4.053 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (/ x (* y y)) 0.028 * * [simplify]: iteration 0: 4 enodes 0.029 * * [simplify]: iteration 1: 6 enodes 0.031 * * [simplify]: iteration complete: 6 enodes 0.031 * * [simplify]: Extracting #0: cost 1 inf + 0 0.031 * * [simplify]: Extracting #1: cost 5 inf + 0 0.031 * * [simplify]: Extracting #2: cost 2 inf + 5 0.031 * * [simplify]: Extracting #3: cost 0 inf + 13 0.031 * [simplify]: Simplified to: (/ x (* y y)) 0.031 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.058 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.059 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.059 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [backup-simplify]: Simplify x into x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ x 1) into x 0.060 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [backup-simplify]: Simplify y into y 0.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.060 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [backup-simplify]: Simplify y into y 0.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) 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 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.073 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.073 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.073 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.074 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.074 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.074 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) 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 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.083 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.083 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.084 * [taylor]: Taking taylor expansion of -1 in y 0.084 * [backup-simplify]: Simplify -1 into -1 0.084 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [backup-simplify]: Simplify x into x 0.084 * [backup-simplify]: Simplify (* 1 1) into 1 0.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.084 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.084 * [taylor]: Taking taylor expansion of -1 in x 0.084 * [backup-simplify]: Simplify -1 into -1 0.084 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.085 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.085 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.085 * [taylor]: Taking taylor expansion of -1 in x 0.085 * [backup-simplify]: Simplify -1 into -1 0.085 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.085 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.085 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.085 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of -1 in y 0.086 * [backup-simplify]: Simplify -1 into -1 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (* -1 1) into -1 0.087 * [backup-simplify]: Simplify -1 into -1 0.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.099 * * * [progress]: simplifying candidates 0.100 * [simplify]: Simplifying: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (- (log x) (+ (log y) (log y))) (- (log x) (log (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (/ (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.101 * * [simplify]: iteration 0: 45 enodes 0.124 * * [simplify]: iteration 1: 112 enodes 0.207 * * [simplify]: iteration 2: 616 enodes 0.576 * * [simplify]: iteration complete: 5001 enodes 0.576 * * [simplify]: Extracting #0: cost 20 inf + 0 0.579 * * [simplify]: Extracting #1: cost 750 inf + 0 0.589 * * [simplify]: Extracting #2: cost 2084 inf + 150 0.600 * * [simplify]: Extracting #3: cost 765 inf + 8301 0.608 * * [simplify]: Extracting #4: cost 10 inf + 13442 0.619 * * [simplify]: Extracting #5: cost 0 inf + 13388 0.627 * * [simplify]: Extracting #6: cost 0 inf + 13382 0.635 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- x) (* y (- y)) (/ (cbrt x) (/ y (cbrt x))) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (* (/ y (cbrt x)) y) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.635 * * * [progress]: adding candidates to table 0.731 * * [progress]: iteration 2 / 4 0.731 * * * [progress]: picking best candidate 0.763 * * * * [pick]: Picked # 0.763 * * * [progress]: localizing error 0.773 * * * [progress]: generating rewritten candidates 0.773 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.796 * * * [progress]: generating series expansions 0.796 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.797 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 0.797 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.797 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.797 * [backup-simplify]: Simplify x into x 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (/ x 1) into x 0.798 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.798 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.798 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.798 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.800 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.810 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.814 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.815 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 0.815 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.815 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [taylor]: Taking taylor expansion of x in y 0.815 * [backup-simplify]: Simplify x into x 0.815 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.816 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [backup-simplify]: Simplify y into y 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.816 