44.963 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.027 * [simplify]: Sending expressions to egg_math: (* (+ h1 h0) (+ h1 h0)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.085 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.085 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.085 * [taylor]: Taking taylor expansion of (+ x y) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [backup-simplify]: Simplify x into x 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (+ x 0) into x 0.085 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.085 * [taylor]: Taking taylor expansion of (+ x y) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (+ 0 y) into y 0.086 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.086 * [taylor]: Taking taylor expansion of (+ x y) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (+ 0 y) into y 0.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.087 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.087 * [taylor]: Taking taylor expansion of 2 in y 0.087 * [backup-simplify]: Simplify 2 into 2 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 2 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.088 * [backup-simplify]: Simplify 2 into 2 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [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)))) 0.089 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.089 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (+ 0 1) into 1 0.090 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 0 1) into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.092 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.092 * [taylor]: Taking taylor expansion of 2 in y 0.092 * [backup-simplify]: Simplify 2 into 2 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 2 1) into 2 0.095 * [backup-simplify]: Simplify 2 into 2 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [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)))) 0.095 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.095 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [backup-simplify]: Simplify x into x 0.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [backup-simplify]: Simplify (+ 0 1) into 1 0.097 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [backup-simplify]: Simplify (+ 0 1) into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.098 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.098 * [taylor]: Taking taylor expansion of 2 in y 0.098 * [backup-simplify]: Simplify 2 into 2 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 2 1) into 2 0.101 * [backup-simplify]: Simplify 2 into 2 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [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)))) 0.101 * * * [progress]: simplifying candidates 0.102 * [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)))) 0.102 * [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)))) 0.127 * * * [progress]: adding candidates to table 0.189 * * [progress]: iteration 2 / 4 0.189 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.191 * * * [progress]: localizing error 0.207 * * * [progress]: generating rewritten candidates 0.207 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.243 * * * [progress]: generating series expansions 0.243 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.244 * [backup-simplify]: Simplify (* x (+ (* y 2) x)) into (* x (+ x (* 2 y))) 0.244 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [backup-simplify]: Simplify x into x 0.244 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [backup-simplify]: Simplify x into x 0.244 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.244 * [taylor]: Taking taylor expansion of 2 in y 0.244 * [backup-simplify]: Simplify 2 into 2 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.244 * [taylor]: Taking taylor expansion of 2 in x 0.244 * [backup-simplify]: Simplify 2 into 2 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [backup-simplify]: Simplify y into y 0.244 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.244 * [taylor]: Taking taylor expansion of 2 in x 0.244 * [backup-simplify]: Simplify 2 into 2 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [backup-simplify]: Simplify y into y 0.244 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.245 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.245 * [backup-simplify]: Simplify (* 0 (* 2 y)) into 0 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.246 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 y))) into (* 2 y) 0.246 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.246 * [taylor]: Taking taylor expansion of 2 in y 0.246 * [backup-simplify]: Simplify 2 into 2 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 2 0) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 y)))) into 1 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.249 * [backup-simplify]: Simplify 2 into 2 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 y))))) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 y)))))) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (* x y))) 0.253 * [backup-simplify]: Simplify (* (/ 1 x) (+ (* (/ 1 y) 2) (/ 1 x))) into (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) 0.254 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.254 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.254 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of 2 in y 0.254 * [backup-simplify]: Simplify 2 into 2 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [backup-simplify]: Simplify x into x 0.