11.095 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (+ (+ x y) x) 0.018 * * [simplify]: iteration 0: 4 enodes 0.018 * * [simplify]: iteration 1: 6 enodes 0.019 * * [simplify]: iteration 2: 9 enodes 0.020 * * [simplify]: iteration 3: 11 enodes 0.021 * * [simplify]: iteration 4: 12 enodes 0.023 * * [simplify]: iteration complete: 12 enodes 0.023 * * [simplify]: Extracting #0: cost 1 inf + 0 0.023 * * [simplify]: Extracting #1: cost 5 inf + 0 0.023 * * [simplify]: Extracting #2: cost 4 inf + 2 0.023 * * [simplify]: Extracting #3: cost 0 inf + 14 0.023 * [simplify]: Simplified to: (+ x (+ y x)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.065 * [backup-simplify]: Simplify (+ x (+ y x)) into (+ (* 2 x) y) 0.065 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.065 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.065 * [taylor]: Taking taylor expansion of 2 in y 0.065 * [backup-simplify]: Simplify 2 into 2 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [backup-simplify]: Simplify x into x 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.065 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.065 * [taylor]: Taking taylor expansion of 2 in x 0.065 * [backup-simplify]: Simplify 2 into 2 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.065 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.065 * [taylor]: Taking taylor expansion of 2 in x 0.065 * [backup-simplify]: Simplify 2 into 2 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.066 * [backup-simplify]: Simplify (* 2 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 y) into y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.067 * [backup-simplify]: Simplify (+ 2 0) into 2 0.067 * [taylor]: Taking taylor expansion of 2 in y 0.067 * [backup-simplify]: Simplify 2 into 2 0.067 * [backup-simplify]: Simplify 2 into 2 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 2 (* 1 x))) into (+ (* 2 x) y) 0.069 * [backup-simplify]: Simplify (+ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (+ (* 2 (/ 1 x)) (/ 1 y)) 0.069 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.069 * [taylor]: Taking taylor expansion of 2 in y 0.069 * [backup-simplify]: Simplify 2 into 2 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [backup-simplify]: Simplify x into x 0.069 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of 2 in x 0.070 * [backup-simplify]: Simplify 2 into 2 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.070 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of 2 in x 0.070 * [backup-simplify]: Simplify 2 into 2 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.071 * [backup-simplify]: Simplify (* 2 1) into 2 0.071 * [backup-simplify]: Simplify (+ 2 0) into 2 0.071 * [taylor]: Taking taylor expansion of 2 in y 0.071 * [backup-simplify]: Simplify 2 into 2 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify 2 into 2 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) 1))) into (+ (* 2 x) y) 0.078 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (- (+ (* 2 (/ 1 x)) (/ 1 y))) 0.078 * [approximate]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (/ 1 y))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (/ 1 y))) in y 0.078 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.078 * [taylor]: Taking taylor expansion of 2 in y 0.078 * [backup-simplify]: Simplify 2 into 2 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [backup-simplify]: Simplify x into x 0.078 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.079 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of 2 in x 0.079 * [backup-simplify]: Simplify 2 into 2 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.079 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.079 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of 2 in x 0.079 * [backup-simplify]: Simplify 2 into 2 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.080 * [backup-simplify]: Simplify (* 2 1) into 2 0.080 * [backup-simplify]: Simplify (+ 2 0) into 2 0.080 * [backup-simplify]: Simplify (- 2) into -2 0.080 * [taylor]: Taking taylor expansion of -2 in y 0.080 * [backup-simplify]: Simplify -2 into -2 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.081 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (- 1) into -1 0.082 * [backup-simplify]: Simplify -1 into -1 0.082 * [backup-simplify]: Simplify -2 into -2 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) 1))) into (+ (* 2 x) y) 0.093 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying: (* (exp x) (* (exp y) (exp x))) (* (exp x) (exp (+ y 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 3) (pow (+ y x) 3)) (+ (* x x) (- (* (+ y x) (+ y x)) (* x (+ y x)))) (- (* x x) (* (+ y x) (+ y x))) (- x (+ y x)) (+ x (+ y x)) (+ x (+ y x)) (+ x y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.094 * * [simplify]: iteration 0: 32 enodes 0.103 * * [simplify]: iteration 1: 85 enodes 0.124 * * [simplify]: iteration 2: 262 enodes 0.241 * * [simplify]: iteration 3: 1119 enodes 0.646 * * [simplify]: iteration complete: 5002 enodes 0.647 * * [simplify]: Extracting #0: cost 12 inf + 0 0.647 * * [simplify]: Extracting #1: cost 181 inf + 0 0.650 * * [simplify]: Extracting #2: cost 1520 inf + 78 0.656 * * [simplify]: Extracting #3: cost 1771 inf + 5268 0.668 * * [simplify]: Extracting #4: cost 249 inf + 18524 0.681 * * [simplify]: Extracting #5: cost 52 inf + 20756 0.690 * * [simplify]: Extracting #6: cost 7 inf + 20961 0.701 * * [simplify]: Extracting #7: cost 0 inf + 21002 0.708 * [simplify]: Simplified to: (exp (+ x (+ x y))) (exp (+ x (+ x y))) (log (+ x (+ x y))) (exp (+ x (+ x y))) (* (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))) (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)) (* (+ x (+ x y)) (- y)) (- y) (+ x (+ x y)) (+ x (+ x y)) (+ x y) (+ x (+ x y)) (+ x (+ x y)) (+ x (+ x y)) 0.708 * * * [progress]: adding candidates to table 0.775 * [progress]: [Phase 3 of 3] Extracting. 0.779 * [simplify]: Simplifying: (+ x (+ y x)) 0.779 * * [simplify]: iteration 0: 4 enodes 0.779 * * [simplify]: iteration 1: 6 enodes 0.779 * * [simplify]: iteration complete: 6 enodes 0.779 * * [simplify]: Extracting #0: cost 1 inf + 0 0.779 * * [simplify]: Extracting #1: cost 3 inf + 0 0.780 * * [simplify]: Extracting #2: cost 3 inf + 1 0.780 * * [simplify]: Extracting #3: cost 0 inf + 10 0.780 * [simplify]: Simplified to: (+ x (+ y x)) 1.566 * [regime-testing]: Baseline error score: 0.019877484685585697 1.568 * [regime-testing]: Oracle error score: 0.019877484685585697 1.569 * [regime-testing]: End program error score: 0.019877484685585697 1.636 * [regime-testing]: Target error score: 0