3.945 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying: (* (* x 27.0) y) 0.013 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) h2) 0.015 * * [simplify]: iteration 0 : 9 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 16 enodes (cost 2 ) 0.018 * * [simplify]: iteration 2 : 18 enodes (cost 2 ) 0.019 * * [simplify]: iteration 3 : 18 enodes (cost 2 ) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [backup-simplify]: Simplify (* (* x 27.0) y) into (* 27.0 (* x y)) 0.041 * [approximate]: Taking taylor expansion of (* 27.0 (* x y)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in y 0.041 * [taylor]: Taking taylor expansion of 27.0 in y 0.041 * [backup-simplify]: Simplify 27.0 into 27.0 0.041 * [taylor]: Taking taylor expansion of (* x y) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [backup-simplify]: Simplify x into x 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.041 * [taylor]: Taking taylor expansion of 27.0 in x 0.041 * [backup-simplify]: Simplify 27.0 into 27.0 0.041 * [taylor]: Taking taylor expansion of (* x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [backup-simplify]: Simplify y into y 0.042 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.042 * [taylor]: Taking taylor expansion of 27.0 in x 0.042 * [backup-simplify]: Simplify 27.0 into 27.0 0.042 * [taylor]: Taking taylor expansion of (* x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [backup-simplify]: Simplify y into y 0.042 * [backup-simplify]: Simplify (* 0 y) into 0 0.042 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.043 * [backup-simplify]: Simplify (+ (* 27.0 y) (* 0 0)) into (* 27.0 y) 0.043 * [taylor]: Taking taylor expansion of (* 27.0 y) in y 0.043 * [taylor]: Taking taylor expansion of 27.0 in y 0.043 * [backup-simplify]: Simplify 27.0 into 27.0 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.044 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 y) (* 0 0))) into 0 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 27.0 1) (* 0 0)) into 27.0 0.045 * [backup-simplify]: Simplify 27.0 into 27.0 0.045 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.046 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 1) (* 0 0))) into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.049 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (* 27.0 (* y x)) into (* 27.0 (* x y)) 0.049 * [backup-simplify]: Simplify (* (* (/ 1 x) 27.0) (/ 1 y)) into (/ 27.0 (* x y)) 0.049 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.049 * [taylor]: Taking taylor expansion of 27.0 in y 0.049 * [backup-simplify]: Simplify 27.0 into 27.0 0.049 * [taylor]: Taking taylor expansion of (* x y) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (* x 0) into 0 0.050 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.050 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.050 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.050 * [taylor]: Taking taylor expansion of 27.0 in x 0.050 * [backup-simplify]: Simplify 27.0 into 27.0 0.050 * [taylor]: Taking taylor expansion of (* x y) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (* 0 y) into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.050 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.050 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.050 * [taylor]: Taking taylor expansion of 27.0 in x 0.050 * [backup-simplify]: Simplify 27.0 into 27.0 0.050 * [taylor]: Taking taylor expansion of (* x y) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (* 0 y) into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.050 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.051 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.051 * [taylor]: Taking taylor expansion of 27.0 in y 0.051 * [backup-simplify]: Simplify 27.0 into 27.0 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.051 * [backup-simplify]: Simplify 27.0 into 27.0 0.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 27.0 (* x y)) 0.055 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) 27.0) (/ 1 (- y))) into (/ 27.0 (* x y)) 0.055 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.055 * [taylor]: Taking taylor expansion of 27.0 in y 0.055 * [backup-simplify]: Simplify 27.0 into 27.0 0.055 * [taylor]: Taking taylor expansion of (* x y) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [backup-simplify]: Simplify x into x 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (* x 0) into 0 0.056 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.056 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.056 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.056 * [taylor]: Taking taylor expansion of 27.0 in x 0.056 * [backup-simplify]: Simplify 27.0 into 27.0 0.056 * [taylor]: Taking taylor expansion of (* x y) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [backup-simplify]: Simplify y into y 0.056 * [backup-simplify]: Simplify (* 0 y) into 0 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.056 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.056 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.056 * [taylor]: Taking taylor expansion of 27.0 in x 0.056 * [backup-simplify]: Simplify 27.0 into 27.0 0.056 * [taylor]: Taking taylor expansion of (* x y) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [backup-simplify]: Simplify y into y 0.056 * [backup-simplify]: Simplify (* 0 y) into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.057 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.057 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.057 * [taylor]: Taking taylor expansion of 27.0 in y 0.057 * [backup-simplify]: Simplify 27.0 into 27.0 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.057 * [backup-simplify]: Simplify 27.0 into 27.0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 27.0 (* x y)) 0.061 * * * [progress]: simplifying candidates 0.062 * [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)) 0.062 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) h2) (* (* h0 h1) h2) (+ (+ (log h0) (log h1)) (log h2)) (+ (log (* h0 h1)) (log h2)) (log (* (* h0 h1) h2)) (exp (* (* h0 h1) h2)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (* (* h0 h1) h2)) (cbrt (* (* h0 h1) h2))) (cbrt (* (* h0 h1) h2)) (* (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (* (* h0 h1) (* (cbrt h2) (cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (* h1 (* h0 h2)) (* h1 (* h0 h2)) (* h1 (* h0 h2)) 0.065 * * [simplify]: iteration 0 : 101 enodes (cost 72 ) 0.068 * * [simplify]: iteration 1 : 502 enodes (cost 57 ) 0.081 * * [simplify]: iteration 2 : 2460 enodes (cost 57 ) 0.125 * * [simplify]: iteration 3 : 5001 enodes (cost 57 ) 0.126 * * * [progress]: adding candidates to table 0.155 * * [progress]: iteration 2 / 4 0.155 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.161 * * * [progress]: localizing error 0.164 * * * [progress]: generating rewritten candidates 0.164 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.180 * [backup-simplify]: Simplify (* x (* 27.0 y)) into (* 27.0 (* x y)) 0.180 * [approximate]: Taking taylor expansion of (* 27.0 (* x y)) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in y 0.180 * [taylor]: Taking taylor expansion of 27.0 in y 0.180 * [backup-simplify]: Simplify 27.0 into 27.0 0.180 * [taylor]: Taking taylor expansion of (* x y) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [backup-simplify]: Simplify x into x 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.180 * [taylor]: Taking taylor expansion of 27.0 in x 0.180 * [backup-simplify]: Simplify 27.0 into 27.0 0.180 * [taylor]: Taking taylor expansion of (* x y) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.180 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.180 * [taylor]: Taking taylor expansion of 27.0 in x 0.180 * [backup-simplify]: Simplify 27.0 into 27.0 0.180 * [taylor]: Taking taylor expansion of (* x y) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.180 * [backup-simplify]: Simplify (* 0 y) into 0 0.181 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.182 * [backup-simplify]: Simplify (+ (* 27.0 y) (* 0 0)) into (* 27.0 y) 0.182 * [taylor]: Taking taylor expansion of (* 27.0 y) in y 0.182 * [taylor]: Taking taylor expansion of 27.0 in y 0.182 * [backup-simplify]: Simplify 27.0 into 27.0 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.183 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 y) (* 0 0))) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 27.0 1) (* 0 0)) into 27.0 0.184 * [backup-simplify]: Simplify 27.0 into 27.0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 1) (* 0 0))) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (* 27.0 (* y x)) into (* 27.0 (* x y)) 0.188 * [backup-simplify]: Simplify (* (/ 1 x) (* 27.0 (/ 1 y))) into (/ 27.0 (* x y)) 0.188 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.188 * [taylor]: Taking taylor expansion of 27.0 in y 0.188 * [backup-simplify]: Simplify 27.0 into 27.0 0.188 * [taylor]: Taking taylor expansion of (* x y) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [backup-simplify]: Simplify x into x 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* x 0) into 0 0.189 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.189 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.189 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.189 * [taylor]: Taking taylor expansion of 27.0 in x 0.189 * [backup-simplify]: Simplify 27.0 into 27.0 0.189 * [taylor]: Taking taylor expansion of (* x y) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [backup-simplify]: Simplify y into y 0.189 * [backup-simplify]: Simplify (* 0 y) into 0 0.189 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.189 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.189 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.189 * [taylor]: Taking taylor expansion of 27.0 in x 0.189 * [backup-simplify]: Simplify 27.0 into 27.0 0.189 * [taylor]: Taking taylor expansion of (* x y) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [backup-simplify]: Simplify y into y 0.189 * [backup-simplify]: Simplify (* 0 y) into 0 0.190 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.190 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.190 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.190 * [taylor]: Taking taylor expansion of 27.0 in y 0.190 * [backup-simplify]: Simplify 27.0 into 27.0 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.190 * [backup-simplify]: Simplify 27.0 into 27.0 0.