12.716 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (/ x (* y y)) 0.023 * * [simplify]: iteration 0: 4 enodes 0.025 * * [simplify]: iteration 1: 6 enodes 0.026 * * [simplify]: iteration complete: 6 enodes 0.026 * * [simplify]: Extracting #0: cost 1 inf + 0 0.026 * * [simplify]: Extracting #1: cost 5 inf + 0 0.026 * * [simplify]: Extracting #2: cost 2 inf + 5 0.026 * * [simplify]: Extracting #3: cost 0 inf + 13 0.026 * [simplify]: Simplified to: (/ x (* y y)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.043 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [backup-simplify]: Simplify x into x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify (/ x 1) into x 0.043 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [backup-simplify]: Simplify y into y 0.043 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.043 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.043 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [backup-simplify]: Simplify y into y 0.044 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.044 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [backup-simplify]: Simplify (* 1 1) into 1 0.044 * [backup-simplify]: Simplify (/ 1 1) into 1 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.045 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.046 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.048 * [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 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.051 * [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 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.051 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.051 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [backup-simplify]: Simplify x into x 0.051 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.051 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [backup-simplify]: Simplify y into y 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.052 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.057 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.057 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.057 * [taylor]: Taking taylor expansion of -1 in y 0.057 * [backup-simplify]: Simplify -1 into -1 0.057 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [backup-simplify]: Simplify -1 into -1 0.058 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.058 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [backup-simplify]: Simplify -1 into -1 0.058 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.058 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.058 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.058 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [backup-simplify]: Simplify -1 into -1 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (* -1 1) into -1 0.059 * [backup-simplify]: Simplify -1 into -1 0.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.064 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.067 * * * [progress]: simplifying candidates 0.067 * [simplify]: Simplifying: (- (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)) 0.067 * * [simplify]: iteration 0: 43 enodes 0.075 * * [simplify]: iteration 1: 109 enodes 0.122 * * [simplify]: iteration 2: 579 enodes 0.493 * * [simplify]: iteration complete: 5001 enodes 0.493 * * [simplify]: Extracting #0: cost 18 inf + 0 0.495 * * [simplify]: Extracting #1: cost 768 inf + 0 0.510 * * [simplify]: Extracting #2: cost 2121 inf + 47 0.526 * * [simplify]: Extracting #3: cost 1012 inf + 6744 0.542 * * [simplify]: Extracting #4: cost 18 inf + 13694 0.557 * * [simplify]: Extracting #5: cost 0 inf + 13678 0.572 * * [simplify]: Extracting #6: cost 0 inf + 13674 0.588 * [simplify]: Simplified to: (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) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ (/ 1 y) y) (/ y (/ x y)) (/ x y) (/ y (/ (cbrt x) y)) (* (/ y (sqrt x)) y) (/ y (/ x y)) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 0.588 * * * [progress]: adding candidates to table 0.686 * * [progress]: iteration 2 / 4 0.686 * * * [progress]: picking best candidate 0.701 * * * * [pick]: Picked # 0.701 * * * [progress]: localizing error 0.706 * * * [progress]: generating rewritten candidates 0.706 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.730 * * * [progress]: generating series expansions 0.730 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.730 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 0.730 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.730 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [backup-simplify]: Simplify x into x 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ x 1) into x 0.731 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [backup-simplify]: Simplify y into y 0.731 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.731 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.731 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.732 * [backup-simplify]: Simplify y into y 0.