11.707 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ (* (* x 2.0) y) (- x y)) 0.015 * [simplify]: Sending expressions to egg_math: (/ (* (* h0 h1) h2) (- h0 h2)) 0.018 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.020 * * [simplify]: iteration 1 : 36 enodes (cost 4 ) 0.022 * * [simplify]: iteration 2 : 73 enodes (cost 4 ) 0.024 * * [simplify]: iteration 3 : 127 enodes (cost 4 ) 0.026 * * [simplify]: iteration 4 : 167 enodes (cost 4 ) 0.029 * * [simplify]: iteration 5 : 185 enodes (cost 4 ) 0.031 * * [simplify]: iteration 6 : 187 enodes (cost 4 ) 0.034 * * [simplify]: iteration 7 : 187 enodes (cost 4 ) 0.034 * [simplify]: Simplified to: (/ (* (* x 2.0) y) (- x y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.070 * [taylor]: Taking taylor expansion of 2.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.070 * [taylor]: Taking taylor expansion of (* x y) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (- x y) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.070 * [taylor]: Taking taylor expansion of 2.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.070 * [taylor]: Taking taylor expansion of (* x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (- x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (- x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of -2.0 in y 0.073 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of 2.0 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.085 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.085 * [taylor]: Taking taylor expansion of 2.0 in y 0.085 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (* x y) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.087 * [taylor]: Taking taylor expansion of 2.0 in x 0.087 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (* x y) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 in x 0.089 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (* x y) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.093 * [taylor]: Taking taylor expansion of 2.0 in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.098 * [taylor]: Taking taylor expansion of 2.0 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.098 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.105 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.105 * [taylor]: Taking taylor expansion of 2.0 in y 0.105 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.109 * [taylor]: Taking taylor expansion of 2.0 in x 0.109 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.111 * [taylor]: Taking taylor expansion of -2.0 in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.119 * [taylor]: Taking taylor expansion of 2.0 in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.127 * * * [progress]: simplifying candidates 0.128 * [simplify]: Simplifying using # : (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- x y))) (- (+ (+ (log x) (log 2.0)) (log y)) (log (- x y))) (- (+ (log (* x 2.0)) (log y)) (log (- x y))) (- (log (* (* x 2.0) y)) (log (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) y) (- x y))) (/ (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y)) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y)) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (* (* (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- x y))) (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) 1) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) 1) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.128 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* (* h0 h1) h2) (- h0 h2))) (log1p (/ (* (* h0 h1) h2) (- h0 h2))) (- (+ (+ (log h0) (log h1)) (log h2)) (log (- h0 h2))) (- (+ (log (* h0 h1)) (log h2)) (log (- h0 h2))) (- (log (* (* h0 h1) h2)) (log (- h0 h2))) (log (/ (* (* h0 h1) h2) (- h0 h2))) (exp (/ (* (* h0 h1) h2) (- h0 h2))) (/ (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (* (* (- h0 h2) (- h0 h2)) (- h0 h2))) (/ (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (* (- h0 h2) (- h0 h2)) (- h0 h2))) (/ (* (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h1) h2)) (* (* (- h0 h2) (- h0 h2)) (- h0 h2))) (* (cbrt (/ (* (* h0 h1) h2) (- h0 h2))) (cbrt (/ (* (* h0 h1) h2) (- h0 h2)))) (cbrt (/ (* (* h0 h1) h2) (- h0 h2))) (* (* (/ (* (* h0 h1) h2) (- h0 h2)) (/ (* (* h0 h1) h2) (- h0 h2))) (/ (* (* h0 h1) h2) (- h0 h2))) (sqrt (/ (* (* h0 h1) h2) (- h0 h2))) (sqrt (/ (* (* h0 h1) h2) (- h0 h2))) (- (* (* h0 h1) h2)) (- (- h0 h2)) (/ (* h0 h1) (* (cbrt (- h0 h2)) (cbrt (- h0 h2)))) (/ h2 (cbrt (- h0 h2))) (/ (* h0 h1) (sqrt (- h0 h2))) (/ h2 (sqrt (- h0 h2))) (/ (* h0 h1) 1) (/ h2 (- h0 h2)) (/ (* h0 h1) (+ (sqrt h0) (sqrt h2))) (/ h2 (- (sqrt h0) (sqrt h2))) (/ (* h0 h1) 1) (/ h2 (- h0 h2)) (/ 1 (- h0 h2)) (/ (- h0 h2) (* (* h0 h1) h2)) (/ (* (* h0 h1) h2) (* (cbrt (- h0 h2)) (cbrt (- h0 h2)))) (/ (* (* h0 h1) h2) (sqrt (- h0 h2))) (/ (* (* h0 h1) h2) 1) (/ (* (* h0 h1) h2) (+ (sqrt h0) (sqrt h2))) (/ (* (* h0 h1) h2) 1) (/ (- h0 h2) h2) (/ (* (* h0 h1) h2) (- (pow h0 3) (pow h2 3))) (/ (* (* h0 h1) h2) (- (* h0 h0) (* h2 h2))) 0 0 0 0.134 * * [simplify]: iteration 0 : 214 enodes (cost 194 ) 0.143 * * [simplify]: iteration 1 : 1150 enodes (cost 161 ) 0.174 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.175 * [simplify]: Simplified to: (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (* x 2.0) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (* x 