10.288 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (/ x (* y y)) 0.024 * * [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 + 43 0.026 * * [simplify]: Extracting #3: cost 0 inf + 167 0.026 * [simplify]: Simplified to: (/ x (* y y)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.049 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify (/ x 1) into x 0.050 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.050 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) 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 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.060 * [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 0.060 * [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 0 into 0 0.060 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.060 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.060 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) 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 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [backup-simplify]: Simplify x into x 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.061 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.061 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.061 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.061 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (* 1 1) into 1 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) 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 (+ (* 1 0) (* 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 0.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.069 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.069 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.069 * [taylor]: Taking taylor expansion of -1 in y 0.069 * [backup-simplify]: Simplify -1 into -1 0.069 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [backup-simplify]: Simplify x into x 0.069 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.070 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.070 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.070 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.070 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.070 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.070 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of -1 in y 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (* -1 1) into -1 0.071 * [backup-simplify]: Simplify -1 into -1 0.071 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.077 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) 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 0.080 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.080 * * * [progress]: simplifying candidates 0.080 * [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)) 0.080 * * [simplify]: iteration 0: 45 enodes 0.093 * * [simplify]: iteration 1: 102 enodes 0.116 * * [simplify]: iteration 2: 305 enodes 0.319 * * [simplify]: iteration 3: 1298 enodes 1.151 * * [simplify]: iteration complete: 5003 enodes 1.151 * * [simplify]: Extracting #0: cost 20 inf + 0 1.153 * * [simplify]: Extracting #1: cost 811 inf + 0 1.158 * * [simplify]: Extracting #2: cost 1619 inf + 1783 1.191 * * [simplify]: Extracting #3: cost 794 inf + 103505 1.264 * * [simplify]: Extracting #4: cost 54 inf + 210852 1.350 * * [simplify]: Extracting #5: cost 1 inf + 221800 1.422 * * [simplify]: Extracting #6: cost 0 inf + 222053 1.488 * [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)) (* (/ (/ x y) y) (* (/ (/ x y) y) (/ (/ x y) y))) (* (/ (/ x y) y) (* (/ (/ x y) y) (/ (/ x 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))) (/ (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 y) y) (/ (/ x y) y) (/ (/ x y) y) 1.489 * * * [progress]: adding candidates to table 1.592 * * [progress]: iteration 2 / 4 1.593 * * * [progress]: picking best candidate 1.623 * * * * [pick]: Picked # 1.623 * * * [progress]: localizing error 1.633 * * * [progress]: generating rewritten candidates 1.633 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.652 * * * [progress]: generating series expansions 1.652 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.652 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 1.652 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 1.652 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.652 * [taylor]: Taking taylor expansion of x in y 1.652 * [backup-simplify]: Simplify x into x 1.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.652 * [taylor]: Taking taylor expansion of y in y 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (* 1 1) into 1 1.653 * [backup-simplify]: Simplify (/ x 1) into x 1.653 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.653 * [taylor]: Taking taylor expansion of y in x 1.653 * [backup-simplify]: Simplify y into y 1.653 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.653 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.653 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.654 * [backup-simplify]: Simplify y into y 1.654 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.654 * [taylor]: Taking taylor expansion of y in y 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (* 1 1) into 1 1.655 * [backup-simplify]: Simplify (/ 1 1) into 1 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.655 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.655 * [taylor]: Taking taylor expansion of 0 in y 1.655 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.657 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.658 * [taylor]: Taking taylor expansion of 0 in y 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.661 * [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 1.661 * [taylor]: Taking taylor expansion of 0 in y 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.668 * [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 1.668 * [taylor]: Taking taylor expansion of 0 in y 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 1.669 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 1.669 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 1.669 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.669 * [taylor]: Taking taylor expansion of