13.440 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (/ x (* y y)) 0.017 * * [simplify]: iteration 0: 4 enodes 0.017 * * [simplify]: iteration 1: 6 enodes 0.018 * * [simplify]: iteration complete: 6 enodes 0.018 * * [simplify]: Extracting #0: cost 1 inf + 0 0.018 * * [simplify]: Extracting #1: cost 5 inf + 0 0.018 * * [simplify]: Extracting #2: cost 2 inf + 5 0.018 * * [simplify]: Extracting #3: cost 0 inf + 13 0.018 * [simplify]: Simplified to: (/ x (* y y)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.034 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [backup-simplify]: Simplify x into x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.034 * [backup-simplify]: Simplify (* 1 1) into 1 0.035 * [backup-simplify]: Simplify (/ x 1) into x 0.035 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [backup-simplify]: Simplify y into y 0.035 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.035 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.035 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [backup-simplify]: Simplify y into y 0.035 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.035 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [backup-simplify]: Simplify (* 1 1) into 1 0.036 * [backup-simplify]: Simplify (/ 1 1) into 1 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.036 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.037 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.039 * [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 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.042 * [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 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.042 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.042 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 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 * [taylor]: Taking taylor expansion of x in y 0.043 * [backup-simplify]: Simplify x into x 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.043 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 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 * [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 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.043 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.043 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 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 * [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 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.043 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 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 into 1 0.044 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) 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 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 0 into 0 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 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.049 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.049 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.049 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [backup-simplify]: Simplify -1 into -1 0.049 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 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 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [backup-simplify]: Simplify -1 into -1 0.050 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 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 * [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 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.050 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [backup-simplify]: Simplify -1 into -1 0.050 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 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 * [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 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.050 * [backup-simplify]: Simplify (/ (pow y 2) 1) 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 (* -1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.050 * [backup-simplify]: Simplify -1 into -1 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [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 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.053 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [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 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.059 * * * [progress]: simplifying candidates 0.059 * [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)) 0.059 * * [simplify]: iteration 0: 45 enodes 0.067 * * [simplify]: iteration 1: 112 enodes 0.110 * * [simplify]: iteration 2: 616 enodes 0.330 * * [simplify]: iteration complete: 5001 enodes 0.330 * * [simplify]: Extracting #0: cost 20 inf + 0 0.331 * * [simplify]: Extracting #1: cost 750 inf + 0 0.336 * * [simplify]: Extracting #2: cost 2084 inf + 150 0.344 * * [simplify]: Extracting #3: cost 765 inf + 8301 0.352 * * [simplify]: Extracting #4: cost 10 inf + 13442 0.362 * * [simplify]: Extracting #5: cost 0 inf + 13388 0.373 * * [simplify]: Extracting #6: cost 0 inf + 13382 0.380 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- x) (* y (- y)) (/ (cbrt x) (/ y (cbrt x))) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (* (/ y (cbrt x)) y) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.380 * * * [progress]: adding candidates to table 0.456 * * [progress]: iteration 2 / 4 0.456 * * * [progress]: picking best candidate 0.485 * * * * [pick]: Picked # 0.485 * * * [progress]: localizing error 0.494 * * * [progress]: generating rewritten candidates 0.494 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.516 * * * [progress]: generating series expansions 0.516 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.517 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 0.517 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.517 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [backup-simplify]: Simplify x into x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ x 1) into x 0.517 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [backup-simplify]: Simplify y into y 0.518 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.518 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [backup-simplify]: Simplify y into y 