2.0) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (* (* x 2.0) y) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (* (* x 2.0) y) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.175 * * * [progress]: adding candidates to table 0.225 * * [progress]: iteration 2 / 4 0.225 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.235 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.271 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.286 * * * [progress]: generating series expansions 0.286 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.286 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.286 * [taylor]: Taking taylor expansion of 2.0 in y 0.286 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.286 * [taylor]: Taking taylor expansion of (* x y) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (- x y) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.287 * [taylor]: Taking taylor expansion of 2.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (- x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.287 * [taylor]: Taking taylor expansion of 2.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (- x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of -2.0 in y 0.289 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.289 * [taylor]: Taking taylor expansion of 2.0 in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.293 * [taylor]: Taking taylor expansion of 2.0 in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.297 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.297 * [taylor]: Taking taylor expansion of 2.0 in y 0.298 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (* x y) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.299 * [taylor]: Taking taylor expansion of 2.0 in x 0.299 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.299 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (* x y) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.301 * [taylor]: Taking taylor expansion of 2.0 in x 0.301 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (* x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.303 * [taylor]: Taking taylor expansion of 2.0 in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.305 * [taylor]: Taking taylor expansion of 2.0 in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.311 * [taylor]: Taking taylor expansion of 2.0 in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.317 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.318 * [taylor]: Taking taylor expansion of 2.0 in y 0.318 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.319 * [taylor]: Taking taylor expansion of 2.0 in x 0.319 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.321 * [taylor]: Taking taylor expansion of 2.0 in x 0.321 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.326 * [taylor]: Taking taylor expansion of -2.0 in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of 2.0 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.333 * [taylor]: Taking taylor expansion of 2.0 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.341 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.341 * [approximate]: Taking taylor expansion of (/ y (- x y)) in (y x) around 0 0.341 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (- x y) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (- x y) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (- x y) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.351 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.351 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in x 0.351 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.352 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.354 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.364 * [approximate]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 0.364 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.365 * [taylor]: Taking taylor expansion of -1 in y 0.365 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.366 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.367 * [taylor]: Taking taylor expansion of -1 in y 0.367 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.377 * * * [progress]: simplifying candidates 0.378 * [simplify]: Simplifying using # : (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (+ (+ (log x) (log 2.0)) (- (log y) (log (- x y)))) (+ (+ (log x) (log 2.0)) (log (/ y (- x y)))) (+ (log (* x 2.0)) (- (log y) (log (- x y)))) (+ (log (* x 2.0)) (log (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ 1 (sqrt (- x y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) (/ 1 (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) 1) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (- (log y) (log (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y))) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y))) (/ (cbrt y) (- (sqrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) (/ 1 1) (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ 1 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) (/ y 1) (/ y (+ (sqrt x) (sqrt y))) (/ y 1) (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 0.379 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h0 h1) (/ h2 (- h0 h2)))) (log1p (* (* h0 h1) (/ h2 (- h0 h2)))) (* (* h0 h1) (/ h2 (- h0 h2))) (* (* h0 h1) (/ h2 (- h0 h2))) (+ (+ (log h0) (log h1)) (- (log h2) (log (- h0 h2)))) (+ (+ (log h0) (log h1)) (log (/ h2 (- h0 h2)))) (+ (log (* h0 h1)) (- (log h2) (log (- h0 h2)))) (+ (log (* h0 h1)) (log (/ h2 (- h0 h2)))) (log (* (* h0 h1) (/ h2 (- h0 h2)))) (exp (* (* h0 h1) (/ h2 (- h0 h2)))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (/ (* (* h2 h2) h2) (* (* (- h0 h2) (- h0 h2)) (- h0 h2)))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (/ h2 (- h0 h2)) (/ h2 (- h0 h2))) (/ h2 (- h0 h2)))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (/ (* (* h2 h2) h2) (* (* (- h0 h2) (- h0 h2)) (- h0 h2)))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (/ h2 (- h0 h2)) (/ h2 (- h0 h2))) (/ h2 (- h0 h2)))) (* (cbrt (* (* h0 h1) (/ h2 (- h0 h2)))) (cbrt (* (* h0 h1) (/ h2 (- h0 h2))))) (cbrt (* (* h0 h1) (/ h2 (- h0 h2)))) (* (* (* (* h0 h1) (/ h2 (- h0 h2))) (* (* h0 h1) (/ h2 (- h0 h2)))) (* (* h0 h1) (/ h2 (- h0 h2)))) (sqrt (* (* h0 h1) (/ h2 (- h0 h2)))) (sqrt (* (* h0 h1) (/ h2 (- h0 h2)))) (* (* h0 h1) (* (cbrt (/ h2 (- h0 h2))) (cbrt (/ h2 (- h0 h2))))) (* (* h0 h1) (sqrt (/ h2 (- h0 h2)))) (* (* h0 h1) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (- h0 h2)) (cbrt (- h0 h2))))) (* (* h0 h1) (/ (* (cbrt h2) (cbrt h2)) (sqrt (- h0 h2)))) (* (* h0 h1) (/ (* (cbrt h2) (cbrt h2)) 1)) (* (* h0 h1) (/ (* (cbrt h2) (cbrt h2)) (+ (sqrt h0) (sqrt h2)))) (* (* h0 h1) (/ (* (cbrt h2) (cbrt h2)) 1)) (* (* h0 h1) (/ (sqrt h2) (* (cbrt (- h0 h2)) (cbrt (- h0 h2))))) (* (* h0 h1) (/ (sqrt h2) (sqrt (- h0 h2)))) (* (* h0 h1) (/ (sqrt h2) 1)) (* (* h0 h1) (/ (sqrt h2) (+ (sqrt h0) (sqrt h2)))) (* (* h0 h1) (/ (sqrt h2) 1)) (* (* h0 h1) (/ 1 (* (cbrt (- h0 h2)) (cbrt (- h0 h2))))) (* (* h0 h1) (/ 1 (sqrt (- h0 h2)))) (* (* h0 h1) (/ 1 1)) (* (* h0 h1) (/ 1 (+ (sqrt h0) (sqrt h2)))) (* (* h0 h1) (/ 1 1)) (* (* h0 h1) 1) (* (* h0 h1) h2) (* (* h0 h1) (/ h2 (- (pow h0 3) (pow h2 3)))) (* (* h0 h1) (/ h2 (- (* h0 h0) (* h2 h2)))) (* h1 (/ h2 (- h0 h2))) (* (* h0 h1) h2) (expm1 (/ h2 (- h0 h2))) (log1p (/ h2 (- h0 h2))) (- (log h2) (log (- h0 h2))) (log (/ h2 (- h0 h2))) (exp (/ h2 (- h0 h2))) (/ (* (* h2 h2) h2) (* (* (- h0 h2) (- h0 h2)) (- h0 h2))) (* (cbrt (/ h2 (- h0 h2))) (cbrt (/ h2 (- h0 h2)))) (cbrt (/ h2 (- h0 h2))) (* (* (/ h2 (- h0 h2)) (/ h2 (- h0 h2))) (/ h2 (- h0 h2))) (sqrt (/ h2 (- h0 h2))) (sqrt (/ h2 (- h0 h2))) (- h2) (- (- h0 h2)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (- h0 h2)) (cbrt (- h0 h2)))) (/ (cbrt h2) (cbrt (- h0 h2))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (- h0 h2))) (/ (cbrt h2) (sqrt (- h0 h2))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (- h0 h2)) (/ (* (cbrt h2) (cbrt h2)) (+ (sqrt h0) (sqrt h2))) (/ (cbrt h2) (- (sqrt h0) (sqrt h2))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (- h0 h2)) (/ (sqrt h2) (* (cbrt (- h0 h2)) (cbrt (- h0 h2)))) (/ (sqrt h2) (cbrt (- h0 h2))) (/ (sqrt h2) (sqrt (- h0 h2))) (/ (sqrt h2) (sqrt (- h0 h2))) (/ (sqrt h2) 1) (/ (sqrt h2) (- h0 h2)) (/ (sqrt h2) (+ (sqrt h0) (sqrt h2))) (/ (sqrt h2) (- (sqrt h0) (sqrt h2))) (/ (sqrt h2) 1) (/ (sqrt h2) (- h0 h2)) (/ 1 (* (cbrt (- h0 h2)) (cbrt (- h0 h2)))) (/ h2 (cbrt (- h0 h2))) (/ 1 (sqrt (- h0 h2))) (/ h2 (sqrt (- h0 h2))) (/ 1 1) (/ h2 (- h0 h2)) (/ 1 (+ (sqrt h0) (sqrt h2))) (/ h2 (- (sqrt h0) (sqrt h2))) (/ 1 1) (/ h2 (- h0 h2)) (/ 1 (- h0 h2)) (/ (- h0 h2) h2) (/ h2 (* (cbrt (- h0 h2)) (cbrt (- h0 h2)))) (/ h2 (sqrt (- h0 h2))) (/ h2 1) (/ h2 (+ (sqrt h0) (sqrt h2))) (/ h2 1) (/ (- h0 h2) (cbrt h2)) (/ (- h0 h2) (sqrt h2)) (/ (- h0 h2) h2) (/ h2 (- (pow h0 3) (pow h2 3))) (/ h2 (- (* h0 h0) (* h2 h2))) 0 0 0 0 0 0 0.383 * * [simplify]: iteration 0 : 315 enodes (cost 451 ) 0.390 * * [simplify]: iteration 1 : 1665 enodes (cost 401 ) 0.418 * * [simplify]: iteration 2 : 5001 enodes (cost 401 ) 0.421 * [simplify]: Simplified to: (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* x (* 2.0 (* (cbrt y) (cbrt y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* x (* 2.0 (* (cbrt y) (cbrt y)))) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* x (* 2.0 (sqrt y))) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* x (* 2.0 (sqrt y))) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (sqrt (- x y))) (* x 2.0) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (* x 2.0) (* x 2.0) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (log (/ y (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (pow (/ y (- x y)) 3) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (pow (/ y (- x y)) 3) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y))) (/ (cbrt y) (- (sqrt x) (sqrt y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (sqrt y) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (sqrt y) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) 1 (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) 1 (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) y (/ y (+ (sqrt x) (sqrt y))) y (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 0.421 * * * [progress]: adding candidates to table 0.545 * * [progress]: iteration 3 / 4 0.545 * * * [progress]: picking best candidate 0.547 * * * * [pick]: Picked # 0.547 * * * [progress]: localizing error 0.553 * * * [progress]: generating rewritten candidates 0.553 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.573 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.596 * * * [progress]: generating series expansions 0.596 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.596 