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.816 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [backup-simplify]: Simplify y into y 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.816 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (* 1 1) into 1 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.825 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 0.825 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.825 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.825 * [taylor]: Taking taylor expansion of -1 in y 0.825 * [backup-simplify]: Simplify -1 into -1 0.825 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of x in y 0.826 * [backup-simplify]: Simplify x into x 0.826 * [backup-simplify]: Simplify (* 1 1) into 1 0.826 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.826 * [taylor]: Taking taylor expansion of -1 in x 0.826 * [backup-simplify]: Simplify -1 into -1 0.826 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [backup-simplify]: Simplify y into y 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.827 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.827 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.827 * [taylor]: Taking taylor expansion of -1 in x 0.827 * [backup-simplify]: Simplify -1 into -1 0.827 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [backup-simplify]: Simplify y into y 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.827 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.827 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.827 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.827 * [taylor]: Taking taylor expansion of -1 in y 0.827 * [backup-simplify]: Simplify -1 into -1 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (* -1 1) into -1 0.828 * [backup-simplify]: Simplify -1 into -1 0.828 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.836 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.841 * * * [progress]: simplifying candidates 0.843 * [simplify]: Simplifying: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (- (- (log x) (log y)) (log y)) (- (log (/ x y)) (log y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (/ (* (* (/ x y) (/ x y)) (/ x y)) (* (* y y) y)) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) 1) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ x y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 1) (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ x 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ (/ x y) 1) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.846 * * [simplify]: iteration 0: 142 enodes 0.903 * * [simplify]: iteration 1: 343 enodes 1.053 * * [simplify]: iteration 2: 1637 enodes 1.637 * * [simplify]: iteration complete: 5000 enodes 1.637 * * [simplify]: Extracting #0: cost 84 inf + 0 1.640 * * [simplify]: Extracting #1: cost 816 inf + 2 1.653 * * [simplify]: Extracting #2: cost 1850 inf + 1134 1.661 * * [simplify]: Extracting #3: cost 617 inf + 9379 1.669 * * [simplify]: Extracting #4: cost 0 inf + 13023 1.676 * * [simplify]: Extracting #5: cost 0 inf + 12997 1.687 * * [simplify]: Extracting #6: cost 0 inf + 12987 1.700 * [simplify]: Simplified to: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (pow (/ x y) 3) (pow y 3)) (/ (pow (/ x y) 3) (pow y 3)) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (* y y)) 3) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (/ (- x) y) (- y) (* (/ (cbrt (/ x y)) (* (cbrt y) (cbrt y))) (cbrt (/ x y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (cbrt (/ x y)) (/ (sqrt y) (cbrt (/ x y)))) (/ (cbrt (/ x y)) (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (pow (cbrt y) 3))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (cbrt x) (* (* (cbrt y) (cbrt y)) (/ (sqrt y) (cbrt x)))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (cbrt x) (* (* (cbrt y) (cbrt y)) (/ (sqrt y) (cbrt x)))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (/ (cbrt x) y) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (cbrt x) (* y (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (* y y)) (/ (sqrt x) (* (cbrt y) (pow (cbrt y) 3))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (* (cbrt y) (sqrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) y)) (/ (sqrt x) (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (* (cbrt y) (sqrt y))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* y (sqrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) y)) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* y (sqrt y))) (sqrt x) (/ (sqrt x) (* y y)) (/ 1 (* (cbrt y) (pow (cbrt y) 3))) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt y)) (* (sqrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ x (* y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ x (* y y)) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (cbrt y)) y) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) x (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x (* (cbrt y) (cbrt y))) y) (/ x (* (sqrt y) y)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (* (/ y (cbrt x)) (cbrt y)) (* (sqrt y) (/ y (cbrt x))) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) (cbrt y)) (* (/ y (sqrt x)) (sqrt y)) (/ y (/ (sqrt x) y)) (* (cbrt y) (/ y x)) (* (/ y x) (sqrt y)) (/ y (/ x y)) (/ y (/ x y)) (* y y) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 1.701 * * * [progress]: adding candidates to table 2.057 * * [progress]: iteration 3 / 4 2.057 * * * [progress]: picking best candidate 2.101 * * * * [pick]: Picked # 2.101 * * * [progress]: localizing error 2.115 * * * [progress]: generating rewritten candidates 2.115 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.157 * * * [progress]: generating series expansions 2.157 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.157 * [backup-simplify]: Simplify (* (/ 1 y) (/ x y)) into (/ x (pow y 2)) 2.157 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 2.157 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.157 * [taylor]: Taking taylor expansion of x in x 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.157 * [taylor]: Taking taylor expansion of y in x 2.157 * [backup-simplify]: Simplify y into y 2.157 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.157 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.157 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.157 * [taylor]: Taking taylor expansion of x in y 2.158 * [backup-simplify]: Simplify x into x 2.