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.191 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 27.0 (* x y)) 0.197 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* 27.0 (/ 1 (- y)))) into (/ 27.0 (* x y)) 0.197 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.197 * [taylor]: Taking taylor expansion of 27.0 in y 0.197 * [backup-simplify]: Simplify 27.0 into 27.0 0.197 * [taylor]: Taking taylor expansion of (* x y) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [backup-simplify]: Simplify x into x 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* x 0) into 0 0.198 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.198 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.198 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.198 * [taylor]: Taking taylor expansion of 27.0 in x 0.198 * [backup-simplify]: Simplify 27.0 into 27.0 0.198 * [taylor]: Taking taylor expansion of (* x y) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (* 0 y) into 0 0.198 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.198 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.198 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.198 * [taylor]: Taking taylor expansion of 27.0 in x 0.198 * [backup-simplify]: Simplify 27.0 into 27.0 0.199 * [taylor]: Taking taylor expansion of (* x y) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [backup-simplify]: Simplify y into y 0.199 * [backup-simplify]: Simplify (* 0 y) into 0 0.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.199 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.199 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.199 * [taylor]: Taking taylor expansion of 27.0 in y 0.199 * [backup-simplify]: Simplify 27.0 into 27.0 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.199 * [backup-simplify]: Simplify 27.0 into 27.0 0.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.200 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.201 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.203 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 27.0 (* x y)) 0.204 * * * [progress]: simplifying candidates 0.204 * [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)) 0.204 * [simplify]: Sending expressions to egg_math: (* h0 (* h1 h2)) (* h0 (* h1 h2)) (+ (log h0) (+ (log h1) (log h2))) (+ (log h0) (log (* h1 h2))) (log (* h0 (* h1 h2))) (exp (* h0 (* h1 h2))) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h2 h2) h2))) (* (* (* h0 h0) h0) (* (* (* h1 h2) (* h1 h2)) (* h1 h2))) (* (cbrt (* h0 (* h1 h2))) (cbrt (* h0 (* h1 h2)))) (cbrt (* h0 (* h1 h2))) (* (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (* h0 (* h1 h2))) (sqrt (* h0 (* h1 h2))) (sqrt (* h0 (* h1 h2))) (* h0 h1) (* (cbrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (* h0 (* h1 h2)) (* h1 (* h0 h2)) (* h1 (* h0 h2)) (* h1 (* h0 h2)) 0.207 * * [simplify]: iteration 0 : 91 enodes (cost 71 ) 0.210 * * [simplify]: iteration 1 : 358 enodes (cost 56 ) 0.219 * * [simplify]: iteration 2 : 1451 enodes (cost 56 ) 0.248 * * [simplify]: iteration 3 : 3752 enodes (cost 56 ) 0.292 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.293 * * * [progress]: adding candidates to table 0.315 * * [progress]: iteration 3 / 4 0.315 * * * [progress]: picking best candidate 0.320 * * * * [pick]: Picked # 0.320 * * * [progress]: localizing error 0.323 * * * [progress]: generating rewritten candidates 0.323 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.341 * * * [progress]: generating series expansions 0.341 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.341 * [backup-simplify]: Simplify (* 27.0 (* x y)) into (* 27.0 (* x y)) 0.341 * [approximate]: Taking taylor expansion of (* 27.0 (* x y)) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in y 0.341 * [taylor]: Taking taylor expansion of 27.0 in y 0.341 * [backup-simplify]: Simplify 27.0 into 27.0 0.341 * [taylor]: Taking taylor expansion of (* x y) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [backup-simplify]: Simplify x into x 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.342 * [taylor]: Taking taylor expansion of 27.0 in x 0.342 * [backup-simplify]: Simplify 27.0 into 27.0 0.342 * [taylor]: Taking taylor expansion of (* x y) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [backup-simplify]: Simplify y into y 0.342 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.342 * [taylor]: Taking taylor expansion of 27.0 in x 0.342 * [backup-simplify]: Simplify 27.0 into 27.0 0.342 * [taylor]: Taking taylor expansion of (* x y) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [backup-simplify]: Simplify y into y 0.342 * [backup-simplify]: Simplify (* 0 y) into 0 0.342 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.343 * [backup-simplify]: Simplify (+ (* 27.0 y) (* 0 0)) into (* 27.0 y) 0.343 * [taylor]: Taking taylor expansion of (* 27.0 y) in y 0.343 * [taylor]: Taking taylor expansion of 27.0 in y 0.343 * [backup-simplify]: Simplify 27.0 into 27.0 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 y) (* 0 0))) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (+ (* 27.0 1) (* 0 0)) into 27.0 0.345 * [backup-simplify]: Simplify 27.0 into 27.0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 1) (* 0 0))) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (* 27.0 (* y x)) into (* 27.0 (* x y)) 0.349 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 x) (/ 1 y))) into (/ 27.0 (* x y)) 0.349 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.349 * [taylor]: Taking taylor expansion of 27.0 in y 0.349 * [backup-simplify]: Simplify 27.0 into 27.0 0.349 * [taylor]: Taking taylor expansion of (* x y) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [backup-simplify]: Simplify x into x 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* x 0) into 0 0.349 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.349 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.349 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.349 * [taylor]: Taking taylor expansion of 27.0 in x 0.349 * [backup-simplify]: Simplify 27.0 into 27.0 0.349 * [taylor]: Taking taylor expansion of (* x y) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [backup-simplify]: Simplify y into y 0.350 * [backup-simplify]: Simplify (* 0 y) into 0 0.350 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.350 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.350 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.350 * [taylor]: Taking taylor expansion of 27.0 in x 0.350 * [backup-simplify]: Simplify 27.0 into 27.0 0.350 * [taylor]: Taking taylor expansion of (* x y) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [backup-simplify]: Simplify y into y 0.350 * [backup-simplify]: Simplify (* 0 y) into 0 0.350 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.350 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.350 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.350 * [taylor]: Taking taylor expansion of 27.0 in y 0.350 * [backup-simplify]: Simplify 27.0 into 27.0 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.351 * [backup-simplify]: Simplify 27.0 into 27.0 0.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.351 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.353 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 27.0 (* x y)) 0.355 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 27.0 (* x y)) 0.355 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.355 * [taylor]: Taking taylor expansion of 27.0 in y 0.355 * [backup-simplify]: Simplify 27.0 into 27.0 0.355 * [taylor]: Taking taylor expansion of (* x y) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [backup-simplify]: Simplify x into x 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* x 0) into 0 0.355 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.355 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.355 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.356 * [taylor]: Taking taylor expansion of 27.0 in x 0.356 * [backup-simplify]: Simplify 27.0 into 27.0 0.356 * [taylor]: Taking taylor expansion of (* x y) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [backup-simplify]: Simplify y into y 0.356 * [backup-simplify]: Simplify (* 0 y) into 0 0.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.356 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.356 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.356 * [taylor]: Taking taylor expansion of 27.0 in x 0.356 * [backup-simplify]: Simplify 27.0 into 27.0 0.356 * [taylor]: Taking taylor expansion of (* x y) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [backup-simplify]: Simplify y into y 0.356 * [backup-simplify]: Simplify (* 0 y) into 0 0.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.356 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.356 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.356 * [taylor]: Taking taylor expansion of 27.0 in y 0.356 * [backup-simplify]: Simplify 27.0 into 27.0 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.357 * [backup-simplify]: Simplify 27.0 into 27.0 0.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.357 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 27.0 (* x y)) 0.361 * * * [progress]: simplifying candidates 0.361 * [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)) 0.361 * [simplify]: Sending expressions to egg_math: (* h0 (* h1 h2)) (* h0 (* h1 h2)) (+ (log h0) (+ (log h1) (log h2))) (+ (log h0) (log (* h1 h2))) (log (* h0 (* h1 h2))) (exp (* h0 (* h1 h2))) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h2 h2) h2))) (* (* (* h0 h0) h0) (* (* (* h1 h2) (* h1 h2)) (* h1 h2))) (* (cbrt (* h0 (* h1 h2))) (cbrt (* h0 (* h1 h2)))) (cbrt (* h0 (* h1 h2))) (* (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (* h0 (* h1 h2))) (sqrt (* h0 (* h1 h2))) (sqrt (* h0 (* h1 h2))) (* h0 h1) (* (cbrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (* h0 (* h1 h2)) 0.364 * * [simplify]: iteration 0 : 86 enodes (cost 71 ) 0.367 * * [simplify]: iteration 1 : 318 enodes (cost 56 ) 0.373 * * [simplify]: iteration 2 : 1232 enodes (cost 56 ) 0.396 * * [simplify]: iteration 3 : 3436 enodes (cost 56 ) 0.438 * * [simplify]: iteration 4 : 5002 enodes (cost 56 ) 0.439 * * * [progress]: adding candidates to table 0.459 * * [progress]: iteration 4 / 4 0.459 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.464 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.470 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.490 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.540 * * * [progress]: generating series expansions 0.540 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.541 * [backup-simplify]: Simplify (* (sqrt 27.0) (* x y)) into (* (sqrt 27.0) (* x y)) 0.541 * [approximate]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in (x y) around 0 0.541 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in y 0.541 