9.855 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [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 ) 0.016 * * [simplify]: iteration 1 : 16 enodes (cost 2 ) 0.017 * * [simplify]: iteration 2 : 18 enodes (cost 2 ) 0.019 * * [simplify]: iteration 3 : 18 enodes (cost 2 ) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [backup-simplify]: Simplify (* (* x 27.0) y) into (* 27.0 (* x y)) 0.040 * [approximate]: Taking taylor expansion of (* 27.0 (* x y)) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in y 0.040 * [taylor]: Taking taylor expansion of 27.0 in y 0.040 * [backup-simplify]: Simplify 27.0 into 27.0 0.040 * [taylor]: Taking taylor expansion of (* x y) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [backup-simplify]: Simplify x into x 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.040 * [taylor]: Taking taylor expansion of 27.0 in x 0.040 * [backup-simplify]: Simplify 27.0 into 27.0 0.040 * [taylor]: Taking taylor expansion of (* x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [backup-simplify]: Simplify y into y 0.040 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.040 * [taylor]: Taking taylor expansion of 27.0 in x 0.040 * [backup-simplify]: Simplify 27.0 into 27.0 0.040 * [taylor]: Taking taylor expansion of (* x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [backup-simplify]: Simplify y into y 0.040 * [backup-simplify]: Simplify (* 0 y) into 0 0.041 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.041 * [backup-simplify]: Simplify (+ (* 27.0 y) (* 0 0)) into (* 27.0 y) 0.041 * [taylor]: Taking taylor expansion of (* 27.0 y) in y 0.041 * [taylor]: Taking taylor expansion of 27.0 in y 0.042 * [backup-simplify]: Simplify 27.0 into 27.0 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.043 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 y) (* 0 0))) into 0 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* 27.0 1) (* 0 0)) into 27.0 0.044 * [backup-simplify]: Simplify 27.0 into 27.0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.045 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 1) (* 0 0))) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.047 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (* 27.0 (* y x)) into (* 27.0 (* x y)) 0.048 * [backup-simplify]: Simplify (* (* (/ 1 x) 27.0) (/ 1 y)) into (/ 27.0 (* x y)) 0.048 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.048 * [taylor]: Taking taylor expansion of 27.0 in y 0.048 * [backup-simplify]: Simplify 27.0 into 27.0 0.048 * [taylor]: Taking taylor expansion of (* x y) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [backup-simplify]: Simplify x into x 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* x 0) into 0 0.048 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.048 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.048 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.048 * [taylor]: Taking taylor expansion of 27.0 in x 0.048 * [backup-simplify]: Simplify 27.0 into 27.0 0.048 * [taylor]: Taking taylor expansion of (* x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [backup-simplify]: Simplify y into y 0.048 * [backup-simplify]: Simplify (* 0 y) into 0 0.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.049 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.049 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.049 * [taylor]: Taking taylor expansion of 27.0 in x 0.049 * [backup-simplify]: Simplify 27.0 into 27.0 0.049 * [taylor]: Taking taylor expansion of (* x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (* 0 y) into 0 0.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.049 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.049 * [taylor]: Taking taylor expansion of (/ 27.0 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 y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.049 * [backup-simplify]: Simplify 27.0 into 27.0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.050 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 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 0) (* 0 y))))) into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 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 into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 27.0 (* x y)) 0.054 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) 27.0) (/ 1 (- y))) into (/ 27.0 (* x y)) 0.054 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.054 * [taylor]: Taking taylor expansion of 27.0 in y 0.054 * [backup-simplify]: Simplify 27.0 into 27.0 0.054 * [taylor]: Taking taylor expansion of (* x y) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (* x 0) into 0 0.054 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.054 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.054 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of 27.0 in x 0.054 * [backup-simplify]: Simplify 27.0 into 27.0 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (* 0 y) into 0 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.055 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.055 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of 27.0 in x 0.055 * [backup-simplify]: Simplify 27.0 into 27.0 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [backup-simplify]: Simplify y into y 0.055 * [backup-simplify]: Simplify (* 0 y) into 0 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.055 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.055 * [taylor]: Taking taylor expansion of (/ 27.0 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 y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.056 * [backup-simplify]: Simplify 27.0 into 27.0 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 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 into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 