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [backup-simplify]: Simplify x into x 0.254 * [backup-simplify]: Simplify (* 2 1) into 2 0.254 * [backup-simplify]: Simplify (+ 2 0) into 2 0.255 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.255 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.255 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.255 * [taylor]: Taking taylor expansion of 2 in x 0.255 * [backup-simplify]: Simplify 2 into 2 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [backup-simplify]: Simplify y into y 0.255 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.256 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.256 * [taylor]: Taking taylor expansion of 2 in x 0.256 * [backup-simplify]: Simplify 2 into 2 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [backup-simplify]: Simplify y into y 0.256 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of 1 in y 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.257 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 0.258 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.258 * [taylor]: Taking taylor expansion of 2 in y 0.258 * [backup-simplify]: Simplify 2 into 2 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [backup-simplify]: Simplify (* 2 1) into 2 0.258 * [backup-simplify]: Simplify 2 into 2 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2 (* x y))) 0.268 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (* (/ 1 (- y)) 2) (/ 1 (- x)))) into (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) 0.268 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.268 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.268 * [taylor]: Taking taylor expansion of 2 in y 0.268 * [backup-simplify]: Simplify 2 into 2 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [backup-simplify]: Simplify x into x 0.268 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [backup-simplify]: Simplify x into x 0.269 * [backup-simplify]: Simplify (* 2 1) into 2 0.269 * [backup-simplify]: Simplify (+ 2 0) into 2 0.269 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.269 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.269 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.269 * [taylor]: Taking taylor expansion of 2 in x 0.269 * [backup-simplify]: Simplify 2 into 2 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [backup-simplify]: Simplify y into y 0.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (+ 0 1) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.270 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.270 * [taylor]: Taking taylor expansion of 2 in x 0.270 * [backup-simplify]: Simplify 2 into 2 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [backup-simplify]: Simplify y into y 0.270 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (+ 0 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.272 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 0.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of 2 in y 0.272 * [backup-simplify]: Simplify 2 into 2 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (* 2 1) into 2 0.273 * [backup-simplify]: Simplify 2 into 2 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2 (* x y))) 0.282 * * * [progress]: simplifying candidates 0.283 * [simplify]: Simplifying: (* x (+ (* y 2) x)) (+ (log x) (log (+ (* y 2) x))) (log (* x (+ (* y 2) x))) (exp (* x (+ (* y 2) x))) (* (* (* x x) x) (* (* (+ (* y 2) x) (+ (* y 2) x)) (+ (* y 2) x))) (* (cbrt (* x (+ (* y 2) x))) (cbrt (* x (+ (* y 2) x)))) (cbrt (* x (+ (* y 2) x))) (* (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* x (* y 2)) (* x x) (* (* y 2) x) (* x x) (* x (* (cbrt (+ (* y 2) x)) (cbrt (+ (* y 2) x)))) (* x (sqrt (+ (* y 2) x))) (* x 1) (* (cbrt x) (+ (* y 2) x)) (* (sqrt x) (+ (* y 2) x)) (* x (+ (* y 2) x)) (* x (+ (pow (* y 2) 3) (pow x 3))) (* x (- (* (* y 2) (* y 2)) (* x x))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 0.283 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* h1 2) h0)) (+ (log h0) (log (+ (* h1 2) h0))) (log (* h0 (+ (* h1 2) h0))) (exp (* h0 (+ (* h1 2) h0))) (* (* (* h0 h0) h0) (* (* (+ (* h1 2) h0) (+ (* h1 2) h0)) (+ (* h1 2) h0))) (* (cbrt (* h0 (+ (* h1 2) h0))) (cbrt (* h0 (+ (* h1 2) h0)))) (cbrt (* h0 (+ (* h1 2) h0))) (* (* (* h0 (+ (* h1 2) h0)) (* h0 (+ (* h1 2) h0))) (* h0 (+ (* h1 2) h0))) (sqrt (* h0 (+ (* h1 2) h0))) (sqrt (* h0 (+ (* h1 2) h0))) (* (sqrt h0) (sqrt (+ (* h1 2) h0))) (* (sqrt h0) (sqrt (+ (* h1 2) h0))) (* h0 (* h1 2)) (* h0 h0) (* (* h1 2) h0) (* h0 h0) (* h0 (* (cbrt (+ (* h1 2) h0)) (cbrt (+ (* h1 2) h0)))) (* h0 (sqrt (+ (* h1 2) h0))) (* h0 1) (* (cbrt h0) (+ (* h1 2) h0)) (* (sqrt h0) (+ (* h1 2) h0)) (* h0 (+ (* h1 2) h0)) (* h0 (+ (pow (* h1 2) 3) (pow h0 3))) (* h0 (- (* (* h1 2) (* h1 2)) (* h0 h0))) (+ (pow h0 2) (* 2 (* h0 h1))) (+ (pow h0 2) (* 2 (* h0 h1))) (+ (pow h0 2) (* 2 (* h0 h1))) 0.337 * * * [progress]: adding candidates to table 0.396 * * [progress]: iteration 3 / 4 0.396 * * * [progress]: picking best candidate 0.398 * * * * [pick]: Picked # 0.398 * * * [progress]: localizing error 0.409 * * * [progress]: generating rewritten candidates 0.409 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.498 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.538 * * * [progress]: generating series expansions 0.538 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.539 * [backup-simplify]: Simplify (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x))) into (* x (+ x (* 2 y))) 0.539 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.539 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [backup-simplify]: Simplify x into x 0.539 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [backup-simplify]: Simplify x into x 0.539 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.539 * [taylor]: Taking taylor expansion of 2 in y 0.539 * [backup-simplify]: Simplify 2 into 2 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.539 * [taylor]: Taking taylor expansion of 2 in x 0.539 * [backup-simplify]: Simplify 2 into 2 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [backup-simplify]: Simplify y into y 0.539 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.540 * [taylor]: Taking taylor expansion of 2 in x 0.540 * [backup-simplify]: Simplify 2 into 2 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [backup-simplify]: Simplify y into y 0.540 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.540 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.540 * [backup-simplify]: Simplify (* 0 (* 2 y)) into 0 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.541 * [backup-simplify]: Simplify (+ 1 0) into 1 0.