24.617 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.025 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2)) 0.027 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.029 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.031 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.032 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.033 * [simplify]: Simplified to: (+ (* y (+ (* x 2.0) y)) (* x x)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.054 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.054 * [taylor]: Taking taylor expansion of 2.0 in y 0.054 * [taylor]: Taking taylor expansion of (* x y) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of 2.0 in x 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of 2.0 in x 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.055 * [taylor]: Taking taylor expansion of 2.0 in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.063 * [taylor]: Taking taylor expansion of (* x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of 2.0 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.065 * [taylor]: Taking taylor expansion of 2.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.065 * [taylor]: Taking taylor expansion of (* x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of 2.0 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.077 * [taylor]: Taking taylor expansion of 2.0 in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.077 * [taylor]: Taking taylor expansion of (* x y) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.078 * [taylor]: Taking taylor expansion of 2.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.079 * [taylor]: Taking taylor expansion of 2.0 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.079 * [taylor]: Taking taylor expansion of (* x y) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.093 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h0)) (exp (* (* h0 h1) h2))) (log (+ (* h0 h0) (* (* h0 h1) h2))) (exp (+ (* h0 h0) (* (* h0 h1) h2))) (* (cbrt (+ (* h0 h0) (* (* h0 h1) h2))) (cbrt (+ (* h0 h0) (* (* h0 h1) h2)))) (cbrt (+ (* h0 h0) (* (* h0 h1) h2))) (* (* (+ (* h0 h0) (* (* h0 h1) h2)) (+ (* h0 h0) (* (* h0 h1) h2))) (+ (* h0 h0) (* (* h0 h1) h2))) (sqrt (+ (* h0 h0) (* (* h0 h1) h2))) (sqrt (+ (* h0 h0) (* (* h0 h1) h2))) (+ (pow (* h0 h0) 3) (pow (* (* h0 h1) h2) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h0) (* (* h0 h1) h2)))) (- (* (* h0 h0) (* h0 h0)) (* (* (* h0 h1) h2) (* (* h0 h1) h2))) (- (* h0 h0) (* (* h0 h1) h2)) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) 0.096 * * [simplify]: iteration 0 : 107 enodes (cost 97 ) 0.100 * * [simplify]: iteration 1 : 562 enodes (cost 82 ) 0.115 * * [simplify]: iteration 2 : 2682 enodes (cost 76 ) 0.188 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.189 * [simplify]: Simplified to: (pow (exp x) (+ (* 2.0 y) x)) (log (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (+ (* 2.0 y) x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (* x (+ (pow x 3) (* (* 2.0 y) (* x (- (* 2.0 y) x))))) (* (* x (- x (* 2.0 y))) (* x (+ (* 2.0 y) x))) (* x (- x (* 2.0 y))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 0.189 * * * [progress]: adding candidates to table 0.216 * * [progress]: iteration 2 / 4 0.216 * * * [progress]: picking best candidate 0.220 * * * * [pick]: Picked # 0.220 * * * [progress]: localizing error 0.226 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.255 * * * [progress]: generating series expansions 0.255 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.255 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.255 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.255 * [taylor]: Taking taylor expansion of 2.0 in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.255 * [taylor]: Taking taylor expansion of 2.0 in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.255 * [taylor]: Taking taylor expansion of 2.0 in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.257 * [taylor]: Taking taylor expansion of 2.0 in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of 1 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.263 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.263 * [taylor]: Taking taylor expansion of 2.0 in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.264 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.264 * [taylor]: Taking taylor expansion of 2.0 in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.265 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.265 * [taylor]: Taking taylor expansion of 2.