0.518 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.525 * [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 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.529 * [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 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.529 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 0.529 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.529 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [taylor]: Taking taylor expansion of x in y 0.529 * [backup-simplify]: Simplify x into x 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.530 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [backup-simplify]: Simplify y into y 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.530 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.530 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [backup-simplify]: Simplify y into y 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.530 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.538 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 0.538 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.538 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.538 * [taylor]: Taking taylor expansion of -1 in y 0.538 * [backup-simplify]: Simplify -1 into -1 0.538 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [backup-simplify]: Simplify x into x 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.539 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.539 * [taylor]: Taking taylor expansion of -1 in x 0.539 * [backup-simplify]: Simplify -1 into -1 0.539 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [backup-simplify]: Simplify y into y 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.539 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.539 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.539 * [taylor]: Taking taylor expansion of -1 in x 0.539 * [backup-simplify]: Simplify -1 into -1 0.539 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [backup-simplify]: Simplify y into y 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.539 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.539 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.539 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of -1 in y 0.540 * [backup-simplify]: Simplify -1 into -1 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify (* -1 1) into -1 0.540 * [backup-simplify]: Simplify -1 into -1 0.540 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.547 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.551 * * * [progress]: simplifying candidates 0.552 * [simplify]: Simplifying: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (- (- (log x) (log y)) (log y)) (- (log (/ x y)) (log y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (/ (* (* (/ x y) (/ x y)) (/ x y)) (* (* y y) y)) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) 1) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ x y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 1) (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ x 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ (/ x y) 1) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.554 * * [simplify]: iteration 0: 142 enodes 0.597 * * [simplify]: iteration 1: 343 enodes 0.769 * * [simplify]: iteration 2: 1637 enodes 1.341 * * [simplify]: iteration complete: 5000 enodes 1.341 * * [simplify]: Extracting #0: cost 84 inf + 0 1.347 * * [simplify]: Extracting #1: cost 816 inf + 2 1.351 * * [simplify]: Extracting #2: cost 1850 inf + 1134 1.360 * * [simplify]: Extracting #3: cost 617 inf + 9379 1.369 * * [simplify]: Extracting #4: cost 0 inf + 13023 1.378 * * [simplify]: Extracting #5: cost 0 inf + 12997 1.386 * * [simplify]: Extracting #6: cost 0 inf + 12987 1.393 * [simplify]: Simplified to: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (pow (/ x y) 3) (pow y 3)) (/ (pow (/ x y) 3) (pow y 3)) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (* y y)) 3) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (/ (- x) y) (- y) (* (/ (cbrt (/ x y)) (* (cbrt y) (cbrt y))) (cbrt (/ x y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (cbrt (/ x y)) (/ (sqrt y) (cbrt (/ x y)))) (/ (cbrt (/ x y)) (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (pow (cbrt y) 3))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (cbrt x) (* (* (cbrt y) (cbrt y)) (/ (sqrt y) (cbrt x)))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (cbrt x) (* (* (cbrt y) (cbrt y)) (/ (sqrt y) (cbrt x)))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (/ (cbrt x) y) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (cbrt x) (* y (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (* y y)) (/ (sqrt x) (* (cbrt y) (pow (cbrt y) 3))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (* (cbrt y) (sqrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) y)) (/ (sqrt x) (* (sqrt y) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (* (cbrt y) (sqrt y))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* y (sqrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) y)) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* y (sqrt y))) (sqrt x) (/ (sqrt x) (* y y)) (/ 1 (* (cbrt y) (pow (cbrt y) 3))) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (cbrt y)) (* (sqrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ x (* y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ x (* y y)) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (cbrt y)) y) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) x (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x (* (cbrt y) (cbrt y))) y) (/ x (* (sqrt y) y)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (* (/ y (cbrt x)) (cbrt y)) (* (sqrt y) (/ y (cbrt x))) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) (cbrt y)) (* (/ y (sqrt x)) (sqrt y)) (/ y (/ (sqrt x) y)) (* (cbrt y) (/ y x)) (* (/ y x) (sqrt y)) (/ y (/ x y)) (/ y (/ x y)) (* y y) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 1.393 * * * [progress]: adding candidates to table 1.643 * * [progress]: iteration 3 / 4 1.643 * * * [progress]: picking best candidate 1.660 * * * * [pick]: Picked # 1.660 * * * [progress]: localizing error 1.666 * * * [progress]: generating rewritten candidates 1.666 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.689 * * * [progress]: generating series expansions 1.689 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.689 * [backup-simplify]: Simplify (* (/ x y) (/ 1 y)) into (/ x (pow y 2)) 1.689 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 1.689 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.689 * [taylor]: Taking taylor expansion of x in y 1.689 * [backup-simplify]: Simplify x into x 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.690 * [taylor]: Taking taylor expansion of y in y 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (/ x 1) into x 1.690 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.690 * [backup-simplify]: Simplify y into y 1.