor expansion of 0 in y.re 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [taylor]: Taking taylor expansion of 0 in x.im 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [taylor]: Taking taylor expansion of 0 in x.im 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 7.046 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 7.046 * [taylor]: Taking taylor expansion of 0 in x.im 7.046 * [backup-simplify]: Simplify 0 into 0 7.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.047 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 7.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.049 * [backup-simplify]: Simplify (+ 0 0) into 0 7.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 7.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 7.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 7.053 * [taylor]: Taking taylor expansion of 0 in x.im 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [taylor]: Taking taylor expansion of 0 in y.im 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 7.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 7.054 * [taylor]: Taking taylor expansion of 0 in y.im 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.re)))))) into x.re 7.055 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (/ 1 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))))) into (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 7.055 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in (x.re y.re x.im y.im) around 0 7.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.im 7.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 7.055 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 7.055 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 7.055 * [taylor]: Taking taylor expansion of y.im in y.im 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.055 * [taylor]: Taking taylor expansion of x.im in y.im 7.055 * [backup-simplify]: Simplify x.im into x.im 7.055 * [backup-simplify]: Simplify (* 0 x.im) into 0 7.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 7.055 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 7.055 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 7.055 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 7.055 * [taylor]: Taking taylor expansion of y.re in y.im 7.055 * [backup-simplify]: Simplify y.re into y.re 7.055 * [taylor]: Taking taylor expansion of x.re in y.im 7.055 * [backup-simplify]: Simplify x.re into x.re 7.055 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 7.055 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 7.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 7.055 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 7.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 7.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 7.055 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 7.055 * [taylor]: Taking taylor expansion of y.im in y.im 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.056 * [backup-simplify]: Simplify (* 1 1) into 1 7.056 * [backup-simplify]: Simplify (/ 1 1) into 1 7.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 7.056 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 7.056 * [taylor]: Taking taylor expansion of y.re in y.im 7.056 * [backup-simplify]: Simplify y.re into y.re 7.056 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 7.056 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 7.056 * [backup-simplify]: Simplify (+ 1 0) into 1 7.057 * [backup-simplify]: Simplify (/ 1 1) into 1 7.057 * [backup-simplify]: Simplify (sqrt 1) into 1 7.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.058 * [backup-simplify]: Simplify (+ 0 0) into 0 7.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.059 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.im 7.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 7.059 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 7.059 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 7.059 * [taylor]: Taking taylor expansion of y.im in x.im 7.059 * [backup-simplify]: Simplify y.im into y.im 7.059 * [taylor]: Taking taylor expansion of x.im in x.im 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [backup-simplify]: Simplify (* y.im 0) into 0 7.060 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 7.060 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 7.060 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 7.060 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 7.060 * [taylor]: Taking taylor expansion of y.re in x.im 7.060 * [backup-simplify]: Simplify y.re into y.re 7.060 * [taylor]: Taking taylor expansion of x.re in x.im 7.060 * [backup-simplify]: Simplify x.re into x.re 7.060 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 7.060 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 7.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 7.060 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 7.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 7.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 7.060 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 7.060 * [taylor]: Taking taylor expansion of y.im in x.im 7.060 * [backup-simplify]: Simplify y.im into y.im 7.060 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.060 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 7.060 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 7.060 * [taylor]: Taking taylor expansion of y.re in x.im 7.060 * [backup-simplify]: Simplify y.re into y.re 7.060 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 7.060 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 7.060 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 7.061 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 7.061 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 7.061 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 7.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 7.061 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 7.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 7.062 * [backup-simplify]: Simplify (+ 0 0) into 0 7.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.062 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 7.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 7.062 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 7.062 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 7.062 * [taylor]: Taking taylor expansion of y.im in y.re 7.062 * [backup-simplify]: Simplify y.im into y.im 7.062 * [taylor]: Taking taylor expansion of x.im in y.re 7.062 * [backup-simplify]: Simplify x.im into x.im 7.062 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.062 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.062 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 7.062 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 7.062 * [taylor]: Taking taylor expansion of y.re in y.re 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify 1 into 1 7.063 * [taylor]: Taking taylor expansion of x.re in y.re 7.063 * [backup-simplify]: Simplify x.re into x.re 7.063 * [backup-simplify]: Simplify (* 0 x.re) into 0 7.063 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 7.063 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 7.