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.267 * [taylor]: Taking taylor expansion of 2.0 in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.276 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.276 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.276 * [taylor]: Taking taylor expansion of 2.0 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.277 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.277 * [taylor]: Taking taylor expansion of 2.0 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.278 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.278 * [taylor]: Taking taylor expansion of 2.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.280 * [taylor]: Taking taylor expansion of 2.0 in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * * * [progress]: simplifying candidates 0.290 * [simplify]: Simplifying using # : (* x (+ (* 2.0 y) x)) (+ (log x) (log (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (* (* x x) x) (* (* (+ (* 2.0 y) x) (+ (* 2.0 y) x)) (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) (* x 1) (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.290 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* h1 h2) h0)) (+ (log h0) (log (+ (* h1 h2) h0))) (log (* h0 (+ (* h1 h2) h0))) (exp (* h0 (+ (* h1 h2) h0))) (* (* (* h0 h0) h0) (* (* (+ (* h1 h2) h0) (+ (* h1 h2) h0)) (+ (* h1 h2) h0))) (* (cbrt (* h0 (+ (* h1 h2) h0))) (cbrt (* h0 (+ (* h1 h2) h0)))) (cbrt (* h0 (+ (* h1 h2) h0))) (* (* (* h0 (+ (* h1 h2) h0)) (* h0 (+ (* h1 h2) h0))) (* h0 (+ (* h1 h2) h0))) (sqrt (* h0 (+ (* h1 h2) h0))) (sqrt (* h0 (+ (* h1 h2) h0))) (* (sqrt h0) (sqrt (+ (* h1 h2) h0))) (* (sqrt h0) (sqrt (+ (* h1 h2) h0))) (* h0 (* h1 h2)) (* h0 h0) (* (* h1 h2) h0) (* h0 h0) (* h0 (* (cbrt (+ (* h1 h2) h0)) (cbrt (+ (* h1 h2) h0)))) (* h0 (sqrt (+ (* h1 h2) h0))) (* h0 1) (* (cbrt h0) (+ (* h1 h2) h0)) (* (sqrt h0) (+ (* h1 h2) h0)) (* h0 (+ (* h1 h2) h0)) (* h0 (+ (pow (* h1 h2) 3) (pow h0 3))) (* h0 (- (* (* h1 h2) (* h1 h2)) (* h0 h0))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) 0.293 * * [simplify]: iteration 0 : 146 enodes (cost 116 ) 0.297 * * [simplify]: iteration 1 : 717 enodes (cost 103 ) 0.315 * * [simplify]: iteration 2 : 3658 enodes (cost 103 ) 0.396 * * [simplify]: iteration 3 : 5002 enodes (cost 103 ) 0.397 * [simplify]: Simplified to: (* x (+ (* 2.0 y) x)) (log (* x (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt (+ (* 2.0 y) x)) (pow x 1/2)) (* (sqrt (+ (* 2.0 y) x)) (pow x 1/2)) (* x (* 2.0 y)) (pow x 2) (* x (* 2.0 y)) (pow x 2) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) x (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 0.397 * * * [progress]: adding candidates to table 0.439 * * [progress]: iteration 3 / 4 0.439 * * * [progress]: picking best candidate 0.440 * * * * [pick]: Picked # 0.441 * * * [progress]: localizing error 0.449 * * * [progress]: generating rewritten candidates 0.449 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.470 * * * [progress]: generating series expansions 0.470 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.470 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.470 * [taylor]: Taking taylor expansion of 2.0 in y 0.470 * [taylor]: Taking taylor expansion of (* x y) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.470 * [taylor]: Taking taylor expansion of 2.0 in x 0.470 * [taylor]: Taking taylor expansion of (* x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.470 * [taylor]: Taking taylor expansion of 2.0 in x 0.470 * [taylor]: Taking taylor expansion of (* x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.472 * [taylor]: Taking taylor expansion of 2.0 in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.482 * [taylor]: Taking taylor expansion of 2.0 in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.482 * [taylor]: Taking taylor expansion of (* x y) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.482 * [taylor]: Taking taylor expansion of 2.0 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.482 * [taylor]: Taking taylor expansion of (* x y) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.483 * [taylor]: Taking taylor expansion of 2.0 in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.483 * [taylor]: Taking taylor expansion of (* x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of 1 in y 0.485 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.485 * [taylor]: Taking taylor expansion of 2.0 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.495 * [taylor]: Taking taylor expansion of 2.0 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.495 * [taylor]: Taking taylor expansion of (* x y) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.496 * [taylor]: Taking taylor expansion of 2.0 in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.496 * [taylor]: Taking taylor expansion of (* x y) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.497 * [taylor]: Taking taylor expansion of 2.0 in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.497 * [taylor]: Taking taylor expansion of (* x y) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of 1 in y 0.498 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.499 * [taylor]: Taking taylor expansion of 2.0 in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * * * [progress]: simplifying candidates 0.509 * [simplify]: Simplifying using # : (* (exp (* x (* 2.0 y))) (exp (pow x 2))) (log (+ (* x (* 2.0 y)) (pow x 2))) (exp (+ (* x (* 2.0 y)) (pow x 2))) (* (cbrt (+ (* x (* 2.0 y)) (pow x 2))) (cbrt (+ (* x (* 2.0 y)) (pow x 2)))) (cbrt (+ (* x (* 2.0 y)) (pow x 2))) (* (* (+ (* x (* 2.0 y)) (pow x 2)) (+ (* x (* 2.0 y)) (pow x 2))) (+ (* x (* 2.0 y)) (pow x 2))) (sqrt (+ (* x (* 2.0 y)) (pow x 2))) (sqrt (+ (* x (* 2.0 y)) (pow x 2))) (+ (pow (* x (* 2.0 y)) 3) (pow (pow x 2) 3)) (+ (* (* x (* 2.0 y)) (* x (* 2.0 y))) (- (* (pow x 2) (pow x 2)) (* (* x (* 2.0 y)) (pow x 2)))) (- (* (* x (* 2.0 y)) (* x (* 2.0 y))) (* (pow x 2) (pow x 2))) (- (* x (* 2.0 y)) (pow x 2)) (+ (* 2.0 y) x) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.509 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 (* h1 h2))) (exp (pow h0 2))) (log (+ (* h0 (* h1 h2)) (pow h0 2))) (exp (+ (* h0 (* h1 h2)) (pow h0 2))) (* (cbrt (+ (* h0 (* h1 h2)) (pow h0 2))) (cbrt (+ (* h0 (* h1 h2)) (pow h0 2)))) (cbrt (+ (* h0 (* h1 h2)) (pow h0 2))) (* (* (+ (* h0 (* h1 h2)) (pow h0 2)) (+ (* h0 (* h1 h2)) (pow h0 2))) (+ (* h0 (* h1 h2)) (pow h0 2))) (sqrt (+ (* h0 (* h1 h2)) (pow h0 2))) (sqrt (+ (* h0 (* h1 h2)) (pow h0 2))) (+ (pow (* h0 (* h1 h2)) 3) (pow (pow h0 2) 3)) (+ (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (- (* (pow h0 2) (pow h0 2)) (* (* h0 (* h1 h2)) (pow h0 2)))) (- (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (* (pow h0 2) (pow h0 2))) (- (* h0 (* h1 h2)) (pow h0 2)) (+ (* h1 h2) h0) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) 0.512 * * [simplify]: iteration 0 : 100 enodes (cost 99 ) 0.514 * * [simplify]: iteration 1 : 386 enodes (cost 83 ) 0.524 * * [simplify]: iteration 2 : 1840 enodes (cost 78 ) 0.585 * * [simplify]: iteration 3 : 5002 enodes (cost 78 ) 0.586 * [simplify]: Simplified to: (pow (exp x) (+ (* 2.0 y) x)) (log (+ (* x (* 2.0 y)) (pow x 2))) (pow (exp x) (+ (* 2.0 y) x)) (* (cbrt (+ (* x (* 2.0 y)) (pow x 2))) (cbrt (+ (* x (* 2.0 y)) (pow x 2)))) (cbrt (+ (* x (* 2.0 y)) (pow x 2))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (+ (* x (* 2.0 y)) (pow x 2))) (sqrt (+ (* x (* 2.0 y)) (pow x 2))) (+ (pow (* x (* 2.0 y)) 3) (pow (pow x 2) 3)) (+ (* (* x (* 2.0 y)) (* x (- (* 2.0 y) x))) (pow x 4)) (* (pow x 2) (- (* (* 2.0 y) (* 2.0 y)) (pow x 2))) (* x (- (* 2.0 y) x)) (+ (* 2.0 y) x) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 0.586 * * * [progress]: adding candidates to table 0.617 * [progress]: [Phase 3 of 3] Extracting. 0.617 * * [regime]: Finding splitpoints for: (# #) 0.617 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.617 * * * * [regimes]: Trying to branch on y from (# #) 0.629 * * * * [regimes]: Trying to branch on x from (# #) 0.640 * * * [regime]: Found split indices: #