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.690 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.690 * [backup-simplify]: Simplify y into y 1.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.691 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (* 1 1) into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.692 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.693 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.693 * [taylor]: Taking taylor expansion of 0 in y 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.695 * [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 1.695 * [taylor]: Taking taylor expansion of 0 in y 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.697 * [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 1.697 * [taylor]: Taking taylor expansion of 0 in y 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 1.698 * [backup-simplify]: Simplify (* (/ (/ 1 x) (/ 1 y)) (/ 1 (/ 1 y))) into (/ (pow y 2) x) 1.698 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 1.698 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.698 * [taylor]: Taking taylor expansion of y in y 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of x in y 1.698 * [backup-simplify]: Simplify x into x 1.698 * [backup-simplify]: Simplify (* 1 1) into 1 1.698 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.698 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.698 * [taylor]: Taking taylor expansion of y in x 1.698 * [backup-simplify]: Simplify y into y 1.698 * [taylor]: Taking taylor expansion of x in x 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.698 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.698 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.698 * [taylor]: Taking taylor expansion of y in x 1.698 * [backup-simplify]: Simplify y into y 1.698 * [taylor]: Taking taylor expansion of x in x 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.699 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.699 * [taylor]: Taking taylor expansion of y in y 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (* 1 1) into 1 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 1.700 * [taylor]: Taking taylor expansion of 0 in y 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.702 * [taylor]: Taking taylor expansion of 0 in y 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.704 * [taylor]: Taking taylor expansion of 0 in y 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 1.704 * [backup-simplify]: Simplify (* (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 1.704 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 1.704 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 1.704 * [taylor]: Taking taylor expansion of -1 in y 1.704 * [backup-simplify]: Simplify -1 into -1 1.704 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.704 * [taylor]: Taking taylor expansion of y in y 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [taylor]: Taking taylor expansion of x in y 1.704 * [backup-simplify]: Simplify x into x 1.705 * [backup-simplify]: Simplify (* 1 1) into 1 1.705 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.705 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.705 * [taylor]: Taking taylor expansion of -1 in x 1.705 * [backup-simplify]: Simplify -1 into -1 1.705 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.705 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.705 * [taylor]: Taking taylor expansion of y in x 1.705 * [backup-simplify]: Simplify y into y 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.705 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.705 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.705 * [taylor]: Taking taylor expansion of -1 in x 1.705 * [backup-simplify]: Simplify -1 into -1 1.705 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.705 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.705 * [taylor]: Taking taylor expansion of y in x 1.705 * [backup-simplify]: Simplify y into y 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.705 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.705 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 1.705 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 1.705 * [taylor]: Taking taylor expansion of -1 in y 1.705 * [backup-simplify]: Simplify -1 into -1 1.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.705 * [taylor]: Taking taylor expansion of y in y 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* 1 1) into 1 1.706 * [backup-simplify]: Simplify (* -1 1) into -1 1.706 * [backup-simplify]: Simplify -1 into -1 1.706 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 1.707 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 1.707 * [taylor]: Taking taylor expansion of 0 in y 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.708 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.710 * [taylor]: Taking taylor expansion of 0 in y 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.711 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.713 * [taylor]: Taking taylor expansion of 0 in y 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 1.713 * * * [progress]: simplifying candidates 1.714 * [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)) 1.715 * * [simplify]: iteration 0: 112 enodes 1.741 * * [simplify]: iteration 1: 343 enodes 1.916 * * [simplify]: iteration 2: 1940 enodes 2.827 * * [simplify]: iteration complete: 5001 enodes 2.827 * * [simplify]: Extracting #0: cost 33 inf + 0 2.828 * * [simplify]: Extracting #1: cost 643 inf + 1 2.832 * * [simplify]: Extracting #2: cost 1662 inf + 844 2.837 * * [simplify]: Extracting #3: cost 566 inf + 8165 2.842 * * [simplify]: Extracting #4: cost 32 inf + 11744 2.847 * * [simplify]: Extracting #5: cost 0 inf + 11899 2.852 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (/ (/ x y) y) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (pow (/ x y) 3) (pow y 3)) (* (pow (/ x y) 3) (pow (/ 1 y) 3)) (/ (pow (/ x y) 3) (pow y 3)) (* (pow (/ x y) 3) (pow (/ 1 y) 3)) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) x (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (/ (sqrt (/ x 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 y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (sqrt (/ 1 y)) (/ x y)) (/ (/ (/ x y) (cbrt y)) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ (/ x y) (cbrt y)) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ (/ x y) (cbrt y)) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x y) (/ x y) (/ x y) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) y) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) y) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ (/ 1 y) y) (/ x y) (/ x y) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 2.853 * * * [progress]: adding candidates to table 2.992 * * [progress]: iteration 4 / 4 2.992 * * * [progress]: picking best candidate 3.007 * * * * [pick]: Picked # 3.007 * * * [progress]: localizing error 3.015 * * * [progress]: generating rewritten candidates 3.015 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.055 * * * [progress]: generating series expansions 3.055 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.055 * [backup-simplify]: Simplify (/ 1 (/ y (/ x y))) into (/ x (pow y 2)) 3.055 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.055 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.055 * [taylor]: Taking taylor expansion of x in x 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1 into 1 3.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.056 * [taylor]: Taking taylor expansion of y in x 3.056 * [backup-simplify]: Simplify y into y 3.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.056 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.056 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.056 * [taylor]: Taking taylor expansion of x in y 3.056 * [backup-simplify]: Simplify x into x 3.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.056 * [taylor]: Taking taylor expansion of y in y 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (* 1 1) into 1 3.056 * [backup-simplify]: Simplify (/ x 1) into x 3.056 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.056 * [taylor]: Taking taylor expansion of x in y 3.056 * [backup-simplify]: Simplify x into x 3.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.056 * [taylor]: Taking taylor expansion of y in y 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (* 1 1) into 1 3.057 * [backup-simplify]: Simplify (/ x 1) into x 3.057 * [taylor]: Taking taylor expansion of x in x 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.058 * [taylor]: Taking taylor expansion of 0 in x 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.059 * [taylor]: Taking taylor expansion of 0 in x 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.061 * [taylor]: Taking taylor expansion of 0 in x 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 3.061 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 3.061 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.061 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.061 * [taylor]: Taking taylor expansion of y in x 3.061 * [backup-simplify]: Simplify y into y 3.061 * [taylor]: Taking taylor expansion of x in x 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.062 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.062 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.062 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.062 * [taylor]: Taking taylor expansion of y in y 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [taylor]: Taking taylor expansion of x in y 3.062 * [backup-simplify]: Simplify x into x 3.062 * [backup-simplify]: Simplify (* 1 1) into 1 3.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.062 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.062 * [taylor]: Taking taylor expansion of y in y 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [taylor]: Taking taylor expansion of x in y 3.062 * [backup-simplify]: Simplify x into x 3.062 * [backup-simplify]: Simplify (* 1 1) into 1 3.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.062 * [taylor]: Taking taylor expansion of x in x 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (/ 1 1) into 1 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.063 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.063 * [taylor]: Taking taylor expansion of 0 in x 3.063 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.064 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.065 * [taylor]: Taking taylor expansion of 0 in x 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.066 * [taylor]: Taking taylor expansion of 0 in x 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 3.067 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 3.067 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 3.067 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.067 * [taylor]: Taking taylor expansion of -1 in x 3.067 * [backup-simplify]: Simplify -1 into -1 3.067 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.067 * [taylor]: Taking taylor expansion of y in x 3.067 * [backup-simplify]: Simplify y into y 3.067 * [taylor]: Taking taylor expansion of x in x 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.067 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.067 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.067 * [taylor]: Taking taylor expansion of -1 in y 3.067 * [backup-simplify]: Simplify -1 into -1 3.067 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.067 * [taylor]: Taking taylor expansion of y in y 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [taylor]: Taking taylor expansion of x in y 3.067 * [backup-simplify]: Simplify x into x 3.067 * [backup-simplify]: Simplify (* 1 1) into 1 3.068 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.068 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.068 * [taylor]: Taking taylor expansion of -1 in y 3.068 * [backup-simplify]: Simplify -1 into -1 3.068 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.068 * [taylor]: Taking taylor expansion of y in y 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [taylor]: Taking taylor expansion of x in y 3.068 * [backup-simplify]: Simplify x into x 3.068 * [backup-simplify]: Simplify (* 1 1) into 1 3.068 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.068 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 3.