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.596 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.596 * [taylor]: Taking taylor expansion of 2.0 in y 0.596 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.596 * [taylor]: Taking taylor expansion of (* x y) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of (- x y) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.597 * [taylor]: Taking taylor expansion of 2.0 in x 0.597 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.597 * [taylor]: Taking taylor expansion of (* x y) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (- x y) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.597 * [taylor]: Taking taylor expansion of 2.0 in x 0.597 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.597 * [taylor]: Taking taylor expansion of (* x y) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (- x y) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of -2.0 in y 0.599 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.599 * [taylor]: Taking taylor expansion of 2.0 in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.603 * [taylor]: Taking taylor expansion of 2.0 in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.607 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.607 * [taylor]: Taking taylor expansion of 2.0 in y 0.607 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.607 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (* x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.609 * [taylor]: Taking taylor expansion of 2.0 in x 0.609 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.609 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (* x y) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.611 * [taylor]: Taking taylor expansion of 2.0 in x 0.611 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.611 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (* x y) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.613 * [taylor]: Taking taylor expansion of 2.0 in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.615 * [taylor]: Taking taylor expansion of 2.0 in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.621 * [taylor]: Taking taylor expansion of 2.0 in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.621 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.627 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.627 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.627 * [taylor]: Taking taylor expansion of 2.0 in y 0.627 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.629 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.629 * [taylor]: Taking taylor expansion of 2.0 in x 0.629 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.629 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.631 * [taylor]: Taking taylor expansion of 2.0 in x 0.631 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.633 * [taylor]: Taking taylor expansion of -2.0 in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.635 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.635 * [taylor]: Taking taylor expansion of 2.0 in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.641 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.641 * [taylor]: Taking taylor expansion of 2.0 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.641 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.648 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.648 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 0.648 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 0.648 * [taylor]: Taking taylor expansion of (- x y) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.648 * [taylor]: Taking taylor expansion of (- x y) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.648 * [taylor]: Taking taylor expansion of (- x y) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of -1 in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.652 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.652 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (- 1) in y 0.654 * [taylor]: Taking taylor expansion of 1 in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [approximate]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.659 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.659 * [taylor]: Taking taylor expansion of -1 in y 0.659 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (- 1) in y 0.662 * [taylor]: Taking taylor expansion of 1 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.671 * * * [progress]: simplifying candidates 0.672 * [simplify]: Simplifying using # : (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* x 2.0) (/ (- x y) y))) (- (+ (log x) (log 2.0)) (- (log (- x y)) (log y))) (- (+ (log x) (log 2.0)) (log (/ (- x y) y))) (- (log (* x 2.0)) (- (log (- x y)) (log y))) (- (log (* x 2.0)) (log (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (* (* (/ (* x 2.0) (/ (- x y) y)) (/ (* x 2.0) (/ (- x y) y))) (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (/ (sqrt (- x y)) 1)) (/ 2.0 (/ (sqrt (- x y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (sqrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) 1)) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x 1) (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (/ 2.0 (/ 1 y)) (/ 1 (/ (- x y) y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ (* x 2.0) (/ (sqrt (- x y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) 