274.058 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.027 * [simplify]: Sending expressions to egg_math: (* (+ h1 h0) (+ h1 h0)) 0.137 * * [progress]: iteration 1 / 4 0.137 * * * [progress]: picking best candidate 0.139 * * * * [pick]: Picked # 0.139 * * * [progress]: localizing error 0.145 * * * [progress]: generating rewritten candidates 0.145 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.194 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.194 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.194 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.194 * [taylor]: Taking taylor expansion of (+ x y) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [backup-simplify]: Simplify x into x 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (+ x 0) into x 0.194 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.194 * [taylor]: Taking taylor expansion of (+ x y) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of y in x 0.195 * [backup-simplify]: Simplify y into y 0.195 * [backup-simplify]: Simplify (+ 0 y) into y 0.195 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.195 * [taylor]: Taking taylor expansion of (+ x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [backup-simplify]: Simplify y into y 0.195 * [backup-simplify]: Simplify (+ 0 y) into y 0.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.195 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.195 * [taylor]: Taking taylor expansion of 2 in y 0.196 * [backup-simplify]: Simplify 2 into 2 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 2 0) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.197 * [taylor]: Taking taylor expansion of 1 in y 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.197 * [backup-simplify]: Simplify 2 into 2 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.198 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.198 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.198 * [taylor]: Taking taylor expansion of y in y 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [backup-simplify]: Simplify x into x 0.199 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [backup-simplify]: Simplify y into y 0.199 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (+ 0 1) into 1 0.200 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [backup-simplify]: Simplify y into y 0.200 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (+ 0 1) into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of 1 in y 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.201 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.201 * [taylor]: Taking taylor expansion of 2 in y 0.201 * [backup-simplify]: Simplify 2 into 2 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 2 1) into 2 0.204 * [backup-simplify]: Simplify 2 into 2 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.204 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.205 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [backup-simplify]: Simplify x into x 0.205 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [backup-simplify]: Simplify y into y 0.205 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [backup-simplify]: Simplify (+ 0 1) into 1 0.206 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [backup-simplify]: Simplify y into y 0.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (+ 0 1) into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.208 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.208 * [taylor]: Taking taylor expansion of 2 in y 0.208 * [backup-simplify]: Simplify 2 into 2 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 2 1) into 2 0.210 * [backup-simplify]: Simplify 2 into 2 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.211 * * * [progress]: simplifying candidates 0.212 * [simplify]: Simplifying: (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.212 * [simplify]: Sending expressions to egg_math: (+ 1 1) (* (+ h1 h0) (+ h1 h0)) (+ 1 1) (+ (log (+ h1 h0)) (log (+ h1 h0))) (log (* (+ h1 h0) (+ h1 h0))) (exp (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* (+ h1 h0) (+ h1 h0))) (cbrt (* (+ h1 h0) (+ h1 h0)))) (cbrt (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0))) (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)) (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 2 1) (* (+ h1 h0) h1) (* (+ h1 h0) h0) (* h1 (+ h1 h0)) (* h0 (+ h1 h0)) (* (+ h1 h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (+ h1 h0) (sqrt (+ h1 h0))) (* (+ h1 h0) 1) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) (+ h1 h0)) (* (sqrt (+ h1 h0)) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ (pow h1 3) (pow h0 3))) (* (+ h1 h0) (- (* h1 h1) (* h0 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ h1 h0)) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) 0.735 * * * [progress]: adding candidates to table 0.799 * * [progress]: iteration 2 / 4 0.799 * * * [progress]: picking best candidate 0.802 * * * * [pick]: Picked # 0.802 * * * [progress]: localizing error 0.810 * * * [progress]: generating rewritten candidates 0.810 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.830 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.849 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.877 * * * [progress]: generating series expansions 0.877 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.878 * [backup-simplify]: Simplify (* x (+ x y)) into (* x (+ x y)) 0.878 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.878 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [backup-simplify]: Simplify x into x 0.878 * [taylor]: Taking taylor expansion of (+ x y) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [backup-simplify]: Simplify x into x 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of (+ x y) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of y in x 0.878 * [backup-simplify]: Simplify y into y 0.878 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of (+ x y) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of y in x 0.878 * [backup-simplify]: Simplify y into y 0.878 * [backup-simplify]: Simplify (+ 0 y) into y 0.878 * [backup-simplify]: Simplify (* 0 y) into 0 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.878 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (+ 1 0) into 1 0.880 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 0.880 * [taylor]: Taking taylor expansion of y in y 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 0.881 * [taylor]: Taking taylor expansion of 1 in y 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 0.885 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.885 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.885 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [backup-simplify]: Simplify x into x 0.885 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [backup-simplify]: Simplify x into x 0.886 * [backup-simplify]: Simplify (+ 1 0) into 1 0.886 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.886 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [backup-simplify]: Simplify y into y 0.886 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (+ 0 1) into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.887 * [backup-simplify]: Simplify y into y 0.887 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (/ 1 1) into 1 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (+ 0 1) into 1 0.888 * [backup-simplify]: Simplify (/ 1 1) into 1 0.888 * [taylor]: Taking taylor expansion of 1 in y 0.888 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.890 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.890 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.896 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 0.902 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.902 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.902 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (/ 1 1) into 1 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [backup-simplify]: Simplify x into x 0.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [backup-simplify]: Simplify x into x 0.903 * [backup-simplify]: Simplify (+ 1 0) into 1 0.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [backup-simplify]: Simplify y into y 0.904 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (+ 0 1) into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [backup-simplify]: Simplify y into y 0.905 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (+ 0 1) into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [taylor]: Taking taylor expansion of 1 in y 0.906 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.908 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ 1 1) into 1 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 0.920 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.920 * [backup-simplify]: Simplify (* y (+ x y)) into (* y (+ x y)) 0.920 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.921 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [backup-simplify]: Simplify y into y 0.921 * [taylor]: Taking taylor expansion of (+ x y) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [backup-simplify]: Simplify y into y 0.921 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of (+ x y) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [backup-simplify]: Simplify x into x 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of (+ x y) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [backup-simplify]: Simplify x into x 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (+ x 0) into x 0.921 * [backup-simplify]: Simplify (* 0 x) into 0 0.921 * [taylor]: Taking taylor expansion of 0 in x 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (+ 0 1) into 1 0.922 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 x))) into 1 0.924 * [taylor]: Taking taylor expansion of 1 in x 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0 0.925 * [taylor]: Taking taylor expansion of 0 in x 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 x))))) into 0 0.927 * [taylor]: Taking taylor expansion of 0 in x 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 0.928 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 0.928 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.928 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.928 * [backup-simplify]: Simplify y into y 0.928 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (/ 1 1) into 1 0.929 * [taylor]: Taking taylor expansion of y in x 0.929 * [backup-simplify]: Simplify y into y 0.929 * [backup-simplify]: Simplify (+ 0 1) into 1 0.929 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.929 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [backup-simplify]: Simplify x into x 0.930 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (+ 1 0) into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [backup-simplify]: Simplify x into x 0.931 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.931 * [taylor]: Taking taylor expansion of y in y 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (+ 1 0) into 1 0.932 * [backup-simplify]: Simplify (/ 1 1) into 1 0.932 * [taylor]: Taking taylor expansion of 1 in x 0.932 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.934 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (/ 1 1) into 1 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.936 * [taylor]: Taking taylor expansion of 0 in x 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [taylor]: Taking taylor expansion of 0 in x 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [taylor]: Taking taylor expansion of 0 in x 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 0.942 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) y) 0.942 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.942 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.942 * [taylor]: Taking taylor expansion of y in x 0.942 * [backup-simplify]: Simplify y into y 0.942 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ 1 1) into 1 0.942 * [taylor]: Taking taylor expansion of y in x 0.942 * [backup-simplify]: Simplify y into y 0.942 * [backup-simplify]: Simplify (+ 0 1) into 1 0.943 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.943 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [backup-simplify]: Simplify x into x 0.943 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (+ 1 0) into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.944 * [backup-simplify]: Simplify x into x 0.944 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.944 * [taylor]: Taking taylor expansion of y in y 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (+ 1 0) into 1 0.945 * [backup-simplify]: Simplify (/ 1 1) into 1 0.945 * [taylor]: Taking taylor expansion of 1 in x 0.945 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.946 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (/ 1 1) into 1 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.949 * [taylor]: Taking taylor expansion of 0 in x 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [taylor]: Taking taylor expansion of 0 in x 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.957 * [taylor]: Taking taylor expansion of 0 in x 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 0.957 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.957 * [backup-simplify]: Simplify (+ (* x (+ x y)) (* y (+ x y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.958 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.958 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [backup-simplify]: Simplify x into x 0.958 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.958 * [taylor]: Taking taylor expansion of 2 in y 0.958 * [backup-simplify]: Simplify 2 into 2 0.958 * [taylor]: Taking taylor expansion of (* x y) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [backup-simplify]: Simplify x into x 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.958 * [backup-simplify]: Simplify y into y 0.958 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.958 * [taylor]: Taking taylor expansion of 2 in x 0.958 * [backup-simplify]: Simplify 2 into 2 0.958 * [taylor]: Taking taylor expansion of (* x y) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [taylor]: Taking taylor expansion of y in x 0.958 * [backup-simplify]: Simplify y into y 0.958 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [backup-simplify]: Simplify y into y 0.959 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.959 * [taylor]: Taking taylor expansion of 2 in x 0.959 * [backup-simplify]: Simplify 2 into 2 0.959 * [taylor]: Taking taylor expansion of (* x y) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [backup-simplify]: Simplify y into y 0.959 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.959 * [backup-simplify]: Simplify (* 0 y) into 0 0.959 * [backup-simplify]: Simplify (* 2 0) into 0 0.960 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.960 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.961 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.961 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.961 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.961 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.961 * [taylor]: Taking taylor expansion of 2 in y 0.961 * [backup-simplify]: Simplify 2 into 2 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (* 2 0) into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify (* 1 1) into 1 0.962 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.964 * [backup-simplify]: Simplify (+ 1 0) into 1 0.965 * [taylor]: Taking taylor expansion of 1 in y 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.965 * [backup-simplify]: Simplify 2 into 2 0.966 * [backup-simplify]: Simplify (* 1 1) into 1 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.966 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (* (/ 1 y) (+ (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.967 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.967 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.967 * [taylor]: Taking taylor expansion of x in y 0.967 * [backup-simplify]: Simplify x into x 0.967 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.967 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (* 1 1) into 1 0.968 * [backup-simplify]: Simplify (/ 1 1) into 1 0.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.968 * [taylor]: Taking taylor expansion of 2 in y 0.968 * [backup-simplify]: Simplify 2 into 2 0.968 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.968 * [taylor]: Taking taylor expansion of (* x y) in y 0.968 * [taylor]: Taking taylor expansion of x in y 0.968 * [backup-simplify]: Simplify x into x 0.968 * [taylor]: Taking taylor expansion of y in y 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (* x 0) into 0 0.968 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.969 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [backup-simplify]: Simplify y into y 0.970 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.970 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.970 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.970 * [taylor]: Taking taylor expansion of 2 in x 0.970 * [backup-simplify]: Simplify 2 into 2 0.970 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.970 * [taylor]: Taking taylor expansion of (* x y) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [backup-simplify]: Simplify y into y 0.970 * [backup-simplify]: Simplify (* 0 y) into 0 0.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.971 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (* 1 1) into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [backup-simplify]: Simplify y into y 0.972 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.972 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.972 * [taylor]: Taking taylor expansion of 2 in x 0.972 * [backup-simplify]: Simplify 2 into 2 0.972 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.972 * [taylor]: Taking taylor expansion of (* x y) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [backup-simplify]: Simplify y into y 0.972 * [backup-simplify]: Simplify (* 0 y) into 0 0.973 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.973 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.973 * [backup-simplify]: Simplify (+ 1 0) into 1 0.973 * [taylor]: Taking taylor expansion of 1 in y 0.973 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.975 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.975 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.975 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.975 * [taylor]: Taking taylor expansion of 2 in y 0.975 * [backup-simplify]: Simplify 2 into 2 0.975 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.979 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.979 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.980 * [backup-simplify]: Simplify (/ 1 1) into 1 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (* 2 1) into 2 0.980 * [backup-simplify]: Simplify 2 into 2 0.980 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.981 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.981 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [backup-simplify]: Simplify x into x 0.982 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.982 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.983 * [taylor]: Taking taylor expansion of 2 in y 0.983 * [backup-simplify]: Simplify 2 into 2 0.983 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.983 * [taylor]: Taking taylor expansion of (* x y) in y 0.983 * [taylor]: Taking taylor expansion of x in y 0.983 * [backup-simplify]: Simplify x into x 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (* x 0) into 0 0.983 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.983 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify (* 1 1) into 1 0.984 * [backup-simplify]: Simplify (/ 1 1) into 1 0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [backup-simplify]: Simplify y into y 0.985 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.985 * [taylor]: Taking taylor expansion of 2 in x 0.985 * [backup-simplify]: Simplify 2 into 2 0.985 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.985 * [taylor]: Taking taylor expansion of (* x y) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [backup-simplify]: Simplify y into y 0.985 * [backup-simplify]: Simplify (* 0 y) into 0 0.985 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.985 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [backup-simplify]: Simplify (* 1 1) into 1 0.986 * [backup-simplify]: Simplify (/ 1 1) into 1 0.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.986 * [taylor]: Taking taylor expansion of y in x 0.986 * [backup-simplify]: Simplify y into y 0.986 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.987 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.987 * [taylor]: Taking taylor expansion of 2 in x 0.987 * [backup-simplify]: Simplify 2 into 2 0.987 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.987 * [taylor]: Taking taylor expansion of (* x y) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [backup-simplify]: Simplify y into y 0.987 * [backup-simplify]: Simplify (* 0 y) into 0 0.