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.158 * [taylor]: Taking taylor expansion of y in y 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (* 1 1) into 1 2.158 * [backup-simplify]: Simplify (/ x 1) into x 2.158 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.158 * [taylor]: Taking taylor expansion of x in y 2.158 * [backup-simplify]: Simplify x into x 2.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.159 * [taylor]: Taking taylor expansion of y in y 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.159 * [backup-simplify]: Simplify (* 1 1) into 1 2.159 * [backup-simplify]: Simplify (/ x 1) into x 2.159 * [taylor]: Taking taylor expansion of x in x 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.159 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 2.161 * [taylor]: Taking taylor expansion of 0 in x 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.164 * [taylor]: Taking taylor expansion of 0 in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.167 * [taylor]: Taking taylor expansion of 0 in x 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 2.168 * [backup-simplify]: Simplify (* (/ 1 (/ 1 y)) (/ (/ 1 x) (/ 1 y))) into (/ (pow y 2) x) 2.168 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 2.168 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.168 * [taylor]: Taking taylor expansion of y in x 2.168 * [backup-simplify]: Simplify y into y 2.168 * [taylor]: Taking taylor expansion of x in x 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.168 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.168 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.168 * [taylor]: Taking taylor expansion of y in y 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [taylor]: Taking taylor expansion of x in y 2.168 * [backup-simplify]: Simplify x into x 2.169 * [backup-simplify]: Simplify (* 1 1) into 1 2.169 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.169 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.169 * [taylor]: Taking taylor expansion of y in y 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [taylor]: Taking taylor expansion of x in y 2.169 * [backup-simplify]: Simplify x into x 2.169 * [backup-simplify]: Simplify (* 1 1) into 1 2.169 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.169 * [taylor]: Taking taylor expansion of x in x 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.171 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.171 * [taylor]: Taking taylor expansion of 0 in x 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.173 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.173 * [taylor]: Taking taylor expansion of 0 in x 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.175 * [taylor]: Taking taylor expansion of 0 in x 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 2.177 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- y))) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 2.177 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 2.177 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.177 * [taylor]: Taking taylor expansion of -1 in x 2.177 * [backup-simplify]: Simplify -1 into -1 2.177 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.177 * [taylor]: Taking taylor expansion of y in x 2.177 * [backup-simplify]: Simplify y into y 2.177 * [taylor]: Taking taylor expansion of x in x 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.178 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.178 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.178 * [taylor]: Taking taylor expansion of -1 in y 2.178 * [backup-simplify]: Simplify -1 into -1 2.178 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.178 * [taylor]: Taking taylor expansion of y in y 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [taylor]: Taking taylor expansion of x in y 2.178 * [backup-simplify]: Simplify x into x 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.179 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.179 * [taylor]: Taking taylor expansion of -1 in y 2.179 * [backup-simplify]: Simplify -1 into -1 2.179 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.179 * [taylor]: Taking taylor expansion of y in y 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [taylor]: Taking taylor expansion of x in y 2.179 * [backup-simplify]: Simplify x into x 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.179 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 2.