1) (/ (* x 2.0) (- x y)) (/ (/ (- x y) y) 2.0) (/ (* x 2.0) (- x y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (- (log (- x y)) (log y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y)) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y)) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) (/ y y) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (- x y)) (cbrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y)) (/ (cbrt (- x y)) (sqrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (- x y)) (cbrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (sqrt y)) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x y) y) (/ 1 y) (/ y (- x y)) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (- x y) (sqrt y)) (/ (- x y) 1) (/ y (cbrt (- x y))) (/ y (sqrt (- x y))) (/ y (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* y (+ (* x x) (+ (* y y) (* x y)))) (* y (+ x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 0.673 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* h0 h1) (/ (- h0 h2) h2))) (log1p (/ (* h0 h1) (/ (- h0 h2) h2))) (- (+ (log h0) (log h1)) (- (log (- h0 h2)) (log h2))) (- (+ (log h0) (log h1)) (log (/ (- h0 h2) h2))) (- (log (* h0 h1)) (- (log (- h0 h2)) (log h2))) (- (log (* h0 h1)) (log (/ (- h0 h2) h2))) (log (/ (* h0 h1) (/ (- h0 h2) h2))) (exp (/ (* h0 h1) (/ (- h0 h2) h2))) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (/ (* (* (- h0 h2) (- h0 h2)) (- h0 h2)) (* (* h2 h2) h2))) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (/ (- h0 h2) h2) (/ (- h0 h2) h2)) (/ (- h0 h2) h2))) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (/ (* (* (- h0 h2) (- h0 h2)) (- h0 h2)) (* (* h2 h2) h2))) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (/ (- h0 h2) h2) (/ (- h0 h2) h2)) (/ (- h0 h2) h2))) (* (cbrt (/ (* h0 h1) (/ (- h0 h2) h2))) (cbrt (/ (* h0 h1) (/ (- h0 h2) h2)))) (cbrt (/ (* h0 h1) (/ (- h0 h2) h2))) (* (* (/ (* h0 h1) (/ (- h0 h2) h2)) (/ (* h0 h1) (/ (- h0 h2) h2))) (/ (* h0 h1) (/ (- h0 h2) h2))) (sqrt (/ (* h0 h1) (/ (- h0 h2) h2))) (sqrt (/ (* h0 h1) (/ (- h0 h2) h2))) (- (* h0 h1)) (- (/ (- h0 h2) h2)) (/ h0 (* (cbrt (/ (- h0 h2) h2)) (cbrt (/ (- h0 h2) h2)))) (/ h1 (cbrt (/ (- h0 h2) h2))) (/ h0 (sqrt (/ (- h0 h2) h2))) (/ h1 (sqrt (/ (- h0 h2) h2))) (/ h0 (/ (* (cbrt (- h0 h2)) (cbrt (- h0 h2))) (* (cbrt h2) (cbrt h2)))) (/ h1 (/ (cbrt (- h0 h2)) (cbrt h2))) (/ h0 (/ (* (cbrt (- h0 h2)) (cbrt (- h0 h2))) (sqrt h2))) (/ h1 (/ (cbrt (- h0 h2)) (sqrt h2))) (/ h0 (/ (* (cbrt (- h0 h2)) (cbrt (- h0 h2))) 1)) (/ h1 (/ (cbrt (- h0 h2)) h2)) (/ h0 (/ (sqrt (- h0 h2)) (* (cbrt h2) (cbrt h2)))) (/ h1 (/ (sqrt (- h0 h2)) (cbrt h2))) (/ h0 (/ (sqrt (- h0 h2)) (sqrt h2))) (/ h1 (/ (sqrt (- h0 h2)) (sqrt h2))) (/ h0 (/ (sqrt (- h0 h2)) 1)) (/ h1 (/ (sqrt (- h0 h2)) h2)) (/ h0 (/ 1 (* (cbrt h2) (cbrt h2)))) (/ h1 (/ (- h0 h2) (cbrt h2))) (/ h0 (/ 1 (sqrt h2))) (/ h1 (/ (- h0 h2) (sqrt h2))) (/ h0 (/ 1 1)) (/ h1 (/ (- h0 h2) h2)) (/ h0 (/ (+ (sqrt h0) (sqrt h2)) (* (cbrt h2) (cbrt h2)))) (/ h1 (/ (- (sqrt h0) (sqrt h2)) (cbrt h2))) (/ h0 (/ (+ (sqrt h0) (sqrt h2)) (sqrt h2))) (/ h1 (/ (- (sqrt h0) (sqrt h2)) (sqrt h2))) (/ h0 (/ (+ (sqrt h0) (sqrt h2)) 1)) (/ h1 (/ (- (sqrt h0) (sqrt h2)) h2)) (/ h0 (/ 1 (* (cbrt h2) (cbrt h2)))) (/ h1 (/ (- h0 h2) (cbrt h2))) (/ h0 (/ 1 (sqrt h2))) (/ h1 (/ (- h0 h2) (sqrt h2))) (/ h0 (/ 1 1)) (/ h1 (/ (- h0 h2) h2)) (/ h0 1) (/ h1 (/ (- h0 h2) h2)) (/ h0 (- h0 h2)) (/ h1 (/ 1 h2)) (/ 1 (/ (- h0 h2) h2)) (/ (/ (- h0 h2) h2) (* h0 h1)) (/ (* h0 h1) (* (cbrt (/ (- h0 h2) h2)) (cbrt (/ (- h0 h2) h2)))) (/ (* h0 h1) (sqrt (/ (- h0 h2) h2))) (/ (* h0 h1) (/ (* (cbrt (- h0 h2)) (cbrt (- h0 h2))) (* (cbrt h2) (cbrt h2)))) (/ (* h0 h1) (/ (* (cbrt (- h0 h2)) (cbrt (- h0 h2))) (sqrt h2))) (/ (* h0 h1) (/ (* (cbrt (- h0 h2)) (cbrt (- h0 h2))) 1)) (/ (* h0 h1) (/ (sqrt (- h0 h2)) (* (cbrt h2) (cbrt h2)))) (/ (* h0 h1) (/ (sqrt (- h0 h2)) (sqrt h2))) (/ (* h0 h1) (/ (sqrt (- h0 h2)) 1)) (/ (* h0 h1) (/ 1 (* (cbrt h2) (cbrt h2)))) (/ (* h0 h1) (/ 1 (sqrt h2))) (/ (* h0 h1) (/ 1 1)) (/ (* h0 h1) (/ (+ (sqrt h0) (sqrt h2)) (* (cbrt h2) (cbrt h2)))) (/ (* h0 h1) (/ (+ (sqrt h0) (sqrt h2)) (sqrt h2))) (/ (* h0 h1) (/ (+ (sqrt h0) (sqrt h2)) 1)) (/ (* h0 h1) (/ 1 (* (cbrt h2) (cbrt h2)))) (/ (* h0 h1) (/ 1 (sqrt h2))) (/ (* h0 h1) (/ 1 1)) (/ (* h0 h1) 1) (/ (* h0 h1) (- h0 h2)) (/ (/ (- h0 h2) h2) h1) (/ (* h0 h1) (- h0 h2)) (expm1 (/ (- h0 h2) h2)) (log1p (/ (- h0 h2) h2)) (- (log (- h0 h2)) (log h2)) (log (/ (- h0 h2) h2)) (exp (/ (- h0 h2) h2)) (/ (* (* (- h0 h2) (- h0 h2)) (- h0 h2)) (* (* h2 h2) h2)) (* (cbrt (/ (- h0 h2) h2)) (cbrt (/ (- h0 h2) h2))) (cbrt (/ (- h0 h2) h2)) (* (* (/ (- h0 h2) h2) (/ (- h0 h2) h2)) (/ (- h0 h2) h2)) (sqrt (/ (- h0 h2) h2)) (sqrt (/ (- h0 h2) h2)) (- (- h0 h2)) (- h2) (/ h0 h2) (/ h2 h2) (/ (* (cbrt (- h0 h2)) (cbrt (- h0 h2))) (* (cbrt h2) (cbrt h2))) (/ (cbrt (- h0 h2)) (cbrt h2)) (/ (* (cbrt (- h0 h2)) (cbrt (- h0 h2))) (sqrt h2)) (/ (cbrt (- h0 h2)) (sqrt h2)) (/ (* (cbrt (- h0 h2)) (cbrt (- h0 h2))) 1) (/ (cbrt (- h0 h2)) h2) (/ (sqrt (- h0 h2)) (* (cbrt h2) (cbrt h2))) (/ (sqrt (- h0 h2)) (cbrt h2)) (/ (sqrt (- h0 h2)) (sqrt h2)) (/ (sqrt (- h0 h2)) (sqrt h2)) (/ (sqrt (- h0 h2)) 1) (/ (sqrt (- h0 h2)) h2) (/ 1 (* (cbrt h2) (cbrt h2))) (/ (- h0 h2) (cbrt h2)) (/ 1 (sqrt h2)) (/ (- h0 h2) (sqrt h2)) (/ 1 1) (/ (- h0 h2) h2) (/ (+ (sqrt h0) (sqrt h2)) (* (cbrt h2) (cbrt