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.988 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.989 * [backup-simplify]: Simplify (+ 1 0) into 1 0.989 * [taylor]: Taking taylor expansion of 1 in y 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.990 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.990 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.990 * [taylor]: Taking taylor expansion of 2 in y 0.990 * [backup-simplify]: Simplify 2 into 2 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (/ 1 1) into 1 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.996 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.996 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.996 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (* 1 1) into 1 0.997 * [backup-simplify]: Simplify (/ 1 1) into 1 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (* 2 1) into 2 0.997 * [backup-simplify]: Simplify 2 into 2 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.997 * * * [progress]: simplifying candidates 0.998 * [simplify]: Simplifying: (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.999 * [simplify]: Sending expressions to egg_math: (* h1 (+ h1 h0)) (+ (log h1) (log (+ h1 h0))) (log (* h1 (+ h1 h0))) (exp (* h1 (+ h1 h0))) (* (* (* h1 h1) h1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h1 (+ h1 h0))) (cbrt (* h1 (+ h1 h0)))) (cbrt (* h1 (+ h1 h0))) (* (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* h1 (+ h1 h0))) (sqrt (* h1 (+ h1 h0))) (sqrt (* h1 (+ h1 h0))) (* (sqrt h1) (sqrt (+ h1 h0))) (* (sqrt h1) (sqrt (+ h1 h0))) (* h1 h1) (* h1 h0) (* h1 h1) (* h0 h1) (* h1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h1 (sqrt (+ h1 h0))) (* h1 1) (* h1 1) (* (cbrt h1) (+ h1 h0)) (* (sqrt h1) (+ h1 h0)) (* h1 (+ h1 h0)) (* h1 (+ (pow h1 3) (pow h0 3))) (* h1 (- (* h1 h1) (* h0 h0))) (* h0 (+ h1 h0)) (+ (log h0) (log (+ h1 h0))) (log (* h0 (+ h1 h0))) (exp (* h0 (+ h1 h0))) (* (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h0 (+ h1 h0))) (cbrt (* h0 (+ h1 h0)))) (cbrt (* h0 (+ h1 h0))) (* (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 h0) (* h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h0 (sqrt (+ h1 h0))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h1 h0)) (* (sqrt h0) (+ h1 h0)) (* h0 (+ h1 h0)) (* h0 (+ (pow h1 3) (pow h0 3))) (* h0 (- (* h1 h1) (* h0 h0))) (* (exp (* h1 (+ h1 h0))) (exp (* h0 (+ h1 h0)))) (log (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (exp (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (* (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0))))) (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (* (* (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0))) (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* h0 (+ (pow h1 3) (pow h0 3))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (- h1 h0)) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* h0 (- (* h1 h1) (* h0 h0))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (* h0 (+ (pow h1 3) (pow h0 3))))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (- h1 h0)) (* (- h1 h0) (* h0 (- (* h1 h1) (* h0 h0))))) (* (- h1 h0) (- h1 h0)) (+ (pow (* h1 (+ h1 h0)) 3) (pow (* h0 (+ h1 h0)) 3)) (+ (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (- (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* (* h1 (+ h1 h0)) (* h0 (+ h1 h0))))) (- (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0)))) (- (* h1 (+ h1 h0)) (* h0 (+ h1 h0))) (+ h1 h0) (+ (* h1 (+ h1 h0)) (* h0 h1)) (+ (* h1 (+ h1 h0)) (* h1 h0)) (+ (* h1 h0) (* h0 (+ h1 h0))) (+ (* h0 h1) (* h0 (+ h1 h0))) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) 2.000 * * * [progress]: adding candidates to table 2.141 * * [progress]: iteration 3 / 4 2.141 * * * [progress]: picking best candidate 2.145 * * * * [pick]: Picked # 2.145 * * * [progress]: localizing error 2.156 * * * [progress]: generating rewritten candidates 2.156 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 2.180 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.205 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.260 * * * [progress]: generating series expansions 2.260 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 2.261 * [backup-simplify]: Simplify (* 2 (* x y)) into (* 2 (* x y)) 2.261 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 2.261 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.261 * [taylor]: Taking taylor expansion of 2 in y 2.261 * [backup-simplify]: Simplify 2 into 2 2.261 * [taylor]: Taking taylor expansion of (* x y) in y 2.261 * [taylor]: Taking taylor expansion of x in y 2.261 * [backup-simplify]: Simplify x into x 2.261 * [taylor]: Taking taylor expansion of y in y 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.261 * [taylor]: Taking taylor expansion of 2 in x 2.261 * [backup-simplify]: Simplify 2 into 2 2.261 * [taylor]: Taking taylor expansion of (* x y) in x 2.261 * [taylor]: Taking taylor expansion of x in x 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [taylor]: Taking taylor expansion of y in x 2.261 * [backup-simplify]: Simplify y into y 2.261 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.261 * [taylor]: Taking taylor expansion of 2 in x 2.261 * [backup-simplify]: Simplify 2 into 2 2.261 * [taylor]: Taking taylor expansion of (* x y) in x 2.261 * [taylor]: Taking taylor expansion of x in x 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [taylor]: Taking taylor expansion of y in x 2.261 * [backup-simplify]: Simplify y into y 2.261 * [backup-simplify]: Simplify (* 0 y) into 0 2.262 * [backup-simplify]: Simplify (* 2 0) into 0 2.262 * [taylor]: Taking taylor expansion of 0 in y 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.263 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.263 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.263 * [taylor]: Taking taylor expansion of 2 in y 2.263 * [backup-simplify]: Simplify 2 into 2 2.263 * [taylor]: Taking taylor expansion of y in y 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [backup-simplify]: Simplify (* 2 0) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.265 * [taylor]: Taking taylor expansion of 0 in y 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.265 * [backup-simplify]: Simplify 2 into 2 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.267 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 2.267 * [taylor]: Taking taylor expansion of 0 in y 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 2.271 * [taylor]: Taking taylor expansion of 0 in y 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify (* 2 (* y x)) into (* 2 (* x y)) 2.271 * [backup-simplify]: Simplify (* 2 (* (/ 1 x) (/ 1 y))) into (/ 2 (* x y)) 2.271 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 2.271 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 2.271 * [taylor]: Taking taylor expansion of 2 in y 2.271 * [backup-simplify]: Simplify 2 into 2 2.271 * [taylor]: Taking taylor expansion of (* x y) in y 2.271 * [taylor]: Taking taylor expansion of x in y 2.271 * [backup-simplify]: Simplify x into x 2.271 * [taylor]: Taking taylor expansion of y in y 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (* x 0) into 0 2.272 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.272 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 2.272 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 2.272 * [taylor]: Taking taylor expansion of 2 in x 2.272 * [backup-simplify]: Simplify 2 into 2 2.272 * [taylor]: Taking taylor expansion of (* x y) in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [taylor]: Taking taylor expansion of y in x 2.272 * [backup-simplify]: Simplify y into y 2.272 * [backup-simplify]: Simplify (* 0 y) into 0 2.272 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.272 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.272 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 2.272 * [taylor]: Taking taylor expansion of 2 in x 2.272 * [backup-simplify]: Simplify 2 into 2 2.272 * [taylor]: Taking taylor expansion of (* x y) in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.272 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [taylor]: Taking taylor expansion of y in x 2.273 * [backup-simplify]: Simplify y into y 2.273 * [backup-simplify]: Simplify (* 0 y) into 0 2.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.273 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.273 * [taylor]: Taking taylor expansion of (/ 2 y) in y 2.273 * [taylor]: Taking taylor expansion of 2 in y 2.273 * [backup-simplify]: Simplify 2 into 2 2.273 * [taylor]: Taking taylor expansion of y in y 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (/ 2 1) into 2 2.274 * [backup-simplify]: Simplify 2 into 2 2.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.274 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 2.274 * [taylor]: Taking taylor expansion of 0 in y 2.274 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.277 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.277 * [taylor]: Taking taylor expansion of 0 in y 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.279 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.279 * [taylor]: Taking taylor expansion of 0 in y 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 2 (* x y)) 2.280 * [backup-simplify]: Simplify (* 2 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 2 (* x y)) 2.280 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 2.280 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 2.280 * [taylor]: Taking taylor expansion of 2 in y 2.281 * [backup-simplify]: Simplify 2 into 2 2.281 * [taylor]: Taking taylor expansion of (* x y) in y 2.281 * [taylor]: Taking taylor expansion of x in y 2.281 * [backup-simplify]: Simplify x into x 2.281 * [taylor]: Taking taylor expansion of y in y 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (* x 0) into 0 2.281 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.281 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 2.281 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 2.281 * [taylor]: Taking taylor expansion of 2 in x 2.281 * [backup-simplify]: Simplify 2 into 2 2.281 * [taylor]: Taking taylor expansion of (* x y) in x 2.281 * [taylor]: Taking taylor expansion of x in x 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [taylor]: Taking taylor expansion of y in x 2.281 * [backup-simplify]: Simplify y into y 2.281 * [backup-simplify]: Simplify (* 0 y) into 0 2.282 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.282 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.282 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 2.282 * [taylor]: Taking taylor expansion of 2 in x 2.282 * [backup-simplify]: Simplify 2 into 2 2.282 * [taylor]: Taking taylor expansion of (* x y) in x 2.282 * [taylor]: Taking taylor expansion of x in x 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [taylor]: Taking taylor expansion of y in x 2.282 * [backup-simplify]: Simplify y into y 2.282 * [backup-simplify]: Simplify (* 0 y) into 0 2.283 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.283 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.283 * [taylor]: Taking taylor expansion of (/ 2 y) in y 2.283 * [taylor]: Taking taylor expansion of 2 in y 2.283 * [backup-simplify]: Simplify 2 into 2 2.283 * [taylor]: Taking taylor expansion of y in y 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (/ 2 1) into 2 2.283 * [backup-simplify]: Simplify 2 into 2 2.