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 y))) into (* 2 y) 0.541 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.541 * [taylor]: Taking taylor expansion of 2 in y 0.541 * [backup-simplify]: Simplify 2 into 2 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* 2 0) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 y)))) into 1 0.543 * [taylor]: Taking taylor expansion of 1 in y 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.544 * [backup-simplify]: Simplify 2 into 2 0.544 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 y))))) into 0 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 y)))))) into 0 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (* x y))) 0.550 * [backup-simplify]: Simplify (* (* (/ 1 x) (sqrt (+ (* (/ 1 y) 2) (/ 1 x)))) (sqrt (+ (* (/ 1 y) 2) (/ 1 x)))) into (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) 0.550 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.550 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.550 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.550 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.550 * [taylor]: Taking taylor expansion of 2 in y 0.550 * [backup-simplify]: Simplify 2 into 2 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [backup-simplify]: Simplify x into x 0.551 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [backup-simplify]: Simplify x into x 0.551 * [backup-simplify]: Simplify (* 2 1) into 2 0.552 * [backup-simplify]: Simplify (+ 2 0) into 2 0.552 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.552 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.552 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.552 * [taylor]: Taking taylor expansion of 2 in x 0.552 * [backup-simplify]: Simplify 2 into 2 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [backup-simplify]: Simplify y into y 0.552 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (/ 1 1) into 1 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (+ 0 1) into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.553 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.553 * [taylor]: Taking taylor expansion of 2 in x 0.553 * [backup-simplify]: Simplify 2 into 2 0.553 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.553 * [backup-simplify]: Simplify y into y 0.553 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (+ 0 1) into 1 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [taylor]: Taking taylor expansion of 1 in y 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.555 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 0.556 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.556 * [taylor]: Taking taylor expansion of 2 in y 0.556 * [backup-simplify]: Simplify 2 into 2 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [backup-simplify]: Simplify (* 2 1) into 2 0.556 * [backup-simplify]: Simplify 2 into 2 0.556 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2 (* x y))) 0.570 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (sqrt (+ (* (/ 1 (- y)) 2) (/ 1 (- x))))) (sqrt (+ (* (/ 1 (- y)) 2) (/ 1 (- x))))) into (* -1 (/ (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) x)) 0.570 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) x)) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) x)) in y 0.570 * [taylor]: Taking taylor expansion of -1 in y 0.570 * [backup-simplify]: Simplify -1 into -1 0.570 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) x) in y 0.570 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) in y 0.570 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) in y 0.570 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in y 0.570 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.570 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.570 * [taylor]: Taking taylor expansion of 2 in y 0.570 * [backup-simplify]: Simplify 2 into 2 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [backup-simplify]: Simplify x into x 0.570 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.571 * [backup-simplify]: Simplify (* 2 1) into 2 0.571 * [backup-simplify]: Simplify (+ 2 0) into 2 0.571 * [backup-simplify]: Simplify (- 2) into -2 0.572 * [backup-simplify]: Simplify (sqrt 0) into 0 0.572 * [backup-simplify]: Simplify (- 2) into -2 0.573 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 0.573 * [taylor]: Taking taylor expansion of x in y 0.573 * [backup-simplify]: Simplify x into x 0.574 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 0.574 * [backup-simplify]: Simplify (/ +nan.0 x) into (/ +nan.0 x) 0.574 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) x)) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [backup-simplify]: Simplify -1 into -1 0.574 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) x) in x 0.574 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) in x 0.574 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) in x 0.574 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.574 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.574 * [taylor]: Taking taylor expansion of 2 in x 0.574 * [backup-simplify]: Simplify 2 into 2 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [backup-simplify]: Simplify y into y 0.574 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [backup-simplify]: Simplify (+ 0 1) into 1 0.575 * [backup-simplify]: Simplify (- 1) into -1 0.575 * [backup-simplify]: Simplify (sqrt 0) into 0 0.576 * [backup-simplify]: Simplify (- 1) into -1 0.577 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 0.577 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.577 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) x)) in x 0.577 * [taylor]: Taking taylor expansion of -1 in x 0.577 * [backup-simplify]: Simplify -1 into -1 0.577 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) x) in x 0.577 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) 2) in x 0.578 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) in x 0.578 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.578 * [taylor]: Taking taylor expansion of 2 in x 0.578 * [backup-simplify]: Simplify 2 into 2 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [backup-simplify]: Simplify y into y 0.578 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [backup-simplify]: Simplify (+ 0 1) into 1 0.579 * [backup-simplify]: Simplify (- 1) into -1 0.579 * [backup-simplify]: Simplify (sqrt 0) into 0 0.579 * [backup-simplify]: Simplify (- 1) into -1 0.580 