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.180 * [taylor]: Taking taylor expansion of -1 in x 2.180 * [backup-simplify]: Simplify -1 into -1 2.180 * [taylor]: Taking taylor expansion of x in x 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (/ -1 1) into -1 2.180 * [backup-simplify]: Simplify -1 into -1 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.181 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.181 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 2.182 * [taylor]: Taking taylor expansion of 0 in x 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.184 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.185 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.185 * [taylor]: Taking taylor expansion of 0 in x 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.188 * [taylor]: Taking taylor expansion of 0 in x 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 2.190 * * * [progress]: simplifying candidates 2.191 * [simplify]: Simplifying: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y)) (+ (- (log y)) (- (log x) (log y))) (+ (- (log y)) (log (/ x y))) (+ (- 0 (log y)) (- (log x) (log y))) (+ (- 0 (log y)) (log (/ x y))) (+ (- (log 1) (log y)) (- (log x) (log y))) (+ (- (log 1) (log y)) (log (/ x y))) (+ (log (/ 1 y)) (- (log x) (log y))) (+ (log (/ 1 y)) (log (/ x y))) (log (* (/ 1 y) (/ x y))) (exp (* (/ 1 y) (/ x y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (* (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (* 1 x) (* y y) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (/ (sqrt x) 1)) (* (/ 1 y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ 1 (sqrt y))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) x) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (* (/ (cbrt 1) (cbrt y)) (/ x y)) (* (/ (cbrt 1) (sqrt y)) (/ x y)) (* (/ (cbrt 1) y) (/ x y)) (* (/ (sqrt 1) (cbrt y)) (/ x y)) (* (/ (sqrt 1) (sqrt y)) (/ x y)) (* (/ (sqrt 1) y) (/ x y)) (* (/ 1 (cbrt y)) (/ x y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) x) (* 1 (/ x y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 2.193 * * [simplify]: iteration 0: 112 enodes 2.232 * * [simplify]: iteration 1: 350 enodes 2.489 * * [simplify]: iteration 2: 2093 enodes 3.333 * * [simplify]: iteration complete: 5001 enodes 3.334 * * [simplify]: Extracting #0: cost 35 inf + 0 3.335 * * [simplify]: Extracting #1: cost 643 inf + 1 3.339 * * [simplify]: Extracting #2: cost 1720 inf + 297 3.345 * * [simplify]: Extracting #3: cost 802 inf + 5517 3.350 * * [simplify]: Extracting #4: cost 83 inf + 10838 3.356 * * [simplify]: Extracting #5: cost 0 inf + 11536 3.363 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (/ (/ x y) y) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (pow x 3) (pow y 3)) (pow y 3)) (/ (pow (/ x y) 3) (pow y 3)) (/ (pow (/ 1 y) 3) (/ (pow y 3) (pow x 3))) (pow (/ (/ x y) y) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) x (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) y) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) y) (* (cbrt y) (cbrt y))) (/ (* (/ (cbrt x) (sqrt y)) (cbrt x)) y) (/ (* (cbrt x) (cbrt x)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) y) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ 1 y) (/ 1 y) (/ x y) (/ (* x (cbrt (/ 1 y))) y) (/ (* x (sqrt (/ 1 y))) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) (/ x y) (/ x y) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 3.364 * * * [progress]: adding candidates to table 3.600 * * [progress]: iteration 4 / 4 3.601 * * * [progress]: picking best candidate 3.628 * * * * [pick]: Picked # 3.628 * * * [progress]: localizing error 3.639 * * * [progress]: generating rewritten candidates 3.639 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.675 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.766 * * * [progress]: generating series expansions 3.766 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.767 * [backup-simplify]: Simplify (/ (/ 1 1) (/ y (/ x y))) into (/ x (pow y 2)) 3.767 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.767 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.767 * [taylor]: Taking taylor expansion of x in x 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.767 * [taylor]: Taking taylor expansion of y in x 3.768 * [backup-simplify]: Simplify y into y 3.768 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.768 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.768 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.768 * [taylor]: Taking taylor expansion of x in y 3.768 * [backup-simplify]: Simplify x into x 3.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.768 * [taylor]: Taking taylor expansion of y in y 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (* 1 1) into 1 3.769 * [backup-simplify]: Simplify (/ x 1) into x 3.769 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.769 * [taylor]: Taking taylor expansion of x in y 3.769 * [backup-simplify]: Simplify x into x 3.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.769 * [taylor]: Taking taylor expansion of y in y 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (* 1 1) into 1 3.769 * [backup-simplify]: Simplify (/ x 1) into x 3.769 * [taylor]: Taking taylor expansion of x in x 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.771 * [taylor]: Taking taylor expansion of 0 in x 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.773 * [taylor]: Taking taylor expansion of 0 in x 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [taylor]: Taking taylor expansion of 0 in x 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 3.777 * [backup-simplify]: Simplify (/ (/ 1 1) (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 3.777 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.778 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.778 * [taylor]: Taking taylor expansion of y in x 3.778 * [backup-simplify]: Simplify y into y 3.778 * [taylor]: Taking taylor expansion of x in x 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.778 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.778 