h2))) (/ (- (sqrt h0) (sqrt h2)) (cbrt h2)) (/ (+ (sqrt h0) (sqrt h2)) (sqrt h2)) (/ (- (sqrt h0) (sqrt h2)) (sqrt h2)) (/ (+ (sqrt h0) (sqrt h2)) 1) (/ (- (sqrt h0) (sqrt h2)) h2) (/ 1 (* (cbrt h2) (cbrt h2))) (/ (- h0 h2) (cbrt h2)) (/ 1 (sqrt h2)) (/ (- h0 h2) (sqrt h2)) (/ 1 1) (/ (- h0 h2) h2) (/ 1 h2) (/ h2 (- h0 h2)) (/ (- h0 h2) (* (cbrt h2) (cbrt h2))) (/ (- h0 h2) (sqrt h2)) (/ (- h0 h2) 1) (/ h2 (cbrt (- h0 h2))) (/ h2 (sqrt (- h0 h2))) (/ h2 (- h0 h2)) (/ h2 (- (sqrt h0) (sqrt h2))) (/ h2 (- h0 h2)) (* h2 (+ (* h0 h0) (+ (* h2 h2) (* h0 h2)))) (* h2 (+ h0 h2)) 0 0 0 (- (/ h0 h2) 1) (- (/ h0 h2) 1) (- (/ h0 h2) 1) 0.678 * * [simplify]: iteration 0 : 392 enodes (cost 620 ) 0.685 * * [simplify]: iteration 1 : 1920 enodes (cost 563 ) 0.716 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.719 * [simplify]: Simplified to: (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (sqrt (- x y))) (/ 2.0 (/ (sqrt (- x y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (sqrt y))) (/ x (+ (sqrt x) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) x (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (* y 2.0) (/ y (- x y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) 2.0)) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ x (/ (sqrt (- x y)) 2.0)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) 2.0)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (* x 2.0) (/ (* x 2.0) (- x y)) (/ (/ (- x y) y) 2.0) (/ (* x 2.0) (- x y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (log (/ (- x y) y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (pow (- (/ x y) 1) 3) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (pow (- (/ x y) 1) 3) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) 1 (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (- x y)) (cbrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y)) (/ (cbrt (- x y)) (sqrt y)) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (- x y)) (cbrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) (sqrt y)) (sqrt (- x y)) (/ (sqrt (- x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (- (/ x y) 1) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (- (/ (sqrt x) (sqrt y)) 1) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (- (/ x y) 1) (/ 1 y) (/ y (- x y)) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (- x y) (sqrt y)) (- x y) (/ y (cbrt (- x y))) (/ y (sqrt (- x y))) (/ y (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* (fma x x (fma y y (* x y))) y) (fma y y (* x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 0.720 * * * [progress]: adding candidates to table 0.877 * * [progress]: iteration 4 / 4 0.877 * * * [progress]: picking best candidate 0.878 * * * * [pick]: Picked # 0.879 * * * [progress]: localizing error 0.884 * * * [progress]: generating rewritten candidates 0.884 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.925 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.939 * * * [progress]: generating series expansions 0.939 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.939 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.939 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.939 * [taylor]: Taking taylor expansion of 2.0 in y 0.939 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.939 * [taylor]: Taking taylor expansion of (* x y) in y 0.940 * [taylor]: Taking taylor expansion of x in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.940 * [taylor]: Taking taylor expansion of (- x y) in y 0.940 * [taylor]: Taking taylor expansion of x in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.940 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.940 * [taylor]: Taking taylor expansion of 2.0 in x 0.940 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.940 * [taylor]: Taking taylor expansion of (* x y) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of y in x 0.940 * [taylor]: Taking taylor expansion of (- x y) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.941 * [taylor]: Taking taylor expansion of 2.0 in x 0.941 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.941 * [taylor]: Taking taylor expansion of (* x y) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (- x y) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of -2.0 in y 0.943 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.943 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.943 * [taylor]: Taking taylor expansion of 2.0 in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.946 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.946 * [taylor]: Taking taylor expansion of 2.0 in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.951 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.951 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.951 * [taylor]: Taking taylor expansion of 2.0 in y 0.951 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.951 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (* x y) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.953 * [taylor]: Taking taylor expansion of 2.0 in x 0.953 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.953 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.953 * [taylor]: Taking taylor expansion of (* x y) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.954 * [taylor]: Taking taylor expansion of 2.0 in x 0.954 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.954 