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 0.581 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.581 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 0.581 * [taylor]: Taking taylor expansion of +nan.0 in y 0.581 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.581 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.582 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.582 * [backup-simplify]: Simplify (- (* 2 (/ 1 y))) into (- (* 2 (/ 1 y))) 0.583 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 y))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 2 (/ 1 y)) (- +nan.0))) 0.584 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (* 2 (/ 1 y)) (- +nan.0)))) (* (* +nan.0 (+ (* 2 (/ 1 y)) (- +nan.0))) +nan.0)) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.585 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 1) (+ (* +nan.0 (/ 0 1)))) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.586 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 y)) (- +nan.0)))) (* 0 +nan.0)) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.586 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.586 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.586 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.586 * [taylor]: Taking taylor expansion of +nan.0 in y 0.586 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (/ 1 1) into 1 0.586 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.586 * [taylor]: Taking taylor expansion of +nan.0 in y 0.586 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.588 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.588 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.589 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.589 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (* 2 (/ 1 y)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.594 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0)))) (+ (* (* +nan.0 (+ (* 2 (/ 1 y)) (- +nan.0))) (* +nan.0 (+ (* 2 (/ 1 y)) (- +nan.0)))) (* (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) +nan.0))) into (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 0.599 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 1) (+ (* +nan.0 (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) (/ 0 1)))) into (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 0.600 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 y)) (- +nan.0)))) (* 0 +nan.0))) into (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 0.600 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.601 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.601 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.601 * [taylor]: Taking taylor expansion of +nan.0 in y 0.601 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.601 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.601 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.601 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.601 * [taylor]: Taking taylor expansion of +nan.0 in y 0.601 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (* 1 1) into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.602 * [taylor]: Taking taylor expansion of +nan.0 in y 0.602 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 0.606 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.607 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.608 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.608 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.609 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.609 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.610 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* 1 (/ 1 (- x)))) (+ (- +nan.0) (* +nan.0 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.610 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.610 * [backup-simplify]: Simplify (* x (sqrt (+ (* y 2) x))) into (* x (sqrt (+ x (* 2 y)))) 0.610 * [approximate]: Taking taylor expansion of (* x (sqrt (+ x (* 2 y)))) in (x y) around 0 0.610 * [taylor]: Taking taylor expansion of (* x (sqrt (+ x (* 2 y)))) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [backup-simplify]: Simplify x into x 0.610 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 2 y))) in y 0.610 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [backup-simplify]: Simplify x into x 0.610 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.610 * [taylor]: Taking taylor expansion of 2 in y 0.610 * [backup-simplify]: Simplify 2 into 2 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (* 2 0) into 0 0.611 * [backup-simplify]: Simplify (+ x 0) into x 0.611 * [backup-simplify]: Simplify (sqrt x) into (sqrt x) 0.611 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.612 * [backup-simplify]: Simplify (+ 0 2) into 2 0.612 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt x))) into (sqrt (/ 1 x)) 0.612 * [taylor]: Taking taylor expansion of (* x (sqrt (+ x (* 2 y)))) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 2 y))) in x 0.612 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.612 * [taylor]: Taking taylor expansion of 2 in x 0.612 * [backup-simplify]: Simplify 2 into 2 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [backup-simplify]: Simplify y into y 0.612 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.612 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.612 * [backup-simplify]: Simplify (sqrt (* 2 y)) into (* (sqrt 2) (sqrt y)) 0.613 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.613 * [backup-simplify]: Simplify (+ 1 0) into 1 0.613 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (* 2 y)))) into (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y)))) 0.613 * [taylor]: Taking taylor expansion of (* x (sqrt (+ x (* 2 y)))) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 2 y))) in x 0.613 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.613 * [taylor]: Taking taylor expansion of 2 in x 0.613 * [backup-simplify]: Simplify 2 into 2 0.613 * [taylor]: Taking taylor expansion of y in x 0.613 * [backup-simplify]: Simplify y into y 0.613 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.613 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.613 * [backup-simplify]: Simplify (sqrt (* 2 y)) into (* (sqrt 2) (sqrt y)) 0.614 