13.409 * [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. 0.024 * [simplify]: Simplifying using # : (sqrt (+ x y)) 0.024 * [simplify]: Sending expressions to egg_math: (sqrt (+ h0 h1)) 0.026 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.028 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.028 * [simplify]: Simplified to: (sqrt (+ x y)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.041 * [taylor]: Taking taylor expansion of (+ x y) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.041 * [taylor]: Taking taylor expansion of (+ x y) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.044 * [taylor]: Taking taylor expansion of 1/2 in y 0.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.047 * [taylor]: Taking taylor expansion of -1/8 in y 0.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.054 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of +nan.0 in y 0.059 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.059 * [taylor]: Taking taylor expansion of +nan.0 in y 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of +nan.0 in y 0.061 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.061 * [taylor]: Taking taylor expansion of +nan.0 in y 0.061 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.061 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.062 * [taylor]: Taking taylor expansion of +nan.0 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.062 * [taylor]: Taking taylor expansion of +nan.0 in y 0.063 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.063 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.065 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.067 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of +nan.0 in y 0.070 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.070 * [taylor]: Taking taylor expansion of +nan.0 in y 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.070 * [taylor]: Taking taylor expansion of +nan.0 in y 0.072 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.072 * [taylor]: Taking taylor expansion of +nan.0 in y 0.072 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.072 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of +nan.0 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.072 * [taylor]: Taking taylor expansion of +nan.0 in y 0.074 * * * [progress]: simplifying candidates 0.074 * [simplify]: Simplifying using # : (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y))) (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt 1) (sqrt (+ x y)) (sqrt 1) (sqrt (+ x y)) (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (/ 1 2) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 0.074 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 h0) (- (* h2 h1)))))) (- (+ (* h2 (/ h1 (pow h0 2))) (- (+ (* h2 (/ h1 h0)) (- h2))))) (- (+ (* h2 (/ h1 (pow h0 2))) (- (+ (* h2 (/ h1 h0)) (- h2))))) 0.077 * * [simplify]: iteration 0 : 113 enodes (cost 89 ) 0.079 * * [simplify]: iteration 1 : 275 enodes (cost 81 ) 0.084 * * [simplify]: iteration 2 : 836 enodes (cost 78 ) 0.097 * * [simplify]: iteration 3 : 2361 enodes (cost 73 ) 0.140 * * [simplify]: iteration 4 : 5002 enodes (cost 73 ) 0.141 * [simplify]: Simplified to: (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) 1/2 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (* +nan.0 (- (- x y) (pow x 2))) (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0) (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0) 0.141 * * * [progress]: adding candidates to table 0.173 * [progress]: [Phase 3 of 3] Extracting. 0.175 * [simplify]: Simplifying using # : (sqrt (+ x y)) 0.175 * [simplify]: Sending expressions to egg_math: (sqrt (+ h0 h1)) 0.175 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.175 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.176 * [simplify]: Simplified to: (sqrt (+ x y)) 0.760 * [regime-testing]: End program error score: 0.007125890736342043