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.068 * [taylor]: Taking taylor expansion of -1 in x 3.068 * [backup-simplify]: Simplify -1 into -1 3.068 * [taylor]: Taking taylor expansion of x in x 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [backup-simplify]: Simplify (/ -1 1) into -1 3.068 * [backup-simplify]: Simplify -1 into -1 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.069 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.069 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 3.069 * [taylor]: Taking taylor expansion of 0 in x 3.069 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.071 * [taylor]: Taking taylor expansion of 0 in x 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.073 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.073 * [taylor]: Taking taylor expansion of 0 in x 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 3.074 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.074 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 3.074 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.074 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.074 * [taylor]: Taking taylor expansion of y in x 3.074 * [backup-simplify]: Simplify y into y 3.074 * [taylor]: Taking taylor expansion of x in x 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.074 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.074 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.074 * [taylor]: Taking taylor expansion of y in y 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [taylor]: Taking taylor expansion of x in y 3.074 * [backup-simplify]: Simplify x into x 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.075 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.075 * [taylor]: Taking taylor expansion of y in y 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [taylor]: Taking taylor expansion of x in y 3.075 * [backup-simplify]: Simplify x into x 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.075 * [taylor]: Taking taylor expansion of x in x 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.076 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.076 * [taylor]: Taking taylor expansion of 0 in x 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.077 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.077 * [taylor]: Taking taylor expansion of 0 in x 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.078 * [taylor]: Taking taylor expansion of 0 in x 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 3.079 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 3.079 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.079 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.079 * [taylor]: Taking taylor expansion of x in x 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.079 * [taylor]: Taking taylor expansion of y in x 3.079 * [backup-simplify]: Simplify y into y 3.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.080 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.080 * [taylor]: Taking taylor expansion of x in y 3.080 * [backup-simplify]: Simplify x into x 3.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.080 * [taylor]: Taking taylor expansion of y in y 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.080 * [backup-simplify]: Simplify (/ x 1) into x 3.080 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.080 * [taylor]: Taking taylor expansion of x in y 3.080 * [backup-simplify]: Simplify x into x 3.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.080 * [taylor]: Taking taylor expansion of y in y 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.080 * [backup-simplify]: Simplify (/ x 1) into x 3.080 * [taylor]: Taking taylor expansion of x in x 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.081 * [taylor]: Taking taylor expansion of 0 in x 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [taylor]: Taking taylor expansion of 0 in x 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.085 * [taylor]: Taking taylor expansion of 0 in x 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 3.085 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 3.085 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 3.085 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 3.085 * [taylor]: Taking taylor expansion of -1 in x 3.085 * [backup-simplify]: Simplify -1 into -1 3.085 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.085 * [taylor]: Taking taylor expansion of x in x 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.085 * [taylor]: Taking taylor expansion of y in x 3.085 * [backup-simplify]: Simplify y into y 3.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.085 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.085 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.085 * [taylor]: Taking taylor expansion of -1 in y 3.085 * [backup-simplify]: Simplify -1 into -1 3.085 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.085 * [taylor]: Taking taylor expansion of x in y 3.085 * [backup-simplify]: Simplify x into x 3.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.085 * [taylor]: Taking taylor expansion of y in y 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (* 1 1) into 1 3.086 * [backup-simplify]: Simplify (/ x 1) into x 3.086 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.086 * [taylor]: Taking taylor expansion of -1 in y 3.086 * [backup-simplify]: Simplify -1 into -1 3.086 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.086 * [taylor]: Taking taylor expansion of x in y 3.086 * [backup-simplify]: Simplify x into x 3.