y in y 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [taylor]: Taking taylor expansion of x in y 1.669 * [backup-simplify]: Simplify x into x 1.669 * [backup-simplify]: Simplify (* 1 1) into 1 1.669 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.669 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.670 * [taylor]: Taking taylor expansion of y in x 1.670 * [backup-simplify]: Simplify y into y 1.670 * [taylor]: Taking taylor expansion of x in x 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.670 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.670 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.670 * [taylor]: Taking taylor expansion of y in x 1.670 * [backup-simplify]: Simplify y into y 1.670 * [taylor]: Taking taylor expansion of x in x 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.670 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.670 * [taylor]: Taking taylor expansion of y in y 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (* 1 1) into 1 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 1.672 * [taylor]: Taking taylor expansion of 0 in y 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.674 * [taylor]: Taking taylor expansion of 0 in y 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.678 * [taylor]: Taking taylor expansion of 0 in y 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 1.678 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 1.678 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 1.678 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 1.678 * [taylor]: Taking taylor expansion of -1 in y 1.678 * [backup-simplify]: Simplify -1 into -1 1.678 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of x in y 1.678 * [backup-simplify]: Simplify x into x 1.679 * [backup-simplify]: Simplify (* 1 1) into 1 1.679 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.679 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.679 * [taylor]: Taking taylor expansion of -1 in x 1.679 * [backup-simplify]: Simplify -1 into -1 1.679 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.679 * [taylor]: Taking taylor expansion of y in x 1.679 * [backup-simplify]: Simplify y into y 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.679 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.679 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.679 * [taylor]: Taking taylor expansion of -1 in x 1.679 * [backup-simplify]: Simplify -1 into -1 1.679 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.679 * [taylor]: Taking taylor expansion of y in x 1.680 * [backup-simplify]: Simplify y into y 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.680 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.680 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 1.680 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 1.680 * [taylor]: Taking taylor expansion of -1 in y 1.680 * [backup-simplify]: Simplify -1 into -1 1.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.681 * [backup-simplify]: Simplify (* -1 1) into -1 1.681 * [backup-simplify]: Simplify -1 into -1 1.681 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 1.682 * [taylor]: Taking taylor expansion of 0 in y 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.686 * [taylor]: Taking taylor expansion of 0 in y 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.687 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.690 * [taylor]: Taking taylor expansion of 0 in y 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 1.690 * * * [progress]: simplifying candidates 1.691 * [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)) 1.693 * * [simplify]: iteration 0: 142 enodes 1.734 * * [simplify]: iteration 1: 323 enodes 1.868 * * [simplify]: iteration 2: 809 enodes 2.702 * * [simplify]: iteration 3: 4293 enodes 4.204 * * [simplify]: iteration complete: 5057 enodes 4.204 * * [simplify]: Extracting #0: cost 75 inf + 0 4.207 * * [simplify]: Extracting #1: cost 999 inf + 2 4.217 * * [simplify]: Extracting #2: cost 1860 inf + 12412 4.265 * * [simplify]: Extracting #3: cost 905 inf + 151956 4.330 * * [simplify]: Extracting #4: cost 121 inf + 264109 4.405 * * [simplify]: Extracting #5: cost 12 inf + 279355 4.469 * * [simplify]: Extracting #6: cost 0 inf + 282395 4.554 * [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)) (* (/ (/ x y) y) (* (/ (/ x y) y) (/ (/ x y) y))) (* (/ (/ x y) y) (* (/ (/ x y) y) (/ (/ x 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 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 y)) (cbrt y)) (/ (/ (cbrt x) (cbrt y)) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (cbrt x) (cbrt y)) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (cbrt x) (cbrt y)) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (cbrt x) (* (sqrt y) (cbrt y))) (* (/ (cbrt x) y) (cbrt x)) (/ (cbrt x) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (* (sqrt y) y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (* (sqrt y) y)) (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (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) (sqrt y)) y) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (cbrt y)) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ (/ (sqrt x) y) y) (/ 1 (* y (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (/ x (cbrt y)) y) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (/ x (* (sqrt y) (cbrt y))) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ x (* y (sqrt y))) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (/ x (cbrt y)) y) (/ 1 (sqrt y)) (/ x (* y (sqrt y))) 1 (/ (/ x y) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (/ x (cbrt y)) y) (/ 1 (sqrt y)) (/ x (* y (sqrt y))) 1 (/ (/ x y) y) (/ (/ x (cbrt y)) (cbrt y)) (/ 1 (* y (cbrt y))) (/ x (sqrt y)) (/ 1 (* (sqrt y) y)) x (/ 1 (* y y)) (/ 1 y) (/ (* y y) x) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (* y (sqrt y))) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ (cbrt y) (/ (cbrt x) y)) (/ (* (sqrt y) y) (cbrt x)) (/ y (/ (cbrt x) y)) (* (/ (cbrt y) (sqrt x)) y) (* (sqrt y) (/ y (sqrt x))) (/ (* y y) (sqrt x)) (/ y (/ x (cbrt y))) (/ (* (sqrt y) y) x) (/ (* y y) x) (/ (* y y) x) (* y y) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 4.559 * * * [progress]: adding candidates to table 4.848 * * [progress]: iteration 3 / 4 4.848 * * * [progress]: picking best candidate 4.881 * * * * [pick]: Picked # 4.881 * * * [progress]: localizing error 4.891 * * * [progress]: generating rewritten candidates 4.891 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.915 * * * [progress]: generating series expansions 4.915 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.915 * [backup-simplify]: Simplify (* (/ x y) (/ 1 y)) into (/ x (pow y 2)) 4.915 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 4.915 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.915 * [taylor]: Taking taylor expansion of x in y 4.915 * [backup-simplify]: Simplify x into x 4.