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (* 1 1) into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.733 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.736 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.741 * [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 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.745 * [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 0.745 * [taylor]: Taking taylor expansion of 0 in y 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.746 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 0.746 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.746 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [taylor]: Taking taylor expansion of x in y 0.746 * [backup-simplify]: Simplify x into x 0.746 * [backup-simplify]: Simplify (* 1 1) into 1 0.746 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.746 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.747 * [taylor]: Taking taylor expansion of y in x 0.747 * [backup-simplify]: Simplify y into y 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.747 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.747 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.747 * [taylor]: Taking taylor expansion of y in x 0.747 * [backup-simplify]: Simplify y into y 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.747 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (* 1 1) into 1 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [taylor]: Taking taylor expansion of 0 in y 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.756 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 0.756 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.756 * [taylor]: Taking taylor expansion of -1 in y 0.756 * [backup-simplify]: Simplify -1 into -1 0.756 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of x in y 0.757 * [backup-simplify]: Simplify x into x 0.757 * [backup-simplify]: Simplify (* 1 1) into 1 0.757 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.757 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.757 * [taylor]: Taking taylor expansion of -1 in x 0.757 * [backup-simplify]: Simplify -1 into -1 0.757 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [backup-simplify]: Simplify y into y 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.758 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.758 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.758 * [taylor]: Taking taylor expansion of -1 in x 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [backup-simplify]: Simplify y into y 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.758 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.758 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.758 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of -1 in y 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (* -1 1) into -1 0.759 * [backup-simplify]: Simplify -1 into -1 0.759 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.765 * [taylor]: Taking taylor expansion of 0 in y 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.772 * * * [progress]: simplifying candidates 0.774 * [simplify]: Simplifying: (- (- (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)) 0.777 * * [simplify]: iteration 0: 140 enodes 0.839 * * [simplify]: iteration 1: 338 enodes 1.039 * * [simplify]: iteration 2: 1607 enodes 1.557 * * [simplify]: iteration complete: 5000 enodes 1.557 * * [simplify]: Extracting #0: cost 79 inf + 0 1.564 * * [simplify]: Extracting #1: cost 802 inf + 2 1.569 * * [simplify]: Extracting #2: cost 1740 inf + 1285 1.576 * * [simplify]: Extracting #3: cost 675 inf + 8802 1.587 * * [simplify]: Extracting #4: cost 6 inf + 12882 1.599 * * [simplify]: Extracting #5: cost 0 inf + 12902 1.611 * * [simplify]: Extracting #6: cost 0 inf + 12896 1.624 * [simplify]: Simplified to: (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 (/ x y)) (cbrt 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) (/ (sqrt y) (cbrt x))) (cbrt y)) (cbrt y)) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (cbrt y)) (cbrt y)) (/ (cbrt x) (* (cbrt y) y)) (/ (/ (/ (cbrt x) (/ (sqrt y) (cbrt x))) (cbrt y)) (cbrt y)) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (cbrt x) (/ y (cbrt x))) (/ (cbrt x) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (cbrt y)) (cbrt y)) (/ (cbrt x) (* (cbrt y) y)) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (cbrt x) (* (sqrt y) y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (* y y)) (/ (/ (sqrt x) (pow (cbrt y) 3)) (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))) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* (sqrt y) y)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* y (cbrt y))) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* (sqrt y) y)) (sqrt x) (/ (sqrt x) (* y