25.172 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (* (* x 27.0) y) 0.030 * [simplify]: Sending expressions to egg_math: (* (* h1 27.0) h0) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.080 * [backup-simplify]: Simplify (* (* x 27.0) y) into (* 27.0 (* x y)) 0.080 * [approximate]: Taking taylor expansion of (* 27.0 (* x y)) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in y 0.080 * [taylor]: Taking taylor expansion of 27.0 in y 0.080 * [backup-simplify]: Simplify 27.0 into 27.0 0.080 * [taylor]: Taking taylor expansion of (* x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of 27.0 in x 0.080 * [backup-simplify]: Simplify 27.0 into 27.0 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.081 * [taylor]: Taking taylor expansion of 27.0 in x 0.081 * [backup-simplify]: Simplify 27.0 into 27.0 0.081 * [taylor]: Taking taylor expansion of (* x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (* 0 y) into 0 0.082 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.083 * [backup-simplify]: Simplify (+ (* 27.0 y) (* 0 0)) into (* 27.0 y) 0.083 * [taylor]: Taking taylor expansion of (* 27.0 y) in y 0.083 * [taylor]: Taking taylor expansion of 27.0 in y 0.083 * [backup-simplify]: Simplify 27.0 into 27.0 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.085 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 y) (* 0 0))) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 27.0 1) (* 0 0)) into 27.0 0.087 * [backup-simplify]: Simplify 27.0 into 27.0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 1) (* 0 0))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (* 27.0 (* y x)) into (* 27.0 (* x y)) 0.093 * [backup-simplify]: Simplify (* (* (/ 1 x) 27.0) (/ 1 y)) into (/ 27.0 (* x y)) 0.093 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.093 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.093 * [taylor]: Taking taylor expansion of 27.0 in y 0.093 * [backup-simplify]: Simplify 27.0 into 27.0 0.093 * [taylor]: Taking taylor expansion of (* x y) in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [backup-simplify]: Simplify x into x 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 (* x 0) into 0 0.094 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.094 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.094 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.094 * [taylor]: Taking taylor expansion of 27.0 in x 0.094 * [backup-simplify]: Simplify 27.0 into 27.0 0.094 * [taylor]: Taking taylor expansion of (* x y) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [backup-simplify]: Simplify y into y 0.094 * [backup-simplify]: Simplify (* 0 y) into 0 0.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.095 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.095 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.095 * [taylor]: Taking taylor expansion of 27.0 in x 0.095 * [backup-simplify]: Simplify 27.0 into 27.0 0.095 * [taylor]: Taking taylor expansion of (* x y) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (* 0 y) into 0 0.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.095 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.096 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.096 * [taylor]: Taking taylor expansion of 27.0 in y 0.096 * [backup-simplify]: Simplify 27.0 into 27.0 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.096 * [backup-simplify]: Simplify 27.0 into 27.0 0.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 27.0 (* x y)) 0.104 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) 27.0) (/ 1 (- y))) into (/ 27.0 (* x y)) 0.104 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.105 * [taylor]: Taking taylor expansion of 27.0 in y 0.105 * [backup-simplify]: Simplify 27.0 into 27.0 0.105 * [taylor]: Taking taylor expansion of (* x y) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [backup-simplify]: Simplify x into x 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* x 0) into 0 0.105 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.105 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.105 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.105 * [taylor]: Taking taylor expansion of 27.0 in x 0.105 * [backup-simplify]: Simplify 27.0 into 27.0 0.105 * [taylor]: Taking taylor expansion of (* x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (* 0 y) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.106 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.106 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.106 * [taylor]: Taking taylor expansion of 27.0 in x 0.106 * [backup-simplify]: Simplify 27.0 into 27.0 0.106 * [taylor]: Taking taylor expansion of (* x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [backup-simplify]: Simplify (* 0 y) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.107 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.107 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.107 * [taylor]: Taking taylor expansion of 27.0 in y 0.107 * [backup-simplify]: Simplify 27.0 into 27.0 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.107 * [backup-simplify]: Simplify 27.0 into 27.0 0.