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.915 * [taylor]: Taking taylor expansion of y in y 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [backup-simplify]: Simplify (* 1 1) into 1 4.916 * [backup-simplify]: Simplify (/ x 1) into x 4.916 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.916 * [taylor]: Taking taylor expansion of x in x 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.916 * [taylor]: Taking taylor expansion of y in x 4.916 * [backup-simplify]: Simplify y into y 4.916 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.916 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.916 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.916 * [taylor]: Taking taylor expansion of x in x 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.916 * [taylor]: Taking taylor expansion of y in x 4.916 * [backup-simplify]: Simplify y into y 4.916 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.916 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.916 * [taylor]: Taking taylor expansion of y in y 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (* 1 1) into 1 4.917 * [backup-simplify]: Simplify (/ 1 1) into 1 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.917 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.917 * [taylor]: Taking taylor expansion of 0 in y 4.917 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.919 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.919 * [taylor]: Taking taylor expansion of 0 in y 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.921 * [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 4.921 * [taylor]: Taking taylor expansion of 0 in y 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.922 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.923 * [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 4.923 * [taylor]: Taking taylor expansion of 0 in y 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 4.923 * [backup-simplify]: Simplify (* (/ (/ 1 x) (/ 1 y)) (/ 1 (/ 1 y))) into (/ (pow y 2) x) 4.923 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 4.924 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.924 * [taylor]: Taking taylor expansion of y in y 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [taylor]: Taking taylor expansion of x in y 4.924 * [backup-simplify]: Simplify x into x 4.924 * [backup-simplify]: Simplify (* 1 1) into 1 4.924 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.924 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.924 * [taylor]: Taking taylor expansion of y in x 4.924 * [backup-simplify]: Simplify y into y 4.924 * [taylor]: Taking taylor expansion of x in x 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.924 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.924 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.924 * [taylor]: Taking taylor expansion of y in x 4.924 * [backup-simplify]: Simplify y into y 4.924 * [taylor]: Taking taylor expansion of x in x 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.924 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.924 * [taylor]: Taking taylor expansion of y in y 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (* 1 1) into 1 4.925 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 4.925 * [taylor]: Taking taylor expansion of 0 in y 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.927 * [taylor]: Taking taylor expansion of 0 in y 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.930 * [taylor]: Taking taylor expansion of 0 in y 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 4.930 * [backup-simplify]: Simplify (* (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 4.930 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 4.930 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.930 * [taylor]: Taking taylor expansion of -1 in y 4.930 * [backup-simplify]: Simplify -1 into -1 4.930 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.930 * [taylor]: Taking taylor expansion of y in y 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [taylor]: Taking taylor expansion of x in y 4.930 * [backup-simplify]: Simplify x into x 4.930 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.930 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.930 * [taylor]: Taking taylor expansion of -1 in x 4.930 * [backup-simplify]: Simplify -1 into -1 4.930 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.930 * [taylor]: Taking taylor expansion of y in x 4.930 * [backup-simplify]: Simplify y into y 4.930 * [taylor]: Taking taylor expansion of x in x 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.931 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.931 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.931 * [taylor]: Taking taylor expansion of -1 in x 4.931 * [backup-simplify]: Simplify -1 into -1 4.931 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.931 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.931 * [taylor]: Taking taylor expansion of y in x 4.931 * [backup-simplify]: Simplify y into y 4.931 * [taylor]: Taking taylor expansion of x in x 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.931 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.931 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 4.931 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 4.931 * [taylor]: Taking taylor expansion of -1 in y 4.931 * [backup-simplify]: Simplify -1 into -1 4.