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.541 * [taylor]: Taking taylor expansion of 27.0 in y 0.541 * [backup-simplify]: Simplify 27.0 into 27.0 0.541 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.542 * [taylor]: Taking taylor expansion of (* x y) in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [backup-simplify]: Simplify x into x 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in x 0.542 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.542 * [taylor]: Taking taylor expansion of 27.0 in x 0.542 * [backup-simplify]: Simplify 27.0 into 27.0 0.542 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.543 * [taylor]: Taking taylor expansion of (* x y) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [backup-simplify]: Simplify y into y 0.543 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in x 0.543 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.543 * [taylor]: Taking taylor expansion of 27.0 in x 0.543 * [backup-simplify]: Simplify 27.0 into 27.0 0.543 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.543 * [taylor]: Taking taylor expansion of (* x y) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [backup-simplify]: Simplify y into y 0.544 * [backup-simplify]: Simplify (* 0 y) into 0 0.544 * [backup-simplify]: Simplify (* (sqrt 27.0) 0) into 0 0.544 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.545 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) y) (* 0 0)) into (* (sqrt 27.0) y) 0.545 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) y) in y 0.545 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.545 * [taylor]: Taking taylor expansion of 27.0 in y 0.545 * [backup-simplify]: Simplify 27.0 into 27.0 0.545 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* (sqrt 27.0) 0) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.548 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 y) (* 0 0))) into 0 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 1) (* 0 0)) into (sqrt 27.0) 0.550 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.552 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.553 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 1) (* 0 0))) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.556 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (* (sqrt 27.0) (* y x)) into (* (sqrt 27.0) (* x y)) 0.556 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 x) (/ 1 y))) into (/ (sqrt 27.0) (* x y)) 0.556 * [approximate]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in (x y) around 0 0.556 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in y 0.556 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.556 * [taylor]: Taking taylor expansion of 27.0 in y 0.556 * [backup-simplify]: Simplify 27.0 into 27.0 0.557 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.557 * [taylor]: Taking taylor expansion of (* x y) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [backup-simplify]: Simplify x into x 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* x 0) into 0 0.557 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.558 * [backup-simplify]: Simplify (/ (sqrt 27.0) x) into (/ (sqrt 27.0) x) 0.558 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.558 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.558 * [taylor]: Taking taylor expansion of 27.0 in x 0.558 * [backup-simplify]: Simplify 27.0 into 27.0 0.558 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.558 * [taylor]: Taking taylor expansion of (* x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [taylor]: Taking taylor expansion of y in x 0.559 * [backup-simplify]: Simplify y into y 0.559 * [backup-simplify]: Simplify (* 0 y) into 0 0.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.559 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.559 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.559 * [taylor]: Taking taylor expansion of 27.0 in x 0.559 * [backup-simplify]: Simplify 27.0 into 27.0 0.559 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.560 * [taylor]: Taking taylor expansion of (* x y) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [backup-simplify]: Simplify y into y 0.560 * [backup-simplify]: Simplify (* 0 y) into 0 0.560 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.560 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.560 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) y) in y 0.561 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.561 * [taylor]: Taking taylor expansion of 27.0 in y 0.561 * [backup-simplify]: Simplify 27.0 into 27.0 0.561 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (/ (sqrt 27.0) 1) into (sqrt 27.0) 0.562 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.563 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.563 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)))) 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 1) (+ (* (sqrt 27.0) (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.565 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.568 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) 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 0 into 0 0.