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 27.0 (* x y)) 0.114 * * * [progress]: simplifying candidates 0.115 * [simplify]: Simplifying: (* (* x 27.0) y) (* (* x 27.0) y) (+ (+ (log x) (log 27.0)) (log y)) (+ (log (* x 27.0)) (log y)) (log (* (* x 27.0) y)) (exp (* (* x 27.0) y)) (* (* (* (* x x) x) (* (* 27.0 27.0) 27.0)) (* (* y y) y)) (* (* (* (* x 27.0) (* x 27.0)) (* x 27.0)) (* (* y y) y)) (* (cbrt (* (* x 27.0) y)) (cbrt (* (* x 27.0) y))) (cbrt (* (* x 27.0) y)) (* (* (* (* x 27.0) y) (* (* x 27.0) y)) (* (* x 27.0) y)) (sqrt (* (* x 27.0) y)) (sqrt (* (* x 27.0) y)) (* (* x 27.0) (* (cbrt y) (cbrt y))) (* (* x 27.0) (sqrt y)) (* (* x 27.0) 1) (* 27.0 y) (* 27.0 (* x y)) (* 27.0 (* x y)) (* 27.0 (* x y)) 0.115 * [simplify]: Sending expressions to egg_math: (* (* h1 27.0) h0) (* (* h1 27.0) h0) (+ (+ (log h1) (log 27.0)) (log h0)) (+ (log (* h1 27.0)) (log h0)) (log (* (* h1 27.0) h0)) (exp (* (* h1 27.0) h0)) (* (* (* (* h1 h1) h1) (* (* 27.0 27.0) 27.0)) (* (* h0 h0) h0)) (* (* (* (* h1 27.0) (* h1 27.0)) (* h1 27.0)) (* (* h0 h0) h0)) (* (cbrt (* (* h1 27.0) h0)) (cbrt (* (* h1 27.0) h0))) (cbrt (* (* h1 27.0) h0)) (* (* (* (* h1 27.0) h0) (* (* h1 27.0) h0)) (* (* h1 27.0) h0)) (sqrt (* (* h1 27.0) h0)) (sqrt (* (* h1 27.0) h0)) (* (* h1 27.0) (* (cbrt h0) (cbrt h0))) (* (* h1 27.0) (sqrt h0)) (* (* h1 27.0) 1) (* 27.0 h0) (* 27.0 (* h1 h0)) (* 27.0 (* h1 h0)) (* 27.0 (* h1 h0)) 0.197 * * * [progress]: adding candidates to table 0.261 * * [progress]: iteration 2 / 4 0.261 * * * [progress]: picking best candidate 0.264 * * * * [pick]: Picked # 0.264 * * * [progress]: localizing error 0.272 * * * [progress]: generating rewritten candidates 0.272 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.302 * * * [progress]: generating series expansions 0.302 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.302 * [backup-simplify]: Simplify (* x (* 27.0 y)) into (* 27.0 (* x y)) 0.302 * [approximate]: Taking taylor expansion of (* 27.0 (* x y)) in (x y) around 0 0.302 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in y 0.302 * [taylor]: Taking taylor expansion of 27.0 in y 0.303 * [backup-simplify]: Simplify 27.0 into 27.0 0.303 * [taylor]: Taking taylor expansion of (* x y) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [backup-simplify]: Simplify x into x 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.303 * [taylor]: Taking taylor expansion of 27.0 in x 0.303 * [backup-simplify]: Simplify 27.0 into 27.0 0.303 * [taylor]: Taking taylor expansion of (* x y) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [backup-simplify]: Simplify y into y 0.303 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.303 * [taylor]: Taking taylor expansion of 27.0 in x 0.303 * [backup-simplify]: Simplify 27.0 into 27.0 0.303 * [taylor]: Taking taylor expansion of (* x y) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [backup-simplify]: Simplify y into y 0.303 * [backup-simplify]: Simplify (* 0 y) into 0 0.304 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.305 * [backup-simplify]: Simplify (+ (* 27.0 y) (* 0 0)) into (* 27.0 y) 0.305 * [taylor]: Taking taylor expansion of (* 27.0 y) in y 0.305 * [taylor]: Taking taylor expansion of 27.0 in y 0.305 * [backup-simplify]: Simplify 27.0 into 27.0 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 y) (* 0 0))) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 27.0 1) (* 0 0)) into 27.0 0.308 * [backup-simplify]: Simplify 27.0 into 27.0 0.308 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 1) (* 0 0))) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (* 27.0 (* y x)) into (* 27.0 (* x y)) 0.315 * [backup-simplify]: Simplify (* (/ 1 x) (* 27.0 (/ 1 y))) into (/ 27.0 (* x y)) 0.315 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.315 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.315 * [taylor]: Taking taylor expansion of 27.0 in y 0.315 * [backup-simplify]: Simplify 27.0 into 27.0 0.315 * [taylor]: Taking taylor expansion of (* x y) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [backup-simplify]: Simplify x into x 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* x 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.315 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.315 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.316 * [taylor]: Taking taylor expansion of 27.0 in x 0.316 * [backup-simplify]: Simplify 27.0 into 27.0 0.316 * [taylor]: Taking taylor expansion of (* x y) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [backup-simplify]: Simplify y into y 0.316 * [backup-simplify]: Simplify (* 0 y) into 0 0.316 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.316 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.316 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.316 * [taylor]: Taking taylor expansion of 27.0 in x 0.316 * [backup-simplify]: Simplify 27.0 into 27.0 0.316 * [taylor]: Taking taylor expansion of (* x y) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [backup-simplify]: Simplify y into y 0.316 * [backup-simplify]: Simplify (* 0 y) into 0 0.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.317 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.317 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.317 * [taylor]: Taking taylor expansion of 27.0 in y 0.317 * [backup-simplify]: Simplify 27.0 into 27.0 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.318 * [backup-simplify]: Simplify 27.0 into 27.0 0.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.319 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 27.0 (* x y)) 0.325 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* 27.0 (/ 1 (- y)))) into (/ 27.0 (* x y)) 0.325 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.325 * [taylor]: Taking taylor expansion of 27.0 in y 0.325 * [backup-simplify]: Simplify 27.0 into 27.0 0.325 * [taylor]: Taking taylor expansion of (* x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [backup-simplify]: Simplify x into x 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* x 0) into 0 0.325 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.326 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.326 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.326 * [taylor]: Taking taylor expansion of 27.0 in x 0.326 * [backup-simplify]: Simplify 27.0 into 27.0 0.326 * [taylor]: Taking taylor expansion of (* x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [backup-simplify]: Simplify y into y 0.326 * [backup-simplify]: Simplify (* 0 y) into 0 0.326 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.326 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.326 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.326 * [taylor]: Taking taylor expansion of 27.0 in x 0.326 * [backup-simplify]: Simplify 27.0 into 27.0 0.326 * [taylor]: Taking taylor expansion of (* x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [backup-simplify]: Simplify y into y 0.327 * [backup-simplify]: Simplify (* 0 y) into 0 0.