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (* x y) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.956 * [taylor]: Taking taylor expansion of 2.0 in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.958 * [taylor]: Taking taylor expansion of 2.0 in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.964 * [taylor]: Taking taylor expansion of 2.0 in y 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.964 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.971 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.971 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.971 * [taylor]: Taking taylor expansion of 2.0 in y 0.971 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.972 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.972 * [taylor]: Taking taylor expansion of 2.0 in x 0.972 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.973 * [taylor]: Taking taylor expansion of y in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.974 * [taylor]: Taking taylor expansion of 2.0 in x 0.974 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.974 * [taylor]: Taking taylor expansion of y in x 0.974 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.974 * [taylor]: Taking taylor expansion of y in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.976 * [taylor]: Taking taylor expansion of -2.0 in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.979 * [taylor]: Taking taylor expansion of 2.0 in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.984 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.984 * [taylor]: Taking taylor expansion of 2.0 in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.994 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.994 * [approximate]: Taking taylor expansion of (/ x (- x y)) in (x y) around 0 0.994 * [taylor]: Taking taylor expansion of (/ x (- x y)) in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [taylor]: Taking taylor expansion of (- x y) in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (- x y) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (- x y) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.994 * [taylor]: Taking taylor expansion of -1 in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.999 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.005 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 1.005 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in y 1.005 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 1.005 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.005 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.005 * [taylor]: Taking taylor expansion of x in y 1.005 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.005 * [taylor]: Taking taylor expansion of y in y 1.005 * [taylor]: Taking taylor expansion of x in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 1.006 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 1.006 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.006 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 1.007 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 1.007 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of 1 in y 1.010 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.013 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.016 * [approximate]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.016 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in y 1.016 * [taylor]: Taking taylor expansion of -1 in y 1.016 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 1.017 * [taylor]: Taking taylor expansion of -1 in x 1.017 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 1.019 * [taylor]: Taking taylor expansion of -1 in x 1.019 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of 1 in y 1.023 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.030 * * * [progress]: simplifying candidates 1.031 * [simplify]: Simplifying using # : (expm1 (* (/ x (- x y)) (* y 2.0))) (log1p (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (+ (- (log x) (log (- x y))) (+ (log y) (log 2.0))) (+ (- (log x) (log (- x y))) (log (* y 2.0))) (+ (log (/ x (- x y))) (+ (log y) (log 2.0))) (+ (log (/ x (- x y))) (log (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (exp (* (/ x (- x y)) (* y 2.0))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (cbrt (* (/ x (- x y)) (* y 2.0))) (cbrt (* (/ x (- x y)) (* y 2.0)))) (cbrt (* (/ x (- x y)) (* y 2.0))) (* (* (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) y) (* (cbrt (/ x (- x y))) (* y 2.0)) (* (sqrt (/ x (- x y))) (* y 2.0)) (* (/ (cbrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ x (cbrt (- x y))) (* y 2.0)) (* (/ x (sqrt (- x y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ 1 (- x y)) (* y 2.0)) (* (+ (* x x) (+ (* y y) (* x y))) (* y 2.0)) (* (+ x y) (* y 2.0)) (* x (* y 2.0)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (- (log x) (log (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) (/ 1 1) (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) (/ 1 1) (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) (/ x 1) (/ x (+ (sqrt x) (sqrt y))) (/ x 1) (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 1.031 * [simplify]: Sending expressions to egg_math: (expm1 (* (/ h0 (- h0 h1)) (* h1 h2))) (log1p (* (/ h0 (- h0 h1)) (* h1 h2))) (* (/ h0 (- h0 h1)) (* h1 h2)) (* (/ h0 (- h0 h1)) (* h1 h2)) (+ (- (log h0) (log (- h0 