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.614 * [backup-simplify]: Simplify (+ 1 0) into 1 0.614 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (* 2 y)))) into (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y)))) 0.615 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt y))) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y))))) (* 1 (* (sqrt 2) (sqrt y)))) into (* (sqrt 2) (sqrt y)) 0.616 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt y)) in y 0.616 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.616 * [taylor]: Taking taylor expansion of 2 in y 0.616 * [backup-simplify]: Simplify 2 into 2 0.616 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.617 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (sqrt 0) into 0 0.618 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.619 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y)))) 2) (+)) (* 2 (* (sqrt 2) (sqrt y)))) into (* -1/8 (* (/ 1 (pow (sqrt 2) 3)) (sqrt (/ 1 (pow y 3))))) 0.624 * [backup-simplify]: Simplify (+ (* 0 (* -1/8 (* (/ 1 (pow (sqrt 2) 3)) (sqrt (/ 1 (pow y 3)))))) (+ (* 1 (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y))))) (* 0 (* (sqrt 2) (sqrt y))))) into (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y)))) 0.624 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y)))) in y 0.624 * [taylor]: Taking taylor expansion of 1/2 in y 0.624 * [backup-simplify]: Simplify 1/2 into 1/2 0.624 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 y))) in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in y 0.624 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.624 * [taylor]: Taking taylor expansion of 2 in y 0.624 * [backup-simplify]: Simplify 2 into 2 0.625 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.626 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (/ 1 1) into 1 0.626 * [backup-simplify]: Simplify (sqrt 0) into 0 0.627 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.631 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2)))) 0.631 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2)) 0) into 0 0.635 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (/ 1 (sqrt 2))))) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2)))) 0.637 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 0.638 * [backup-simplify]: Simplify (+ (* (sqrt 2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 0.640 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 0.640 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y)))) (* -1/8 (* (/ 1 (pow (sqrt 2) 3)) (sqrt (/ 1 (pow y 3))))))))) (* 2 (* (sqrt 2) (sqrt y)))) into (* 1/16 (* (/ 1 (pow (sqrt 2) 5)) (sqrt (/ 1 (pow y 5))))) 0.648 * [backup-simplify]: Simplify (+ (* 0 (* 1/16 (* (/ 1 (pow (sqrt 2) 5)) (sqrt (/ 1 (pow y 5)))))) (+ (* 1 (* -1/8 (* (/ 1 (pow (sqrt 2) 3)) (sqrt (/ 1 (pow y 3)))))) (+ (* 0 (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 y))))) (* 0 (* (sqrt 2) (sqrt y)))))) into (- (* 1/8 (* (/ 1 (pow (sqrt 2) 3)) (sqrt (/ 1 (pow y 3)))))) 0.648 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (/ 1 (pow (sqrt 2) 3)) (sqrt (/ 1 (pow y 3)))))) in y 0.648 * [taylor]: Taking taylor expansion of (* 1/8 (* (/ 1 (pow (sqrt 2) 3)) (sqrt (/ 1 (pow y 3))))) in y 0.648 * [taylor]: Taking taylor expansion of 1/8 in y 0.648 * [backup-simplify]: Simplify 1/8 into 1/8 0.648 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (sqrt 2) 3)) (sqrt (/ 1 (pow y 3)))) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 3)) in y 0.648 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 3) in y 0.648 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.648 * [taylor]: Taking taylor expansion of 2 in y 0.648 * [backup-simplify]: Simplify 2 into 2 0.648 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.650 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 0.651 * [backup-simplify]: Simplify (* (sqrt 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 3) 0.652 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 3)) into (/ 1 (pow (sqrt 2) 3)) 0.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.652 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (* 1 1) into 1 0.653 * [backup-simplify]: Simplify (* 1 1) into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [backup-simplify]: Simplify (sqrt 0) into 0 0.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.659 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 0.660 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow (sqrt 2) 2))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 3)) (/ 0 (pow (sqrt 2) 3))))) into 0 0.661 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.662 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 0.663 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 3)) (/ 0 (pow (sqrt 2) 3))) (* 0 (/ 0 (pow (sqrt 2) 3))))) into 0 0.668 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (sqrt 2) 3)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 3)))) 0.670 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (sqrt 2) 3)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 3)))) 0.671 * [backup-simplify]: Simplify (* (/ 1 (pow (sqrt 2) 3)) 0) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (/ 1 (pow (sqrt 2) 3))))) (+ (* 0 (- (* +nan.0 (/ 1 (pow (sqrt 2) 3))))) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 3)))) 0.678 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt 2) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 3)))) 0.680 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow (sqrt 2) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt 2) 3)))) 0.685 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (pow (sqrt 2) 3)))) (pow (* 1 x) 3)) (+ (* (- (* +nan.0 (sqrt 2))) (* y x)) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow (* 1 x) 2)))) into (- (+ (* +nan.0 (* x (* (sqrt 2) y))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 2))) (- (* +nan.0 (/ (pow x 3) (pow (sqrt 2) 3)))))))) 0.685 * [backup-simplify]: Simplify (* (/ 1 x) (sqrt (+ (* (/ 1 y) 2) (/ 1 x)))) into (* (/ 1 x) (sqrt (+ (* 2 (/ 1 y)) (/ 1 x)))) 0.685 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (* 2 (/ 1 y)) (/ 1 x)))) in (x y) around 0 0.685 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (* 2 (/ 1 y)) (/ 1 