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.284 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 2.284 * [taylor]: Taking taylor expansion of 0 in y 2.284 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.286 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.286 * [taylor]: Taking taylor expansion of 0 in y 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.288 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.288 * [taylor]: Taking taylor expansion of 0 in y 2.288 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 2 (* x y)) 2.293 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.293 * [backup-simplify]: Simplify (+ (pow y 2) (* 2 (* x y))) into (+ (pow y 2) (* 2 (* x y))) 2.293 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (y x) around 0 2.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.293 * [taylor]: Taking taylor expansion of y in x 2.293 * [backup-simplify]: Simplify y into y 2.293 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.293 * [taylor]: Taking taylor expansion of 2 in x 2.293 * [backup-simplify]: Simplify 2 into 2 2.293 * [taylor]: Taking taylor expansion of (* x y) in x 2.293 * [taylor]: Taking taylor expansion of x in x 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [taylor]: Taking taylor expansion of y in x 2.293 * [backup-simplify]: Simplify y into y 2.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.293 * [taylor]: Taking taylor expansion of y in y 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.293 * [taylor]: Taking taylor expansion of 2 in y 2.293 * [backup-simplify]: Simplify 2 into 2 2.293 * [taylor]: Taking taylor expansion of (* x y) in y 2.294 * [taylor]: Taking taylor expansion of x in y 2.294 * [backup-simplify]: Simplify x into x 2.294 * [taylor]: Taking taylor expansion of y in y 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.294 * [taylor]: Taking taylor expansion of y in y 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.294 * [taylor]: Taking taylor expansion of 2 in y 2.294 * [backup-simplify]: Simplify 2 into 2 2.294 * [taylor]: Taking taylor expansion of (* x y) in y 2.294 * [taylor]: Taking taylor expansion of x in y 2.294 * [backup-simplify]: Simplify x into x 2.294 * [taylor]: Taking taylor expansion of y in y 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (* x 0) into 0 2.294 * [backup-simplify]: Simplify (* 2 0) into 0 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.295 * [taylor]: Taking taylor expansion of 0 in x 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.296 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 2.296 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 2.296 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.296 * [taylor]: Taking taylor expansion of 2 in x 2.296 * [backup-simplify]: Simplify 2 into 2 2.296 * [taylor]: Taking taylor expansion of x in x 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (* 2 0) into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (* 1 1) into 1 2.297 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 2.298 * [backup-simplify]: Simplify (+ 1 0) into 1 2.298 * [taylor]: Taking taylor expansion of 1 in x 2.298 * [backup-simplify]: Simplify 1 into 1 2.298 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.299 * [backup-simplify]: Simplify 2 into 2 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.300 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [taylor]: Taking taylor expansion of 0 in x 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.304 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0))))) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [taylor]: Taking taylor expansion of 0 in x 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 2.306 * [backup-simplify]: Simplify (+ (pow (/ 1 y) 2) (* 2 (* (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 2.306 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 2.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.306 * [taylor]: Taking taylor expansion of y in x 2.306 * [backup-simplify]: Simplify y into y 2.306 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.306 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.306 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.306 * [taylor]: Taking taylor expansion of 2 in x 2.306 * [backup-simplify]: Simplify 2 into 2 2.306 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.306 * [taylor]: Taking taylor expansion of (* x y) in x 2.306 * [taylor]: Taking taylor expansion of x in x 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of y in x 2.306 * [backup-simplify]: Simplify y into y 2.306 * [backup-simplify]: Simplify (* 0 y) into 0 2.307 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.307 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.307 * [taylor]: Taking taylor expansion of y in y 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.307 * [backup-simplify]: Simplify (* 1 1) into 1 2.308 * [backup-simplify]: Simplify (/ 1 1) into 1 2.308 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.308 * [taylor]: Taking taylor expansion of 2 in y 2.308 * [backup-simplify]: Simplify 2 into 2 2.308 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.308 * [taylor]: Taking taylor expansion of (* x y) in y 2.308 * [taylor]: Taking taylor expansion of x in y 2.308 * [backup-simplify]: Simplify x into x 2.308 * [taylor]: Taking taylor expansion of y in y 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (* x 0) into 0 2.308 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.308 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.308 * [taylor]: Taking taylor expansion of y in y 2.308 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.309 * [backup-simplify]: Simplify (* 1 1) into 1 2.309 * [backup-simplify]: Simplify (/ 1 1) into 1 2.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.309 * [taylor]: Taking taylor expansion of 2 in y 2.309 * [backup-simplify]: Simplify 2 into 2 2.309 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.309 * [taylor]: Taking taylor expansion of (* x y) in y 2.309 * [taylor]: Taking taylor expansion of x in y 2.309 * [backup-simplify]: Simplify x into x 2.309 * [taylor]: Taking taylor expansion of y in y 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.309 * [backup-simplify]: Simplify (* x 0) into 0 2.310 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.310 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.310 * [backup-simplify]: Simplify (+ 1 0) into 1 2.310 * [taylor]: Taking taylor expansion of 1 in x 2.310 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.312 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.312 * [taylor]: Taking taylor expansion of 2 in x 2.312 * [backup-simplify]: Simplify 2 into 2 2.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.312 * [taylor]: Taking taylor expansion of x in x 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [backup-simplify]: Simplify (* 2 1) into 2 2.312 * [backup-simplify]: Simplify 2 into 2 2.312 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.315 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.315 * [backup-simplify]: Simplify (+ 0 0) into 0 2.315 * [taylor]: Taking taylor expansion of 0 in x 2.315 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.320 * [backup-simplify]: Simplify (+ 0 0) into 0 2.320 * [taylor]: Taking taylor expansion of 0 in x 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [taylor]: Taking taylor expansion of 0 in x 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 2.326 * [backup-simplify]: Simplify (+ (pow (/ 1 (- y)) 2) (* 2 (* (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 2.326 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 2.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.327 * [taylor]: Taking taylor expansion of y in x 2.327 * [backup-simplify]: Simplify y into y 2.327 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.327 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.327 * [taylor]: Taking taylor expansion of 2 in x 2.327 * [backup-simplify]: Simplify 2 into 2 2.327 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.327 * [taylor]: Taking taylor expansion of (* x y) in x 2.327 * [taylor]: Taking taylor expansion of x in x 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [taylor]: Taking taylor expansion of y in x 2.327 * [backup-simplify]: Simplify y into y 2.327 * [backup-simplify]: Simplify (* 0 y) into 0 2.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.327 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.328 * [taylor]: Taking taylor expansion of y in y 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [backup-simplify]: Simplify (* 1 1) into 1 2.328 * [backup-simplify]: Simplify (/ 1 1) into 1 2.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.328 * [taylor]: Taking taylor expansion of 2 in y 2.328 * [backup-simplify]: Simplify 2 into 2 2.328 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.328 * [taylor]: Taking taylor expansion of (* x y) in y 2.328 * [taylor]: Taking taylor expansion of x in y 2.328 * [backup-simplify]: Simplify x into x 2.328 * [taylor]: Taking taylor expansion of y in y 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (* x 0) into 0 2.329 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.329 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.329 * [taylor]: Taking taylor expansion of y in y 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (* 1 1) into 1 2.330 * [backup-simplify]: Simplify (/ 1 1) into 1 2.