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 0) (* 0 y))))) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 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 into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 27.0 (* x y)) 0.060 * * * [progress]: simplifying candidates 0.060 * [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)) 0.060 * [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)) 0.063 * * [simplify]: iteration 0 : 101 enodes (cost 72 ) 0.066 * * [simplify]: iteration 1 : 502 enodes (cost 57 ) 0.077 * * [simplify]: iteration 2 : 2460 enodes (cost 57 ) 0.125 * * [simplify]: iteration 3 : 5001 enodes (cost 57 ) 0.126 * * * [progress]: adding candidates to table 0.156 * * [progress]: iteration 2 / 4 0.156 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.161 * * * [progress]: localizing error 0.166 * * * [progress]: generating rewritten candidates 0.166 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.182 * [backup-simplify]: Simplify (* 27.0 (* x y)) into (* 27.0 (* x y)) 0.182 * [approximate]: Taking taylor expansion of (* 27.0 (* x y)) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (* 27.0 (* x 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 (* x y) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.182 * [taylor]: Taking taylor expansion of 27.0 in x 0.182 * [backup-simplify]: Simplify 27.0 into 27.0 0.182 * [taylor]: Taking taylor expansion of (* x y) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.182 * [taylor]: Taking taylor expansion of 27.0 in x 0.182 * [backup-simplify]: Simplify 27.0 into 27.0 0.182 * [taylor]: Taking taylor expansion of (* x y) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (* 0 y) into 0 0.183 * [backup-simplify]: Simplify (* 27.0 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 0.183 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.183 * [backup-simplify]: Simplify (+ (* 27.0 y) (* 0 0)) into (* 27.0 y) 0.183 * [taylor]: Taking taylor expansion of (* 27.0 y) in y 0.183 * [taylor]: Taking taylor expansion of 27.0 in y 0.183 * [backup-simplify]: Simplify 27.0 into 27.0 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 y) (* 0 0))) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 27.0 1) (* 0 0)) into 27.0 0.186 * [backup-simplify]: Simplify 27.0 into 27.0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.187 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 1) (* 0 0))) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (* 27.0 (* y x)) into (* 27.0 (* x y)) 0.190 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 x) (/ 1 y))) into (/ 27.0 (* x y)) 0.190 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (/ 27.0 (* x 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 (* x y) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [backup-simplify]: Simplify x into x 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 (* x 0) into 0 0.190 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.190 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.190 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.190 * [taylor]: Taking taylor expansion of 27.0 in x 0.190 * [backup-simplify]: Simplify 27.0 into 27.0 0.190 * [taylor]: Taking taylor expansion of (* x y) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [backup-simplify]: Simplify y into y 0.190 * [backup-simplify]: Simplify (* 0 y) into 0 0.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.191 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.191 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.191 * [taylor]: Taking taylor expansion of 27.0 in x 0.191 * [backup-simplify]: Simplify 27.0 into 27.0 0.191 * [taylor]: Taking taylor expansion of (* x y) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (* 0 y) into 0 0.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.191 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.191 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.191 * [taylor]: Taking taylor expansion of 27.0 in y 0.191 * [backup-simplify]: Simplify 27.0 into 27.0 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.191 * [backup-simplify]: Simplify 27.0 into 27.0 0.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 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 1) (+ (* 27.0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.193 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 27.0 (* x y)) 0.199 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 27.0 (* x y)) 0.199 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (/ 27.0 (* x 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 (* x y) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [backup-simplify]: Simplify x into x 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 (* x 0) into 0 0.199 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.200 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.200 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.200 * [taylor]: Taking taylor expansion of 27.0 in x 0.200 * [backup-simplify]: Simplify 27.0 into 27.0 0.200 * [taylor]: Taking taylor expansion of (* x y) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [backup-simplify]: Simplify y into y 0.200 * [backup-simplify]: Simplify (* 0 y) into 0 0.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.200 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.200 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.200 * [taylor]: Taking taylor expansion of 27.0 in x 0.200 * [backup-simplify]: Simplify 27.0 into 27.0 0.200 * [taylor]: Taking taylor expansion of (* x y) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [backup-simplify]: Simplify y into y 0.200 * [backup-simplify]: Simplify (* 0 y) into 0 0.