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 7.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 7.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 7.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 7.063 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 7.063 * [taylor]: Taking taylor expansion of y.im in y.re 7.063 * [backup-simplify]: Simplify y.im into y.im 7.063 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.063 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 7.063 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 7.063 * [taylor]: Taking taylor expansion of y.re in y.re 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify 1 into 1 7.064 * [backup-simplify]: Simplify (* 1 1) into 1 7.064 * [backup-simplify]: Simplify (/ 1 1) into 1 7.064 * [backup-simplify]: Simplify (+ 0 1) into 1 7.064 * [backup-simplify]: Simplify (/ 1 1) into 1 7.065 * [backup-simplify]: Simplify (sqrt 1) into 1 7.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.066 * [backup-simplify]: Simplify (+ 0 0) into 0 7.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.066 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 7.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 7.067 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 7.067 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 7.067 * [taylor]: Taking taylor expansion of y.im in x.re 7.067 * [backup-simplify]: Simplify y.im into y.im 7.067 * [taylor]: Taking taylor expansion of x.im in x.re 7.067 * [backup-simplify]: Simplify x.im into x.im 7.067 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.067 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.067 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 7.067 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 7.067 * [taylor]: Taking taylor expansion of y.re in x.re 7.067 * [backup-simplify]: Simplify y.re into y.re 7.067 * [taylor]: Taking taylor expansion of x.re in x.re 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 1 into 1 7.067 * [backup-simplify]: Simplify (* y.re 0) into 0 7.067 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 7.067 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 7.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 7.067 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 7.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 7.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 7.067 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 7.067 * [taylor]: Taking taylor expansion of y.im in x.re 7.067 * [backup-simplify]: Simplify y.im into y.im 7.067 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.068 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 7.068 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 7.068 * [taylor]: Taking taylor expansion of y.re in x.re 7.068 * [backup-simplify]: Simplify y.re into y.re 7.068 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 7.068 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 7.068 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 7.068 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 7.068 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 7.068 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 7.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 7.069 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 7.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 7.069 * [backup-simplify]: Simplify (+ 0 0) into 0 7.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 7.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 7.070 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 7.070 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 7.070 * [taylor]: Taking taylor expansion of y.im in x.re 7.070 * [backup-simplify]: Simplify y.im into y.im 7.070 * [taylor]: Taking taylor expansion of x.im in x.re 7.070 * [backup-simplify]: Simplify x.im into x.im 7.070 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.070 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.070 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 7.070 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 7.070 * [taylor]: Taking taylor expansion of y.re in x.re 7.070 * [backup-simplify]: Simplify y.re into y.re 7.070 * [taylor]: Taking taylor expansion of x.re in x.re 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (* y.re 0) into 0 7.071 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 7.071 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 7.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 7.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 7.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 7.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 7.071 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 7.071 * [taylor]: Taking taylor expansion of y.im in x.re 7.071 * [backup-simplify]: Simplify y.im into y.im 7.071 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.071 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 7.071 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 7.071 * [taylor]: Taking taylor expansion of y.re in x.re 7.071 * [backup-simplify]: Simplify y.re into y.re 7.071 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 7.071 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 7.071 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 7.071 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 7.072 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 7.072 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 7.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 7.072 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 7.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 7.073 * [backup-simplify]: Simplify (+ 0 0) into 0 7.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.073 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 7.074 * [backup-simplify]: Simplify (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 7.074 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 7.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 7.074 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 7.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 7.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 7.074 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 7.074 * [taylor]: Taking taylor expansion of y.im in y.re 7.074 * [backup-simplify]: Simplify y.im into y.im 7.074 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.074 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 7.074 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 7.074 * [taylor]: Taking taylor expansion of y.re in y.re 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify 1 into 1 7.074 * [backup-simplify]: Simplify (* 1 1) into 1 7.075 * [backup-simplify]: Simplify (/ 1 1) into 1 7.075 * [backup-simplify]: Simplify (+ 0 1) into 1 7.075 * [backup-simplify]: Simplify (/ 1 1) into 1 7.075 * [backup-simplify]: Simplify (sqrt 1) into 1 7.