y)) (/ (/ 1 (pow (cbrt y) 3)) (cbrt y)) (/ (/ x (cbrt y)) (cbrt y)) (/ 1 (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ x (* y (cbrt y))) (/ 1 (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x (sqrt y)) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ x (* y y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ x (* y y)) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt y)) y) (/ x (sqrt y)) (/ (/ 1 (sqrt y)) y) x (/ 1 (* y y)) (/ 1 y) (* y (/ y x)) (/ x (* (* (cbrt y) (cbrt y)) y)) (/ (/ x y) (sqrt y)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (* (/ y (cbrt x)) (sqrt y)) (* (/ y (cbrt x)) y) (* (cbrt y) (/ y (sqrt x))) (* (/ y (sqrt x)) (sqrt y)) (* y (/ y (sqrt x))) (* (cbrt y) (/ y x)) (/ y (/ x (sqrt y))) (* y (/ y x)) (* y (/ y x)) (* y y) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 1.625 * * * [progress]: adding candidates to table 1.971 * * [progress]: iteration 3 / 4 1.971 * * * [progress]: picking best candidate 1.998 * * * * [pick]: Picked # 1.998 * * * [progress]: localizing error 2.011 * * * [progress]: generating rewritten candidates 2.011 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.039 * * * [progress]: generating series expansions 2.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.039 * [backup-simplify]: Simplify (* (/ x y) (/ 1 y)) into (/ x (pow y 2)) 2.039 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 2.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.039 * [taylor]: Taking taylor expansion of x in y 2.039 * [backup-simplify]: Simplify x into x 2.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.039 * [taylor]: Taking taylor expansion of y in y 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (* 1 1) into 1 2.039 * [backup-simplify]: Simplify (/ x 1) into x 2.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.040 * [taylor]: Taking taylor expansion of y in x 2.040 * [backup-simplify]: Simplify y into y 2.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.040 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.040 * [taylor]: Taking taylor expansion of y in x 2.040 * [backup-simplify]: Simplify y into y 2.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.040 * [taylor]: Taking taylor expansion of y in y 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (* 1 1) into 1 2.041 * [backup-simplify]: Simplify (/ 1 1) into 1 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.041 * [taylor]: Taking taylor expansion of 0 in y 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.043 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.043 * [taylor]: Taking taylor expansion of 0 in y 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.045 * [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 2.045 * [taylor]: Taking taylor expansion of 0 in y 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.047 * [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 2.047 * [taylor]: Taking taylor expansion of 0 in y 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 2.048 * [backup-simplify]: Simplify (* (/ (/ 1 x) (/ 1 y)) (/ 1 (/ 1 y))) into (/ (pow y 2) x) 2.048 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 2.048 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.048 * [taylor]: Taking taylor expansion of y in y 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [taylor]: Taking taylor expansion of x in y 2.048 * [backup-simplify]: Simplify x into x 2.048 * [backup-simplify]: Simplify (* 1 1) into 1 2.048 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.048 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.048 * [taylor]: Taking taylor expansion of y in x 2.048 * [backup-simplify]: Simplify y into y 2.048 * [taylor]: Taking taylor expansion of x in x 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.048 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.048 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.048 * [taylor]: Taking taylor expansion of y in x 2.048 * [backup-simplify]: Simplify y into y 2.048 * [taylor]: Taking taylor expansion of x in x 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.048 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.049 * [taylor]: Taking taylor expansion of y in y 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (* 1 1) into 1 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 2.050 * [taylor]: Taking taylor expansion of 0 in y 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [taylor]: Taking taylor expansion of 0 in y 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [taylor]: Taking taylor expansion of 0 in y 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 2.054 * [backup-simplify]: Simplify (* (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 2.054 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 2.054 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.054 * [taylor]: Taking taylor expansion of -1 in y 2.054 * [backup-simplify]: Simplify -1 into -1 2.054 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.054 * [taylor]: Taking taylor expansion of y in y 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [taylor]: Taking taylor expansion of x in y 2.055 * [backup-simplify]: Simplify x into x 2.055 * [backup-simplify]: Simplify (* 1 1) into 1 2.055 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.055 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.055 * [taylor]: Taking taylor expansion of -1 in x 2.055 * [backup-simplify]: Simplify -1 into -1 2.055 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.055 * [taylor]: Taking taylor expansion of y in x 2.055 * [backup-simplify]: Simplify y into y 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.055 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.055 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.055 * [taylor]: Taking taylor expansion of -1 in x 2.056 * [backup-simplify]: Simplify -1 into -1 2.056 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.056 * [taylor]: Taking taylor expansion of y in x 2.056 * [backup-simplify]: Simplify y into y 2.056 * [taylor]: Taking taylor expansion of x in x 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.056 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.056 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 2.056 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 2.056 * [taylor]: Taking taylor expansion of -1 in y 2.056 * [backup-simplify]: Simplify -1 into -1 2.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.056 * [taylor]: Taking taylor expansion of y in y 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (* 1 1) into 1 2.057 * [backup-simplify]: Simplify (* -1 1) into -1 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 2.059 * [taylor]: Taking taylor expansion of 0 in y 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.060 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.063 * [taylor]: Taking taylor expansion of 0 in y 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.070 * [taylor]: Taking taylor expansion of 0 in y 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 2.070 * * * [progress]: simplifying candidates 2.071 * [simplify]: Simplifying: (* (/ x y) (/ 1 y)) (+ (- (log x) (log y)) (- (log y))) (+ (- (log x) (log y)) (- 0 (log y))) (+ (- (log x) (log y)) (- (log 1) (log y))) (+ (- (log x) (log y)) (log (/ 1 y))) (+ (log (/ x y)) (- (log y))) (+ (log (/ x y)) (- 0 (log y))) (+ (log (/ x y)) (- (log 1) (log y))) (+ (log (/ x y)) (log (/ 1 y))) (log (* (/ x y) (/ 1 y))) (exp (* (/ x y) (/ 1 y))) (* (/ (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (/ (* (* x x) x) (* (* y y) y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y)))) (cbrt (* (/ x y) (/ 1 y))) (* (* (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (* x 1) (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ x y) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt 1) (sqrt y))) (* (/ x y) (/ (sqrt 1) 1)) (* (/ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x y) (/ 1 (sqrt y))) (* (/ x y) (/ 1 1)) (* (/ x y) 1) (* (/ x y) 1) (* (cbrt (/ x y)) (/ 1 y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ 1 y)) (* (/ (cbrt x) (sqrt y)) (/ 1 y)) (* (/ (cbrt x) y) (/ 1 y)) (* (/ (sqrt x) (cbrt y)) (/ 1 y)) (* (/ (sqrt x) (sqrt y)) (/ 1 y)) (* (/ (sqrt x) y) (/ 1 y)) (* (/ x (cbrt y)) (/ 1 y)) (* (/ x (sqrt y)) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ 1 y) (/ 1 y)) (* (/ x y) 1) (* x (/ 1 y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 2.073 * * [simplify]: iteration 0: 110 enodes 2.129 * * [simplify]: iteration 1: 341 enodes 2.421 * * [simplify]: iteration 2: 2097 enodes 3.499 * * [simplify]: iteration complete: 5002 enodes 3.500 * * [simplify]: Extracting #0: cost 32 inf + 0 3.501 * * [simplify]: Extracting #1: cost 893 inf + 1 3.506 * * [simplify]: Extracting #2: cost 2191 inf + 588 3.518 * * [simplify]: Extracting #3: cost 838 inf + 8737 3.531 * * [simplify]: Extracting #4: cost 44 inf + 14760 3.554 * * [simplify]: Extracting #5: cost 0 inf + 15105 3.567 * [simplify]: Simplified to: (/ (/ 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 y) 3) (pow y 3)) (* (pow (/ 1 y) 3) (pow (/ x y) 3)) (/ (pow (/ x y) 3) (pow y 3)) (* (pow (/ 1 y) 3) (pow (/ x 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 (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (* x (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) y) (/ (* (sqrt (/ 1 y)) x) y) (/ x (* (* (cbrt y) (cbrt y)) y)) (/ (/ x y) (sqrt y)) (/ x y) (/ x (* (* (cbrt y) (cbrt y)) y)) (/ (/ x y) (sqrt y)) (/ x y) (/ x (* (* (cbrt y) (cbrt y)) y)) (/ (/ x y) (sqrt y)) (/ x y) (/ x y) (/ x 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) (/ x y) (/ x y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 3.568 * * * [progress]: adding candidates to table 3.772 * * [progress]: iteration 4 / 4 3.772 * * * [progress]: picking best