h1))) (+ (log h1) (log h2))) (+ (- (log h0) (log (- h0 h1))) (log (* h1 h2))) (+ (log (/ h0 (- h0 h1))) (+ (log h1) (log h2))) (+ (log (/ h0 (- h0 h1))) (log (* h1 h2))) (log (* (/ h0 (- h0 h1)) (* h1 h2))) (exp (* (/ h0 (- h0 h1)) (* h1 h2))) (* (/ (* (* h0 h0) h0) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (* (* h1 h1) h1) (* (* h2 h2) h2))) (* (/ (* (* h0 h0) h0) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (* (* h1 h2) (* h1 h2)) (* h1 h2))) (* (* (* (/ h0 (- h0 h1)) (/ h0 (- h0 h1))) (/ h0 (- h0 h1))) (* (* (* h1 h1) h1) (* (* h2 h2) h2))) (* (* (* (/ h0 (- h0 h1)) (/ h0 (- h0 h1))) (/ h0 (- h0 h1))) (* (* (* h1 h2) (* h1 h2)) (* h1 h2))) (* (cbrt (* (/ h0 (- h0 h1)) (* h1 h2))) (cbrt (* (/ h0 (- h0 h1)) (* h1 h2)))) (cbrt (* (/ h0 (- h0 h1)) (* h1 h2))) (* (* (* (/ h0 (- h0 h1)) (* h1 h2)) (* (/ h0 (- h0 h1)) (* h1 h2))) (* (/ h0 (- h0 h1)) (* h1 h2))) (sqrt (* (/ h0 (- h0 h1)) (* h1 h2))) (sqrt (* (/ h0 (- h0 h1)) (* h1 h2))) (* (/ h0 (- h0 h1)) h1) (* (cbrt (/ h0 (- h0 h1))) (* h1 h2)) (* (sqrt (/ h0 (- h0 h1))) (* h1 h2)) (* (/ (cbrt h0) (cbrt (- h0 h1))) (* h1 h2)) (* (/ (cbrt h0) (sqrt (- h0 h1))) (* h1 h2)) (* (/ (cbrt h0) (- h0 h1)) (* h1 h2)) (* (/ (cbrt h0) (- (sqrt h0) (sqrt h1))) (* h1 h2)) (* (/ (cbrt h0) (- h0 h1)) (* h1 h2)) (* (/ (sqrt h0) (cbrt (- h0 h1))) (* h1 h2)) (* (/ (sqrt h0) (sqrt (- h0 h1))) (* h1 h2)) (* (/ (sqrt h0) (- h0 h1)) (* h1 h2)) (* (/ (sqrt h0) (- (sqrt h0) (sqrt h1))) (* h1 h2)) (* (/ (sqrt h0) (- h0 h1)) (* h1 h2)) (* (/ h0 (cbrt (- h0 h1))) (* h1 h2)) (* (/ h0 (sqrt (- h0 h1))) (* h1 h2)) (* (/ h0 (- h0 h1)) (* h1 h2)) (* (/ h0 (- (sqrt h0) (sqrt h1))) (* h1 h2)) (* (/ h0 (- h0 h1)) (* h1 h2)) (* (/ h0 (- h0 h1)) (* h1 h2)) (* (/ 1 (- h0 h1)) (* h1 h2)) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (* h1 h2)) (* (+ h0 h1) (* h1 h2)) (* h0 (* h1 h2)) (expm1 (/ h0 (- h0 h1))) (log1p (/ h0 (- h0 h1))) (- (log h0) (log (- h0 h1))) (log (/ h0 (- h0 h1))) (exp (/ h0 (- h0 h1))) (/ (* (* h0 h0) h0) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (/ h0 (- h0 h1))) (cbrt (/ h0 (- h0 h1)))) (cbrt (/ h0 (- h0 h1))) (* (* (/ h0 (- h0 h1)) (/ h0 (- h0 h1))) (/ h0 (- h0 h1))) (sqrt (/ h0 (- h0 h1))) (sqrt (/ h0 (- h0 h1))) (- h0) (- (- h0 h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (cbrt h0) (cbrt (- h0 h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (- h0 h1))) (/ (cbrt h0) (sqrt (- h0 h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (- h0 h1)) (/ (* (cbrt h0) (cbrt h0)) (+ (sqrt h0) (sqrt h1))) (/ (cbrt h0) (- (sqrt h0) (sqrt h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (- h0 h1)) (/ (sqrt h0) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (sqrt h0) (cbrt (- h0 h1))) (/ (sqrt h0) (sqrt (- h0 h1))) (/ (sqrt h0) (sqrt (- h0 h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (- h0 h1)) (/ (sqrt h0) (+ (sqrt h0) (sqrt h1))) (/ (sqrt h0) (- (sqrt h0) (sqrt h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (- h0 h1)) (/ 1 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ h0 (cbrt (- h0 h1))) (/ 1 (sqrt (- h0 h1))) (/ h0 (sqrt (- h0 h1))) (/ 1 1) (/ h0 (- h0 h1)) (/ 1 (+ (sqrt h0) (sqrt h1))) (/ h0 (- (sqrt h0) (sqrt h1))) (/ 1 1) (/ h0 (- h0 h1)) (/ 1 (- h0 h1)) (/ (- h0 h1) h0) (/ h0 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ h0 (sqrt (- h0 h1))) (/ h0 1) (/ h0 (+ (sqrt h0) (sqrt h1))) (/ h0 1) (/ (- h0 h1) (cbrt h0)) (/ (- h0 h1) (sqrt h0)) (/ (- h0 h1) h0) (/ h0 (- (pow h0 3) (pow h1 3))) (/ h0 (- (* h0 h0) (* h1 h1))) 0 0 0 0 0 0 1.036 * * [simplify]: iteration 0 : 319 enodes (cost 446 ) 1.041 * * [simplify]: iteration 1 : 1255 enodes (cost 395 ) 1.063 * * [simplify]: iteration 2 : 5001 enodes (cost 395 ) 1.065 * [simplify]: Simplified to: (expm1 (* (/ x (- x y)) (* y 2.0))) (log1p (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (exp (* (/ x (- x y)) (* y 2.0))) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (* (cbrt (* (/ x (- x y)) (* y 2.0))) (cbrt (* (/ x (- x y)) (* y 2.0)))) (cbrt (* (/ x (- x y)) (* y 2.0))) (pow (* (/ x (- x y)) (* y 2.0)) 3) (sqrt (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) y) (* (cbrt (/ x (- x y))) (* y 2.0)) (* (sqrt (/ x (- x y))) (* y 2.0)) (* (/ (cbrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ x (cbrt (- x y))) (* y 2.0)) (* (/ x (sqrt (- x y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (/ (* y 2.0) (- x y)) (* (* (fma x x (fma y y (* x y))) y) 2.0) (* (+ x y) (* y 2.0)) (* x (* y 2.0)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (log (/ x (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (pow (/ x (- x y)) 3) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (pow (/ x (- x y)) 3) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (sqrt x) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (sqrt x) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) 1 (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) 1 (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) x (/ x (+ (sqrt x) (sqrt y))) x (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 1.065 * * * [progress]: adding candidates to table 1.199 * [progress]: [Phase 3 of 3] Extracting. 1.199 * * [regime]: Finding splitpoints for: (# # #) 1.199 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.199 * * * * [regimes]: Trying to branch on y from (# # #) 1.222 * * * * [regimes]: Trying to branch on x from (# # #) 1.242 * * * [regime]: Found split indices: #