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.076 * [backup-simplify]: Simplify (+ 0 0) into 0 7.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.077 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 7.077 * [taylor]: Taking taylor expansion of y.re in y.re 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.078 * [backup-simplify]: Simplify (/ 1 1) into 1 7.078 * [backup-simplify]: Simplify (* 1 1) into 1 7.078 * [taylor]: Taking taylor expansion of 1 in x.im 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 7.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 7.078 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 7.079 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 7.079 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 7.079 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 7.079 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 7.079 * [taylor]: Taking taylor expansion of y.im in y.re 7.079 * [backup-simplify]: Simplify y.im into y.im 7.079 * [taylor]: Taking taylor expansion of x.im in y.re 7.079 * [backup-simplify]: Simplify x.im into x.im 7.079 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.079 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 7.079 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 7.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 7.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 7.079 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 7.079 * [taylor]: Taking taylor expansion of y.im in y.re 7.079 * [backup-simplify]: Simplify y.im into y.im 7.079 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.079 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 7.079 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 7.079 * [taylor]: Taking taylor expansion of y.re in y.re 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 1 into 1 7.080 * [backup-simplify]: Simplify (* 1 1) into 1 7.080 * [backup-simplify]: Simplify (/ 1 1) into 1 7.080 * [backup-simplify]: Simplify (+ 0 1) into 1 7.080 * [backup-simplify]: Simplify (/ 1 1) into 1 7.081 * [backup-simplify]: Simplify (sqrt 1) into 1 7.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.082 * [backup-simplify]: Simplify (+ 0 0) into 0 7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.085 * [taylor]: Taking taylor expansion of 0 in x.im 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [taylor]: Taking taylor expansion of 1 in y.im 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify 1 into 1 7.086 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 7.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 7.087 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 7.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 7.088 * [backup-simplify]: Simplify (+ 0 0) into 0 7.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.090 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.090 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 7.091 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.091 * [backup-simplify]: Simplify (+ 0 0) into 0 7.092 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0 7.092 * [taylor]: Taking taylor expansion of 0 in y.re 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [taylor]: Taking taylor expansion of 0 in x.im 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 7.092 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 7.092 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 7.092 * [taylor]: Taking taylor expansion of y.im in x.im 7.092 * [backup-simplify]: Simplify y.im into y.im 7.092 * [taylor]: Taking taylor expansion of x.im in x.im 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify 1 into 1 7.092 * [backup-simplify]: Simplify (* y.im 0) into 0 7.093 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 7.093 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 7.093 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 7.093 * [taylor]: Taking taylor expansion of y.im in y.im 7.093 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify 1 into 1 7.093 * [backup-simplify]: Simplify (/ 1 1) into 1 7.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.094 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.097 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 7.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 7.099 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 7.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 7.100 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 7.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 7.100 * [taylor]: Taking taylor expansion of 1/2 in x.im 7.100 * [backup-simplify]: Simplify 1/2 into 1/2 7.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 7.100 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 7.100 * [taylor]: Taking taylor expansion of y.im in x.im 7.100 * [backup-simplify]: Simplify y.im into y.im 7.100 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 7.100 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 7.100 * [taylor]: Taking taylor expansion of 0 in y.im 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [taylor]: Taking taylor expansion of 0 in y.im 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 7.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 7.103 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 7.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 7.104 * [backup-simplify]: Simplify (+ 0 0) into 0 7.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 7.107 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 7.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 7.108 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.109 * [backup-simplify]: Simplify (+ 0 0) into 0 7.109 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0 7.109 * [taylor]: Taking taylor expansion of 0 in y.re 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [taylor]: Taking taylor expansion of 0 in x.im 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [taylor]: Taking taylor expansion of 0 in x.im 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 7.110 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 7.111 * [taylor]: Taking taylor expansion of 0 in x.im 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 7.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 7.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.114 * [backup-simplify]: Simplify (+ 0 0) into 0 7.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 7.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 7.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 7.117 * [taylor]: Taking taylor expansion of 0 in x.im 7.117 * [backup-simplify]: Simplify 0 into 0 7.118 * [taylor]: Taking taylor expansion of 0 in y.im 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 7.