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.327 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.327 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.327 * [taylor]: Taking taylor expansion of 27.0 in y 0.327 * [backup-simplify]: Simplify 27.0 into 27.0 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.328 * [backup-simplify]: Simplify 27.0 into 27.0 0.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.331 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.333 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 27.0 (* x y)) 0.335 * * * [progress]: simplifying candidates 0.335 * [simplify]: Simplifying: (* x (* 27.0 y)) (* x (* 27.0 y)) (+ (log x) (+ (log 27.0) (log y))) (+ (log x) (log (* 27.0 y))) (log (* x (* 27.0 y))) (exp (* x (* 27.0 y))) (* (* (* x x) x) (* (* (* 27.0 27.0) 27.0) (* (* y y) y))) (* (* (* x x) x) (* (* (* 27.0 y) (* 27.0 y)) (* 27.0 y))) (* (cbrt (* x (* 27.0 y))) (cbrt (* x (* 27.0 y)))) (cbrt (* x (* 27.0 y))) (* (* (* x (* 27.0 y)) (* x (* 27.0 y))) (* x (* 27.0 y))) (sqrt (* x (* 27.0 y))) (sqrt (* x (* 27.0 y))) (* x 27.0) (* (cbrt x) (* 27.0 y)) (* (sqrt x) (* 27.0 y)) (* x (* 27.0 y)) (* 27.0 (* x y)) (* 27.0 (* x y)) (* 27.0 (* x y)) 0.335 * [simplify]: Sending expressions to egg_math: (* h1 (* 27.0 h0)) (* h1 (* 27.0 h0)) (+ (log h1) (+ (log 27.0) (log h0))) (+ (log h1) (log (* 27.0 h0))) (log (* h1 (* 27.0 h0))) (exp (* h1 (* 27.0 h0))) (* (* (* h1 h1) h1) (* (* (* 27.0 27.0) 27.0) (* (* h0 h0) h0))) (* (* (* h1 h1) h1) (* (* (* 27.0 h0) (* 27.0 h0)) (* 27.0 h0))) (* (cbrt (* h1 (* 27.0 h0))) (cbrt (* h1 (* 27.0 h0)))) (cbrt (* h1 (* 27.0 h0))) (* (* (* h1 (* 27.0 h0)) (* h1 (* 27.0 h0))) (* h1 (* 27.0 h0))) (sqrt (* h1 (* 27.0 h0))) (sqrt (* h1 (* 27.0 h0))) (* h1 27.0) (* (cbrt h1) (* 27.0 h0)) (* (sqrt h1) (* 27.0 h0)) (* h1 (* 27.0 h0)) (* 27.0 (* h1 h0)) (* 27.0 (* h1 h0)) (* 27.0 (* h1 h0)) 0.427 * * * [progress]: adding candidates to table 0.458 * * [progress]: iteration 3 / 4 0.458 * * * [progress]: picking best candidate 0.459 * * * * [pick]: Picked # 0.460 * * * [progress]: localizing error 0.464 * * * [progress]: generating rewritten candidates 0.464 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.482 * * * [progress]: generating series expansions 0.482 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.482 * [backup-simplify]: Simplify (* 27.0 (* x y)) into (* 27.0 (* x y)) 0.482 * [approximate]: Taking taylor expansion of (* 27.0 (* x y)) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in y 0.482 * [taylor]: Taking taylor expansion of 27.0 in y 0.482 * [backup-simplify]: Simplify 27.0 into 27.0 0.482 * [taylor]: Taking taylor expansion of (* x y) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [backup-simplify]: Simplify x into x 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.483 * [taylor]: Taking taylor expansion of 27.0 in x 0.483 * [backup-simplify]: Simplify 27.0 into 27.0 0.483 * [taylor]: Taking taylor expansion of (* x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [backup-simplify]: Simplify y into y 0.483 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.483 * [taylor]: Taking taylor expansion of 27.0 in x 0.483 * [backup-simplify]: Simplify 27.0 into 27.0 0.483 * [taylor]: Taking taylor expansion of (* x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [backup-simplify]: Simplify y into y 0.483 * [backup-simplify]: Simplify (* 0 y) into 0 0.483 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.484 * [backup-simplify]: Simplify (+ (* 27.0 y) (* 0 0)) into (* 27.0 y) 0.484 * [taylor]: Taking taylor expansion of (* 27.0 y) in y 0.484 * [taylor]: Taking taylor expansion of 27.0 in y 0.484 * [backup-simplify]: Simplify 27.0 into 27.0 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 y) (* 0 0))) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 27.0 1) (* 0 0)) into 27.0 0.487 * [backup-simplify]: Simplify 27.0 into 27.0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 1) (* 0 0))) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (* 27.0 (* y x)) into (* 27.0 (* x y)) 0.491 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 x) (/ 1 y))) into (/ 27.0 (* x y)) 0.491 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.491 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.491 * [taylor]: Taking taylor expansion of 27.0 in y 0.491 * [backup-simplify]: Simplify 27.0 into 27.0 0.491 * [taylor]: Taking taylor expansion of (* x y) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [backup-simplify]: Simplify x into x 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* x 0) into 0 0.492 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.492 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.492 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.492 * [taylor]: Taking taylor expansion of 27.0 in x 0.492 * [backup-simplify]: Simplify 27.0 into 27.0 0.492 * [taylor]: Taking taylor expansion of (* x y) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [backup-simplify]: Simplify y into y 0.492 * [backup-simplify]: Simplify (* 0 y) into 0 0.492 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.492 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.492 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.492 * [taylor]: Taking taylor expansion of 27.0 in x 0.492 * [backup-simplify]: Simplify 27.0 into 27.0 0.492 * [taylor]: Taking taylor expansion of (* x y) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [backup-simplify]: Simplify y into y 0.493 * [backup-simplify]: Simplify (* 0 y) into 0 0.493 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.493 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.493 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.493 * [taylor]: Taking taylor expansion of 27.0 in y 0.493 * [backup-simplify]: Simplify 27.0 into 27.0 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.493 * [backup-simplify]: Simplify 27.0 into 27.0 0.