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.778 * [taylor]: Taking taylor expansion of y in y 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [taylor]: Taking taylor expansion of x in y 3.778 * [backup-simplify]: Simplify x into x 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.778 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.778 * [taylor]: Taking taylor expansion of y in y 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [taylor]: Taking taylor expansion of x in y 3.778 * [backup-simplify]: Simplify x into x 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.779 * [taylor]: Taking taylor expansion of x in x 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (/ 1 1) into 1 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.779 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.779 * [taylor]: Taking taylor expansion of 0 in x 3.779 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.780 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.780 * [taylor]: Taking taylor expansion of 0 in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.782 * [taylor]: Taking taylor expansion of 0 in x 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.782 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 3.783 * [backup-simplify]: Simplify (/ (/ 1 1) (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 3.783 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 3.783 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.783 * [taylor]: Taking taylor expansion of -1 in x 3.783 * [backup-simplify]: Simplify -1 into -1 3.783 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.783 * [taylor]: Taking taylor expansion of y in x 3.783 * [backup-simplify]: Simplify y into y 3.783 * [taylor]: Taking taylor expansion of x in x 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.783 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.783 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.783 * [taylor]: Taking taylor expansion of -1 in y 3.783 * [backup-simplify]: Simplify -1 into -1 3.783 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.783 * [taylor]: Taking taylor expansion of y in y 3.783 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [taylor]: Taking taylor expansion of x in y 3.784 * [backup-simplify]: Simplify x into x 3.784 * [backup-simplify]: Simplify (* 1 1) into 1 3.784 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.784 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.784 * [taylor]: Taking taylor expansion of -1 in y 3.784 * [backup-simplify]: Simplify -1 into -1 3.784 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.784 * [taylor]: Taking taylor expansion of y in y 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [taylor]: Taking taylor expansion of x in y 3.784 * [backup-simplify]: Simplify x into x 3.784 * [backup-simplify]: Simplify (* 1 1) into 1 3.784 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.784 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 3.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.784 * [taylor]: Taking taylor expansion of -1 in x 3.784 * [backup-simplify]: Simplify -1 into -1 3.784 * [taylor]: Taking taylor expansion of x in x 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (/ -1 1) into -1 3.785 * [backup-simplify]: Simplify -1 into -1 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.785 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.786 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 3.786 * [taylor]: Taking taylor expansion of 0 in x 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.787 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.787 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.787 * [taylor]: Taking taylor expansion of 0 in x 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.789 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.789 * [taylor]: Taking taylor expansion of 0 in x 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 3.790 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.791 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 3.791 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.791 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.791 * [taylor]: Taking taylor expansion of y in x 3.791 * [backup-simplify]: Simplify y into y 3.791 * [taylor]: Taking taylor expansion of x in x 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.791 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.791 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.791 * [taylor]: Taking taylor expansion of y in y 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [taylor]: Taking taylor expansion of x in y 3.791 * [backup-simplify]: Simplify x into x 3.791 * [backup-simplify]: Simplify (* 1 1) into 1 3.791 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.791 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.791 * [taylor]: Taking taylor expansion of y in y 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [taylor]: Taking taylor expansion of x in y 3.791 * [backup-simplify]: Simplify x into x 3.792 * [backup-simplify]: Simplify (* 1 1) into 1 3.792 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.792 * [taylor]: Taking taylor expansion of x in x 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [backup-simplify]: Simplify (/ 1 1) into 1 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.792 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.793 * [taylor]: Taking taylor expansion of 0 in x 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.794 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.794 * [taylor]: Taking taylor expansion of 0 in x 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.795 * [taylor]: Taking taylor expansion of 0 in x 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 3.796 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 3.796 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.796 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.796 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.796 * [taylor]: Taking taylor expansion of y in x 3.796 * [backup-simplify]: Simplify y into y 3.796 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.796 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.796 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.796 * [taylor]: Taking taylor expansion of x in y 3.796 * [backup-simplify]: Simplify x into x 3.