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.330 * [taylor]: Taking taylor expansion of 2 in y 2.330 * [backup-simplify]: Simplify 2 into 2 2.330 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.330 * [taylor]: Taking taylor expansion of (* x y) in y 2.330 * [taylor]: Taking taylor expansion of x in y 2.330 * [backup-simplify]: Simplify x into x 2.330 * [taylor]: Taking taylor expansion of y in y 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (* x 0) into 0 2.331 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.331 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.331 * [backup-simplify]: Simplify (+ 1 0) into 1 2.331 * [taylor]: Taking taylor expansion of 1 in x 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 2.333 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 2.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.333 * [taylor]: Taking taylor expansion of 2 in x 2.333 * [backup-simplify]: Simplify 2 into 2 2.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (/ 1 1) into 1 2.333 * [backup-simplify]: Simplify (* 2 1) into 2 2.333 * [backup-simplify]: Simplify 2 into 2 2.333 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 2.336 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [taylor]: Taking taylor expansion of 0 in x 2.336 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.341 * [taylor]: Taking taylor expansion of 0 in x 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.346 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [taylor]: Taking taylor expansion of 0 in x 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 2.347 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.347 * [backup-simplify]: Simplify (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.347 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 2.347 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.347 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.347 * [taylor]: Taking taylor expansion of x in y 2.347 * [backup-simplify]: Simplify x into x 2.347 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.348 * [taylor]: Taking taylor expansion of y in y 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.348 * [taylor]: Taking taylor expansion of 2 in y 2.348 * [backup-simplify]: Simplify 2 into 2 2.348 * [taylor]: Taking taylor expansion of (* x y) in y 2.348 * [taylor]: Taking taylor expansion of x in y 2.348 * [backup-simplify]: Simplify x into x 2.348 * [taylor]: Taking taylor expansion of y in y 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.348 * [taylor]: Taking taylor expansion of y in x 2.348 * [backup-simplify]: Simplify y into y 2.348 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.348 * [taylor]: Taking taylor expansion of 2 in x 2.348 * [backup-simplify]: Simplify 2 into 2 2.348 * [taylor]: Taking taylor expansion of (* x y) in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of y in x 2.348 * [backup-simplify]: Simplify y into y 2.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.348 * [taylor]: Taking taylor expansion of y in x 2.348 * [backup-simplify]: Simplify y into y 2.348 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.348 * [taylor]: Taking taylor expansion of 2 in x 2.349 * [backup-simplify]: Simplify 2 into 2 2.349 * [taylor]: Taking taylor expansion of (* x y) in x 2.349 * [taylor]: Taking taylor expansion of x in x 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [taylor]: Taking taylor expansion of y in x 2.349 * [backup-simplify]: Simplify y into y 2.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.349 * [backup-simplify]: Simplify (* 0 y) into 0 2.349 * [backup-simplify]: Simplify (* 2 0) into 0 2.349 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.349 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.350 * [taylor]: Taking taylor expansion of y in y 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.350 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.350 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.350 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.351 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.351 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.351 * [taylor]: Taking taylor expansion of 2 in y 2.351 * [backup-simplify]: Simplify 2 into 2 2.351 * [taylor]: Taking taylor expansion of y in y 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (* 2 0) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify (* 1 1) into 1 2.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.354 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify (+ 1 0) into 1 2.354 * [taylor]: Taking taylor expansion of 1 in y 2.354 * [backup-simplify]: Simplify 1 into 1 2.354 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.355 * [backup-simplify]: Simplify 2 into 2 2.355 * [backup-simplify]: Simplify (* 1 1) into 1 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.356 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 2) (+ (pow (/ 1 y) 2) (* 2 (* (/ 1 x) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.356 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.356 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.356 * [taylor]: Taking taylor expansion of x in y 2.356 * [backup-simplify]: Simplify x into x 2.356 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.356 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.356 * [taylor]: Taking taylor expansion of y in y 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (* 1 1) into 1 2.357 * [backup-simplify]: Simplify (/ 1 1) into 1 2.357 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.357 * [taylor]: Taking taylor expansion of 2 in y 2.357 * [backup-simplify]: Simplify 2 into 2 2.357 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.357 * [taylor]: Taking taylor expansion of (* x y) in y 2.357 * [taylor]: Taking taylor expansion of x in y 2.357 * [backup-simplify]: Simplify x into x 2.357 * [taylor]: Taking taylor expansion of y in y 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (* x 0) into 0 2.358 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.358 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (* 1 1) into 1 2.359 * [backup-simplify]: Simplify (/ 1 1) into 1 2.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.359 * [taylor]: Taking taylor expansion of y in x 2.359 * [backup-simplify]: Simplify y into y 2.359 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.359 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.359 * [taylor]: Taking taylor expansion of 2 in x 2.359 * [backup-simplify]: Simplify 2 into 2 2.359 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.359 * [taylor]: Taking taylor expansion of (* x y) in x 2.359 * [taylor]: Taking taylor expansion of x in x 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [taylor]: Taking taylor expansion of y in x 2.359 * [backup-simplify]: Simplify y into y 2.359 * [backup-simplify]: Simplify (* 0 y) into 0 2.360 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.360 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (* 1 1) into 1 2.361 * [backup-simplify]: Simplify (/ 1 1) into 1 2.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.361 * [taylor]: Taking taylor expansion of y in x 2.361 * [backup-simplify]: Simplify y into y 2.361 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.361 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.361 * [taylor]: Taking taylor expansion of 2 in x 2.361 * [backup-simplify]: Simplify 2 into 2 2.361 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.361 * [taylor]: Taking taylor expansion of (* x y) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [taylor]: Taking taylor expansion of y in x 2.361 * [backup-simplify]: Simplify y into y 2.361 * [backup-simplify]: Simplify (* 0 y) into 0 2.361 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.362 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.362 * [backup-simplify]: Simplify (+ 1 0) into 1 2.362 * [taylor]: Taking taylor expansion of 1 in y 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.363 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.363 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.363 * [taylor]: Taking taylor expansion of 2 in y 2.363 * [backup-simplify]: Simplify 2 into 2 2.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.363 * [taylor]: Taking taylor expansion of y in y 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [backup-simplify]: Simplify (/ 1 1) into 1 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.365 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.365 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.365 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.365 * [taylor]: Taking taylor expansion of y in y 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (* 1 1) into 1 2.366 * [backup-simplify]: Simplify (/ 1 1) into 1 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (* 2 1) into 2 2.366 * [backup-simplify]: Simplify 2 into 2 2.366 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.367 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 2) (+ (pow (/ 1 (- y)) 2) (* 2 (* (/ 1 (- x)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.367 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.367 * [taylor]: Taking taylor expansion of x in y 2.367 * [backup-simplify]: Simplify x into x 2.367 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.367 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.367 * [taylor]: Taking taylor expansion of y in y 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.368 * [backup-simplify]: Simplify (* 1 1) into 1 2.368 * [backup-simplify]: Simplify (/ 1 1) into 1 2.