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 27.0 (* x y)) 0.498 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 27.0 (* x y)) 0.498 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.498 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.498 * [taylor]: Taking taylor expansion of 27.0 in y 0.498 * [backup-simplify]: Simplify 27.0 into 27.0 0.498 * [taylor]: Taking taylor expansion of (* x y) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [backup-simplify]: Simplify x into x 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (* x 0) into 0 0.499 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.499 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.499 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.499 * [taylor]: Taking taylor expansion of 27.0 in x 0.499 * [backup-simplify]: Simplify 27.0 into 27.0 0.499 * [taylor]: Taking taylor expansion of (* x y) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [backup-simplify]: Simplify y into y 0.499 * [backup-simplify]: Simplify (* 0 y) into 0 0.499 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.499 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.499 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.499 * [taylor]: Taking taylor expansion of 27.0 in x 0.499 * [backup-simplify]: Simplify 27.0 into 27.0 0.499 * [taylor]: Taking taylor expansion of (* x y) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [backup-simplify]: Simplify y into y 0.499 * [backup-simplify]: Simplify (* 0 y) into 0 0.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.500 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.500 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.500 * [taylor]: Taking taylor expansion of 27.0 in y 0.500 * [backup-simplify]: Simplify 27.0 into 27.0 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.500 * [backup-simplify]: Simplify 27.0 into 27.0 0.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.501 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.502 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 27.0 (* x y)) 0.509 * * * [progress]: simplifying candidates 0.510 * [simplify]: Simplifying: (* 27.0 (* x y)) (* 27.0 (* x y)) (+ (log 27.0) (+ (log x) (log y))) (+ (log 27.0) (log (* x y))) (log (* 27.0 (* x y))) (exp (* 27.0 (* x y))) (* (* (* 27.0 27.0) 27.0) (* (* (* x x) x) (* (* y y) y))) (* (* (* 27.0 27.0) 27.0) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 27.0 (* x y))) (cbrt (* 27.0 (* x y)))) (cbrt (* 27.0 (* x y))) (* (* (* 27.0 (* x y)) (* 27.0 (* x y))) (* 27.0 (* x y))) (sqrt (* 27.0 (* x y))) (sqrt (* 27.0 (* x y))) (* 27.0 x) (* (cbrt 27.0) (* x y)) (* (sqrt 27.0) (* x y)) (* 27.0 (* x y)) (* 27.0 (* x y)) (* 27.0 (* x y)) (* 27.0 (* x y)) 0.510 * [simplify]: Sending expressions to egg_math: (* 27.0 (* h1 h0)) (* 27.0 (* h1 h0)) (+ (log 27.0) (+ (log h1) (log h0))) (+ (log 27.0) (log (* h1 h0))) (log (* 27.0 (* h1 h0))) (exp (* 27.0 (* h1 h0))) (* (* (* 27.0 27.0) 27.0) (* (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* 27.0 27.0) 27.0) (* (* (* h1 h0) (* h1 h0)) (* h1 h0))) (* (cbrt (* 27.0 (* h1 h0))) (cbrt (* 27.0 (* h1 h0)))) (cbrt (* 27.0 (* h1 h0))) (* (* (* 27.0 (* h1 h0)) (* 27.0 (* h1 h0))) (* 27.0 (* h1 h0))) (sqrt (* 27.0 (* h1 h0))) (sqrt (* 27.0 (* h1 h0))) (* 27.0 h1) (* (cbrt 27.0) (* h1 h0)) (* (sqrt 27.0) (* h1 h0)) (* 27.0 (* h1 h0)) (* 27.0 (* h1 h0)) (* 27.0 (* h1 h0)) (* 27.0 (* h1 h0)) 0.583 * * * [progress]: adding candidates to table 0.608 * * [progress]: iteration 4 / 4 0.608 * * * [progress]: picking best candidate 0.610 * * * * [pick]: Picked # 0.610 * * * [progress]: localizing error 0.617 * * * [progress]: generating rewritten candidates 0.617 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.697 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.734 * * * [progress]: generating series expansions 0.734 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.735 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (sqrt 27.0) (* x y))) into (* (pow (sqrt 27.0) 2) (* x y)) 0.735 * [approximate]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in (x y) around 0 0.735 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in y 0.735 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.735 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.735 * [taylor]: Taking taylor expansion of 27.0 in y 0.735 * [backup-simplify]: Simplify 27.0 into 27.0 0.735 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.736 * [taylor]: Taking taylor expansion of (* x y) in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [backup-simplify]: Simplify x into x 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in x 0.736 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.736 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.736 * [taylor]: Taking taylor expansion of 27.0 in x 0.736 * [backup-simplify]: Simplify 27.0 into 27.0 0.736 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.737 * [taylor]: Taking taylor expansion of (* x y) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [backup-simplify]: Simplify y into y 0.737 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in x 0.737 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.737 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.737 * [taylor]: Taking taylor expansion of 27.0 in x 0.737 * [backup-simplify]: Simplify 27.0 into 27.0 0.737 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.737 * [taylor]: Taking taylor expansion of (* x y) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of y in x 0.738 * [backup-simplify]: Simplify y into y 0.738 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.739 * [backup-simplify]: Simplify (* 0 y) into 0 0.739 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) 0) into 0 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.740 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.741 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) y) (* 0 0)) into (* (pow (sqrt 27.0) 2) y) 0.741 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) y) in y 0.741 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.741 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.741 * [taylor]: Taking taylor expansion of 27.0 in y 0.741 * [backup-simplify]: Simplify 27.0 into 27.0 0.741 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.742 * [taylor]: Taking taylor expansion of y in y 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.743 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) 0) into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.745 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 y) (* 0 0))) into 0 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.748 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 1) (* 0 0)) into (pow (sqrt 27.0) 2) 0.749 * [backup-simplify]: Simplify (pow (sqrt 27.0) 2) into (pow (sqrt 27.0) 2) 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.751 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.753 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.755 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.756 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 1) (* 0 0))) into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.759 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.760 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0)))))) into 0 0.768 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.768 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) (* y x)) into (* (pow (sqrt 27.0) 2) (* x y)) 0.771 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (sqrt 27.0) (* (/ 1 x) (/ 1 y)))) into (/ (pow (sqrt 27.0) 2) (* x y)) 0.771 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in (x y) around 0 0.771 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in y 0.771 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.771 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.771 * [taylor]: Taking taylor expansion of 27.0 in y 0.771 * [backup-simplify]: Simplify 27.0 into 27.0 0.771 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.772 * [taylor]: Taking taylor expansion of (* x y) in y 0.772 * [taylor]: Taking taylor expansion of x in y 0.772 * [backup-simplify]: Simplify x into x 0.772 * [taylor]: Taking taylor expansion of y in y 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.773 * [backup-simplify]: Simplify (* x 0) into 0 0.774 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.775 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) x) into (/ (pow (sqrt 27.0) 2) x) 0.775 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.775 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.775 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.775 * [taylor]: Taking taylor expansion of 27.0 in x 0.775 * [backup-simplify]: Simplify 27.0 into 27.0 0.775 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.776 * [taylor]: Taking taylor expansion of (* x y) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [taylor]: Taking taylor expansion of y in x 0.776 * [backup-simplify]: Simplify y into y 0.778 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.778 * [backup-simplify]: Simplify (* 0 y) into 0 0.778 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.779 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.779 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.779 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.779 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.779 * [taylor]: Taking taylor expansion of 27.0 in x 0.779 * [backup-simplify]: Simplify 27.0 into 27.0 0.780 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.781 * [taylor]: Taking taylor expansion of (* x y) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [backup-simplify]: Simplify y into y 0.782 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.782 * [backup-simplify]: Simplify (* 0 y) into 0 0.783 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.784 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.784 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) y) in y 0.784 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.784 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.784 * [taylor]: Taking taylor expansion of 27.0 in y 0.784 * [backup-simplify]: Simplify 27.0 into 27.0 0.785 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.786 * [taylor]: Taking taylor expansion of y in y 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.789 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) 1) into (pow (sqrt 27.0) 2) 0.790 * [backup-simplify]: Simplify (pow (sqrt 27.0) 2) into (pow (sqrt 27.0) 2) 0.791 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.793 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)))) into 0 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.798 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.801 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.804 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.809 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.812 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.814 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* (pow (sqrt 27.0) 2) (* x y)) 0.818 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (sqrt 27.0) (* (/ 1 (- x)) (/ 1 (- y))))) into (/ (pow (sqrt 27.0) 2) (* x y)) 0.818 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in y 0.818 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.818 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.818 * [taylor]: Taking taylor expansion of 27.0 in y 0.818 * [backup-simplify]: Simplify 27.0 into 27.0 0.819 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.819 * [taylor]: Taking taylor expansion of (* x y) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.820 * [backup-simplify]: Simplify x into x 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.821 * [backup-simplify]: Simplify (* x 0) into 0 0.821 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.823 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) x) into (/ (pow (sqrt 27.0) 2) x) 0.823 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.823 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.823 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.823 * [taylor]: Taking taylor expansion of 27.0 in x 0.823 * [backup-simplify]: Simplify 27.0 into 27.0 0.823 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.824 * [taylor]: Taking taylor expansion of (* x y) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [taylor]: Taking taylor expansion of y in x 0.824 * [backup-simplify]: Simplify y into y 0.825 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.825 * [backup-simplify]: Simplify (* 0 y) into 0 0.826 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.827 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.827 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.827 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.827 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.827 * [taylor]: Taking taylor expansion of 27.0 in x 0.827 * [backup-simplify]: Simplify 27.0 into 27.0 0.828 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.828 * [taylor]: Taking taylor expansion of (* x y) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [taylor]: Taking taylor expansion of y in x 0.829 * [backup-simplify]: Simplify y into y 0.830 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.830 * [backup-simplify]: Simplify (* 0 y) into 0 0.830 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.831 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.831 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) y) in y 0.831 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.832 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.832 * [taylor]: Taking taylor expansion of 27.0 in y 0.832 * [backup-simplify]: Simplify 27.0 into 27.0 0.832 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.836 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) 1) into (pow (sqrt 27.0) 2) 0.837 * [backup-simplify]: Simplify (pow (sqrt 27.0) 2) into (pow (sqrt 27.0) 2) 0.838 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.840 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)))) into 0 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.845 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.847 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.850 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.854 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.857 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.857 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.860 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* (pow (sqrt 27.0) 2) (* x y)) 0.863 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.864 * [backup-simplify]: Simplify (* (sqrt 27.0) (* x y)) into (* (sqrt 27.0) (* x y)) 0.864 * [approximate]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in (x y) around 0 0.864 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in y 0.864 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.864 * [taylor]: Taking taylor expansion of 27.0 in y 0.864 * [backup-simplify]: Simplify 27.0 into 27.0 0.864 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.865 * [taylor]: Taking taylor expansion of (* x y) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [backup-simplify]: Simplify x into x 0.865 * [taylor]: Taking taylor expansion of y in y 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in x 0.865 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.866 * [taylor]: Taking taylor expansion of 27.0 in x 0.866 * [backup-simplify]: Simplify 27.0 into 27.0 0.866 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.867 * [taylor]: Taking taylor expansion of (* x y) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [backup-simplify]: Simplify y into y 0.867 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in x 0.867 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.867 * [taylor]: Taking taylor expansion of 27.0 in x 0.867 * [backup-simplify]: Simplify 27.0 into 27.0 0.867 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.868 * [taylor]: Taking taylor expansion of (* x y) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [backup-simplify]: Simplify y into y 0.868 * [backup-simplify]: Simplify (* 0 y) into 0 0.869 * [backup-simplify]: Simplify (* (sqrt 27.0) 0) into 0 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.870 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) y) (* 0 0)) into (* (sqrt 27.0) y) 0.870 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) y) in y 0.870 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.870 * [taylor]: Taking taylor expansion of 27.0 in y 0.870 * [backup-simplify]: Simplify 27.0 into 27.0 0.871 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (* (sqrt 27.0) 0) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.875 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 y) (* 0 0))) into 0 