19.707 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (+ (+ x y) x) 0.026 * [simplify]: Sending expressions to egg_math: (+ (+ h0 h1) h0) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.096 * [backup-simplify]: Simplify (+ (+ x y) x) into (+ (* 2 x) y) 0.096 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.096 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.096 * [taylor]: Taking taylor expansion of 2 in y 0.096 * [backup-simplify]: Simplify 2 into 2 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [backup-simplify]: Simplify x into x 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.096 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.096 * [taylor]: Taking taylor expansion of 2 in x 0.096 * [backup-simplify]: Simplify 2 into 2 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.096 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.096 * [taylor]: Taking taylor expansion of 2 in x 0.096 * [backup-simplify]: Simplify 2 into 2 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (* 2 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 y) into y 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.099 * [backup-simplify]: Simplify (+ 2 0) into 2 0.099 * [taylor]: Taking taylor expansion of 2 in y 0.099 * [backup-simplify]: Simplify 2 into 2 0.099 * [backup-simplify]: Simplify 2 into 2 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 2 (* 1 x))) into (+ (* 2 x) y) 0.103 * [backup-simplify]: Simplify (+ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (+ (/ 1 y) (* 2 (/ 1 x))) 0.103 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.104 * [taylor]: Taking taylor expansion of 2 in y 0.104 * [backup-simplify]: Simplify 2 into 2 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [backup-simplify]: Simplify x into x 0.104 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of 2 in x 0.104 * [backup-simplify]: Simplify 2 into 2 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of 2 in x 0.105 * [backup-simplify]: Simplify 2 into 2 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify (* 2 1) into 2 0.107 * [backup-simplify]: Simplify (+ 0 2) into 2 0.107 * [taylor]: Taking taylor expansion of 2 in y 0.107 * [backup-simplify]: Simplify 2 into 2 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.108 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify 2 into 2 0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) 1))) into (+ (* 2 x) y) 0.127 * [backup-simplify]: Simplify (+ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (- (+ (/ 1 y) (* 2 (/ 1 x)))) 0.127 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.127 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.128 * [taylor]: Taking taylor expansion of 2 in y 0.128 * [backup-simplify]: Simplify 2 into 2 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [backup-simplify]: Simplify x into x 0.128 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.128 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [backup-simplify]: Simplify y into y 0.128 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of 2 in x 0.128 * [backup-simplify]: Simplify 2 into 2 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of 2 in x 0.129 * [backup-simplify]: Simplify 2 into 2 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [backup-simplify]: Simplify (* 2 1) into 2 0.130 * [backup-simplify]: Simplify (+ 0 2) into 2 0.131 * [backup-simplify]: Simplify (- 2) into -2 0.131 * [taylor]: Taking taylor expansion of -2 in y 0.131 * [backup-simplify]: Simplify -2 into -2 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.132 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [backup-simplify]: Simplify (- 1) into -1 0.133 * [backup-simplify]: Simplify -1 into -1 0.133 * [backup-simplify]: Simplify -2 into -2 0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) 1))) into (+ (* 2 x) y) 0.145 * * * [progress]: simplifying candidates 0.146 * [simplify]: Simplifying: (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.146 * [simplify]: Sending expressions to egg_math: (* (* (exp h0) (exp h1)) (exp h0)) (* (exp (+ h0 h1)) (exp h0)) (log (+ (+ h0 h1) h0)) (exp (+ (+ h0 h1) h0)) (* (cbrt (+ (+ h0 h1) h0)) (cbrt (+ (+ h0 h1) h0))) (cbrt (+ (+ h0 h1) h0)) (* (* (+ (+ h0 h1) h0) (+ (+ h0 h1) h0)) (+ (+ h0 h1) h0)) (sqrt (+ (+ h0 h1) h0)) (sqrt (+ (+ h0 h1) h0)) (+ (pow (+ h0 h1) 3) (pow h0 3)) (+ (* (+ h0 h1) (+ h0 h1)) (- (* h0 h0) (* (+ h0 h1) h0))) (- (* (+ h0 h1) (+ h0 h1)) (* h0 h0)) (- (+ h0 h1) h0) (+ (+ h0 h1) h0) (+ (+ h0 h1) h0) (+ h1 h0) (+ (* 2 h0) h1) (+ (* 2 h0) h1) (+ (* 2 h0) h1) 0.259 * * * [progress]: adding candidates to table 0.291 * [progress]: [Phase 3 of 3] Extracting. 0.293 * [simplify]: Simplifying: (+ (+ x y) x) 0.293 * [simplify]: Sending expressions to egg_math: (+ (+ h0 h1) h0) 0.961 * [regime-testing]: Baseline error score: 0.019252406550818852 0.966 * [regime-testing]: Oracle error score: 0.019252406550818852 0.966 * [regime-testing]: End program error score: 0.019252406550818852 1.010 * [regime-testing]: Target error score: 0