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.796 * [taylor]: Taking taylor expansion of y in y 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.797 * [backup-simplify]: Simplify (* 1 1) into 1 3.797 * [backup-simplify]: Simplify (/ x 1) into x 3.797 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.797 * [taylor]: Taking taylor expansion of x in y 3.797 * [backup-simplify]: Simplify x into x 3.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.797 * [taylor]: Taking taylor expansion of y in y 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.797 * [backup-simplify]: Simplify (* 1 1) into 1 3.797 * [backup-simplify]: Simplify (/ x 1) into x 3.797 * [taylor]: Taking taylor expansion of x in x 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.797 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.798 * [taylor]: Taking taylor expansion of 0 in x 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.800 * [taylor]: Taking taylor expansion of 0 in x 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.802 * [taylor]: Taking taylor expansion of 0 in x 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 3.802 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 3.802 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 3.802 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 3.802 * [taylor]: Taking taylor expansion of -1 in x 3.802 * [backup-simplify]: Simplify -1 into -1 3.802 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.802 * [taylor]: Taking taylor expansion of x in x 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.802 * [taylor]: Taking taylor expansion of y in x 3.802 * [backup-simplify]: Simplify y into y 3.802 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.802 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.802 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.802 * [taylor]: Taking taylor expansion of -1 in y 3.802 * [backup-simplify]: Simplify -1 into -1 3.802 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.802 * [taylor]: Taking taylor expansion of x in y 3.802 * [backup-simplify]: Simplify x into x 3.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.802 * [taylor]: Taking taylor expansion of y in y 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (* 1 1) into 1 3.803 * [backup-simplify]: Simplify (/ x 1) into x 3.803 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.803 * [taylor]: Taking taylor expansion of -1 in y 3.803 * [backup-simplify]: Simplify -1 into -1 3.803 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.803 * [taylor]: Taking taylor expansion of x in y 3.803 * [backup-simplify]: Simplify x into x 3.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.803 * [taylor]: Taking taylor expansion of y in y 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (* 1 1) into 1 3.803 * [backup-simplify]: Simplify (/ x 1) into x 3.803 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 3.803 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.803 * [taylor]: Taking taylor expansion of -1 in x 3.803 * [backup-simplify]: Simplify -1 into -1 3.803 * [taylor]: Taking taylor expansion of x in x 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.804 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 3.804 * [backup-simplify]: Simplify -1 into -1 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 3.805 * [taylor]: Taking taylor expansion of 0 in x 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 3.808 * [taylor]: Taking taylor expansion of 0 in x 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.808 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.811 * [taylor]: Taking taylor expansion of 0 in x 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 3.811 * * * [progress]: simplifying candidates 3.826 * [simplify]: Simplifying: (expm1 (/ (/ 1 1) (/ y (/ x y)))) (log1p (/ (/ 1 1) (/ y (/ x y)))) (- (- 0) (- (log y) (- (log x) (log y)))) (- (- 0) (- (log y) (log (/ x y)))) (- (- 0) (log (/ y (/ x y)))) (- (- (log 1)) (- (log y) (- (log x) (log y)))) (- (- (log 1)) (- (log y) (log (/ x y)))) (- (- (log 1)) (log (/ y (/ x y)))) (- (- 0 0) (- (log y) (- (log x) (log y)))) (- (- 0 0) (- (log y) (log (/ x y)))) (- (- 0 0) (log (/ y (/ x y)))) (- (- 0 (log 1)) (- (log y) (- (log x) (log y)))) (- (- 0 (log 1)) (- (log y) (log (/ x y)))) (- (- 0 (log 1)) (log (/ y (/ x y)))) (- (- (log 1) 0) (- (log y) (- (log x) (log y)))) (- (- (log 1) 0) (- (log y) (log (/ x y)))) (- (- (log 1) 0) (log (/ y (/ x y)))) (- (- (log 1) (log 1)) (- (log y) (- (log x) (log y)))) (- (- (log 1) (log 1)) (- (log y) (log (/ x y)))) (- (- (log 1) (log 1)) (log (/ y (/ x y)))) (- (log (/ 1 1)) (- (log y) (- (log x) (log y)))) (- (log (/ 1 1)) (- (log y) (log (/ x y)))) (- (log (/ 1 1)) (log (/ y (/ x y)))) (log (/ (/ 1 1) (/ y (/ x y)))) (exp (/ (/ 1 1) (/ y (/ x y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (* (cbrt (/ (/ 1 1) (/ y (/ x y)))) (cbrt (/ (/ 1 1) (/ y (/ x y))))) (cbrt (/ (/ 1 1) (/ y (/ x y)))) (* (* (/ (/ 1 1) (/ y (/ x y))) (/ (/ 1 1) (/ y (/ x y)))) (/ (/ 1 1) (/ y (/ x y)))) (sqrt (/ (/ 1 1) (/ y (/ x y)))) (sqrt (/ (/ 1 1) (/ y (/ x y)))) (- (/ 1 1)) (- (/ y (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt (/ 1 1)) (cbrt (/ y (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (sqrt (/ y (/ x y)))) (/ (cbrt (/ 1 1)) (sqrt (/ y (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (cbrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (sqrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (cbrt x) y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (sqrt x) y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ x (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ x (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ 1 y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (cbrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (sqrt (/ x y)))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (sqrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (cbrt x) y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (sqrt x) 1))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (sqrt x) y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ x (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ 1 (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ x (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ 1 1))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) 1)) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) x)) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ 1 y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt (/ 1 1)) (/ y (cbrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (sqrt (/ x y)))) (/ (cbrt (/ 1 1)) (/ y (sqrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ y (/ (cbrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ y (/ (cbrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt (/ 1 1)) (/ y (/ (cbrt x) y))) (/ (* (cbrt (/ 1 1)) 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(/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 3.871 * * [simplify]: iteration 0: 1176 enodes 8.766 * * [simplify]: iteration 1: 4894 enodes 9.569 * * [simplify]: iteration complete: 5001 enodes 9.570 * * [simplify]: Extracting #0: cost 220 inf + 0 9.573 * * [simplify]: Extracting #1: cost 1695 inf + 10 9.578 * * [simplify]: Extracting #2: cost 1034 inf + 2962 9.583 * * [simplify]: Extracting #3: cost 292 inf + 8892 9.588 * * [simplify]: Extracting #4: cost 6 inf + 12064 9.593 * * [simplify]: Extracting #5: cost 0 inf + 12129 9.609 * [simplify]: Simplified to: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ 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(/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (/ (sqrt (/ x y)) (cbrt y))) (/ (cbrt y) (sqrt (/ x y))) (/ (* (cbrt y) (cbrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (cbrt y) (/ (cbrt x) (cbrt y))) (/ (cbrt y) (/ (/ (cbrt x) (/ (sqrt y) (cbrt x))) (cbrt y))) (/ (cbrt y) (/ (cbrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))) (* (/ (cbrt y) (cbrt x)) y) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ (cbrt y) (sqrt x)) (cbrt y)) (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y))) (/ (cbrt y) (/ (sqrt x) (sqrt y))) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (* (/ (cbrt y) (sqrt x)) y) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ x (cbrt y))) (/ (cbrt y) (/ (/ 1 (sqrt y)) (cbrt y))) (* (/ (cbrt y) x) (sqrt y)) (* (cbrt y) (cbrt y)) (* (/ (cbrt y) x) y) (* (cbrt y) (cbrt y)) (* (/ (cbrt y) x) y) (/ (cbrt y) (/ x (cbrt y))) (/ (cbrt y) (/ 1 y)) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt y) (cbrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (sqrt y) (cbrt x)) (cbrt y)) (/ (sqrt y) (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ (sqrt y) (/ (cbrt x) (sqrt y))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) (sqrt x)) (cbrt y)) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (sqrt x)) (/ (sqrt y) (/ (sqrt x) y)) (* (/ (sqrt y) 1) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) x) (cbrt y)) (* (/ (sqrt y) 1) (sqrt y)) (* (/ (sqrt y) x) (sqrt y)) (sqrt y) (/ (sqrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (/ (sqrt y) (/ 1 y)) (/ (/ 1 (cbrt (/ x y))) (cbrt (/ x y))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ 1 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ y (cbrt x)) (cbrt y)) (/ 1 (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (* (/ y (cbrt x)) (sqrt y)) (/ 1 (* (cbrt x) (cbrt x))) (* (/ y (cbrt x)) y) (* (/ 1 (sqrt x)) (* (cbrt y) (cbrt y))) (* (/ y (sqrt x)) (cbrt y)) (/ 1 (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (* (/ y (sqrt x)) y) (* (cbrt y) (cbrt y)) (* (/ y x) (cbrt y)) (sqrt y) (* (/ y x) (sqrt y)) 1 (/ y (/ x y)) 1 (/ y (/ x y)) (/ 1 x) (* (/ y 1) y) (/ 1 (/ x y)) (/ (/ x y) y) (/ (/ y (cbrt (/ x y))) (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ y (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ y (* (cbrt x) (cbrt x))) (* (/ y (sqrt x)) (* (cbrt y) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (sqrt x)) (* (/ y 1) (* (cbrt y) (cbrt y))) (/ y (/ 1 (sqrt y))) y y (/ y x) (/ (/ x y) (cbrt y)) (/ x (* (sqrt y) y)) (/ (/ x y) y) (/ y x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) 9.617 * * * [progress]: adding candidates to table 10.944 * [progress]: [Phase 3 of 3] Extracting. 10.944 * * [regime]: Finding splitpoints for: (# # # # # # # #) 10.945 * * * [regime-changes]: Trying 2 branch expressions: (y x) 10.945 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 11.005 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 11.081 * * * [regime]: Found split indices: #