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* (sqrt 27.0) (* x y)) 0.571 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 (- x)) (/ 1 (- y)))) into (/ (sqrt 27.0) (* x y)) 0.571 * [approximate]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in y 0.571 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.571 * [taylor]: Taking taylor expansion of 27.0 in y 0.571 * [backup-simplify]: Simplify 27.0 into 27.0 0.571 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.571 * [taylor]: Taking taylor expansion of (* x y) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [backup-simplify]: Simplify x into x 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* x 0) into 0 0.572 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.572 * [backup-simplify]: Simplify (/ (sqrt 27.0) x) into (/ (sqrt 27.0) x) 0.572 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.572 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.572 * [taylor]: Taking taylor expansion of 27.0 in x 0.572 * [backup-simplify]: Simplify 27.0 into 27.0 0.572 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.573 * [taylor]: Taking taylor expansion of (* x y) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [backup-simplify]: Simplify y into y 0.573 * [backup-simplify]: Simplify (* 0 y) into 0 0.573 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.573 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.573 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.573 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.573 * [taylor]: Taking taylor expansion of 27.0 in x 0.573 * [backup-simplify]: Simplify 27.0 into 27.0 0.574 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.574 * [taylor]: Taking taylor expansion of (* x y) 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 * [taylor]: Taking taylor expansion of y in x 0.574 * [backup-simplify]: Simplify y into y 0.574 * [backup-simplify]: Simplify (* 0 y) into 0 0.574 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.575 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.575 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) y) in y 0.575 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.575 * [taylor]: Taking taylor expansion of 27.0 in y 0.575 * [backup-simplify]: Simplify 27.0 into 27.0 0.575 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (/ (sqrt 27.0) 1) into (sqrt 27.0) 0.576 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)))) into 0 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.579 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* (sqrt 27.0) (* x y)) 0.584 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.585 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (sqrt 27.0) (* x y))) into (* (pow (sqrt 27.0) 2) (* x y)) 0.585 * [approximate]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in (x y) around 0 0.585 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in y 0.585 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.585 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.585 * [taylor]: Taking taylor expansion of 27.0 in y 0.585 * [backup-simplify]: Simplify 27.0 into 27.0 0.585 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.586 * [taylor]: Taking taylor expansion of (* x y) in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.586 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in x 0.586 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.586 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.586 * [taylor]: Taking taylor expansion of 27.0 in x 0.586 * [backup-simplify]: Simplify 27.0 into 27.0 0.586 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.586 * [taylor]: Taking taylor expansion of (* x y) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [backup-simplify]: Simplify y into y 0.587 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in x 0.587 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.587 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.587 * [taylor]: Taking taylor expansion of 27.0 in x 0.587 * [backup-simplify]: Simplify 27.0 into 27.0 0.587 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.587 * [taylor]: Taking taylor expansion of (* x y) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [backup-simplify]: Simplify y into y 0.588 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.588 * [backup-simplify]: Simplify (* 0 y) into 0 0.589 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) 0) into 0 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.589 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.590 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) y) (* 0 0)) into (* (pow (sqrt 27.0) 2) y) 0.590 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) y) in y 0.590 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.590 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.590 * [taylor]: Taking taylor expansion of 27.0 in y 0.590 * [backup-simplify]: Simplify 27.0 into 27.0 0.591 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.592 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) 0) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.594 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 y) (* 0 0))) into 0 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.597 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 1) (* 0 0)) into (pow (sqrt 27.0) 2) 0.597 * [backup-simplify]: Simplify (pow (sqrt 27.0) 2) into (pow (sqrt 27.0) 2) 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.600 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.600 