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 7.118 * [taylor]: Taking taylor expansion of 0 in y.im 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.re))))))) into (* -1 x.re) 7.119 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 7.119 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.re x.re) (* y.im x.im)) 7.119 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 7.119 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 7.119 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 7.119 * [taylor]: Taking taylor expansion of y.re in y.im 7.119 * [backup-simplify]: Simplify y.re into y.re 7.119 * [taylor]: Taking taylor expansion of x.re in y.im 7.119 * [backup-simplify]: Simplify x.re into x.re 7.119 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 7.119 * [taylor]: Taking taylor expansion of y.im in y.im 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [taylor]: Taking taylor expansion of x.im in y.im 7.119 * [backup-simplify]: Simplify x.im into x.im 7.119 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 7.119 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 7.119 * [taylor]: Taking taylor expansion of y.re in x.im 7.119 * [backup-simplify]: Simplify y.re into y.re 7.119 * [taylor]: Taking taylor expansion of x.re in x.im 7.119 * [backup-simplify]: Simplify x.re into x.re 7.119 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 7.120 * [taylor]: Taking taylor expansion of y.im in x.im 7.120 * [backup-simplify]: Simplify y.im into y.im 7.120 * [taylor]: Taking taylor expansion of x.im in x.im 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.120 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 7.120 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 7.120 * [taylor]: Taking taylor expansion of y.re in y.re 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.120 * [taylor]: Taking taylor expansion of x.re in y.re 7.120 * [backup-simplify]: Simplify x.re into x.re 7.120 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 7.120 * [taylor]: Taking taylor expansion of y.im in y.re 7.120 * [backup-simplify]: Simplify y.im into y.im 7.120 * [taylor]: Taking taylor expansion of x.im in y.re 7.120 * [backup-simplify]: Simplify x.im into x.im 7.120 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 7.120 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 7.120 * [taylor]: Taking taylor expansion of y.re in x.re 7.120 * [backup-simplify]: Simplify y.re into y.re 7.120 * [taylor]: Taking taylor expansion of x.re in x.re 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.120 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 7.120 * [taylor]: Taking taylor expansion of y.im in x.re 7.120 * [backup-simplify]: Simplify y.im into y.im 7.120 * [taylor]: Taking taylor expansion of x.im in x.re 7.120 * [backup-simplify]: Simplify x.im into x.im 7.120 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 7.120 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 7.120 * [taylor]: Taking taylor expansion of y.re in x.re 7.120 * [backup-simplify]: Simplify y.re into y.re 7.120 * [taylor]: Taking taylor expansion of x.re in x.re 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.120 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 7.120 * [taylor]: Taking taylor expansion of y.im in x.re 7.120 * [backup-simplify]: Simplify y.im into y.im 7.121 * [taylor]: Taking taylor expansion of x.im in x.re 7.121 * [backup-simplify]: Simplify x.im into x.im 7.121 * [backup-simplify]: Simplify (* y.re 0) into 0 7.121 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.121 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 7.121 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 7.121 * [taylor]: Taking taylor expansion of y.im in y.re 7.121 * [backup-simplify]: Simplify y.im into y.im 7.121 * [taylor]: Taking taylor expansion of x.im in y.re 7.121 * [backup-simplify]: Simplify x.im into x.im 7.121 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.121 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 7.121 * [taylor]: Taking taylor expansion of y.im in x.im 7.121 * [backup-simplify]: Simplify y.im into y.im 7.121 * [taylor]: Taking taylor expansion of x.im in x.im 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (* y.im 0) into 0 7.121 * [taylor]: Taking taylor expansion of 0 in y.im 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 7.122 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.122 * [backup-simplify]: Simplify (+ y.re 0) into y.re 7.122 * [taylor]: Taking taylor expansion of y.re in y.re 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 1 into 1 7.122 * [taylor]: Taking taylor expansion of 0 in x.im 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [taylor]: Taking taylor expansion of 0 in y.im 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.122 * [taylor]: Taking taylor expansion of 0 in x.im 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [taylor]: Taking taylor expansion of 0 in y.im 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 7.123 * [taylor]: Taking taylor expansion of y.im in y.im 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify 1 into 1 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 7.124 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.125 * [taylor]: Taking taylor expansion of 0 in y.re 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [taylor]: Taking taylor expansion of 0 in x.im 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [taylor]: Taking taylor expansion of 0 in y.im 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 7.125 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 7.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 7.125 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 7.125 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 7.125 * [taylor]: Taking taylor expansion of y.im in y.im 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 1 into 1 7.125 * [taylor]: Taking taylor expansion of x.im in y.im 7.125 * [backup-simplify]: Simplify x.im into x.im 7.125 * [backup-simplify]: Simplify (* 0 x.im) into 0 7.126 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 7.126 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 7.126 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 7.126 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 7.126 * [taylor]: Taking taylor expansion of y.re in y.im 7.126 * [backup-simplify]: Simplify y.re into y.re 7.126 * [taylor]: Taking taylor expansion of x.re in y.im 7.126 * [backup-simplify]: Simplify x.re into x.re 7.126 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 7.126 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 7.