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.200 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.201 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.201 * [taylor]: Taking taylor expansion of 27.0 in y 0.201 * [backup-simplify]: Simplify 27.0 into 27.0 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.201 * [backup-simplify]: Simplify 27.0 into 27.0 0.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.201 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.203 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 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 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.204 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 27.0 (* x y)) 0.205 * * * [progress]: simplifying candidates 0.206 * [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)) 0.206 * [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)) 0.208 * * [simplify]: iteration 0 : 86 enodes (cost 71 ) 0.210 * * [simplify]: iteration 1 : 318 enodes (cost 56 ) 0.217 * * [simplify]: iteration 2 : 1232 enodes (cost 56 ) 0.238 * * [simplify]: iteration 3 : 3436 enodes (cost 56 ) 0.278 * * [simplify]: iteration 4 : 5002 enodes (cost 56 ) 0.279 * * * [progress]: adding candidates to table 0.310 * * [progress]: iteration 3 / 4 0.310 * * * [progress]: picking best candidate 0.320 * * * * [pick]: Picked # 0.320 * * * [progress]: localizing error 0.334 * * * [progress]: generating rewritten candidates 0.334 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.374 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.449 * * * [progress]: generating series expansions 0.449 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.450 * [backup-simplify]: Simplify (* (sqrt 27.0) (* x y)) into (* (sqrt 27.0) (* x y)) 0.450 * [approximate]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in (x y) around 0 0.450 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in y 0.450 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.450 * [taylor]: Taking taylor expansion of 27.0 in y 0.450 * [backup-simplify]: Simplify 27.0 into 27.0 0.453 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.454 * [taylor]: Taking taylor expansion of (* x y) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [backup-simplify]: Simplify x into x 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in x 0.454 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.454 * [taylor]: Taking taylor expansion of 27.0 in x 0.454 * [backup-simplify]: Simplify 27.0 into 27.0 0.454 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.454 * [taylor]: Taking taylor expansion of (* x y) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [backup-simplify]: Simplify y into y 0.455 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) (* x y)) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.455 * [taylor]: Taking taylor expansion of 27.0 in x 0.455 * [backup-simplify]: Simplify 27.0 into 27.0 0.455 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.455 * [taylor]: Taking taylor expansion of (* x y) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [backup-simplify]: Simplify y into y 0.455 * [backup-simplify]: Simplify (* 0 y) into 0 0.456 * [backup-simplify]: Simplify (* (sqrt 27.0) 0) into 0 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.457 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) y) (* 0 0)) into (* (sqrt 27.0) y) 0.457 * [taylor]: Taking taylor expansion of (* (sqrt 27.0) y) in y 0.457 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.457 * [taylor]: Taking taylor expansion of 27.0 in y 0.457 * [backup-simplify]: Simplify 27.0 into 27.0 0.457 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* (sqrt 27.0) 0) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.459 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.459 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 y) (* 0 0))) into 0 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 1) (* 0 0)) into (sqrt 27.0) 0.461 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.463 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.464 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 1) (* 0 0))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.466 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.467 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (* (sqrt 27.0) (* y x)) into (* (sqrt 27.0) (* x y)) 0.467 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 x) (/ 1 y))) into (/ (sqrt 27.0) (* x y)) 0.467 * [approximate]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in (x y) around 0 0.467 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in y 0.467 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.468 * [taylor]: Taking taylor expansion of 27.0 in y 0.468 * [backup-simplify]: Simplify 27.0 into 27.0 0.468 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.468 * [taylor]: Taking taylor expansion of (* x y) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [backup-simplify]: Simplify x into x 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* x 0) into 0 0.469 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.469 * [backup-simplify]: Simplify (/ (sqrt 27.0) x) into (/ (sqrt 27.0) x) 0.469 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.469 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.469 * [taylor]: Taking taylor expansion of 27.0 in x 0.469 * [backup-simplify]: Simplify 27.0 into 27.0 0.469 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.470 * [taylor]: Taking taylor expansion of (* x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [backup-simplify]: Simplify y into y 0.470 * [backup-simplify]: Simplify (* 0 y) into 0 0.