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.368 * [taylor]: Taking taylor expansion of 2 in y 2.368 * [backup-simplify]: Simplify 2 into 2 2.368 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.368 * [taylor]: Taking taylor expansion of (* x y) in y 2.368 * [taylor]: Taking taylor expansion of x in y 2.368 * [backup-simplify]: Simplify x into x 2.368 * [taylor]: Taking taylor expansion of y in y 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.368 * [backup-simplify]: Simplify (* x 0) into 0 2.368 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.368 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (* 1 1) into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.369 * [taylor]: Taking taylor expansion of y in x 2.369 * [backup-simplify]: Simplify y into y 2.369 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.369 * [taylor]: Taking taylor expansion of 2 in x 2.369 * [backup-simplify]: Simplify 2 into 2 2.369 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.369 * [taylor]: Taking taylor expansion of (* x y) in x 2.369 * [taylor]: Taking taylor expansion of x in x 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [taylor]: Taking taylor expansion of y in x 2.369 * [backup-simplify]: Simplify y into y 2.369 * [backup-simplify]: Simplify (* 0 y) into 0 2.370 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.370 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.370 * [taylor]: Taking taylor expansion of x in x 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 1 into 1 2.370 * [backup-simplify]: Simplify (* 1 1) into 1 2.370 * [backup-simplify]: Simplify (/ 1 1) into 1 2.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.370 * [taylor]: Taking taylor expansion of y in x 2.370 * [backup-simplify]: Simplify y into y 2.370 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.370 * [taylor]: Taking taylor expansion of 2 in x 2.370 * [backup-simplify]: Simplify 2 into 2 2.370 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.370 * [taylor]: Taking taylor expansion of (* x y) in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [taylor]: Taking taylor expansion of y in x 2.371 * [backup-simplify]: Simplify y into y 2.371 * [backup-simplify]: Simplify (* 0 y) into 0 2.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.371 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.371 * [backup-simplify]: Simplify (+ 1 0) into 1 2.371 * [taylor]: Taking taylor expansion of 1 in y 2.371 * [backup-simplify]: Simplify 1 into 1 2.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.372 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.372 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.372 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.372 * [taylor]: Taking taylor expansion of 2 in y 2.372 * [backup-simplify]: Simplify 2 into 2 2.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.372 * [taylor]: Taking taylor expansion of y in y 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (/ 1 1) into 1 2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.374 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.375 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.375 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.375 * [taylor]: Taking taylor expansion of y in y 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (* 1 1) into 1 2.375 * [backup-simplify]: Simplify (/ 1 1) into 1 2.375 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (* 2 1) into 2 2.376 * [backup-simplify]: Simplify 2 into 2 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.376 * * * [progress]: simplifying candidates 2.377 * [simplify]: Simplifying: (* 2 (* x y)) (* 2 (* x y)) (+ (log 2) (+ (log x) (log y))) (+ (log 2) (log (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* (* (* 2 2) 2) (* (* (* x x) x) (* (* y y) y))) (* (* (* 2 2) 2) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* 2 (* x y)) (* 2 (* x y))) (* 2 (* x y))) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (* (exp (pow y 2)) (exp (* 2 (* x y)))) (log (+ (pow y 2) (* 2 (* x y)))) (exp (+ (pow y 2) (* 2 (* x y)))) (* (cbrt (+ (pow y 2) (* 2 (* x y)))) (cbrt (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow y 2) (* 2 (* x y)))) (* (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y)))) (sqrt (+ (pow y 2) (* 2 (* x y)))) (sqrt (+ (pow y 2) (* 2 (* x y)))) (+ (pow (pow y 2) 3) (pow (* 2 (* x y)) 3)) (+ (* (pow y 2) (pow y 2)) (- (* (* 2 (* x y)) (* 2 (* x y))) (* (pow y 2) (* 2 (* x y))))) (- (* (pow y 2) (pow y 2)) (* (* 2 (* x y)) (* 2 (* x y)))) (- (pow y 2) (* 2 (* x y))) (* (exp (pow x 2)) (* (exp (pow y 2)) (exp (* 2 (* x y))))) (* (exp (pow x 2)) (exp (+ (pow y 2) (* 2 (* x y))))) (log (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (* (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow (pow x 2) 3) (pow (+ (pow y 2) (* 2 (* x y))) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y)))) (* (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (- (* (pow x 2) (pow x 2)) (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))))) (- (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (pow y 2)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.377 * [simplify]: Sending expressions to egg_math: (* 2 (* h1 h0)) (* 2 (* h1 h0)) (+ (log 2) (+ (log h1) (log h0))) (+ (log 2) (log (* h1 h0))) (log (* 2 (* h1 h0))) (exp (* 2 (* h1 h0))) (* (* (* 2 2) 2) (* (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* 2 2) 2) (* (* (* h1 h0) (* h1 h0)) (* h1 h0))) (* (cbrt (* 2 (* h1 h0))) (cbrt (* 2 (* h1 h0)))) (cbrt (* 2 (* h1 h0))) (* (* (* 2 (* h1 h0)) (* 2 (* h1 h0))) (* 2 (* h1 h0))) (sqrt (* 2 (* h1 h0))) (sqrt (* 2 (* h1 h0))) (* 2 h1) (* (cbrt 2) (* h1 h0)) (* (sqrt 2) (* h1 h0)) (* 2 (* h1 h0)) (* (exp (pow h0 2)) (exp (* 2 (* h1 h0)))) (log (+ (pow h0 2) (* 2 (* h1 h0)))) (exp (+ (pow h0 2) (* 2 (* h1 h0)))) (* (cbrt (+ (pow h0 2) (* 2 (* h1 h0)))) (cbrt (+ (pow h0 2) (* 2 (* h1 h0))))) (cbrt (+ (pow h0 2) (* 2 (* h1 h0)))) (* (* (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h0 2) (* 2 (* h1 h0)))) (sqrt (+ (pow h0 2) (* 2 (* h1 h0)))) (sqrt (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow (pow h0 2) 3) (pow (* 2 (* h1 h0)) 3)) (+ (* (pow h0 2) (pow h0 2)) (- (* (* 2 (* h1 h0)) (* 2 (* h1 h0))) (* (pow h0 2) (* 2 (* h1 h0))))) (- (* (pow h0 2) (pow h0 2)) (* (* 2 (* h1 h0)) (* 2 (* h1 h0)))) (- (pow h0 2) (* 2 (* h1 h0))) (* (exp (pow h1 2)) (* (exp (pow h0 2)) (exp (* 2 (* h1 h0))))) (* (exp (pow h1 2)) (exp (+ (pow h0 2) (* 2 (* h1 h0))))) (log (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (exp (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (* (cbrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (cbrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))))) (cbrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (* (* (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (sqrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (sqrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (+ (pow (pow h1 2) 3) (pow (+ (pow h0 2) (* 2 (* h1 h0))) 3)) (+ (* (pow h1 2) (pow h1 2)) (- (* (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0)))) (* (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))))) (- (* (pow h1 2) (pow h1 2)) (* (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))))) (- (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) 2.853 * * * [progress]: adding candidates to table 2.980 * * [progress]: iteration 4 / 4 2.980 * * * [progress]: picking best candidate 2.982 * * * * [pick]: Picked # 2.982 * * * [progress]: localizing error 2.993 * * * [progress]: generating rewritten candidates 2.993 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.016 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.053 * * * [progress]: generating series expansions 3.053 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.053 * [backup-simplify]: Simplify (+ (pow x 2) (* y (+ (* 2 x) y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.053 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 3.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.053 * [taylor]: Taking taylor expansion of x in y 3.053 * [backup-simplify]: Simplify x into x 3.053 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.053 * [taylor]: Taking taylor expansion of y in y 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.053 * [taylor]: Taking taylor expansion of 2 in y 3.053 * [backup-simplify]: Simplify 2 into 2 3.053 * [taylor]: Taking taylor expansion of (* x y) in y 3.053 * [taylor]: Taking taylor expansion of x in y 3.053 * [backup-simplify]: Simplify x into x 3.053 * [taylor]: Taking taylor expansion of y in y 3.053 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.054 * [taylor]: Taking taylor expansion of y in x 3.054 * [backup-simplify]: Simplify y into y 3.054 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.054 * [taylor]: Taking taylor expansion of 2 in x 3.054 * [backup-simplify]: Simplify 2 into 2 3.054 * [taylor]: Taking taylor expansion of (* x y) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of y in x 3.054 * [backup-simplify]: Simplify y into y 3.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.054 * [taylor]: Taking taylor expansion of y in x 3.054 * [backup-simplify]: Simplify y into y 3.054 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.054 * [taylor]: Taking taylor expansion of 2 in x 3.054 * [backup-simplify]: Simplify 2 into 2 3.054 * [taylor]: Taking taylor expansion of (* x y) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of y in x 3.054 * [backup-simplify]: Simplify y into y 3.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.055 * [backup-simplify]: Simplify (* 0 y) into 0 3.055 * [backup-simplify]: Simplify (* 2 0) into 0 3.055 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.055 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.055 * [taylor]: Taking taylor expansion of y in y 3.055 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.056 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.056 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 3.056 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.056 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.056 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.057 * [taylor]: Taking taylor expansion of 2 in y 3.057 * [backup-simplify]: Simplify 2 into 2 3.057 * [taylor]: Taking taylor expansion of y in y 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (* 2 0) into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify (* 1 1) into 1 3.058 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (+ 1 0) into 1 3.060 * [taylor]: Taking taylor expansion of 1 in y 3.060 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.060 * [backup-simplify]: Simplify 2 into 2 3.060 * [backup-simplify]: Simplify (* 1 1) into 1 3.060 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.061 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 2) (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.061 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 3.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.061 * [taylor]: Taking taylor expansion of x in y 3.061 * [backup-simplify]: Simplify x into x 3.