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 7.126 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 7.126 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 7.126 * [taylor]: Taking taylor expansion of y.im in x.im 7.126 * [backup-simplify]: Simplify y.im into y.im 7.126 * [taylor]: Taking taylor expansion of x.im in x.im 7.126 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify 1 into 1 7.126 * [backup-simplify]: Simplify (* y.im 0) into 0 7.127 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 7.127 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 7.127 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 7.127 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 7.127 * [taylor]: Taking taylor expansion of y.re in x.im 7.127 * [backup-simplify]: Simplify y.re into y.re 7.127 * [taylor]: Taking taylor expansion of x.re in x.im 7.127 * [backup-simplify]: Simplify x.re into x.re 7.127 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 7.127 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 7.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 7.127 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 7.127 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 7.127 * [taylor]: Taking taylor expansion of y.im in y.re 7.127 * [backup-simplify]: Simplify y.im into y.im 7.127 * [taylor]: Taking taylor expansion of x.im in y.re 7.127 * [backup-simplify]: Simplify x.im into x.im 7.128 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.128 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.128 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 7.128 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 7.128 * [taylor]: Taking taylor expansion of y.re in y.re 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 1 into 1 7.128 * [taylor]: Taking taylor expansion of x.re in y.re 7.128 * [backup-simplify]: Simplify x.re into x.re 7.128 * [backup-simplify]: Simplify (* 0 x.re) into 0 7.133 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 7.133 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 7.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 7.133 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 7.133 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 7.133 * [taylor]: Taking taylor expansion of y.im in x.re 7.133 * [backup-simplify]: Simplify y.im into y.im 7.133 * [taylor]: Taking taylor expansion of x.im in x.re 7.133 * [backup-simplify]: Simplify x.im into x.im 7.133 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.133 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.133 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 7.133 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 7.133 * [taylor]: Taking taylor expansion of y.re in x.re 7.133 * [backup-simplify]: Simplify y.re into y.re 7.133 * [taylor]: Taking taylor expansion of x.re in x.re 7.133 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify 1 into 1 7.133 * [backup-simplify]: Simplify (* y.re 0) into 0 7.134 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 7.134 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 7.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 7.134 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 7.134 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 7.134 * [taylor]: Taking taylor expansion of y.im in x.re 7.134 * [backup-simplify]: Simplify y.im into y.im 7.134 * [taylor]: Taking taylor expansion of x.im in x.re 7.134 * [backup-simplify]: Simplify x.im into x.im 7.134 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.134 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.134 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 7.134 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 7.134 * [taylor]: Taking taylor expansion of y.re in x.re 7.135 * [backup-simplify]: Simplify y.re into y.re 7.135 * [taylor]: Taking taylor expansion of x.re in x.re 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 1 into 1 7.135 * [backup-simplify]: Simplify (* y.re 0) into 0 7.135 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 7.135 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 7.135 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 7.135 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 7.135 * [taylor]: Taking taylor expansion of y.re in y.re 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 1 into 1 7.136 * [backup-simplify]: Simplify (/ 1 1) into 1 7.136 * [taylor]: Taking taylor expansion of 1 in x.im 7.136 * [backup-simplify]: Simplify 1 into 1 7.136 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 7.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 7.137 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 7.137 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 7.137 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 7.137 * [taylor]: Taking taylor expansion of y.im in y.re 7.137 * [backup-simplify]: Simplify y.im into y.im 7.137 * [taylor]: Taking taylor expansion of x.im in y.re 7.137 * [backup-simplify]: Simplify x.im into x.im 7.137 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.137 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.138 * [taylor]: Taking taylor expansion of 0 in x.im 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [taylor]: Taking taylor expansion of 1 in y.im 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 7.139 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.139 * [backup-simplify]: Simplify (+ 0 0) into 0 7.139 * [taylor]: Taking taylor expansion of 0 in y.re 7.139 * [backup-simplify]: Simplify 0 into 0 7.140 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 7.140 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 7.140 * [taylor]: Taking taylor expansion of y.im in x.im 7.140 * [backup-simplify]: Simplify y.im into y.im 7.140 * [taylor]: Taking taylor expansion of x.im in x.im 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.140 * [backup-simplify]: Simplify (* y.im 0) into 0 7.140 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 7.140 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 7.140 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 7.140 * [taylor]: Taking taylor expansion of y.im in y.im 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (/ 1 1) into 1 7.141 * [backup-simplify]: Simplify 1 into 1 7.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.142 * [taylor]: Taking taylor expansion of 0 in x.im 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [taylor]: Taking taylor expansion of 0 in y.im 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [taylor]: Taking taylor expansion of 0 in y.im 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 1 into 1 7.142 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 7.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 7.143 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.144 * [backup-simplify]: Simplify (+ 0 0) into 0 7.144 * [taylor]: Taking taylor expansion of 0 in y.re 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [taylor]: Taking taylor expansion of 0 in x.im 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 7.144 * [taylor]: Taking taylor expansion of 0 in x.im 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.144 * [taylor]: Taking taylor expansion of 0 in x.im 7.144 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 7.