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.470 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.470 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.470 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.470 * [taylor]: Taking taylor expansion of 27.0 in x 0.470 * [backup-simplify]: Simplify 27.0 into 27.0 0.470 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.471 * [taylor]: Taking taylor expansion of (* x y) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [backup-simplify]: Simplify y into y 0.471 * [backup-simplify]: Simplify (* 0 y) into 0 0.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.471 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.472 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) y) in y 0.472 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.472 * [taylor]: Taking taylor expansion of 27.0 in y 0.472 * [backup-simplify]: Simplify 27.0 into 27.0 0.472 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ (sqrt 27.0) 1) into (sqrt 27.0) 0.473 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)))) into 0 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* (sqrt 27.0) (* x y)) 0.482 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 (- x)) (/ 1 (- y)))) into (/ (sqrt 27.0) (* x y)) 0.482 * [approximate]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in y 0.482 * [taylor]: Taking taylor expansion of (sqrt 27.0) 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 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.482 * [taylor]: Taking taylor expansion of (* x y) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [backup-simplify]: Simplify x into x 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* x 0) into 0 0.483 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.483 * [backup-simplify]: Simplify (/ (sqrt 27.0) x) into (/ (sqrt 27.0) x) 0.483 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.483 * [taylor]: Taking taylor expansion of (sqrt 27.0) 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 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.484 * [taylor]: Taking taylor expansion of (* x y) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [backup-simplify]: Simplify y into y 0.484 * [backup-simplify]: Simplify (* 0 y) into 0 0.484 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.484 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.484 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) (* x y)) in x 0.484 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.485 * [taylor]: Taking taylor expansion of 27.0 in x 0.485 * [backup-simplify]: Simplify 27.0 into 27.0 0.485 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.485 * [taylor]: Taking taylor expansion of (* x y) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [backup-simplify]: Simplify y into y 0.485 * [backup-simplify]: Simplify (* 0 y) into 0 0.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.486 * [backup-simplify]: Simplify (/ (sqrt 27.0) y) into (/ (sqrt 27.0) y) 0.486 * [taylor]: Taking taylor expansion of (/ (sqrt 27.0) y) in y 0.486 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.486 * [taylor]: Taking taylor expansion of 27.0 in y 0.486 * [backup-simplify]: Simplify 27.0 into 27.0 0.486 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ (sqrt 27.0) 1) into (sqrt 27.0) 0.487 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.488 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)))) into 0 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (sqrt 27.0) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 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 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 27.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* (sqrt 27.0) (* x y)) 0.495 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.496 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (sqrt 27.0) (* x y))) into (* (pow (sqrt 27.0) 2) (* x y)) 0.496 * [approximate]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in (x y) around 0 0.496 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in y 0.496 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.496 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.496 * [taylor]: Taking taylor expansion of 27.0 in y 0.496 * [backup-simplify]: Simplify 27.0 into 27.0 0.496 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.497 * [taylor]: Taking taylor expansion of (* x y) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [backup-simplify]: Simplify x into x 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in x 0.497 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.497 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.497 * [taylor]: Taking taylor expansion of 27.0 in x 0.497 * [backup-simplify]: Simplify 27.0 into 27.0 0.497 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.498 * [taylor]: Taking taylor expansion of (* x y) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [backup-simplify]: Simplify y into y 0.498 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) (* x y)) in x 0.498 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.498 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.498 * [taylor]: Taking taylor expansion of 27.0 in x 0.498 * [backup-simplify]: Simplify 27.0 into 27.0 0.498 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.498 * [taylor]: Taking taylor expansion of (* x y) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [backup-simplify]: Simplify y into y 0.499 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.499 * [backup-simplify]: Simplify (* 0 y) into 0 0.500 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) 0) into 0 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.500 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.501 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) y) (* 0 0)) into (* (pow (sqrt 27.0) 2) y) 0.501 * [taylor]: Taking taylor expansion of (* (pow (sqrt 27.0) 2) y) in y 0.501 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.501 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.501 * [taylor]: Taking taylor expansion of 27.0 in y 0.501 * [backup-simplify]: Simplify 27.0 into 27.0 0.502 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.502 * [taylor]: Taking taylor expansion of y in y 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.503 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) 0) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.505 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 y) (* 0 0))) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.508 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 1) (* 0 0)) into (pow (sqrt 27.0) 2) 0.508 * [backup-simplify]: Simplify (pow (sqrt 27.0) 2) into (pow (sqrt 27.0) 2) 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.510 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.511 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.513 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 1) (* 0 0))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.515 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.516 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0)))))) into 0 0.517 * [backup-simplify]: Simplify (+ (* (pow (sqrt 27.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) (* y x)) into (* (pow (sqrt 27.0) 2) (* x y)) 0.518 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (sqrt 27.0) (* (/ 1 x) (/ 1 y)))) into (/ (pow (sqrt 27.0) 2) (* x y)) 0.518 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in (x y) around 0 0.518 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in y 0.518 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.518 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.518 * [taylor]: Taking taylor expansion of 27.0 in y 0.518 * [backup-simplify]: Simplify 27.0 into 27.0 0.519 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.519 * [taylor]: Taking taylor expansion of (* x y) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [backup-simplify]: Simplify x into x 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.520 * [backup-simplify]: Simplify (* x 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.521 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) x) into (/ (pow (sqrt 27.0) 2) x) 0.521 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.521 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.521 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.521 * [taylor]: Taking taylor expansion of 27.0 in x 0.521 * [backup-simplify]: Simplify 27.0 into 27.0 0.521 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.522 * [taylor]: Taking taylor expansion of (* x y) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [backup-simplify]: Simplify y into y 0.522 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.522 * [backup-simplify]: Simplify (* 0 y) into 0 0.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.523 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.523 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.523 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.523 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.523 * [taylor]: Taking taylor expansion of 27.0 in x 0.523 * [backup-simplify]: Simplify 27.0 into 27.0 0.524 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.524 * [taylor]: Taking taylor expansion of (* x y) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [backup-simplify]: Simplify y into y 0.525 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.525 * [backup-simplify]: Simplify (* 0 y) into 0 0.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.526 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.526 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) y) in y 0.526 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.526 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.526 * [taylor]: Taking taylor expansion of 27.0 in y 0.526 * [backup-simplify]: Simplify 27.0 into 27.0 0.526 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.528 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) 1) into (pow (sqrt 27.0) 2) 0.529 * [backup-simplify]: Simplify (pow (sqrt 27.0) 2) into (pow (sqrt 27.0) 2) 0.529 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)))) into 0 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.533 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.536 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.538 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.540 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* (pow (sqrt 27.0) 2) (* x y)) 0.542 * [backup-simplify]: Simplify (* (sqrt 27.0) (* (sqrt 27.0) (* (/ 1 (- x)) (/ 1 (- y))))) into (/ (pow (sqrt 27.0) 2) (* x y)) 0.542 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in (x y) around 0 0.543 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in y 0.543 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in y 0.543 * [taylor]: Taking taylor expansion of (sqrt 27.0) in y 0.543 * [taylor]: Taking taylor expansion of 27.0 in y 0.543 * [backup-simplify]: Simplify 27.0 into 27.0 0.549 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.549 * [taylor]: Taking taylor expansion of (* x y) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [backup-simplify]: Simplify x into x 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.550 * [backup-simplify]: Simplify (* x 0) into 0 0.550 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.551 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) x) into (/ (pow (sqrt 27.0) 2) x) 0.551 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.551 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.551 * [taylor]: Taking taylor expansion of 27.0 in x 0.551 * [backup-simplify]: Simplify 27.0 into 27.0 0.551 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.552 * [taylor]: Taking taylor expansion of (* x y) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [backup-simplify]: Simplify y into y 0.552 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.552 * [backup-simplify]: Simplify (* 0 y) into 0 0.553 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.553 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.553 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) (* x y)) in x 0.553 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) in x 0.553 * [taylor]: Taking taylor expansion of (sqrt 27.0) in x 0.553 * [taylor]: Taking taylor expansion of 27.0 in x 0.553 * [backup-simplify]: Simplify 27.0 into 27.0 0.554 * [backup-simplify]: Simplify (sqrt 27.0) into (sqrt 27.0) 0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 27.0))) into 0 0.554 * [taylor]: Taking taylor expansion of (* x y) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [backup-simplify]: Simplify y into y 0.555 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.555 * [backup-simplify]: Simplify (* 0 y) into 0 0.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.556 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) y) into (/ (pow (sqrt 27.0) 2) y) 0.556 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 27.0) 2) y) in y 0.556 * [taylor]: Taking taylor expansion of (pow (sqrt 27.0) 2) 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 0.556 * [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 y in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* (sqrt 27.0) (sqrt 27.0)) into (pow (sqrt 27.0) 2) 0.558 * [backup-simplify]: Simplify (/ (pow (sqrt 27.0) 2) 1) into (pow (sqrt 27.0) 2) 0.559 * [backup-simplify]: Simplify (pow (sqrt 27.0) 2) into (pow (sqrt 27.0) 2) 0.559 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.560 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)))) into 0 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (* 0 (sqrt 27.0))) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.563 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.564 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 27.0))) into 0 0.565 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (* 0 (sqrt 27.0)))) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 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 (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.569 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (pow (sqrt 27.0) 2) 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 0.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 27.0))) into 0 0.571 * [backup-simplify]: Simplify (+ (* (sqrt 27.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 27.0))))) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 27.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (* (pow (sqrt 27.0) 2) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* (pow (sqrt 27.0) 2) (* x y)) 0.572 * * * [progress]: simplifying candidates 0.573 * [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)) 0.573 * [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)) 0.577 * * [simplify]: iteration 0 : 158 enodes (cost 242 ) 0.582 * * [simplify]: iteration 1 : 674 enodes (cost 190 ) 0.598 * * [simplify]: iteration 2 : 3455 enodes (cost 190 ) 0.671 * * [simplify]: iteration 3 : 5002 enodes (cost 186 ) 0.673 * * * [progress]: adding candidates to table 0.747 * * [progress]: iteration 4 / 4 0.747 * * * [progress]: picking best candidate 0.754 * * * * [pick]: Picked # 0.755 * * * [progress]: localizing error 0.758 * * * [progress]: generating rewritten candidates 0.758 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.778 * * * [progress]: generating series expansions 0.778 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.778 * [backup-simplify]: Simplify (* x (* 27.0 y)) into (* 27.0 (* x y)) 0.778 * [approximate]: Taking taylor expansion of (* 27.0 (* x y)) in (x y) around 0 0.778 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in y 0.778 * [taylor]: Taking taylor expansion of 27.0 in y 0.778 * [backup-simplify]: Simplify 27.0 into 27.0 0.778 * [taylor]: Taking taylor expansion of (* x y) in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [backup-simplify]: Simplify x into x 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.778 * [taylor]: Taking taylor expansion of 27.0 in x 0.778 * [backup-simplify]: Simplify 27.0 into 27.0 0.778 * [taylor]: Taking taylor expansion of (* x y) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [backup-simplify]: Simplify y into y 0.778 * [taylor]: Taking taylor expansion of (* 27.0 (* x y)) in x 0.778 * [taylor]: Taking taylor expansion of 27.0 in x 0.778 * [backup-simplify]: Simplify 27.0 into 27.0 0.778 * [taylor]: Taking taylor expansion of (* x y) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [backup-simplify]: Simplify y into y 0.778 * [backup-simplify]: Simplify (* 0 y) into 0 0.779 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.780 * [backup-simplify]: Simplify (+ (* 27.0 y) (* 0 0)) into (* 27.0 y) 0.780 * [taylor]: Taking taylor expansion of (* 27.0 y) in y 0.780 * [taylor]: Taking taylor expansion of 27.0 in y 0.780 * [backup-simplify]: Simplify 27.0 into 27.0 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (* 27.0 0) into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 y) (* 0 0))) into 0 0.781 * [taylor]: Taking taylor expansion of 0 in y 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* 27.0 1) (* 0 0)) into 27.0 0.782 * [backup-simplify]: Simplify 27.0 into 27.0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.783 * [taylor]: Taking taylor expansion of 0 in y 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 1) (* 0 0))) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.786 * [backup-simplify]: Simplify (+ (* 27.