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 1) (* 0 0)) into (sqrt 27.0) 0.878 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.878 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.882 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.884 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 1) (* 0 0))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.887 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.888 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (* (sqrt 27.0) (* y x)) into (* (sqrt 27.0) (* x y)) 0.889 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 x) (/ 1 y))) into (/ (sqrt 27.0) (* x y)) 0.889 * [approximate]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in (x y) around 0 0.889 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in y 0.889 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.889 * [taylor]: Taking taylor expansion of 27.0 in y 0.889 * [backup-simplify]: Simplify 27.0 into 27.0 0.890 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.891 * [taylor]: Taking taylor expansion of (* x y) in y 0.891 * [taylor]: Taking taylor expansion of x in y 0.891 * [backup-simplify]: Simplify x into x 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (* x 0) into 0 0.891 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.891 * [backup-simplify]: Simplify (/ (sqrt 27.0) x) into (/ (sqrt 27.0) x) 0.892 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.892 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.892 * [taylor]: Taking taylor expansion of 27.0 in x 0.892 * [backup-simplify]: Simplify 27.0 into 27.0 0.892 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.893 * [taylor]: Taking taylor expansion of (* x y) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of y in x 0.893 * [backup-simplify]: Simplify y into y 0.893 * [backup-simplify]: Simplify (* 0 y) into 0 0.893 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.894 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.894 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.894 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.894 * [taylor]: Taking taylor expansion of 27.0 in x 0.894 * [backup-simplify]: Simplify 27.0 into 27.0 0.894 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.895 * [taylor]: Taking taylor expansion of (* x y) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [backup-simplify]: Simplify y into y 0.895 * [backup-simplify]: Simplify (* 0 y) into 0 0.895 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.896 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.896 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) y) in y 0.896 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.896 * [taylor]: Taking taylor expansion of 27.0 in y 0.896 * [backup-simplify]: Simplify 27.0 into 27.0 0.896 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.897 * [taylor]: Taking taylor expansion of y in y 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (/ (sqrt 27.0) 1) into (sqrt 27.0) 0.898 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.900 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)))) into 0 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.903 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.903 * [taylor]: Taking taylor expansion of 0 in y 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.909 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* (sqrt 27.0) (* x y)) 0.912 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 (- x)) (/ 1 (- y)))) into (/ (sqrt 27.0) (* x y)) 0.913 * [approximate]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in (x y) around 0 0.913 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in y 0.913 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.913 * [taylor]: Taking taylor expansion of 27.0 in y 0.913 * [backup-simplify]: Simplify 27.0 into 27.0 0.913 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.914 * [taylor]: Taking taylor expansion of (* x y) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [backup-simplify]: Simplify x into x 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (* x 0) into 0 0.915 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.915 * [backup-simplify]: Simplify (/ (sqrt 27.0) x) into (/ (sqrt 27.0) x) 0.915 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.915 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.915 * [taylor]: Taking taylor expansion of 27.0 in x 0.915 * [backup-simplify]: Simplify 27.0 into 27.0 0.915 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.916 * [taylor]: Taking taylor expansion of (* x y) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [backup-simplify]: Simplify y into y 0.916 * [backup-simplify]: Simplify (* 0 y) into 0 0.917 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.917 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.917 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.917 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.917 * [taylor]: Taking taylor expansion of 27.0 in x 0.917 * [backup-simplify]: Simplify 27.0 into 27.0 0.918 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.918 * [taylor]: Taking taylor expansion of (* x y) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [backup-simplify]: Simplify y into y 0.918 * [backup-simplify]: Simplify (* 0 y) into 0 0.919 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.925 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.926 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) y) in y 0.926 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.926 * [taylor]: Taking taylor expansion of 27.0 in y 0.926 * [backup-simplify]: Simplify 27.0 into 27.0 0.926 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [backup-simplify]: Simplify (/ (sqrt 27.0) 1) into (sqrt 27.0) 0.928 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.929 