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 7.145 * [taylor]: Taking taylor expansion of 0 in y.im 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [taylor]: Taking taylor expansion of 0 in y.im 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [taylor]: Taking taylor expansion of 0 in y.im 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [taylor]: Taking taylor expansion of 0 in y.im 7.145 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 7.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 7.147 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.148 * [backup-simplify]: Simplify (+ 0 0) into 0 7.148 * [taylor]: Taking taylor expansion of 0 in y.re 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [taylor]: Taking taylor expansion of 0 in x.im 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [taylor]: Taking taylor expansion of 0 in x.im 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 7.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 7.148 * [taylor]: Taking taylor expansion of 0 in x.im 7.148 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.149 * [taylor]: Taking taylor expansion of 0 in x.im 7.149 * [backup-simplify]: Simplify 0 into 0 7.149 * [taylor]: Taking taylor expansion of 0 in y.im 7.149 * [backup-simplify]: Simplify 0 into 0 7.149 * [taylor]: Taking taylor expansion of 0 in y.im 7.149 * [backup-simplify]: Simplify 0 into 0 7.149 * [taylor]: Taking taylor expansion of 0 in y.im 7.149 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 7.150 * [taylor]: Taking taylor expansion of 0 in y.im 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [taylor]: Taking taylor expansion of 0 in y.im 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [taylor]: Taking taylor expansion of 0 in y.im 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [taylor]: Taking taylor expansion of 0 in y.im 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.re)))))) (* 1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.im)) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 7.150 * [backup-simplify]: Simplify (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 7.150 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 7.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 7.151 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 7.151 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 7.151 * [taylor]: Taking taylor expansion of y.im in y.im 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify 1 into 1 7.151 * [taylor]: Taking taylor expansion of x.im in y.im 7.151 * [backup-simplify]: Simplify x.im into x.im 7.151 * [backup-simplify]: Simplify (* 0 x.im) into 0 7.151 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 7.151 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 7.151 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 7.151 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 7.151 * [taylor]: Taking taylor expansion of y.re in y.im 7.151 * [backup-simplify]: Simplify y.re into y.re 7.151 * [taylor]: Taking taylor expansion of x.re in y.im 7.151 * [backup-simplify]: Simplify x.re into x.re 7.151 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 7.151 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 7.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 7.151 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 7.151 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 7.151 * [taylor]: Taking taylor expansion of y.im in x.im 7.151 * [backup-simplify]: Simplify y.im into y.im 7.151 * [taylor]: Taking taylor expansion of x.im in x.im 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify 1 into 1 7.151 * [backup-simplify]: Simplify (* y.im 0) into 0 7.152 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 7.152 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 7.152 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 7.152 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 7.152 * [taylor]: Taking taylor expansion of y.re in x.im 7.152 * [backup-simplify]: Simplify y.re into y.re 7.152 * [taylor]: Taking taylor expansion of x.re in x.im 7.152 * [backup-simplify]: Simplify x.re into x.re 7.152 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 7.152 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 7.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 7.152 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 7.152 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 7.152 * [taylor]: Taking taylor expansion of y.im in y.re 7.152 * [backup-simplify]: Simplify y.im into y.im 7.152 * [taylor]: Taking taylor expansion of x.im in y.re 7.152 * [backup-simplify]: Simplify x.im into x.im 7.152 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.152 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.152 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 7.152 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 7.152 * [taylor]: Taking taylor expansion of y.re in y.re 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 1 into 1 7.152 * [taylor]: Taking taylor expansion of x.re in y.re 7.152 * [backup-simplify]: Simplify x.re into x.re 7.152 * [backup-simplify]: Simplify (* 0 x.re) into 0 7.152 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 7.152 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 7.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 7.153 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 7.153 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 7.153 * [taylor]: Taking taylor expansion of y.im in x.re 7.153 * [backup-simplify]: Simplify y.im into y.im 7.153 * [taylor]: Taking taylor expansion of x.im in x.re 7.153 * [backup-simplify]: Simplify x.im into x.im 7.153 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.153 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.153 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 7.153 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 7.153 * [taylor]: Taking taylor expansion of y.re in x.re 7.153 * [backup-simplify]: Simplify y.re into y.re 7.153 * [taylor]: Taking taylor expansion of x.re in x.re 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify 1 into 1 7.153 * [backup-simplify]: Simplify (* y.re 0) into 0 7.153 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 7.153 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 7.