candidate 3.782 * * * * [pick]: Picked # 3.782 * * * [progress]: localizing error 3.791 * * * [progress]: generating rewritten candidates 3.791 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.807 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.840 * * * [progress]: generating series expansions 3.841 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.841 * [backup-simplify]: Simplify (/ (/ 1 1) (* y (/ y x))) into (/ x (pow y 2)) 3.841 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.841 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.842 * [taylor]: Taking taylor expansion of x in x 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.842 * [taylor]: Taking taylor expansion of y in x 3.842 * [backup-simplify]: Simplify y into y 3.842 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.842 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.842 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.842 * [taylor]: Taking taylor expansion of x in y 3.842 * [backup-simplify]: Simplify x into x 3.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.842 * [taylor]: Taking taylor expansion of y in y 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify (* 1 1) into 1 3.843 * [backup-simplify]: Simplify (/ x 1) into x 3.843 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.843 * [taylor]: Taking taylor expansion of x in y 3.843 * [backup-simplify]: Simplify x into x 3.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.843 * [taylor]: Taking taylor expansion of y in y 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify (* 1 1) into 1 3.844 * [backup-simplify]: Simplify (/ x 1) into x 3.844 * [taylor]: Taking taylor expansion of x in x 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.845 * [taylor]: Taking taylor expansion of 0 in x 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.848 * [taylor]: Taking taylor expansion of 0 in x 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.851 * [taylor]: Taking taylor expansion of 0 in x 3.851 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 3.852 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ 1 y) (/ (/ 1 y) (/ 1 x)))) into (/ (pow y 2) x) 3.852 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.852 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.852 * [taylor]: Taking taylor expansion of y in x 3.852 * [backup-simplify]: Simplify y into y 3.852 * [taylor]: Taking taylor expansion of x in x 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.852 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.852 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.852 * [taylor]: Taking taylor expansion of y in y 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [taylor]: Taking taylor expansion of x in y 3.852 * [backup-simplify]: Simplify x into x 3.853 * [backup-simplify]: Simplify (* 1 1) into 1 3.853 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.853 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.853 * [taylor]: Taking taylor expansion of y in y 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [taylor]: Taking taylor expansion of x in y 3.853 * [backup-simplify]: Simplify x into x 3.853 * [backup-simplify]: Simplify (* 1 1) into 1 3.853 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.854 * [taylor]: Taking taylor expansion of x in x 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [backup-simplify]: Simplify (/ 1 1) into 1 3.854 * [backup-simplify]: Simplify 1 into 1 3.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.855 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.855 * [taylor]: Taking taylor expansion of 0 in x 3.855 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.857 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.857 * [taylor]: Taking taylor expansion of 0 in x 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.859 * [taylor]: Taking taylor expansion of 0 in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 3.861 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ 1 (- y)) (/ (/ 1 (- y)) (/ 1 (- x))))) into (* -1 (/ (pow y 2) x)) 3.861 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 3.861 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.861 * [taylor]: Taking taylor expansion of -1 in x 3.861 * [backup-simplify]: Simplify -1 into -1 3.861 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.861 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.861 * [taylor]: Taking taylor expansion of y in x 3.862 * [backup-simplify]: Simplify y into y 3.862 * [taylor]: Taking taylor expansion of x in x 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.862 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.862 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.862 * [taylor]: Taking taylor expansion of -1 in y 3.862 * [backup-simplify]: Simplify -1 into -1 3.862 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.862 * [taylor]: Taking taylor expansion