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.786 * [taylor]: Taking taylor expansion of 0 in y 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (* 27.0 (* y x)) into (* 27.0 (* x y)) 0.786 * [backup-simplify]: Simplify (* (/ 1 x) (* 27.0 (/ 1 y))) into (/ 27.0 (* x y)) 0.786 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.786 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.786 * [taylor]: Taking taylor expansion of 27.0 in y 0.786 * [backup-simplify]: Simplify 27.0 into 27.0 0.786 * [taylor]: Taking taylor expansion of (* x y) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [backup-simplify]: Simplify x into x 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 0.786 * [backup-simplify]: Simplify (* x 0) into 0 0.786 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.786 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.786 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.786 * [taylor]: Taking taylor expansion of 27.0 in x 0.786 * [backup-simplify]: Simplify 27.0 into 27.0 0.787 * [taylor]: Taking taylor expansion of (* x y) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of y in x 0.787 * [backup-simplify]: Simplify y into y 0.787 * [backup-simplify]: Simplify (* 0 y) into 0 0.787 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.787 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.787 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.787 * [taylor]: Taking taylor expansion of 27.0 in x 0.787 * [backup-simplify]: Simplify 27.0 into 27.0 0.787 * [taylor]: Taking taylor expansion of (* x y) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of y in x 0.787 * [backup-simplify]: Simplify y into y 0.787 * [backup-simplify]: Simplify (* 0 y) into 0 0.787 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.787 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.787 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.787 * [taylor]: Taking taylor expansion of 27.0 in y 0.787 * [backup-simplify]: Simplify 27.0 into 27.0 0.787 * [taylor]: Taking taylor expansion of y in y 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.788 * [backup-simplify]: Simplify 27.0 into 27.0 0.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.788 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.788 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.790 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.792 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 27.0 (* x y)) 0.792 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* 27.0 (/ 1 (- y)))) into (/ 27.0 (* x y)) 0.793 * [approximate]: Taking taylor expansion of (/ 27.0 (* x y)) in (x y) around 0 0.793 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in y 0.793 * [taylor]: Taking taylor expansion of 27.0 in y 0.793 * [backup-simplify]: Simplify 27.0 into 27.0 0.793 * [taylor]: Taking taylor expansion of (* x y) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [backup-simplify]: Simplify x into x 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (* x 0) into 0 0.793 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.793 * [backup-simplify]: Simplify (/ 27.0 x) into (/ 27.0 x) 0.793 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.793 * [taylor]: Taking taylor expansion of 27.0 in x 0.793 * [backup-simplify]: Simplify 27.0 into 27.0 0.793 * [taylor]: Taking taylor expansion of (* x y) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [taylor]: Taking taylor expansion of y in x 0.793 * [backup-simplify]: Simplify y into y 0.793 * [backup-simplify]: Simplify (* 0 y) into 0 0.793 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.793 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.793 * [taylor]: Taking taylor expansion of (/ 27.0 (* x y)) in x 0.793 * [taylor]: Taking taylor expansion of 27.0 in x 0.794 * [backup-simplify]: Simplify 27.0 into 27.0 0.794 * [taylor]: Taking taylor expansion of (* x y) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [backup-simplify]: Simplify y into y 0.794 * [backup-simplify]: Simplify (* 0 y) into 0 0.794 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.794 * [backup-simplify]: Simplify (/ 27.0 y) into (/ 27.0 y) 0.794 * [taylor]: Taking taylor expansion of (/ 27.0 y) in y 0.794 * [taylor]: Taking taylor expansion of 27.0 in y 0.794 * [backup-simplify]: Simplify 27.0 into 27.0 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ 27.0 1) into 27.0 0.794 * [backup-simplify]: Simplify 27.0 into 27.0 0.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.795 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)))) into 0 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.796 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.798 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 27.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 27.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (* 27.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 27.0 (* x y)) 0.799 * * * [progress]: simplifying candidates 0.799 * [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)) 0.799 * [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)) 0.802 * * [simplify]: iteration 0 : 91 enodes (cost 71 ) 0.805 * * [simplify]: iteration 1 : 358 enodes (cost 56 ) 0.813 * * [simplify]: iteration 2 : 1451 enodes (cost 56 ) 0.840 * * [simplify]: iteration 3 : 3752 enodes (cost 56 ) 0.881 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.882 * * * [progress]: adding candidates to table 0.910 * [progress]: [Phase 3 of 3] Extracting. 0.910 * * [regime]: Finding splitpoints for: (# # # # # #) 0.910 * * * [regime-changes]: Trying 4 branch expressions: ((* x 27.0) (* (* x 27.0) y) y x) 0.910 * * * * [regimes]: Trying to branch on (* x 27.0) from (# # # # # #) 0.930 * * * * [regimes]: Trying to branch on (* (* x 27.0) y) from (# # # # # #) 0.952 * * * * [regimes]: Trying to branch on y from (# # # # # #) 0.971 * * * * [regimes]: Trying to branch on x from (# # # # # #) 0.994 * * * [regime]: Found split indices: #