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 7.153 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 7.153 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 7.153 * [taylor]: Taking taylor expansion of y.im in x.re 7.153 * [backup-simplify]: Simplify y.im into y.im 7.153 * [taylor]: Taking taylor expansion of x.im in x.re 7.153 * [backup-simplify]: Simplify x.im into x.im 7.153 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.153 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.153 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 7.153 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 7.153 * [taylor]: Taking taylor expansion of y.re in x.re 7.153 * [backup-simplify]: Simplify y.re into y.re 7.153 * [taylor]: Taking taylor expansion of x.re in x.re 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify 1 into 1 7.153 * [backup-simplify]: Simplify (* y.re 0) into 0 7.154 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 7.154 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 7.154 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 7.154 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 7.154 * [taylor]: Taking taylor expansion of y.re in y.re 7.154 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify 1 into 1 7.154 * [backup-simplify]: Simplify (/ 1 1) into 1 7.154 * [taylor]: Taking taylor expansion of 1 in x.im 7.154 * [backup-simplify]: Simplify 1 into 1 7.155 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 7.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 7.155 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 7.155 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 7.155 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 7.155 * [taylor]: Taking taylor expansion of y.im in y.re 7.155 * [backup-simplify]: Simplify y.im into y.im 7.155 * [taylor]: Taking taylor expansion of x.im in y.re 7.155 * [backup-simplify]: Simplify x.im into x.im 7.155 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 7.155 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.155 * [taylor]: Taking taylor expansion of 0 in x.im 7.156 * [backup-simplify]: Simplify 0 into 0 7.156 * [taylor]: Taking taylor expansion of 1 in y.im 7.156 * [backup-simplify]: Simplify 1 into 1 7.156 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 7.156 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.157 * [backup-simplify]: Simplify (+ 0 0) into 0 7.157 * [taylor]: Taking taylor expansion of 0 in y.re 7.157 * [backup-simplify]: Simplify 0 into 0 7.157 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 7.157 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 7.157 * [taylor]: Taking taylor expansion of y.im in x.im 7.157 * [backup-simplify]: Simplify y.im into y.im 7.157 * [taylor]: Taking taylor expansion of x.im in x.im 7.157 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify 1 into 1 7.157 * [backup-simplify]: Simplify (* y.im 0) into 0 7.157 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 7.157 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 7.157 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 7.157 * [taylor]: Taking taylor expansion of y.im in y.im 7.157 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify 1 into 1 7.158 * [backup-simplify]: Simplify (/ 1 1) into 1 7.158 * [backup-simplify]: Simplify 1 into 1 7.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.158 * [taylor]: Taking taylor expansion of 0 in x.im 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [taylor]: Taking taylor expansion of 0 in y.im 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [taylor]: Taking taylor expansion of 0 in y.im 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify 1 into 1 7.159 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 7.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 7.159 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.160 * [backup-simplify]: Simplify (+ 0 0) into 0 7.160 * [taylor]: Taking taylor expansion of 0 in y.re 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [taylor]: Taking taylor expansion of 0 in x.im 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 7.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 7.160 * [taylor]: Taking taylor expansion of 0 in x.im 7.160 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.161 * [taylor]: Taking taylor expansion of 0 in x.im 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 7.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 7.161 * [taylor]: Taking taylor expansion of 0 in y.im 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [taylor]: Taking taylor expansion of 0 in y.im 7.161 * [backup-simplify]: Simplify 0 into 0 7.162 * [taylor]: Taking taylor expansion of 0 in y.im 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [taylor]: Taking taylor expansion of 0 in y.im 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 7.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 7.164 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 7.164 * [backup-simplify]: Simplify (+ 0 0) into 0 7.164 * [taylor]: Taking taylor expansion of 0 in y.re 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [taylor]: Taking taylor expansion of 0 in x.im 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [taylor]: Taking taylor expansion of 0 in x.im 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 7.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 7.165 * [taylor]: Taking taylor expansion of 0 in x.im 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.165 * [taylor]: Taking taylor expansion of 0 in x.im 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [taylor]: Taking taylor expansion of 0 in y.im 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [taylor]: Taking taylor expansion of 0 in y.im 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [taylor]: Taking taylor expansion of 0 in y.im 7.165 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 7.166 * [taylor]: Taking taylor expansion of 0 in y.im 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [taylor]: Taking taylor expansion of 0 in y.im 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [taylor]: Taking taylor expansion of 0 in y.im 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [taylor]: Taking taylor expansion of 0 in y.im 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.re))))))) (* 1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.im))) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 7.167 * * * [progress]: simplifying candidates 7.168 * [simplify]: Simplifying: (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))) (/ 1 2) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))) (/ 1 2) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (log (+ (* x.re y.re) (* x.im y.im))) (- (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (+ (log (+ (* x.re y.re) (* x.im y.im))) (- 0 (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (+ (log (+ (* x.re y.re) (* x.im y.im))) (- (log 1) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (+ (log (+ (* x.re y.re) (* x.im y.im))) (log (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (log (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (exp (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (/ (* (* 1 1) 1) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (* (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) 1) (* (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) 1) (* (- (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt 1) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt 1) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt 1) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt 1) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))))) (* (+ (* x.re y.re) (* x.im y.im)) (sqrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt 1) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt 1) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt 1) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt 1) (sqrt 1))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt 1) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt 1) 1)) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt 1))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 1)) (* (+ (* x.re y.re) (* x.im y.im)) 1) (* (+ (* x.re y.re) (* x.im y.im)) 1) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (+ (* x.re y.re) (* x.im y.im)) 1) (* (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (exp (* x.re y.re)) (exp (* x.im y.im))) (log (+ (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im))) (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)) y.im y.re (* -1 y.re) y.im y.re (* -1 y.re) x.im x.re (* -1 x.re) 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 7.171 * * [simplify]: Extracting # 0 : cost 0 7.171 * * [simplify]: Extracting # 1 : cost 0 7.171 * * [simplify]: Extracting # 2 : cost 0 7.171 * * [simplify]: Extracting # 3 : cost 0 7.171 * * [simplify]: Extracting # 4 : cost 0 7.172 * * [simplify]: Extracting # 5 : cost 0 7.172 * * [simplify]: Extracting # 6 : cost 0 7.172 * * [simplify]: Extracting # 7 : cost 0 7.172 * * [simplify]: iteration 0 : 146 enodes (cost 1886 ) 7.213 * * [simplify]: Extracting # 0 : cost 0 7.213 * * [simplify]: Extracting # 1 : cost 0 7.214 * * [simplify]: Extracting # 2 : cost 0 7.214 * * [simplify]: Extracting # 3 : cost 0 7.215 * * [simplify]: Extracting # 4 : cost 0 7.215 * * [simplify]: iteration 1 : 408 enodes (cost 1701 ) 7.468 * * [simplify]: Extracting # 0 : cost 0 7.472 * * [simplify]: Extracting # 1 : cost 0 7.475 * * [simplify]: Extracting # 2 : cost 0 7.478 * * [simplify]: Extracting # 3 : cost 0 7.480 * * [simplify]: Extracting # 4 : cost 0 7.483 * * [simplify]: iteration 2 : 2341 enodes (cost 1478 ) 10.418 * * [simplify]: Extracting # 0 : cost 0 10.498 * * [simplify]: Extracting # 1 : cost 0 10.504 * * [simplify]: Extracting # 2 : cost 0 10.510 * * [simplify]: Extracting # 3 : cost 0 10.517 * * [simplify]: Extracting # 4 : cost 0 10.523 * * [simplify]: iteration done: 5002 enodes (cost 1474 ) 10.524 * [simplify]: Simplified to: (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow y.im 6) (pow y.re 6))) (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* (pow y.re 3) y.re))) (sqrt (- (* (pow y.re 3) y.re) (* y.im (pow y.im 3)))) (sqrt (- (* y.re y.re) (* y.im y.im))) 1/2 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow y.im 6) (pow y.re 6))) (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* (pow y.re 3) y.re))) (sqrt (- (* (pow y.re 3) y.re) (* y.im (pow y.im 3)))) (sqrt (- (* y.re y.re) (* y.im y.im))) 1/2 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (log (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (log (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (log (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (log (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (exp (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (pow (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3) (pow (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3) (* (cbrt (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (pow (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3) (sqrt (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (pow (* x.im y.im) 3) (pow (* x.re y.re) 3)) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* (* y.im x.im) (- (* y.im x.im) (* y.re x.re))) (* (* x.re y.re) (* x.re y.re)))) (* (+ (* y.im x.im) (* y.re x.re)) (- (* x.re y.re) (* x.im y.im))) (* (- (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (* (cbrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (+ (* y.im x.im) (* y.re x.re))) (* (sqrt (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* y.re x.re))) (/ (+ (* y.im x.im) (* x.re y.re)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* y.im x.im) (* y.re x.re)) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* x.re y.re)) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* x.re y.re)) (/ (+ (* y.im x.im) (* x.re y.re)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* y.im x.im) (* y.re x.re)) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* x.re y.re)) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* x.re y.re)) (/ (+ (* y.im x.im) (* x.re y.re)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* y.im x.im) (* y.re x.re)) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* x.re y.re)) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* x.re y.re)) (+ (* y.im x.im) (* x.re y.re)) (+ (* y.im x.im) (* x.re y.re)) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (pow y.im 6) (pow y.re 6)))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (- (* (pow y.re 3) y.re) (* y.im (pow y.im 3))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re)) (/ (+ (pow (* x.im y.im) 3) (pow (* x.re y.re) 3)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (+ (* y.im x.im) (* y.re x.re)) (- (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (+ (* y.im x.im) (* y.re x.re))) (log (+ (* y.im x.im) (* y.re x.re))) (exp (+ (* y.im x.im) (* y.re x.re))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* y.im x.im) (* y.re x.re))) (pow (+ (* y.im x.im) (* x.re y.re)) 3) (sqrt (+ (* y.im x.im) (* y.re x.re))) (sqrt (+ (* y.im x.im) (* y.re x.re))) (+ (pow (* x.im y.im) 3) (pow (* x.re y.re) 3)) (+ (* (* y.im x.im) (- (* y.im x.im) (* y.re x.re))) (* (* x.re y.re) (* x.re y.re))) (* (+ (* y.im x.im) (* y.re x.re)) (- (* x.re y.re) (* x.im y.im))) (- (* y.re x.re) (* y.im x.im)) y.im y.re (- y.re) y.im y.re (- y.re) x.im x.re (- x.re) 0 (+ (* y.im x.im) (* x.re y.re)) (+ (* y.im x.im) (* x.re y.re)) 10.525 * * * [progress]: adding candidates to table 11.152 * [progress]: [Phase 3 of 3] Extracting. 11.152 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 11.155 * * * [regime-changes]: Trying 5 branch expressions: ((/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) y.im y.re x.im x.re) 11.155 * * * * [regimes]: Trying to branch on (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) from (# # # # # # # # #) 11.250 * * * * [regimes]: Trying to branch on (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) from (# #) 11.301 * * * * [regimes]: Trying to branch on y.im from (# # # # # # # # #) 11.374 * * * * [regimes]: Trying to branch on y.re from (# # # # # # # # #) 11.472 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # # #) 11.549 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # # #) 11.624 * * * [regime]: Found split indices: #