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.062 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.062 * [taylor]: Taking taylor expansion of y in y 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [backup-simplify]: Simplify (* 1 1) into 1 3.062 * [backup-simplify]: Simplify (/ 1 1) into 1 3.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.062 * [taylor]: Taking taylor expansion of 2 in y 3.062 * [backup-simplify]: Simplify 2 into 2 3.062 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.062 * [taylor]: Taking taylor expansion of (* x y) in y 3.062 * [taylor]: Taking taylor expansion of x in y 3.062 * [backup-simplify]: Simplify x into x 3.062 * [taylor]: Taking taylor expansion of y in y 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (* x 0) into 0 3.063 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.063 * [taylor]: Taking taylor expansion of x in x 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (* 1 1) into 1 3.064 * [backup-simplify]: Simplify (/ 1 1) into 1 3.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.064 * [taylor]: Taking taylor expansion of y in x 3.064 * [backup-simplify]: Simplify y into y 3.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.064 * [taylor]: Taking taylor expansion of 2 in x 3.064 * [backup-simplify]: Simplify 2 into 2 3.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.064 * [taylor]: Taking taylor expansion of (* x y) in x 3.064 * [taylor]: Taking taylor expansion of x in x 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [taylor]: Taking taylor expansion of y in x 3.064 * [backup-simplify]: Simplify y into y 3.064 * [backup-simplify]: Simplify (* 0 y) into 0 3.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.065 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.065 * [taylor]: Taking taylor expansion of x in x 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (* 1 1) into 1 3.065 * [backup-simplify]: Simplify (/ 1 1) into 1 3.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.066 * [taylor]: Taking taylor expansion of y in x 3.066 * [backup-simplify]: Simplify y into y 3.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.066 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.066 * [taylor]: Taking taylor expansion of 2 in x 3.066 * [backup-simplify]: Simplify 2 into 2 3.066 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.066 * [taylor]: Taking taylor expansion of (* x y) in x 3.066 * [taylor]: Taking taylor expansion of x in x 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [taylor]: Taking taylor expansion of y in x 3.066 * [backup-simplify]: Simplify y into y 3.066 * [backup-simplify]: Simplify (* 0 y) into 0 3.066 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.067 * [backup-simplify]: Simplify (+ 1 0) into 1 3.067 * [taylor]: Taking taylor expansion of 1 in y 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.068 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.068 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 3.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.068 * [taylor]: Taking taylor expansion of 2 in y 3.068 * [backup-simplify]: Simplify 2 into 2 3.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.068 * [taylor]: Taking taylor expansion of y in y 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [backup-simplify]: Simplify (/ 1 1) into 1 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.071 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.071 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.072 * [taylor]: Taking taylor expansion of y in y 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.072 * [backup-simplify]: Simplify (* 1 1) into 1 3.072 * [backup-simplify]: Simplify (/ 1 1) into 1 3.072 * [backup-simplify]: Simplify 1 into 1 3.073 * [backup-simplify]: Simplify (* 2 1) into 2 3.073 * [backup-simplify]: Simplify 2 into 2 3.073 * [backup-simplify]: Simplify 1 into 1 3.073 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.074 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 2) (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.074 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 3.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.074 * [taylor]: Taking taylor expansion of x in y 3.074 * [backup-simplify]: Simplify x into x 3.074 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.074 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.074 * [taylor]: Taking taylor expansion of y in y 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.075 * [taylor]: Taking taylor expansion of 2 in y 3.075 * [backup-simplify]: Simplify 2 into 2 3.075 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.075 * [taylor]: Taking taylor expansion of (* x y) in y 3.075 * [taylor]: Taking taylor expansion of x in y 3.075 * [backup-simplify]: Simplify x into x 3.075 * [taylor]: Taking taylor expansion of y in y 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (* x 0) into 0 3.075 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.075 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.075 * [taylor]: Taking taylor expansion of x in x 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (* 1 1) into 1 3.076 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.076 * [taylor]: Taking taylor expansion of y in x 3.076 * [backup-simplify]: Simplify y into y 3.076 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.076 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.076 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.076 * [taylor]: Taking taylor expansion of 2 in x 3.076 * [backup-simplify]: Simplify 2 into 2 3.076 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.076 * [taylor]: Taking taylor expansion of (* x y) in x 3.076 * [taylor]: Taking taylor expansion of x in x 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 1 into 1 3.077 * [taylor]: Taking taylor expansion of y in x 3.077 * [backup-simplify]: Simplify y into y 3.077 * [backup-simplify]: Simplify (* 0 y) into 0 3.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.077 * [taylor]: Taking taylor expansion of x in x 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.077 * [backup-simplify]: Simplify (* 1 1) into 1 3.078 * [backup-simplify]: Simplify (/ 1 1) into 1 3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.078 * [taylor]: Taking taylor expansion of y in x 3.078 * [backup-simplify]: Simplify y into y 3.078 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.078 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.078 * [taylor]: Taking taylor expansion of 2 in x 3.078 * [backup-simplify]: Simplify 2 into 2 3.078 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.078 * [taylor]: Taking taylor expansion of (* x y) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [taylor]: Taking taylor expansion of y in x 3.078 * [backup-simplify]: Simplify y into y 3.078 * [backup-simplify]: Simplify (* 0 y) into 0 3.079 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.079 * [backup-simplify]: Simplify (+ 1 0) into 1 3.079 * [taylor]: Taking taylor expansion of 1 in y 3.079 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.080 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.080 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 3.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.080 * [taylor]: Taking taylor expansion of 2 in y 3.080 * [backup-simplify]: Simplify 2 into 2 3.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.080 * [taylor]: Taking taylor expansion of y in y 3.080 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.083 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.084 * [taylor]: Taking taylor expansion of y in y 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (* 1 1) into 1 3.084 * [backup-simplify]: Simplify (/ 1 1) into 1 3.084 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (* 2 1) into 2 3.085 * [backup-simplify]: Simplify 2 into 2 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.085 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.085 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y) 3.085 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 3.085 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 3.086 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.086 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.086 * [taylor]: Taking taylor expansion of 2 in x 3.086 * [backup-simplify]: Simplify 2 into 2 3.086 * [taylor]: Taking taylor expansion of x in x 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of y in x 3.086 * [backup-simplify]: Simplify y into y 3.086 * [taylor]: Taking taylor expansion of y in x 3.086 * [backup-simplify]: Simplify y into y 3.086 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 3.086 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.086 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.086 * [taylor]: Taking taylor expansion of 2 in y 3.086 * [backup-simplify]: Simplify 2 into 2 3.086 * [taylor]: Taking taylor expansion of x in y 3.086 * [backup-simplify]: Simplify x into x 3.086 * [taylor]: Taking taylor expansion of y in y 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of y in y 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 3.086 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.086 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.086 * [taylor]: Taking taylor expansion of 2 in y 3.086 * [backup-simplify]: Simplify 2 into 2 3.086 * [taylor]: Taking taylor expansion of x in y 3.086 * [backup-simplify]: Simplify x into x 3.086 * [taylor]: Taking taylor expansion of y in y 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of y in y 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 3.086 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 3.086 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 3.087 * [taylor]: Taking taylor expansion of 0 in x 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 3.087 * [backup-simplify]: Simplify (+ 0 1) into 1 3.088 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 3.088 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.088 * [taylor]: Taking taylor expansion of 2 in x 3.088 * [backup-simplify]: Simplify 2 into 2 3.088 * [taylor]: Taking taylor expansion of x in x 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (* 2 0) into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 3.089 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 3.090 * [taylor]: Taking taylor expansion of 1 in x 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.090 * [backup-simplify]: Simplify 2 into 2 3.090 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.092 * [backup-simplify]: Simplify (+ 0 0) into 0 3.092 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.092 * [taylor]: Taking taylor expansion of 0 in x 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.095 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.095 * [taylor]: Taking taylor expansion of 0 in x 3.095 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 3.096 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 3.096 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 3.096 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.096 * [taylor]: Taking taylor expansion of y in x 3.096 * [backup-simplify]: Simplify y into y 3.