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)))) into 0 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.931 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.935 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* (sqrt 27.0) (* x y)) 0.937 * * * [progress]: simplifying candidates 0.937 * [simplify]: Simplifying: (* (sqrt 27.0) (* (sqrt 27.0) (* x y))) (* (sqrt 27.0) (* (sqrt 27.0) (* x y))) (* (sqrt 27.0) (* (sqrt 27.0) (* x y))) (+ (log (sqrt 27.0)) (+ (log (sqrt 27.0)) (+ (log x) (log y)))) (+ (log (sqrt 27.0)) (+ (log (sqrt 27.0)) (log (* x y)))) (+ (log (sqrt 27.0)) (log (* (sqrt 27.0) (* x y)))) (log (* (sqrt 27.0) (* (sqrt 27.0) (* x y)))) (exp (* (sqrt 27.0) (* (sqrt 27.0) (* x y)))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* x x) x) (* (* y y) y)))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* x y) (* x y)) (* x y)))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* (sqrt 27.0) (* x y)) (* (sqrt 27.0) (* x y))) (* (sqrt 27.0) (* x y)))) (* (cbrt (* (sqrt 27.0) (* (sqrt 27.0) (* x y)))) (cbrt (* (sqrt 27.0) (* (sqrt 27.0) (* x y))))) (cbrt (* (sqrt 27.0) (* (sqrt 27.0) (* x y)))) (* (* (* (sqrt 27.0) (* (sqrt 27.0) (* x y))) (* (sqrt 27.0) (* (sqrt 27.0) (* x y)))) (* (sqrt 27.0) (* (sqrt 27.0) (* x y)))) (sqrt (* (sqrt 27.0) (* (sqrt 27.0) (* x y)))) (sqrt (* (sqrt 27.0) (* (sqrt 27.0) (* x y)))) (* (sqrt 27.0) (sqrt 27.0)) (* (cbrt (sqrt 27.0)) (* (sqrt 27.0) (* x y))) (* (sqrt (cbrt 27.0)) (* (sqrt 27.0) (* x y))) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* x y))) (* (sqrt 27.0) (* (sqrt 27.0) (* x y))) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* x y))) (* (sqrt 27.0) (* (sqrt 27.0) (* x y))) (* (sqrt 27.0) (* x y)) (* (sqrt 27.0) (* x y)) (+ (log (sqrt 27.0)) (+ (log x) (log y))) (+ (log (sqrt 27.0)) (log (* x y))) (log (* (sqrt 27.0) (* x y))) (exp (* (sqrt 27.0) (* x y))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* x x) x) (* (* y y) y))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* (sqrt 27.0) (* x y))) (cbrt (* (sqrt 27.0) (* x y)))) (cbrt (* (sqrt 27.0) (* x y))) (* (* (* (sqrt 27.0) (* x y)) (* (sqrt 27.0) (* x y))) (* (sqrt 27.0) (* x y))) (sqrt (* (sqrt 27.0) (* x y))) (sqrt (* (sqrt 27.0) (* x y))) (* (sqrt 27.0) x) (* (cbrt (sqrt 27.0)) (* x y)) (* (sqrt (cbrt 27.0)) (* x y)) (* (sqrt (sqrt 27.0)) (* x y)) (* (sqrt 27.0) (* x y)) (* (sqrt (sqrt 27.0)) (* x y)) (* (sqrt 27.0) (* x y)) (* (pow (sqrt 27.0) 2) (* x y)) (* (pow (sqrt 27.0) 2) (* x y)) (* (pow (sqrt 27.0) 2) (* x y)) (* (sqrt 27.0) (* x y)) (* (sqrt 27.0) (* x y)) (* (sqrt 27.0) (* x y)) 0.938 * [simplify]: Sending expressions to egg_math: (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0))) (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0))) (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0))) (+ (log (sqrt 27.0)) (+ (log (sqrt 27.0)) (+ (log h1) (log h0)))) (+ (log (sqrt 27.0)) (+ (log (sqrt 27.0)) (log (* h1 h0)))) (+ (log (sqrt 27.0)) (log (* (sqrt 27.0) (* h1 h0)))) (log (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0)))) (exp (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0)))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* h1 h1) h1) (* (* h0 h0) h0)))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* h1 h0) (* h1 h0)) (* h1 h0)))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* (sqrt 27.0) (* h1 h0)) (* (sqrt 27.0) (* h1 h0))) (* (sqrt 27.0) (* h1 h0)))) (* (cbrt (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0)))) (cbrt (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0))))) (cbrt (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0)))) (* (* (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0))) (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0)))) (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0)))) (sqrt (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0)))) (sqrt (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0)))) (* (sqrt 27.0) (sqrt 27.0)) (* (cbrt (sqrt 27.0)) (* (sqrt 27.0) (* h1 h0))) (* (sqrt (cbrt 27.0)) (* (sqrt 27.0) (* h1 h0))) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* h1 h0))) (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0))) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* h1 h0))) (* (sqrt 27.0) (* (sqrt 27.0) (* h1 h0))) (* (sqrt 27.0) (* h1 h0)) (* (sqrt 27.0) (* h1 h0)) (+ (log (sqrt 27.0)) (+ (log h1) (log h0))) (+ (log (sqrt 27.0)) (log (* h1 h0))) (log (* (sqrt 27.0) (* h1 h0))) (exp (* (sqrt 27.0) (* h1 h0))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* (sqrt 27.0) (sqrt 27.0)) (sqrt 27.0)) (* (* (* h1 h0) (* h1 h0)) (* h1 h0))) (* (cbrt (* (sqrt 27.0) (* h1 h0))) (cbrt (* (sqrt 27.0) (* h1 h0)))) (cbrt (* (sqrt 27.0) (* h1 h0))) (* (* (* (sqrt 27.0) (* h1 h0)) (* (sqrt 27.0) (* h1 h0))) (* (sqrt 27.0) (* h1 h0))) (sqrt (* (sqrt 27.0) (* h1 h0))) (sqrt (* (sqrt 27.0) (* h1 h0))) (* (sqrt 27.0) h1) (* (cbrt (sqrt 27.0)) (* h1 h0)) (* (sqrt (cbrt 27.0)) (* h1 h0)) (* (sqrt (sqrt 27.0)) (* h1 h0)) (* (sqrt 27.0) (* h1 h0)) (* (sqrt (sqrt 27.0)) (* h1 h0)) (* (sqrt 27.0) (* h1 h0)) (* (pow (sqrt 27.0) 2) (* h1 h0)) (* (pow (sqrt 27.0) 2) (* h1 h0)) (* (pow (sqrt 27.0) 2) (* h1 h0)) (* (sqrt 27.0) (* h1 h0)) (* (sqrt 27.0) (* h1 h0)) (* (sqrt 27.0) (* h1 h0)) 1.044 * * * [progress]: adding candidates to table 1.119 * [progress]: [Phase 3 of 3] Extracting. 1.119 * * [regime]: Finding splitpoints for: (# # # # #) 1.120 * * * [regime-changes]: Trying 4 branch expressions: ((* x 27.0) (* (* x 27.0) y) y x) 1.120 * * * * [regimes]: Trying to branch on (* x 27.0) from (# # # # #) 1.135 * * * * [regimes]: Trying to branch on (* (* x 27.0) y) from (# # # # #) 1.155 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.171 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.190 * * * [regime]: Found split indices: #