x)))) in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.685 * [backup-simplify]: Simplify x into x 0.685 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 y)) (/ 1 x))) in y 0.685 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.685 * [taylor]: Taking taylor expansion of 2 in y 0.685 * [backup-simplify]: Simplify 2 into 2 0.685 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [backup-simplify]: Simplify x into x 0.686 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.686 * [backup-simplify]: Simplify (* 2 1) into 2 0.686 * [backup-simplify]: Simplify (+ 2 0) into 2 0.687 * [backup-simplify]: Simplify (sqrt 0) into 0 0.687 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.687 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (* 2 (/ 1 y)) (/ 1 x)))) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.688 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.688 * [taylor]: Taking taylor expansion of 2 in x 0.688 * [backup-simplify]: Simplify 2 into 2 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [backup-simplify]: Simplify y into y 0.688 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [backup-simplify]: Simplify (+ 0 1) into 1 0.689 * [backup-simplify]: Simplify (sqrt 0) into 0 0.689 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.689 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (* 2 (/ 1 y)) (/ 1 x)))) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.690 * [taylor]: Taking taylor expansion of 2 in x 0.690 * [backup-simplify]: Simplify 2 into 2 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [backup-simplify]: Simplify y into y 0.690 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [backup-simplify]: Simplify (+ 0 1) into 1 0.691 * [backup-simplify]: Simplify (sqrt 0) into 0 0.691 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.692 * [backup-simplify]: Simplify (* 1 0) into 0 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 0 0)) into (- +nan.0) 0.693 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.693 * [taylor]: Taking taylor expansion of +nan.0 in y 0.693 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.694 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 y)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (* 2 (/ 1 y)) +nan.0)) 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (* 2 (/ 1 y)) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.695 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.695 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.695 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.695 * [taylor]: Taking taylor expansion of +nan.0 in y 0.695 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.696 * [taylor]: Taking taylor expansion of +nan.0 in y 0.696 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.700 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.700 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.701 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.701 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.701 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.701 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.702 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (* 2 (/ 1 y)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 2 (/ 1 y)) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.704 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.704 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.704 * [taylor]: Taking taylor expansion of +nan.0 in y 0.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.704 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.705 * [taylor]: Taking taylor expansion of +nan.0 in y 0.705 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.705 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.705 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.706 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.706 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.707 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 y)) (/ 1 x))) (+ (* (- +nan.0) (* 1 (/ 1 (/ 1 x)))) (* (- +nan.0) (* (/ 1 (/ 1 y)) 1)))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) 0.707 * [backup-simplify]: Simplify (* (/ 1 (- x)) (sqrt (+ (* (/ 1 (- y)) 2) (/ 1 (- x))))) into (* -1 (/ (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) x)) 0.707 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) x)) in (x y) around 0 0.707 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) x)) in y 0.707 * [taylor]: Taking taylor expansion of -1 in y 0.707 * [backup-simplify]: Simplify -1 into -1 0.707 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) x) in y 0.707 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) in y 0.707 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in y 0.707 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.707 * [taylor]: Taking taylor expansion of 2 in y 0.707 * [backup-simplify]: Simplify 2 into 2 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [backup-simplify]: Simplify x into x 0.707 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.708 * [backup-simplify]: Simplify (* 2 1) into 2 0.708 * [backup-simplify]: Simplify (+ 2 0) into 2 0.708 * [backup-simplify]: Simplify (- 2) into -2 0.708 * [backup-simplify]: Simplify (sqrt 0) into 0 0.709 * [backup-simplify]: Simplify (- 2) into -2 0.709 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [backup-simplify]: Simplify x into x 0.709 * [backup-simplify]: Simplify (/ +nan.0 x) into (/ +nan.0 x) 0.709 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) x)) in x 0.709 * [taylor]: Taking taylor expansion of -1 in x 0.709 * [backup-simplify]: Simplify -1 into -1 0.709 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) x) in x 0.709 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) in x 0.709 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.710 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.710 * [taylor]: Taking taylor expansion of 2 in x 0.710 * [backup-simplify]: Simplify 2 into 2 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [backup-simplify]: Simplify y into y 0.710 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [backup-simplify]: Simplify (+ 0 1) into 1 0.710 * [backup-simplify]: Simplify (- 1) into -1 0.711 * [backup-simplify]: Simplify (sqrt 0) into 0 0.711 * [backup-simplify]: Simplify (- 1) into -1 0.712 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.712 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) x)) in x 0.712 * [taylor]: Taking taylor expansion of -1 in x 0.712 * [backup-simplify]: Simplify -1 into -1 0.712 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) x) in x 0.712 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 2 (/ 1 y)) (/ 1 x)))) in x 0.712 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.712 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.712 * [taylor]: Taking taylor expansion of 2 in x 0.712 * [backup-simplify]: Simplify 2 into 2 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [backup-simplify]: Simplify y into y 0.712 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [backup-simplify]: Simplify (+ 0 1) into 1 0.713 * [backup-simplify]: Simplify (- 1) into -1 0.713 * [backup-simplify]: Simplify (sqrt 0) into 0 0.713 * [backup-simplify]: Simplify (- 1) into -1 0.714 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.715 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 0.715 * [taylor]: Taking taylor expansion of +nan.0 in y 0.715 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.715 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.715 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.715 * [backup-simplify]: Simplify (- (* 2 (/ 1 y))) into (- (* 2 (/ 1 y))) 0.716 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 y))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 2 (/ 1 y)) (- +nan.0))) 0.717 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (* 2 (/ 1 y)) (- +nan.0))) 1) (+ (* +nan.0 (/ 0 1)))) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.718 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 y)) (- +nan.0)))) (* 0 +nan.0)) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.718 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.718 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.718 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.718 * [taylor]: Taking taylor expansion of +nan.0 in y 0.718 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (/ 1 1) into 1 0.719 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.719 * [taylor]: Taking taylor expansion of +nan.0 in y 0.719 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.720 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.721 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.721 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.722 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (- 0) into 0 0.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (* 2 (/ 1 y)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.726 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 1) (+ (* +nan.0 (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) (/ 0 1)))) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.727 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 y)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (/ 1 y)) (- +nan.0)))) (* 0 +nan.0))) into (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 0.727 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.727 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.727 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.727 * [taylor]: Taking taylor expansion of +nan.0 in y 0.727 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (/ 1 1) into 1 0.728 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.728 * [taylor]: Taking taylor expansion of +nan.0 in y 0.728 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.730 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.730 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.731 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.731 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* 1 (/ 1 (- x)))) (+ (- +nan.0) (* +nan.0 (* 1 (/ 1 (/ 1 (- x))))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.732 * * * [progress]: simplifying candidates 0.733 * [simplify]: Simplifying: (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x))) (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x))) (+ (+ (log x) (log (sqrt (+ (* y 2) x)))) (log (sqrt (+ (* y 2) x)))) (+ (log (* x (sqrt (+ (* y 2) x)))) (log (sqrt (+ (* y 2) x)))) (log (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (exp (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (* (* (* (* x x) x) (* (* (sqrt (+ (* y 2) x)) (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (* (* (sqrt (+ (* y 2) x)) (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (* (* (* (* x (sqrt (+ (* y 2) x))) (* x (sqrt (+ (* y 2) x)))) (* x (sqrt (+ (* y 2) x)))) (* (* (sqrt (+ (* y 2) x)) (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (* (cbrt (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (cbrt (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x))))) (cbrt (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (* (* (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x))) (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (sqrt (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (sqrt (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (* (* x (sqrt (+ (pow (* y 2) 3) (pow x 3)))) (sqrt (+ (pow (* y 2) 3) (pow x 3)))) (* (sqrt (+ (* (* y 2) (* y 2)) (- (* x x) (* (* y 2) x)))) (sqrt (+ (* (* y 2) (* y 2)) (- (* x x) (* (* y 2) x))))) (* (* x (sqrt (+ (pow (* y 2) 3) (pow x 3)))) (sqrt (- (* (* y 2) (* y 2)) (* x x)))) (* (sqrt (+ (* (* y 2) (* y 2)) (- (* x x) (* (* y 2) x)))) (sqrt (- (* y 2) x))) (* (* x (sqrt (- (* (* y 2) (* y 2)) (* x x)))) (sqrt (+ (pow (* y 2) 3) (pow x 3)))) (* (sqrt (- (* y 2) x)) (sqrt (+ (* (* y 2) (* y 2)) (- (* x x) (* (* y 2) x))))) (* (* x (sqrt (- (* (* y 2) (* y 2)) (* x x)))) (sqrt (- (* (* y 2) (* y 2)) (* x x)))) (* (sqrt (- (* y 2) x)) (sqrt (- (* y 2) x))) (* (* x (sqrt (+ (* y 2) x))) (* (cbrt (sqrt (+ (* y 2) x))) (cbrt (sqrt (+ (* y 2) x))))) (* (* x (sqrt (+ (* y 2) x))) (sqrt (* (cbrt (+ (* y 2) x)) (cbrt (+ (* y 2) x))))) (* (* x (sqrt (+ (* y 2) x))) (sqrt (sqrt (+ (* y 2) x)))) (* (* x (sqrt (+ (* y 2) x))) (sqrt 1)) (* (* x (sqrt (+ (* y 2) x))) (sqrt (sqrt (+ (* y 2) x)))) (* (* x (sqrt (+ (* y 2) x))) 