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.931 * [taylor]: Taking taylor expansion of y in y 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (* 1 1) into 1 4.932 * [backup-simplify]: Simplify (* -1 1) into -1 4.932 * [backup-simplify]: Simplify -1 into -1 4.932 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 4.933 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 4.933 * [taylor]: Taking taylor expansion of 0 in y 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.934 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.935 * [taylor]: Taking taylor expansion of 0 in y 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.937 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.939 * [taylor]: Taking taylor expansion of 0 in y 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 4.939 * * * [progress]: simplifying candidates 4.940 * [simplify]: Simplifying: (expm1 (* (/ x y) (/ 1 y))) (log1p (* (/ x y) (/ 1 y))) (* (/ 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)) 4.941 * * [simplify]: iteration 0: 112 enodes 4.978 * * [simplify]: iteration 1: 330 enodes 5.077 * * [simplify]: iteration 2: 1056 enodes 6.049 * * [simplify]: iteration 3: 3180 enodes 6.803 * * [simplify]: iteration complete: 5575 enodes 6.804 * * [simplify]: Extracting #0: cost 31 inf + 0 6.805 * * [simplify]: Extracting #1: cost 397 inf + 1 6.814 * * [simplify]: Extracting #2: cost 2010 inf + 7669 6.862 * * [simplify]: Extracting #3: cost 973 inf + 148902 6.921 * * [simplify]: Extracting #4: cost 116 inf + 271560 6.990 * * [simplify]: Extracting #5: cost 1 inf + 298812 7.043 * * [simplify]: Extracting #6: cost 0 inf + 298975 7.114 * [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)) (* (* (/ (/ 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)) (* (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) (* (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 x) (/ (sqrt y) (sqrt (/ 1 y)))) (/ (sqrt x) (/ (sqrt y) (sqrt (/ 1 y)))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (* (/ 1 y) (* x (* (cbrt (/ 1 y)) (cbrt (/ 1 y))))) (* (/ x y) (sqrt (/ 1 y))) (/ x (* (* (cbrt y) (cbrt y)) y)) (/ (/ x (sqrt y)) y) (/ x y) (/ x (* (* (cbrt y) (cbrt y)) y)) (/ (/ x (sqrt y)) y) (/ x y) (/ x (* (* (cbrt y) (cbrt y)) y)) (/ (/ x (sqrt y)) y) (/ x y) (/ x y) (/ x y) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) y) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (cbrt x) y) y) (/ (sqrt x) (* (cbrt y) y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) y) y) (/ x (* y (cbrt y))) (/ (/ x (sqrt y)) y) (/ (/ x y) y) (/ (/ x y) y) (* (/ 1 y) (/ 1 y)) (/ x y) (/ x y) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 7.116 * * * [progress]: adding candidates to table 7.284 * * [progress]: iteration 4 / 4 7.284 * * * [progress]: picking best candidate 7.307 * * * * [pick]: Picked # 7.307 * * * [progress]: localizing error 7.317 * * * [progress]: generating rewritten candidates 7.317 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.333 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 7.365 * * * [progress]: generating series expansions 7.365 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.365 * [backup-simplify]: Simplify (/ 1 (/ y (/ x y))) into (/ x (pow y 2)) 7.365 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 7.365 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 7.365 * [taylor]: Taking taylor expansion of x in x 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 1 into 1 7.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.366 * [taylor]: Taking taylor expansion of y in x 7.366 * [backup-simplify]: Simplify y into y 7.366 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.366 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.366 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 7.366 * [taylor]: Taking taylor expansion of x in y 7.366 * [backup-simplify]: Simplify x into x 7.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.366 * [taylor]: Taking taylor expansion of y in y 7.366 * [backup-simplify]: Simplify 0 into 0 7.366 * [backup-simplify]: Simplify 1 into 1 7.366 * [backup-simplify]: Simplify (* 1 1) into 1 7.367 * [backup-simplify]: Simplify (/ x 1) into x 7.367 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 7.367 * [taylor]: Taking taylor expansion of x in y 7.367 * [backup-simplify]: Simplify x into x 7.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.367 * [taylor]: Taking taylor expansion of y in y 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [backup-simplify]: Simplify (* 1 1) into 1 7.367 * [backup-simplify]: Simplify (/ x 1) into x 7.367 * [taylor]: Taking taylor expansion of x in x 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [backup-simplify]: Simplify 1 into 1 7.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.369 * [taylor]: Taking taylor expansion of 0 in x 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.371 * [taylor]: Taking taylor expansion of 0 in x 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.379 * [taylor]: Taking taylor expansion of 0 in x 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 7.380 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 7.380 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 7.380 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 7.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.380 * [taylor]: Taking taylor expansion of y in x 7.380 * [backup-simplify]: Simplify y into y 7.380 * [taylor]: Taking taylor expansion of x in x 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 1 into 1 7.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.381 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 7.381 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 7.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.381 * [taylor]: Taking taylor expansion of y in y 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 1 into 1 7.381 * [taylor]: Taking taylor expansion of x in y 7.381 * [backup-simplify]: Simplify x into x 7.381 * [backup-simplify]: Simplify (* 1 1) into 1 7.381 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.381 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 7.