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.602 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.602 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 1) (* 0 0))) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.605 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0)))))) into 0 0.606 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) (* y x)) into (* (pow (sqrt 27.0) 2) (* x y)) 0.607 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (sqrt 27.0) (* (/ 1 x) (/ 1 y)))) into (/ (pow (sqrt 27.0) 2) (* x y)) 0.607 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in y 0.607 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.607 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.607 * [taylor]: Taking taylor expansion of 27.0 in y 0.607 * [backup-simplify]: Simplify 27.0 into 27.0 0.608 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.608 * [taylor]: Taking taylor expansion of (* x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [backup-simplify]: Simplify x into x 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.609 * [backup-simplify]: Simplify (* x 0) into 0 0.609 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.610 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) x) into (/ (pow (sqrt 27.0) 2) x) 0.610 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.610 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.610 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.610 * [taylor]: Taking taylor expansion of 27.0 in x 0.610 * [backup-simplify]: Simplify 27.0 into 27.0 0.610 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.611 * [taylor]: Taking taylor expansion of (* x y) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [backup-simplify]: Simplify y into y 0.612 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.612 * [backup-simplify]: Simplify (* 0 y) into 0 0.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.612 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.613 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.613 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.613 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.613 * [taylor]: Taking taylor expansion of 27.0 in x 0.613 * [backup-simplify]: Simplify 27.0 into 27.0 0.613 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.613 * [taylor]: Taking taylor expansion of (* x 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 y in x 0.613 * [backup-simplify]: Simplify y into y 0.614 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.614 * [backup-simplify]: Simplify (* 0 y) into 0 0.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.615 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.616 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) y) in y 0.616 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.616 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.616 * [taylor]: Taking taylor expansion of 27.0 in y 0.616 * [backup-simplify]: Simplify 27.0 into 27.0 0.616 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.618 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) 1) into (pow (sqrt 27.0) 2) 0.619 * [backup-simplify]: Simplify (pow (sqrt 27.0) 2) into (pow (sqrt 27.0) 2) 0.619 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.620 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)))) into 0 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.623 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.625 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.628 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.633 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.635 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* (pow (sqrt 27.0) 2) (* x y)) 0.637 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (sqrt 27.0) (* (/ 1 (- x)) (/ 1 (- y))))) into (/ (pow (sqrt 27.0) 2) (* x y)) 0.637 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in (x y) around 0 0.637 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in y 0.637 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.637 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.637 * [taylor]: Taking taylor expansion of 27.0 in y 0.637 * [backup-simplify]: Simplify 27.0 into 27.0 0.637 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.637 * [taylor]: Taking taylor expansion of (* x y) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.638 * [backup-simplify]: Simplify x into x 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.638 * [backup-simplify]: Simplify (* x 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.639 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) x) into (/ (pow (sqrt 27.0) 2) x) 0.639 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.639 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.639 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.639 * [taylor]: Taking taylor expansion of 27.0 in x 0.639 * [backup-simplify]: Simplify 27.0 into 27.0 0.639 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.640 * [taylor]: Taking taylor expansion of (* x y) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [backup-simplify]: Simplify y into y 0.641 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.641 * [backup-simplify]: Simplify (* 0 y) into 0 0.