1) (* (sqrt (+ (* y 2) x)) (sqrt (+ (* y 2) x))) (* (* x (sqrt (+ (* y 2) x))) (sqrt (+ (pow (* y 2) 3) (pow x 3)))) (* (* x (sqrt (+ (* y 2) x))) (sqrt (- (* (* y 2) (* y 2)) (* x x)))) (* (* x (sqrt (+ (pow (* y 2) 3) (pow x 3)))) (sqrt (+ (* y 2) x))) (* (* x (sqrt (- (* (* y 2) (* y 2)) (* x x)))) (sqrt (+ (* y 2) x))) (* x (sqrt (+ (* y 2) x))) (+ (log x) (log (sqrt (+ (* y 2) x)))) (log (* x (sqrt (+ (* y 2) x)))) (exp (* x (sqrt (+ (* y 2) x)))) (* (* (* x x) x) (* (* (sqrt (+ (* y 2) x)) (sqrt (+ (* y 2) x))) (sqrt (+ (* y 2) x)))) (* (cbrt (* x (sqrt (+ (* y 2) x)))) (cbrt (* x (sqrt (+ (* y 2) x))))) (cbrt (* x (sqrt (+ (* y 2) x)))) (* (* (* x (sqrt (+ (* y 2) x))) (* x (sqrt (+ (* y 2) x)))) (* x (sqrt (+ (* y 2) x)))) (sqrt (* x (sqrt (+ (* y 2) x)))) (sqrt (* x (sqrt (+ (* y 2) x)))) (* (sqrt x) (sqrt (sqrt (+ (* y 2) x)))) (* (sqrt x) (sqrt (sqrt (+ (* y 2) x)))) (* (sqrt x) (sqrt (sqrt (+ (* y 2) x)))) (* (sqrt x) (sqrt (sqrt (+ (* y 2) x)))) (* x (* (cbrt (sqrt (+ (* y 2) x))) (cbrt (sqrt (+ (* y 2) x))))) (* x (sqrt (* (cbrt (+ (* y 2) x)) (cbrt (+ (* y 2) x))))) (* x (sqrt (sqrt (+ (* y 2) x)))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ (* y 2) x)))) (* x 1) (* (cbrt x) (sqrt (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* x (sqrt (+ (* y 2) x))) (* x (sqrt (+ (pow (* y 2) 3) (pow x 3)))) (* x (sqrt (- (* (* y 2) (* y 2)) (* x x)))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (* +nan.0 (* x (* (sqrt 2) y))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 2))) (- (* +nan.0 (/ (pow x 3) (pow (sqrt 2) 3)))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.733 * [simplify]: Sending expressions to egg_math: (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0))) (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0))) (+ (+ (log h0) (log (sqrt (+ (* h1 2) h0)))) (log (sqrt (+ (* h1 2) h0)))) (+ (log (* h0 (sqrt (+ (* h1 2) h0)))) (log (sqrt (+ (* h1 2) h0)))) (log (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (exp (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (* (* (* (* h0 h0) h0) (* (* (sqrt (+ (* h1 2) h0)) (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (* (* (sqrt (+ (* h1 2) h0)) (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (* (* (* (* h0 (sqrt (+ (* h1 2) h0))) (* h0 (sqrt (+ (* h1 2) h0)))) (* h0 (sqrt (+ (* h1 2) h0)))) (* (* (sqrt (+ (* h1 2) h0)) (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (* (cbrt (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (cbrt (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0))))) (cbrt (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (* (* (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0))) (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (sqrt (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (sqrt (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (* (* h0 (sqrt (+ (pow (* h1 2) 3) (pow h0 3)))) (sqrt (+ (pow (* h1 2) 3) (pow h0 3)))) (* (sqrt (+ (* (* h1 2) (* h1 2)) (- (* h0 h0) (* (* h1 2) h0)))) (sqrt (+ (* (* h1 2) (* h1 2)) (- (* h0 h0) (* (* h1 2) h0))))) (* (* h0 (sqrt (+ (pow (* h1 2) 3) (pow h0 3)))) (sqrt (- (* (* h1 2) (* h1 2)) (* h0 h0)))) (* (sqrt (+ (* (* h1 2) (* h1 2)) (- (* h0 h0) (* (* h1 2) h0)))) (sqrt (- (* h1 2) h0))) (* (* h0 (sqrt (- (* (* h1 2) (* h1 2)) (* h0 h0)))) (sqrt (+ (pow (* h1 2) 3) (pow h0 3)))) (* (sqrt (- (* h1 2) h0)) (sqrt (+ (* (* h1 2) (* h1 2)) (- (* h0 h0) (* (* h1 2) h0))))) (* (* h0 (sqrt (- (* (* h1 2) (* h1 2)) (* h0 h0)))) (sqrt (- (* (* h1 2) (* h1 2)) (* h0 h0)))) (* (sqrt (- (* h1 2) h0)) (sqrt (- (* h1 2) h0))) (* (* h0 (sqrt (+ (* h1 2) h0))) (* (cbrt (sqrt (+ (* h1 2) h0))) (cbrt (sqrt (+ (* h1 2) h0))))) (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (* (cbrt (+ (* h1 2) h0)) (cbrt (+ (* h1 2) h0))))) (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (sqrt (+ (* h1 2) h0)))) (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt 1)) (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (sqrt (+ (* h1 2) h0)))) (* (* h0 (sqrt (+ (* h1 2) h0))) 1) (* (sqrt (+ (* h1 2) h0)) (sqrt (+ (* h1 2) h0))) (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (+ (pow (* h1 2) 3) (pow h0 3)))) (* (* h0 (sqrt (+ (* h1 2) h0))) (sqrt (- (* (* h1 2) (* h1 2)) (* h0 h0)))) (* (* h0 (sqrt (+ (pow (* h1 2) 3) (pow h0 3)))) (sqrt (+ (* h1 2) h0))) (* (* h0 (sqrt (- (* (* h1 2) (* h1 2)) (* h0 h0)))) (sqrt (+ (* h1 2) h0))) (* h0 (sqrt (+ (* h1 2) h0))) (+ (log h0) (log (sqrt (+ (* h1 2) h0)))) (log (* h0 (sqrt (+ (* h1 2) h0)))) (exp (* h0 (sqrt (+ (* h1 2) h0)))) (* (* (* h0 h0) h0) (* (* (sqrt (+ (* h1 2) h0)) (sqrt (+ (* h1 2) h0))) (sqrt (+ (* h1 2) h0)))) (* (cbrt (* h0 (sqrt (+ (* h1 2) h0)))) (cbrt (* h0 (sqrt (+ (* h1 2) h0))))) (cbrt (* h0 (sqrt (+ (* h1 2) h0)))) (* (* (* h0 (sqrt (+ (* h1 2) h0))) (* h0 (sqrt (+ (* h1 2) h0)))) (* h0 (sqrt (+ (* h1 2) h0)))) (sqrt (* h0 (sqrt (+ (* h1 2) h0)))) (sqrt (* h0 (sqrt (+ (* h1 2) h0)))) (* (sqrt h0) (sqrt (sqrt (+ (* h1 2) h0)))) (* (sqrt h0) (sqrt (sqrt (+ (* h1 2) h0)))) (* (sqrt h0) (sqrt (sqrt (+ (* h1 2) h0)))) (* (sqrt h0) (sqrt (sqrt (+ (* h1 2) h0)))) (* h0 (* (cbrt (sqrt (+ (* h1 2) h0))) (cbrt (sqrt (+ (* h1 2) h0))))) (* h0 (sqrt (* (cbrt (+ (* h1 2) h0)) (cbrt (+ (* h1 2) h0))))) (* h0 (sqrt (sqrt (+ (* h1 2) h0)))) (* h0 (sqrt 1)) (* h0 (sqrt (sqrt (+ (* h1 2) h0)))) (* h0 1) (* (cbrt h0) (sqrt (+ (* h1 2) h0))) (* (sqrt h0) (sqrt (+ (* h1 2) h0))) (* h0 (sqrt (+ (* h1 2) h0))) (* h0 (sqrt (+ (pow (* h1 2) 3) (pow h0 3)))) (* h0 (sqrt (- (* (* h1 2) (* h1 2)) (* h0 h0)))) (+ (pow h0 2) (* 2 (* h0 h1))) (+ (pow h0 2) (* 2 (* h0 h1))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ (* h2 (* h0 (* (sqrt 2) h1))) (- (+ (* h2 (/ (pow h0 2) (sqrt 2))) (- (* h2 (/ (pow h0 3) (pow (sqrt 2) 3)))))))) (- (+ (* h2 h0) (- (+ (* h2 (/ h1 h0)) (- (* h2 h1)))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) 0.850 * * * [progress]: adding candidates to table 0.984 * [progress]: [Phase 3 of 3] Extracting. 0.985 * * [regime]: Finding splitpoints for: (# #) 0.985 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.985 * * * * [regimes]: Trying to branch on y from (# #) 0.998 * * * * [regimes]: Trying to branch on x from (# #) 1.017 * * * [regime]: Found split indices: #