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.381 * [taylor]: Taking taylor expansion of y in y 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 1 into 1 7.381 * [taylor]: Taking taylor expansion of x in y 7.381 * [backup-simplify]: Simplify x into x 7.382 * [backup-simplify]: Simplify (* 1 1) into 1 7.382 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.382 * [taylor]: Taking taylor expansion of x in x 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify 1 into 1 7.382 * [backup-simplify]: Simplify (/ 1 1) into 1 7.382 * [backup-simplify]: Simplify 1 into 1 7.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.383 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.383 * [taylor]: Taking taylor expansion of 0 in x 7.383 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.385 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.385 * [taylor]: Taking taylor expansion of 0 in x 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.385 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.387 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.387 * [taylor]: Taking taylor expansion of 0 in x 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 7.388 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 7.388 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 7.388 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 7.388 * [taylor]: Taking taylor expansion of -1 in x 7.388 * [backup-simplify]: Simplify -1 into -1 7.388 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 7.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.388 * [taylor]: Taking taylor expansion of y in x 7.388 * [backup-simplify]: Simplify y into y 7.388 * [taylor]: Taking taylor expansion of x in x 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify 1 into 1 7.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.389 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 7.389 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 7.389 * [taylor]: Taking taylor expansion of -1 in y 7.389 * [backup-simplify]: Simplify -1 into -1 7.389 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 7.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.389 * [taylor]: Taking taylor expansion of y in y 7.389 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify 1 into 1 7.389 * [taylor]: Taking taylor expansion of x in y 7.389 * [backup-simplify]: Simplify x into x 7.389 * [backup-simplify]: Simplify (* 1 1) into 1 7.389 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.389 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 7.389 * [taylor]: Taking taylor expansion of -1 in y 7.389 * [backup-simplify]: Simplify -1 into -1 7.389 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 7.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.389 * [taylor]: Taking taylor expansion of y in y 7.389 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify 1 into 1 7.389 * [taylor]: Taking taylor expansion of x in y 7.389 * [backup-simplify]: Simplify x into x 7.390 * [backup-simplify]: Simplify (* 1 1) into 1 7.390 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.390 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 7.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.390 * [taylor]: Taking taylor expansion of -1 in x 7.390 * [backup-simplify]: Simplify -1 into -1 7.390 * [taylor]: Taking taylor expansion of x in x 7.390 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (/ -1 1) into -1 7.391 * [backup-simplify]: Simplify -1 into -1 7.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.391 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.392 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 7.392 * [taylor]: Taking taylor expansion of 0 in x 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.392 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.393 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.393 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.393 * [taylor]: Taking taylor expansion of 0 in x 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.394 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.396 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.396 * [taylor]: Taking taylor expansion of 0 in x 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 7.397 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 7.397 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 7.397 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 7.397 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 7.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.397 * [taylor]: Taking taylor expansion of y in x 7.397 * [backup-simplify]: Simplify y into y 7.397 * [taylor]: Taking taylor expansion of x in x 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.397 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 7.397 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 7.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.397 * [taylor]: Taking taylor expansion of y in y 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [taylor]: Taking taylor expansion of x in y 7.397 * [backup-simplify]: Simplify x into x 7.397 * [backup-simplify]: Simplify (* 1 1) into 1 7.397 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.397 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 7.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.397 * [taylor]: Taking taylor expansion of y in y 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [taylor]: Taking taylor expansion of x in y 7.397 * [backup-simplify]: Simplify x into x 7.398 * [backup-simplify]: Simplify (* 1 1) into 1 7.398 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.398 * [taylor]: Taking taylor expansion of x in x 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [backup-simplify]: Simplify (/ 1 1) into 1 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.399 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.399 * [taylor]: Taking taylor expansion of 0 in x 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.399 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.400 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.400 * [taylor]: Taking taylor expansion of 0 in x 7.400 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.401 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.401 * [taylor]: Taking taylor expansion of 0 in x 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 7.402 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 7.402 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 7.402 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 7.402 * [taylor]: Taking taylor expansion of x in x 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify 1 into 1 7.