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.642 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.642 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.642 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.642 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.642 * [taylor]: Taking taylor expansion of 27.0 in x 0.642 * [backup-simplify]: Simplify 27.0 into 27.0 0.642 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.642 * [taylor]: Taking taylor expansion of (* x y) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [backup-simplify]: Simplify y into y 0.643 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.643 * [backup-simplify]: Simplify (* 0 y) into 0 0.643 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.644 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.644 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) y) in y 0.644 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.644 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.644 * [taylor]: Taking taylor expansion of 27.0 in y 0.644 * [backup-simplify]: Simplify 27.0 into 27.0 0.644 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.647 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) 1) into (pow (sqrt 27.0) 2) 0.647 * [backup-simplify]: Simplify (pow (sqrt 27.0) 2) into (pow (sqrt 27.0) 2) 0.648 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.649 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)))) into 0 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.652 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.653 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.654 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.656 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.658 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.660 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* (pow (sqrt 27.0) 2) (* x y)) 0.661 * * * [progress]: simplifying candidates 0.662 * [simplify]: Simplifying: (* (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)) (* (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)) (* (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)) 0.662 * [simplify]: Sending expressions to egg_math: (* (sqrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (+ (log (sqrt h0)) (+ (log h1) (log h2))) (+ (log (sqrt h0)) (log (* h1 h2))) (log (* (sqrt h0) (* h1 h2))) (exp (* (sqrt h0) (* h1 h2))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (* h1 h1) h1) (* (* h2 h2) h2))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (* h1 h2) (* h1 h2)) (* h1 h2))) (* (cbrt (* (sqrt h0) (* h1 h2))) (cbrt (* (sqrt h0) (* h1 h2)))) (cbrt (* (sqrt h0) (* h1 h2))) (* (* (* (sqrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2))) (* (sqrt h0) (* h1 h2))) (sqrt (* (sqrt h0) (* h1 h2))) (sqrt (* (sqrt h0) (* h1 h2))) (* (sqrt h0) h1) (* (cbrt (sqrt h0)) (* h1 h2)) (* (sqrt (cbrt h0)) (* h1 h2)) (* (sqrt (sqrt h0)) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (* (sqrt (sqrt h0)) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (* (sqrt h0) (* (sqrt h0) (* h1 h2))) (* (sqrt h0) (* (sqrt h0) (* h1 h2))) (* (sqrt h0) (* (sqrt h0) (* h1 h2))) (+ (log (sqrt h0)) (+ (log (sqrt h0)) (+ (log h1) (log h2)))) (+ (log (sqrt h0)) (+ (log (sqrt h0)) (log (* h1 h2)))) (+ (log (sqrt h0)) (log (* (sqrt h0) (* h1 h2)))) (log (* (sqrt h0) (* (sqrt h0) (* h1 h2)))) (exp (* (sqrt h0) (* (sqrt h0) (* h1 h2)))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (* h1 h1) h1) (* (* h2 h2) h2)))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (* h1 h2) (* h1 h2)) (* h1 h2)))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (* (sqrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2))) (* (sqrt h0) (* h1 h2)))) (* (cbrt (* (sqrt h0) (* (sqrt h0) (* h1 h2)))) (cbrt (* (sqrt h0) (* (sqrt h0) (* h1 h2))))) (cbrt (* (sqrt h0) (* (sqrt h0) (* h1 h2)))) (* (* (* (sqrt h0) (* (sqrt h0) (* h1 h2))) (* (sqrt h0) (* (sqrt h0) (* h1 h2)))) (* (sqrt h0) (* (sqrt h0) (* h1 h2)))) (sqrt (* (sqrt h0) (* (sqrt h0) (* h1 h2)))) (sqrt (* (sqrt h0) (* (sqrt h0) (* h1 h2)))) (* (sqrt h0) (sqrt h0)) (* (cbrt (sqrt h0)) (* (sqrt h0) (* h1 h2))) (* (sqrt (cbrt h0)) (* (sqrt h0) (* h1 h2))) (* (sqrt (sqrt h0)) (* (sqrt h0) (* h1 h2))) (* (sqrt h0) (* (sqrt h0) (* h1 h2))) (* (sqrt (sqrt h0)) (* (sqrt h0) (* h1 h2))) (* (sqrt h0) (* (sqrt h0) (* h1 h2))) (* (sqrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (* (pow (sqrt h0) 2) (* h1 h2)) (* (pow (sqrt h0) 2) (* h1 h2)) (* (pow (sqrt h0) 2) (* h1 h2)) 0.665 * * [simplify]: iteration 0 : 158 enodes (cost 242 ) 0.670 * * [simplify]: iteration 1 : 674 enodes (cost 190 ) 0.688 * * [simplify]: iteration 2 : 3455 enodes (cost 190 ) 0.765 * * [simplify]: iteration 3 : 5002 enodes (cost 186 ) 0.766 * * * [progress]: adding candidates to table 0.831 * [progress]: [Phase 3 of 3] Extracting. 0.831 * * [regime]: Finding splitpoints for: (# # # # # #) 0.832 * * * [regime-changes]: Trying 4 branch expressions: ((* x 27.0) (* (* x 27.0) y) y x) 0.832 * * * * [regimes]: Trying to branch on (* x 27.0) from (# # # # # #) 0.851 * * * * [regimes]: Trying to branch on (* x 27.0) from (# #) 0.861 * * * * [regimes]: Trying to branch on (* (* x 27.0) y) from (# # # # # #) 0.881 * * * * [regimes]: Trying to branch on (* (* x 27.0) y) from (# #) 0.891 * * * * [regimes]: Trying to branch on y from (# # # # # #) 0.908 * * * * [regimes]: Trying to branch on x from (# # # # # #) 0.927 * * * [regime]: Found split indices: #