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.096 * [taylor]: Taking taylor expansion of 2 in x 3.096 * [backup-simplify]: Simplify 2 into 2 3.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.096 * [taylor]: Taking taylor expansion of x in x 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (/ 1 1) into 1 3.097 * [taylor]: Taking taylor expansion of y in x 3.097 * [backup-simplify]: Simplify y into y 3.097 * [backup-simplify]: Simplify (* 2 1) into 2 3.097 * [backup-simplify]: Simplify (+ 0 2) into 2 3.097 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.097 * [taylor]: Taking taylor expansion of y in y 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (/ 1 1) into 1 3.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.098 * [taylor]: Taking taylor expansion of 2 in y 3.098 * [backup-simplify]: Simplify 2 into 2 3.098 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.098 * [taylor]: Taking taylor expansion of x in y 3.098 * [backup-simplify]: Simplify x into x 3.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.098 * [taylor]: Taking taylor expansion of y in y 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (+ 1 0) into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.099 * [taylor]: Taking taylor expansion of y in y 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.099 * [taylor]: Taking taylor expansion of 2 in y 3.099 * [backup-simplify]: Simplify 2 into 2 3.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.099 * [taylor]: Taking taylor expansion of x in y 3.099 * [backup-simplify]: Simplify x into x 3.099 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.099 * [taylor]: Taking taylor expansion of y in y 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (+ 1 0) into 1 3.100 * [backup-simplify]: Simplify (/ 1 1) into 1 3.100 * [taylor]: Taking taylor expansion of 1 in x 3.100 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.104 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.104 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.104 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 3.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.104 * [taylor]: Taking taylor expansion of 2 in x 3.104 * [backup-simplify]: Simplify 2 into 2 3.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.104 * [taylor]: Taking taylor expansion of x in x 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.105 * [backup-simplify]: Simplify (/ 1 1) into 1 3.105 * [backup-simplify]: Simplify (* 2 1) into 2 3.105 * [backup-simplify]: Simplify 2 into 2 3.105 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.107 * [backup-simplify]: Simplify (+ 0 0) into 0 3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 3.108 * [taylor]: Taking taylor expansion of 0 in x 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.111 * [backup-simplify]: Simplify (+ 0 0) into 0 3.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.112 * [taylor]: Taking taylor expansion of 0 in x 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.115 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.116 * [backup-simplify]: Simplify (+ 0 0) into 0 3.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.118 * [taylor]: Taking taylor expansion of 0 in x 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 3.118 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 3.118 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 3.118 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.118 * [taylor]: Taking taylor expansion of y in x 3.118 * [backup-simplify]: Simplify y into y 3.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.118 * [taylor]: Taking taylor expansion of 2 in x 3.118 * [backup-simplify]: Simplify 2 into 2 3.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.119 * [taylor]: Taking taylor expansion of x in x 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (/ 1 1) into 1 3.119 * [taylor]: Taking taylor expansion of y in x 3.119 * [backup-simplify]: Simplify y into y 3.119 * [backup-simplify]: Simplify (* 2 1) into 2 3.120 * [backup-simplify]: Simplify (+ 0 2) into 2 3.120 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.120 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.120 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.120 * [taylor]: Taking taylor expansion of y in y 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (/ 1 1) into 1 3.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.120 * [taylor]: Taking taylor expansion of 2 in y 3.120 * [backup-simplify]: Simplify 2 into 2 3.120 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.120 * [taylor]: Taking taylor expansion of x in y 3.120 * [backup-simplify]: Simplify x into x 3.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.121 * [taylor]: Taking taylor expansion of y in y 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (+ 1 0) into 1 3.121 * [backup-simplify]: Simplify (/ 1 1) into 1 3.121 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.121 * [taylor]: Taking taylor expansion of y in y 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (/ 1 1) into 1 3.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.122 * [taylor]: Taking taylor expansion of 2 in y 3.122 * [backup-simplify]: Simplify 2 into 2 3.122 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.122 * [taylor]: Taking taylor expansion of x in y 3.122 * [backup-simplify]: Simplify x into x 3.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.122 * [taylor]: Taking taylor expansion of y in y 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (+ 1 0) into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.123 * [taylor]: Taking taylor expansion of 1 in x 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.123 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.124 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 3.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.124 * [taylor]: Taking taylor expansion of 2 in x 3.124 * [backup-simplify]: Simplify 2 into 2 3.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.125 * [backup-simplify]: Simplify (* 2 1) into 2 3.125 * [backup-simplify]: Simplify 2 into 2 3.125 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.126 * [backup-simplify]: Simplify (+ 0 0) into 0 3.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 3.127 * [taylor]: Taking taylor expansion of 0 in x 3.127 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.130 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.132 * [taylor]: Taking taylor expansion of 0 in x 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [taylor]: Taking taylor expansion of 0 in x 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 3.138 * * * [progress]: simplifying candidates 3.139 * [simplify]: Simplifying: (* (exp (pow x 2)) (exp (* y (+ (* 2 x) y)))) (log (+ (pow x 2) (* y (+ (* 2 x) y)))) (exp (+ (pow x 2) (* y (+ (* 2 x) y)))) (* (cbrt (+ (pow x 2) (* y (+ (* 2 x) y)))) (cbrt (+ (pow x 2) (* y (+ (* 2 x) y))))) (cbrt (+ (pow x 2) (* y (+ (* 2 x) y)))) (* (* (+ (pow x 2) (* y (+ (* 2 x) y))) (+ (pow x 2) (* y (+ (* 2 x) y)))) (+ (pow x 2) (* y (+ (* 2 x) y)))) (sqrt (+ (pow x 2) (* y (+ (* 2 x) y)))) (sqrt (+ (pow x 2) (* y (+ (* 2 x) y)))) (+ (pow (pow x 2) 3) (pow (* y (+ (* 2 x) y)) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (pow x 2) (* y (+ (* 2 x) y))))) (- (* (pow x 2) (pow x 2)) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)))) (- (pow x 2) (* y (+ (* 2 x) y))) (+ (pow x 2) (* y (* 2 x))) (+ (pow x 2) (* (* 2 x) y)) (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 3.139 * [simplify]: Sending expressions to egg_math: (* (exp (pow h1 2)) (exp (* h0 (+ (* 2 h1) h0)))) (log (+ (pow h1 2) (* h0 (+ (* 2 h1) h0)))) (exp (+ (pow h1 2) (* h0 (+ (* 2 h1) h0)))) (* (cbrt (+ (pow h1 2) (* h0 (+ (* 2 h1) h0)))) (cbrt (+ (pow h1 2) (* h0 (+ (* 2 h1) h0))))) (cbrt (+ (pow h1 2) (* h0 (+ (* 2 h1) h0)))) (* (* (+ (pow h1 2) (* h0 (+ (* 2 h1) h0))) (+ (pow h1 2) (* h0 (+ (* 2 h1) h0)))) (+ (pow h1 2) (* h0 (+ (* 2 h1) h0)))) (sqrt (+ (pow h1 2) (* h0 (+ (* 2 h1) h0)))) (sqrt (+ (pow h1 2) (* h0 (+ (* 2 h1) h0)))) (+ (pow (pow h1 2) 3) (pow (* h0 (+ (* 2 h1) h0)) 3)) (+ (* (pow h1 2) (pow h1 2)) (- (* (* h0 (+ (* 2 h1) h0)) (* h0 (+ (* 2 h1) h0))) (* (pow h1 2) (* h0 (+ (* 2 h1) h0))))) (- (* (pow h1 2) (pow h1 2)) (* (* h0 (+ (* 2 h1) h0)) (* h0 (+ (* 2 h1) h0)))) (- (pow h1 2) (* h0 (+ (* 2 h1) h0))) (+ (pow h1 2) (* h0 (* 2 h1))) (+ (pow h1 2) (* (* 2 h1) h0)) (* h0 (+ (* 2 h1) h0)) (+ (log h0) (log (+ (* 2 h1) h0))) (log (* h0 (+ (* 2 h1) h0))) (exp (* h0 (+ (* 2 h1) h0))) (* (* (* h0 h0) h0) (* (* (+ (* 2 h1) h0) (+ (* 2 h1) h0)) (+ (* 2 h1) h0))) (* (cbrt (* h0 (+ (* 2 h1) h0))) (cbrt (* h0 (+ (* 2 h1) h0)))) (cbrt (* h0 (+ (* 2 h1) h0))) (* (* (* h0 (+ (* 2 h1) h0)) (* h0 (+ (* 2 h1) h0))) (* h0 (+ (* 2 h1) h0))) (sqrt (* h0 (+ (* 2 h1) h0))) (sqrt (* h0 (+ (* 2 h1) h0))) (* (sqrt h0) (sqrt (+ (* 2 h1) h0))) (* (sqrt h0) (sqrt (+ (* 2 h1) h0))) (* h0 (* 2 h1)) (* h0 h0) (* (* 2 h1) h0) (* h0 h0) (* h0 (* (cbrt (+ (* 2 h1) h0)) (cbrt (+ (* 2 h1) h0)))) (* h0 (sqrt (+ (* 2 h1) h0))) (* h0 1) (* (cbrt h0) (+ (* 2 h1) h0)) (* (sqrt h0) (+ (* 2 h1) h0)) (* h0 (+ (* 2 h1) h0)) (* h0 (+ (pow (* 2 h1) 3) (pow h0 3))) (* h0 (- (* (* 2 h1) (* 2 h1)) (* h0 h0))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))) 3.742 * * * [progress]: adding candidates to table 3.841 * [progress]: [Phase 3 of 3] Extracting. 3.841 * * [regime]: Finding splitpoints for: (# #) 3.842 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 3.842 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 3.862 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# #) 3.878 * * * * [regimes]: Trying to branch on y from (# #) 3.895 * * * * [regimes]: Trying to branch on x from (# #) 3.912 * * * [regime]: Found split indices: #