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.402 * [taylor]: Taking taylor expansion of y in x 7.402 * [backup-simplify]: Simplify y into y 7.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.402 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.402 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 7.402 * [taylor]: Taking taylor expansion of x in y 7.402 * [backup-simplify]: Simplify x into x 7.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.402 * [taylor]: Taking taylor expansion of y in y 7.402 * [backup-simplify]: Simplify 0 into 0 7.403 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify (* 1 1) into 1 7.403 * [backup-simplify]: Simplify (/ x 1) into x 7.403 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 7.403 * [taylor]: Taking taylor expansion of x in y 7.403 * [backup-simplify]: Simplify x into x 7.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.403 * [taylor]: Taking taylor expansion of y in y 7.403 * [backup-simplify]: Simplify 0 into 0 7.403 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify (* 1 1) into 1 7.403 * [backup-simplify]: Simplify (/ x 1) into x 7.403 * [taylor]: Taking taylor expansion of x in x 7.403 * [backup-simplify]: Simplify 0 into 0 7.403 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify 1 into 1 7.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.404 * [taylor]: Taking taylor expansion of 0 in x 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.406 * [taylor]: Taking taylor expansion of 0 in x 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.408 * [taylor]: Taking taylor expansion of 0 in x 7.408 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 7.408 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 7.408 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 7.408 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 7.408 * [taylor]: Taking taylor expansion of -1 in x 7.408 * [backup-simplify]: Simplify -1 into -1 7.408 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 7.408 * [taylor]: Taking taylor expansion of x in x 7.408 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify 1 into 1 7.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.408 * [taylor]: Taking taylor expansion of y in x 7.408 * [backup-simplify]: Simplify y into y 7.408 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.408 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.408 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 7.408 * [taylor]: Taking taylor expansion of -1 in y 7.408 * [backup-simplify]: Simplify -1 into -1 7.408 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 7.408 * [taylor]: Taking taylor expansion of x in y 7.408 * [backup-simplify]: Simplify x into x 7.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.408 * [taylor]: Taking taylor expansion of y in y 7.408 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify 1 into 1 7.409 * [backup-simplify]: Simplify (* 1 1) into 1 7.409 * [backup-simplify]: Simplify (/ x 1) into x 7.409 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 7.409 * [taylor]: Taking taylor expansion of -1 in y 7.409 * [backup-simplify]: Simplify -1 into -1 7.409 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 7.409 * [taylor]: Taking taylor expansion of x in y 7.409 * [backup-simplify]: Simplify x into x 7.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.409 * [taylor]: Taking taylor expansion of y in y 7.409 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify 1 into 1 7.409 * [backup-simplify]: Simplify (* 1 1) into 1 7.409 * [backup-simplify]: Simplify (/ x 1) into x 7.409 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 7.409 * [taylor]: Taking taylor expansion of (* -1 x) in x 7.409 * [taylor]: Taking taylor expansion of -1 in x 7.409 * [backup-simplify]: Simplify -1 into -1 7.409 * [taylor]: Taking taylor expansion of x in x 7.409 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify 1 into 1 7.410 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 7.410 * [backup-simplify]: Simplify -1 into -1 7.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 7.411 * [taylor]: Taking taylor expansion of 0 in x 7.411 * [backup-simplify]: Simplify 0 into 0 7.411 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.413 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 7.413 * [taylor]: Taking taylor expansion of 0 in x 7.413 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.414 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.417 * [taylor]: Taking taylor expansion of 0 in x 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 7.417 * * * [progress]: simplifying candidates 7.421 * [simplify]: Simplifying: (expm1 (/ 1 (/ y (/ x y)))) (log1p (/ 1 (/ y (/ x y)))) (- 1) (- (- (log y) (- (log x) (log y)))) (- (- (log y) (log (/ x y)))) (- (log (/ 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)))) (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 1) 1) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ 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) (- (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt 1) (cbrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (/ x y)))) (/ (cbrt 1) (sqrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (cbrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt 1) (/ (cbrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (sqrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (/ x y)))) (/ (cbrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 1))) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1)) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) x)) (/ (cbrt 1) (/ (sqrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ y (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (/ x y)))) (/ (cbrt 1) (/ y (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ y (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 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(/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ y (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ 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) 1)) (/ y (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ y (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ y (/ x y)) (/ 1 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 x)) (* (cbrt y) (cbrt y)))) (/ y (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ y (/ (* (cbrt x) (cbrt x)) 1)) (/ y (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) 1)) (/ y (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ 1 (sqrt y))) (/ y (/ 1 1)) (/ y 1) (/ y x) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ y x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 7.426 * * [simplify]: iteration 0: 421 enodes 7.670 * * [simplify]: iteration 1: 1126 enodes 8.209 * * [simplify]: iteration 2: 3112 enodes 8.995 * * [simplify]: iteration complete: 5000 enodes 8.996 * * [simplify]: Extracting #0: cost 170 inf + 0 9.006 * * [simplify]: Extracting #1: cost 1486 inf + 210 9.020 * * [simplify]: Extracting #2: cost 1110 inf + 79845 9.082 * * [simplify]: Extracting #3: cost 232 inf + 241166 9.180 * * [simplify]: Extracting #4: cost 4 inf + 277504 9.255 * * [simplify]: Extracting #5: cost 0 inf + 277412 9.316 * * [simplify]: Extracting #6: cost 0 inf + 277132 9.411 * [simplify]: Simplified to: (expm1 (/ (* (/ 1 y) x) y)) (log1p (/ (* (/ 1 y) x) y)) -1 (- (log (/ (* y y) x))) (- (log (/ (* y y) x))) (- (log (/ (* y y) x))) (- (log (/ (* y y) x))) (- (log (/ (* y y) x))) (- (log (/ (* y y) x))) (- (log (/ 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y)) (sqrt x) (/ (* (/ 1 y) (sqrt x)) y) (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (/ (* 1 (/ x (cbrt y))) y) (/ 1 (sqrt y)) (/ (* (/ 1 y) x) (sqrt y)) 1 (/ (* (/ 1 y) x) y) 1 (/ (* (/ 1 y) x) y) x (/ 1 (* y y)) 1 (/ (* (/ 1 y) x) y) (/ 1 y) (/ x y) (/ (* 1 x) y) (/ 1 y) (/ (/ 1 (cbrt (/ (* y y) x))) (cbrt (/ (* y y) x))) (/ 1 (cbrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (* (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ 1 (/ (cbrt y) (cbrt (/ x y))))) (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (* (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (sqrt (/ x y))) (/ (sqrt (/ x y)) (cbrt y)) (* (/ (* 1 (/ (cbrt x) (cbrt y))) (cbrt y)) (/ (* 1 (/ (cbrt x) (cbrt y))) (cbrt y))) (/ (* 1 (/ (cbrt x) (cbrt y))) (cbrt y)) (/ (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (sqrt y)) (/ (* 1 (/ (cbrt x) (sqrt y))) (cbrt y)) (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (/ (cbrt x) y) (/ 1 (cbrt 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) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (* (/ (sqrt x) y) (/ 1 (cbrt y))) (* (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (* (/ 1 (cbrt y)) (/ 1 (cbrt y)))) (/ (* (/ 1 (cbrt y)) x) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (* (/ x (sqrt y)) (/ 1 (cbrt y))) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (* (/ 1 (cbrt y)) x) (cbrt y)) (/ (/ 1 (cbrt y)) y) (* (/ 1 (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (* 1 (cbrt (/ x y))) (sqrt y)) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (/ 1 (sqrt y))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ 1 (/ y (cbrt x))) (* (* (/ 1 (sqrt y)) (cbrt x)) (cbrt x)) (* (/ 1 (sqrt y)) (/ (cbrt x) y)) (/ (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (sqrt y)) (* (/ (sqrt x) (cbrt y)) (/ 1 (sqrt y))) (/ 1 (/ y (sqrt x))) (/ 1 (/ y (sqrt x))) (* (/ 1 (sqrt y)) (sqrt x)) (/ (/ (sqrt x) y) (sqrt y)) (/ (* 1 (* (/ 1 (cbrt y)) (/ 1 (cbrt y)))) (sqrt y)) (* (/ x (cbrt y)) (/ 1 (sqrt y))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (/ y x)) (/ 1 (sqrt y)) (* (/ x y) (/ 1 (sqrt y))) (/ 1 (sqrt y)) (* (/ x y) (/ 1 (sqrt y))) (* (/ 1 (sqrt y)) x) (/ 1 (* (sqrt y) y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (* 1 (cbrt (/ x y))) y) (sqrt (/ x y)) (* (/ 1 y) (sqrt (/ x y))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ 1 (/ y (cbrt x))) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* 1 (/ (cbrt x) (sqrt y))) y) (* (cbrt x) (cbrt x)) (/ (* (/ 1 y) (cbrt x)) y) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (* (/ 1 y) (/ (sqrt x) (cbrt y))) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (sqrt x) (/ (* (/ 1 y) (sqrt x)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (* 1 (/ x (cbrt y))) y) (/ 1 (sqrt y)) (/ (* (/ 1 y) x) (sqrt y)) 1 (/ (* (/ 1 y) x) y) 1 (/ (* (/ 1 y) x) y) x (/ 1 (* y y)) 1 (/ (* (/ 1 y) x) y) (/ 1 y) (/ x y) (/ (* 1 x) y) (/ 1 y) (/ (/ 1 (cbrt (/ (* y y) x))) (cbrt (/ (* y y) x))) (/ 1 (cbrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (* (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ 1 (/ (cbrt y) (cbrt (/ x y))))) (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (* (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (sqrt (/ x y))) (/ (sqrt (/ x y)) (cbrt y)) (* (/ (* 1 (/ (cbrt x) (cbrt y))) (cbrt y)) (/ (* 1 (/ (cbrt x) (cbrt y))) (cbrt y))) (/ (* 1 (/ (cbrt x) (cbrt y))) (cbrt y)) (/ (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (sqrt y)) (/ (* 1 (/ (cbrt x) (sqrt y))) (cbrt y)) (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (/ (cbrt x) y) (/ 1 (cbrt 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) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (* (/ (sqrt x) y) (/ 1 (cbrt y))) (* (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (* (/ 1 (cbrt y)) (/ 1 (cbrt y)))) (/ (* (/ 1 (cbrt y)) x) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (* (/ x (sqrt y)) (/ 1 (cbrt y))) (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (/ (/ x y) (cbrt y)) (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (/ (/ x y) (cbrt y)) (/ (* (/ 1 (cbrt y)) x) (cbrt y)) (/ (/ 1 (cbrt y)) y) (* (/ 1 (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (* 1 (cbrt (/ x y))) (sqrt