of y in y 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 1 into 1 3.862 * [taylor]: Taking taylor expansion of x in y 3.862 * [backup-simplify]: Simplify x into x 3.863 * [backup-simplify]: Simplify (* 1 1) into 1 3.863 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.863 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.863 * [taylor]: Taking taylor expansion of -1 in y 3.863 * [backup-simplify]: Simplify -1 into -1 3.863 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.863 * [taylor]: Taking taylor expansion of y in y 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [taylor]: Taking taylor expansion of x in y 3.863 * [backup-simplify]: Simplify x into x 3.863 * [backup-simplify]: Simplify (* 1 1) into 1 3.863 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.864 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 3.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.864 * [taylor]: Taking taylor expansion of -1 in x 3.864 * [backup-simplify]: Simplify -1 into -1 3.864 * [taylor]: Taking taylor expansion of x in x 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ -1 1) into -1 3.864 * [backup-simplify]: Simplify -1 into -1 3.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.865 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.866 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 3.866 * [taylor]: Taking taylor expansion of 0 in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.868 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.869 * [taylor]: Taking taylor expansion of 0 in x 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.873 * [taylor]: Taking taylor expansion of 0 in x 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 3.875 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.875 * [backup-simplify]: Simplify (* y (/ y x)) into (/ (pow y 2) x) 3.875 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.875 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.875 * [taylor]: Taking taylor expansion of y in x 3.875 * [backup-simplify]: Simplify y into y 3.875 * [taylor]: Taking taylor expansion of x in x 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 1 into 1 3.875 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.875 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.875 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.875 * [taylor]: Taking taylor expansion of y in y 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 1 into 1 3.875 * [taylor]: Taking taylor expansion of x in y 3.875 * [backup-simplify]: Simplify x into x 3.876 * [backup-simplify]: Simplify (* 1 1) into 1 3.876 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.876 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.876 * [taylor]: Taking taylor expansion of y in y 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 1 into 1 3.876 * [taylor]: Taking taylor expansion of x in y 3.876 * [backup-simplify]: Simplify x into x 3.876 * [backup-simplify]: Simplify (* 1 1) into 1 3.876 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.877 * [taylor]: Taking taylor expansion of x in x 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (/ 1 1) into 1 3.877 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.878 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.878 * [taylor]: Taking taylor expansion of 0 in x 3.878 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.880 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.880 * [taylor]: Taking taylor expansion of 0 in x 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.883 * [taylor]: Taking taylor expansion of 0 in x 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 3.885 * [backup-simplify]: Simplify (* (/ 1 y) (/ (/ 1 y) (/ 1 x))) into (/ x (pow y 2)) 3.885 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.885 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.885 * [taylor]: Taking taylor expansion of x in x 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.885 * [taylor]: Taking taylor expansion of y in x 3.885 * [backup-simplify]: Simplify y into y 3.885 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.886 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.886 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.886 * [taylor]: Taking taylor expansion of x in y 3.886 * [backup-simplify]: Simplify x into x 3.