4.111 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ x (/ (- y x) 2.0)) 0.014 * [simplify]: Sending expressions to egg_math: (+ h0 (/ (- h1 h0) h2)) 0.017 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 19 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 28 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 40 enodes (cost 3 ) 0.022 * * [simplify]: iteration 4 : 50 enodes (cost 3 ) 0.023 * * [simplify]: iteration 5 : 73 enodes (cost 3 ) 0.024 * * [simplify]: iteration 6 : 102 enodes (cost 3 ) 0.026 * * [simplify]: iteration 7 : 118 enodes (cost 3 ) 0.027 * * [simplify]: iteration 8 : 145 enodes (cost 3 ) 0.029 * * [simplify]: iteration 9 : 174 enodes (cost 3 ) 0.031 * * [simplify]: iteration 10 : 190 enodes (cost 3 ) 0.033 * * [simplify]: iteration 11 : 190 enodes (cost 3 ) 0.033 * [simplify]: Simplified to: (+ x (/ (- y x) 2.0)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.065 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 0.065 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 0.065 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 0.065 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.066 * [taylor]: Taking taylor expansion of 0.5 in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 0.5 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.072 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of 0.5 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 (* 0.5 (/ 1 x)) in y 0.073 * [taylor]: Taking taylor expansion of 0.5 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in y 0.075 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of 0.5 in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x)))) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x)))) in y 0.083 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.083 * [taylor]: Taking taylor expansion of 0.5 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.083 * [taylor]: Taking taylor expansion of 0.5 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x)))) in x 0.083 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of 0.5 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of 0.5 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x)))) in x 0.084 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.084 * [taylor]: Taking taylor expansion of 0.5 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of 0.5 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.085 * [taylor]: Taking taylor expansion of 0.5 in y 0.086 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.086 * [taylor]: Taking taylor expansion of 0.5 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.096 * * * [progress]: simplifying candidates 0.096 * [simplify]: Simplifying using # : (expm1 (+ x (/ (- y x) 2.0))) (log1p (+ x (/ (- y x) 2.0))) (* (exp x) (exp (/ (- y x) 2.0))) (log (+ x (/ (- y x) 2.0))) (exp (+ x (/ (- y x) 2.0))) (* (cbrt (+ x (/ (- y x) 2.0))) (cbrt (+ x (/ (- y x) 2.0)))) (cbrt (+ x (/ (- y x) 2.0))) (* (* (+ x (/ (- y x) 2.0)) (+ x (/ (- y x) 2.0))) (+ x (/ (- y x) 2.0))) (sqrt (+ x (/ (- y x) 2.0))) (sqrt (+ x (/ (- y x) 2.0))) (+ (pow x 3) (pow (/ (- y x) 2.0) 3)) (+ (* x x) (- (* (/ (- y x) 2.0) (/ (- y x) 2.0)) (* x (/ (- y x) 2.0)))) (- (* x x) (* (/ (- y x) 2.0) (/ (- y x) 2.0))) (- x (/ (- y x) 2.0)) (+ x (/ (- y x) 2.0)) (+ x (/ y 2.0)) (+ (* 0.5 x) (* 0.5 y)) (+ (* 0.5 x) (* 0.5 y)) (+ (* 0.5 x) (* 0.5 y)) 0.096 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (/ (- h1 h0) h2))) (log1p (+ h0 (/ (- h1 h0) h2))) (* (exp h0) (exp (/ (- h1 h0) h2))) (log (+ h0 (/ (- h1 h0) h2))) (exp (+ h0 (/ (- h1 h0) h2))) (* (cbrt (+ h0 (/ (- h1 h0) h2))) (cbrt (+ h0 (/ (- h1 h0) h2)))) (cbrt (+ h0 (/ (- h1 h0) h2))) (* (* (+ h0 (/ (- h1 h0) h2)) (+ h0 (/ (- h1 h0) h2))) (+ h0 (/ (- h1 h0) h2))) (sqrt (+ h0 (/ (- h1 h0) h2))) (sqrt (+ h0 (/ (- h1 h0) h2))) (+ (pow h0 3) (pow (/ (- h1 h0) h2) 3)) (+ (* h0 h0) (- (* (/ (- h1 h0) h2) (/ (- h1 h0) h2)) (* h0 (/ (- h1 h0) h2)))) (- (* h0 h0) (* (/ (- h1 h0) h2) (/ (- h1 h0) h2))) (- h0 (/ (- h1 h0) h2)) (+ h0 (/ (- h1 h0) h2)) (+ h0 (/ h1 h2)) (+ (* h3 h0) (* h3 h1)) (+ (* h3 h0) (* h3 h1)) (+ (* h3 h0) (* h3 h1)) 0.100 * * [simplify]: iteration 0 : 97 enodes (cost 86 ) 0.102 * * [simplify]: iteration 1 : 261 enodes (cost 78 ) 0.107 * * [simplify]: iteration 2 : 776 enodes (cost 78 ) 0.124 * * [simplify]: iteration 3 : 3838 enodes (cost 78 ) 0.178 * * [simplify]: iteration 4 : 5001 enodes (cost 77 ) 0.179 * [simplify]: Simplified to: (expm1 (+ x (/ (- y x) 2.0))) (log1p (+ x (/ (- y x) 2.0))) (exp (+ x (/ (- y x) 2.0))) (log (+ x (/ (- y x) 2.0))) (exp (+ x (/ (- y x) 2.0))) (* (cbrt (+ x (/ (- y x) 2.0))) (cbrt (+ x (/ (- y x) 2.0)))) (cbrt (+ x (/ (- y x) 2.0))) (pow (+ x (/ (- y x) 2.0)) 3) (sqrt (+ x (/ (- y x) 2.0))) (sqrt (+ x (/ (- y x) 2.0))) (+ (pow x 3) (pow (/ (- y x) 2.0) 3)) (fma (/ (- y x) 2.0) (- (/ (- y x) 2.0) x) (* x x)) (fma (/ (- y x) (* 2.0 2.0)) (- x y) (* x x)) (- x (/ (- y x) 2.0)) (+ x (/ (- y x) 2.0)) (+ x (/ y 2.0)) (fma 0.5 x (* 0.5 y)) (fma 0.5 x (* 0.5 y)) (fma 0.5 x (* 0.5 y)) 0.179 * * * [progress]: adding candidates to table 0.218 * * [progress]: iteration 2 / 4 0.218 * * * [progress]: picking best candidate 0.220 * * * * [pick]: Picked # 0.220 * * * [progress]: localizing error 0.224 * * * [progress]: generating rewritten candidates 0.224 * * * [progress]: generating series expansions 0.224 * * * [progress]: simplifying candidates 0.224 * [simplify]: Simplifying using # : 0.224 * [simplify]: Sending expressions to egg_math: 0.226 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.226 * [simplify]: Simplified to: 0.226 * * * [progress]: adding candidates to table 0.227 * [progress]: [Phase 3 of 3] Extracting. 0.228 * [simplify]: Simplifying using # : (fma 0.5 x (* 0.5 y)) 0.228 * [simplify]: Sending expressions to egg_math: (fma h0 h1 (* h0 h2)) 0.229 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.229 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.229 * [simplify]: Simplified to: (fma 0.5 x (* 0.5 y)) 0.613 * [regime-testing]: End program error score: 0 0.632 * [regime-testing]: Target error score: 0