y)) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (/ 1 (sqrt y))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ 1 (/ y (cbrt x))) (* (* (/ 1 (sqrt y)) (cbrt x)) (cbrt x)) (* (/ 1 (sqrt y)) (/ (cbrt x) y)) (/ (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (sqrt y)) (* (/ (sqrt x) (cbrt y)) (/ 1 (sqrt y))) (/ 1 (/ y (sqrt x))) (/ 1 (/ y (sqrt x))) (* (/ 1 (sqrt y)) (sqrt x)) (/ (/ (sqrt x) y) (sqrt y)) (/ (* 1 (* (/ 1 (cbrt y)) (/ 1 (cbrt y)))) (sqrt y)) (* (/ x (cbrt y)) (/ 1 (sqrt y))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (/ y x)) (/ 1 (sqrt y)) (* (/ x y) (/ 1 (sqrt y))) (/ 1 (sqrt y)) (* (/ x y) (/ 1 (sqrt y))) (* (/ 1 (sqrt y)) x) (/ 1 (* (sqrt y) y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (* 1 (cbrt (/ x y))) y) (sqrt (/ x y)) (* (/ 1 y) (sqrt (/ x y))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ 1 (/ y (cbrt x))) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* 1 (/ (cbrt x) (sqrt y))) y) (* (cbrt x) (cbrt x)) (/ (* (/ 1 y) (cbrt x)) y) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (* (/ 1 y) (/ (sqrt x) (cbrt y))) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (sqrt x) (/ (* (/ 1 y) (sqrt x)) y) (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (/ (* 1 (/ x (cbrt y))) y) (/ 1 (sqrt y)) (/ (* (/ 1 y) x) (sqrt y)) 1 (/ (* (/ 1 y) x) y) 1 (/ (* (/ 1 y) x) y) x (/ 1 (* y y)) 1 (/ (* (/ 1 y) x) y) (/ 1 y) (/ x y) (/ (* 1 x) y) (/ 1 y) (/ (* (/ 1 y) x) y) (/ (* y y) x) (/ (/ 1 (cbrt (/ (* y y) x))) (cbrt (/ (* y y) x))) (/ 1 (sqrt (/ (* y y) x))) (* (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ 1 (/ (cbrt y) (cbrt (/ x y))))) (* (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (sqrt (/ x y))) (* (/ (* 1 (/ (cbrt x) (cbrt y))) (cbrt y)) (/ (* 1 (/ (cbrt x) (cbrt y))) (cbrt y))) (/ (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (sqrt y)) (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (/ (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y))) (/ (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (* (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (* (/ 1 (cbrt y)) (/ 1 (cbrt y)))) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (/ (* (/ 1 (cbrt y)) x) (cbrt y)) (* (/ 1 (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (* (* (/ 1 (sqrt y)) (cbrt x)) (cbrt x)) (/ (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (sqrt y)) (/ 1 (/ y (sqrt x))) (* (/ 1 (sqrt y)) (sqrt x)) (/ (* 1 (* (/ 1 (cbrt y)) (/ 1 (cbrt y)))) (sqrt y)) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (sqrt y)) (/ 1 (sqrt y)) (* (/ 1 (sqrt y)) x) (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt (/ x y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt x) (cbrt x)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (sqrt y)) (sqrt x) (* (/ 1 (cbrt y)) (/ 1 (cbrt y))) (/ 1 (sqrt y)) 1 1 x 1 (/ 1 y) (/ (* 1 x) y) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ 1 y) (expm1 (/ (* y y) x)) (log1p (/ (* y y) x)) (log (/ (* y y) x)) (log (/ (* y y) x)) (log (/ (* y y) x)) (exp (/ (* y y) x)) (* (* (/ (* y y) x) (/ (* y y) x)) (/ (* y y) x)) (* (* (/ (* y y) x) (/ (* y y) x)) (/ (* y 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)) (- y) (/ (- x) y) (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x y)))) (/ (cbrt y) (cbrt (/ x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y))) (/ (cbrt y) (sqrt (/ x y))) (* (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (/ (cbrt y) (cbrt x)) (cbrt y))) (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (sqrt y) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (/ (* (cbrt y) (sqrt y)) (cbrt x)) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (/ (cbrt y) (/ (cbrt x) y)) (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x)) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (* (sqrt y) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt y) (sqrt y)) (sqrt x)) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (/ (* (cbrt y) y) (sqrt x)) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (/ (* (cbrt y) (cbrt y)) x) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y))) (* (sqrt y) (/ (cbrt y) x)) (* (cbrt y) (cbrt y)) (/ (* (cbrt y) y) x) (* (cbrt y) (cbrt y)) (/ (* (cbrt y) y) x) (/ (* (cbrt y) (cbrt y)) x) (* y (cbrt 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) (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ y (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (sqrt y) (/ (cbrt x) y)) (* (* (cbrt y) (cbrt y)) (/ (sqrt y) (sqrt x))) (/ (* (sqrt y) (cbrt y)) (sqrt x)) (/ y (sqrt x)) (/ y (sqrt x)) (/ (sqrt y) (sqrt x)) (/ (* (sqrt y) y) (sqrt x)) (* (/ (sqrt y) 1) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) x) (cbrt y)) (* (/ (sqrt y) 1) (sqrt y)) (/ y x) (sqrt y) (/ (sqrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (* (sqrt y) y) (* (/ 1 (cbrt (/ x y))) (/ 1 (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)) (/ 1 (cbrt x))) (sqrt y)) (/ (* y (sqrt y)) (cbrt x)) (* (/ 1 (cbrt x)) (/ 1 (cbrt x))) (/ (* y y) (cbrt x)) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (* (cbrt y) (/ y (sqrt x))) (* (/ 1 (sqrt x)) (sqrt y)) (/ (* (sqrt y) y) (sqrt x)) (/ 1 (sqrt x)) (/ (* y y) (sqrt x)) (* (cbrt y) (cbrt y)) (/ (* y (cbrt y)) x) (sqrt y) (/ y (/ x (sqrt y))) 1 (/ (* y y) x) 1 (/ (* y y) x) (/ 1 x) (* y 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)))) (/ (* (sqrt y) y) (* (cbrt x) (cbrt x))) (/ (/ y (cbrt x)) (cbrt x)) (/ y (/ (/ (sqrt x) (cbrt y)) (cbrt y))) (/ (* (sqrt y) y) (sqrt x)) (/ y (sqrt x)) (* (/ y 1) (* (cbrt y) (cbrt y))) (* (sqrt y) y) y y (/ y x) (/ x (* y (cbrt y))) (/ (/ x y) (sqrt y)) (/ x (* y y)) (/ y x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) 9.435 * * * [progress]: adding candidates to table 10.607 * [progress]: [Phase 3 of 3] Extracting. 10.607 * * [regime]: Finding splitpoints for: (# # # # # # #) 10.608 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 10.608 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 10.683 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # # #) 10.738 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 10.830 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 10.919 * * * [regime]: Found split indices: #