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.886 * [taylor]: Taking taylor expansion of y in y 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.886 * [backup-simplify]: Simplify (* 1 1) into 1 3.886 * [backup-simplify]: Simplify (/ x 1) into x 3.887 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.887 * [taylor]: Taking taylor expansion of x in y 3.887 * [backup-simplify]: Simplify x into x 3.887 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.887 * [taylor]: Taking taylor expansion of y in y 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (* 1 1) into 1 3.887 * [backup-simplify]: Simplify (/ x 1) into x 3.887 * [taylor]: Taking taylor expansion of x in x 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.889 * [taylor]: Taking taylor expansion of 0 in x 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.892 * [taylor]: Taking taylor expansion of 0 in x 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.895 * [taylor]: Taking taylor expansion of 0 in x 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 3.896 * [backup-simplify]: Simplify (* (/ 1 (- y)) (/ (/ 1 (- y)) (/ 1 (- x)))) into (* -1 (/ x (pow y 2))) 3.896 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 3.896 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 3.896 * [taylor]: Taking taylor expansion of -1 in x 3.896 * [backup-simplify]: Simplify -1 into -1 3.896 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.896 * [taylor]: Taking taylor expansion of x in x 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.896 * [taylor]: Taking taylor expansion of y in x 3.896 * [backup-simplify]: Simplify y into y 3.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.896 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.896 * [taylor]: Taking taylor expansion of -1 in y 3.896 * [backup-simplify]: Simplify -1 into -1 3.896 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.896 * [taylor]: Taking taylor expansion of x in y 3.896 * [backup-simplify]: Simplify x into x 3.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.896 * [taylor]: Taking taylor expansion of y in y 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.897 * [backup-simplify]: Simplify (* 1 1) into 1 3.897 * [backup-simplify]: Simplify (/ x 1) into x 3.897 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.897 * [taylor]: Taking taylor expansion of -1 in y 3.897 * [backup-simplify]: Simplify -1 into -1 3.897 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.897 * [taylor]: Taking taylor expansion of x in y 3.897 * [backup-simplify]: Simplify x into x 3.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.897 * [taylor]: Taking taylor expansion of y in y 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [backup-simplify]: Simplify (* 1 1) into 1 3.898 * [backup-simplify]: Simplify (/ x 1) into x 3.898 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 3.898 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.898 * [taylor]: Taking taylor expansion of -1 in x 3.898 * [backup-simplify]: Simplify -1 into -1 3.898 * [taylor]: Taking taylor expansion of x in x 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 3.899 * [backup-simplify]: Simplify -1 into -1 3.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.901 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 3.901 * [taylor]: Taking taylor expansion of 0 in x 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 3.902 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 3.905 * [taylor]: Taking taylor expansion of 0 in x 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.911 * [taylor]: Taking taylor expansion of 0 in x 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 3.911 * * * [progress]: simplifying candidates 3.913 * [simplify]: Simplifying: (- (- 0) (+ (log y) (- (log y) (log x)))) (- (- 0) (+ (log y) (log (/ y x)))) (- (- 0) (log (* y (/ y x)))) (- (- (log 1)) (+ (log y) (- (log y) (log x)))) (- (- (log 1)) (+ (log y) (log (/ y x)))) (- (- (log 1)) (log (* y (/ y x)))) (- (- 0 0) (+ (log y) (- (log y) (log x)))) (- (- 0 0) (+ (log y) (log (/ y x)))) (- (- 0 0) (log (* y (/ y x)))) (- (- 0 (log 1)) (+ (log y) (- (log y) (log x)))) (- (- 0 (log 1)) (+ (log y) (log (/ y x)))) (- (- 0 (log 1)) (log (* y (/ y x)))) (- (- (log 1) 0) (+ (log y) (- (log y) (log x)))) (- (- (log 1) 0) (+ (log y) (log (/ y x)))) (- (- (log 1) 0) (log (* y (/ y x)))) (- (- (log 1) (log 1)) (+ (log y) (- (log y) (log x)))) (- (- (log 1) (log 1)) (+ (log y) (log (/ y x)))) (- (- (log 1) (log 1)) (log (* y (/ y x)))) (- (log (/ 1 1)) (+ (log y) (- (log y) (log x)))) (- (log (/ 1 1)) (+ (log y) (log (/ y x)))) (- (log (/ 1 1)) (log (* y (/ y x)))) (log (/ (/ 1 1) (* y (/ y x)))) (exp (/ (/ 1 1) (* y (/ y x)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* y y) y) (/ (* (* y y) y) (* (* x x) x)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* y y) y) (* (* (/ y x) (/ y x)) (/ y x)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* y y) y) (/ (* (* y y) y) (* (* x x) x)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* y y) y) (* (* (/ y x) (/ y x)) (/ y x)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x)))) (* (cbrt (/ (/ 1 1) (* y (/ y x)))) (cbrt (/ (/ 1 1) (* y (/ y x))))) (cbrt (/ (/ 1 1) (* y (/ y x)))) (* (* (/ (/ 1 1) (* y (/ y x))) (/ (/ 1 1) (* y (/ y x)))) (/ (/ 1 1) (* y (/ y x)))) (sqrt (/ (/ 1 1) (* y (/ y x)))) (sqrt (/ (/ 1 1) (* y (/ y x)))) (- (/ 1 1)) (- (* y (/ y x))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) y) (/ (cbrt (/ 1 1)) (/ y x)) (/ (sqrt (/ 1 1)) y) (/ (sqrt (/ 1 1)) (/ y x)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))) y) (/ (/ (cbrt 1) (cbrt 1)) (/ y x)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) y) (/ (/ (cbrt 1) (sqrt 1)) (/ y x)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) y) (/ (/ (cbrt 1) 1) (/ y x)) (/ (/ (sqrt 1) (* (cbrt 1) (cbrt 1))) y) (/ (/ (sqrt 1) (cbrt 1)) (/ y x)) (/ (/ (sqrt 1) (sqrt 1)) y) (/ (/ (sqrt 1) (sqrt 1)) (/ y x)) (/ (/ (sqrt 1) 1) y) (/ (/ (sqrt 1) 1) (/ y x)) (/ (/ 1 (* (cbrt 1) (cbrt 1))) y) (/ (/ 1 (cbrt 1)) (/ y x)) (/ (/ 1 (sqrt 1)) y) (/ (/ 1 (sqrt 1)) (/ y x)) (/ (/ 1 1) y) (/ (/ 1 1) (/ y x)) (/ 1 y) (/ (/ 1 1) (/ y x)) (/ 1 y) (/ (/ 1 1) (/ y x)) (/ 1 (* y (/ y x))) (/ (* y (/ y x)) (/ 1 1)) (/ (/ 1 1) y) (/ (* y (/ y x)) (cbrt (/ 1 1))) (/ (* y (/ y x)) (sqrt (/ 1 1))) (/ (* y (/ y x)) (/ (cbrt 1) (cbrt 1))) (/ (* y (/ y x)) (/ (cbrt 1) (sqrt 1))) (/ (* y (/ y x)) (/ (cbrt 1) 1)) (/ (* y (/ y x)) (/ (sqrt 1) (cbrt 1))) (/ (* y (/ y x)) (/ (sqrt 1) (sqrt 1))) (/ (* y (/ y x)) (/ (sqrt 1) 1)) (/ (* y (/ y x)) (/ 1 (cbrt 1))) (/ (* y (/ y x)) (/ 1 (sqrt 1))) (/ (* y (/ y x)) (/ 1 1)) (/ (* y (/ y x)) (/ 1 1)) (/ (* y (/ y x)) (/ 1 1)) (/ (/ 1 1) (* y y)) (* (* y (/ y x)) 1) (* y (/ y x)) (+ (log y) (- (log y) (log x))) (+ (log y) (log (/ y x))) (log (* y (/ y x))) (exp (* y (/ y x))) (* (* (* y y) y) (/ (* (* y y) y) (* (* x x) x))) (* (* (* y y) y) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* y (/ y x))) (cbrt (* y (/ y x)))) (cbrt (* y (/ y x))) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x))) (sqrt (* y (/ y x))) (sqrt (* y (/ y x))) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (/ (sqrt y) (sqrt x))) (* (sqrt y) (/ (sqrt y) (sqrt x))) (* y (* (cbrt (/ y x)) (cbrt (/ y x)))) (* y (sqrt (/ y x))) (* y (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* y (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* y (/ (* (cbrt y) (cbrt y)) 1)) (* y (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt y) (sqrt x))) (* y (/ (sqrt y) 1)) (* y (/ 1 (* (cbrt x) (cbrt x)))) (* y (/ 1 (sqrt x))) (* y (/ 1 1)) (* y 1) (* y y) (* (cbrt y) (/ y x)) (* (sqrt y) (/ y x)) (* y (/ y x)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 3.916 * * [simplify]: iteration 0: 172 enodes 4.040 * * [simplify]: iteration 1: 560 enodes 4.452 * * [simplify]: iteration 2: 2575 enodes 6.362 * * [simplify]: iteration complete: 5000 enodes 6.362 * * [simplify]: Extracting #0: cost 41 inf + 0 6.365 * * [simplify]: Extracting #1: cost 1433 inf + 2 6.370 * * [simplify]: Extracting #2: cost 1157 inf + 2730 6.378 * * [simplify]: Extracting #3: cost 537 inf + 9055 6.384 * * [simplify]: Extracting #4: cost 2 inf + 13393 6.390 * * [simplify]: Extracting #5: cost 0 inf + 13411 6.402 * [simplify]: Simplified to: (- (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 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))) (exp (/ 1 (* (/ y x) y))) (/ (/ 1 (pow y 3)) (/ (pow y 3) (pow x 3))) (/ (/ 1 (pow y 3)) (pow (/ y x) 3)) (/ 1 (pow (/ (* y y) x) 3)) (/ (/ 1 (pow y 3)) (/ (pow y 3) (pow x 3))) (/ (/ 1 (pow y 3)) (pow (/ y x) 3)) (/ 1 (pow (/ (* y y) x) 3)) (* (cbrt (/ 1 (* (/ y x) y))) (cbrt (/ 1 (* (/ y x) y)))) (cbrt (/ 1 (* (/ y x) y))) (pow (/ 1 (* (/ y x) y)) 3) (sqrt (/ 1 (* (/ y x) y))) (sqrt (/ 1 (* (/ y x) y))) -1 (- (/ (* y y) x)) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 y) (/ (* 1 x) y) (/ 1 (* (/ y x) y)) (/ (* y y) x) (/ 1 y) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ 1 (* y y)) (/ (* y y) x) (/ (* y y) x) (log (/ (* y y) x)) (log (/ (* y y) x)) (log (/ (* y y) x)) (pow (exp y) (/ y x)) (/ (* (pow y 3) (pow y 3)) (pow x 3)) (* (pow (/ y x) 3) (pow y 3)) (* (cbrt (/ (* y y) x)) (cbrt (/ (* y y) x))) (cbrt (/ (* y y) x)) (pow (/ (* y y) x) 3) (sqrt (/ (* y y) x)) (sqrt (/ (* y y) x)) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (sqrt (/ y x))) (/ y (sqrt x)) (/ y (sqrt x)) (* y (* (cbrt (/ y x)) (cbrt (/ y x)))) (* y (sqrt (/ y x))) (/ (* (* (cbrt y) (cbrt y)) y) (* (cbrt x) (cbrt x))) (/ (* (* (cbrt y) (cbrt y)) y) (sqrt x)) (* (* y (cbrt y)) (cbrt y)) (/ (* (sqrt y) y) (* (cbrt x) (cbrt x))) (* y (/ (sqrt y) (sqrt x))) (* (sqrt y) y) (/ (/ y (cbrt x)) (cbrt x)) (/ y (sqrt x)) y y (* y y) (* (/ y x) (cbrt y)) (/ (sqrt y) (/ x y)) (/ (* y y) x) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) 6.403 * * * [progress]: adding candidates to table 6.685 * [progress]: [Phase 3 of 3] Extracting. 6.685 * * [regime]: Finding splitpoints for: (# # # # # # #) 6.686 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 6.686 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 6.760 * * * * [regimes]: Trying to branch on (* y y) from (# #) 6.798 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # # #) 6.871 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 6.937 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 6.975 * * * [regime]: Found split indices: #