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.086 * [taylor]: Taking taylor expansion of y in y 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [backup-simplify]: Simplify (* 1 1) into 1 3.086 * [backup-simplify]: Simplify (/ x 1) into x 3.086 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 3.086 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.086 * [taylor]: Taking taylor expansion of -1 in x 3.086 * [backup-simplify]: Simplify -1 into -1 3.086 * [taylor]: Taking taylor expansion of x in x 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 3.087 * [backup-simplify]: Simplify -1 into -1 3.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 3.088 * [taylor]: Taking taylor expansion of 0 in x 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 3.091 * [taylor]: Taking taylor expansion of 0 in x 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.091 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.094 * [taylor]: Taking taylor expansion of 0 in x 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 3.094 * * * [progress]: simplifying candidates 3.098 * [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 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ y (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ y (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) 1))) (/ (cbrt 1) (/ y (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (sqrt y)))) (/ (cbrt 1) (/ y (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 1))) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ y (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ 1 (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y) (/ (sqrt 1) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (sqrt 1) (cbrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (sqrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (sqrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt 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(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) 3.102 * * [simplify]: iteration 0: 421 enodes 3.441 * * [simplify]: iteration 1: 1203 enodes 3.868 * * [simplify]: iteration complete: 5001 enodes 3.869 * * [simplify]: Extracting #0: cost 184 inf + 0 3.874 * * [simplify]: Extracting #1: cost 1847 inf + 46 3.883 * * [simplify]: Extracting #2: cost 1251 inf + 4259 3.892 * * [simplify]: Extracting #3: cost 182 inf + 13239 3.907 * * [simplify]: Extracting #4: cost 0 inf + 14725 3.912 * * [simplify]: Extracting #5: cost 0 inf + 14723 3.920 * [simplify]: Simplified to: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) -1 (- (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)))) (pow (exp (/ 1 y)) (/ x y)) (* (/ 1 (pow y 3)) (/ (pow x 3) (pow y 3))) (/ (pow (/ x y) 3) (pow y 3)) (/ 1 (pow (/ y (/ x y)) 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) (/ x y)) (/ 1 (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* 1 (* (cbrt (/ x y)) 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(sqrt y) y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (/ 1 y) (cbrt (/ x 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 (* (/ y (cbrt x)) (sqrt 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)) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (sqrt x) (/ (* 1 (/ (sqrt x) y)) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (* (/ 1 y) x) (cbrt 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 y) x) (/ 1 y) (/ 1 (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ (* 1 (sqrt (/ x y))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (sqrt (/ 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y)) (cbrt (/ x y))) (/ (* 1 (sqrt (/ x y))) (sqrt y)) (/ (* 1 (sqrt (/ x y))) (sqrt y)) (* (/ 1 (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* (/ 1 (sqrt y)) (cbrt x)) (cbrt y)) (/ (* (/ 1 (sqrt y)) (cbrt x)) (/ (sqrt y) (cbrt x))) (* (/ 1 (sqrt y)) (/ (cbrt x) (sqrt y))) (* (* (/ 1 (sqrt y)) (cbrt x)) (cbrt x)) (/ (* (/ 1 (sqrt y)) (cbrt x)) y) (/ (* (/ 1 (sqrt y)) (sqrt x)) (* (cbrt y) (cbrt y))) (/ 1 (* (/ (sqrt y) (sqrt x)) (cbrt y))) (/ (* (/ 1 (sqrt y)) (sqrt x)) (sqrt y)) (/ (* (/ 1 (sqrt y)) (sqrt x)) (sqrt y)) (/ (* 1 (sqrt x)) (sqrt y)) (/ 1 (/ (sqrt y) (/ (sqrt x) y))) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (/ (* 1 (/ x (cbrt y))) (sqrt y)) (/ 1 (* (sqrt y) (sqrt y))) (/ (* 1 (/ x (sqrt y))) (sqrt y)) (/ 1 (sqrt y)) (/ (* (/ 1 (sqrt y)) x) y) (/ 1 (sqrt y)) (/ (* (/ 1 (sqrt y)) x) y) (/ (* 1 x) (sqrt y)) (/ 1 (* (sqrt y) y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (/ 1 y) (cbrt (/ x 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 (* (/ y (cbrt x)) (sqrt 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)) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (sqrt x) (/ (* 1 (/ (sqrt x) y)) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (* (/ 1 y) x) (cbrt 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 y) x) (/ 1 y) (/ 1 (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ (* 1 (sqrt (/ x y))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (sqrt (/ x y)))) (/ (* (/ (/ 1 (cbrt y)) (cbrt y)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ 1 (* (/ (cbrt y) (cbrt x)) (cbrt y))) (/ (* 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (cbrt y) (cbrt y))) (/ (* 1 (/ (cbrt x) (sqrt y))) (cbrt y)) (* (* (/ (/ 1 (cbrt y)) (cbrt y)) (cbrt x)) (cbrt x)) (* (/ 1 (cbrt y)) (/ (cbrt x) y)) (/ (* (/ (/ 1 (cbrt y)) (cbrt y)) (/ (sqrt x) (cbrt y))) (cbrt y)) (/ (* (/ 1 (cbrt y)) (sqrt x)) (cbrt y)) (/ 1 (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y)))) (/ (* 1 (/ (sqrt x) (sqrt y))) (cbrt y)) (* (/ (/ 1 (cbrt y)) (cbrt y)) (sqrt x)) (* (/ 1 (cbrt y)) (/ (sqrt x) y)) (/ 1 (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* 1 (/ x (cbrt y))) (cbrt y)) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (* (/ 1 (cbrt y)) (/ x (sqrt y))) (/ (/ 1 (cbrt y)) (cbrt y)) (* (/ 1 (cbrt y)) (/ x y)) (/ (/ 1 (cbrt y)) (cbrt y)) (* (/ 1 (cbrt y)) (/ x y)) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (/ 1 (* (cbrt y) y)) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (sqrt y)) (* (/ 1 (sqrt y)) (cbrt (/ x y))) (/ (* 1 (sqrt (/ x y))) (sqrt y)) (/ (* 1 (sqrt (/ x y))) (sqrt y)) (* (/ 1 (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* (/ 1 (sqrt y)) (cbrt x)) (cbrt y)) (/ (* (/ 1 (sqrt y)) (cbrt x)) (/ (sqrt y) (cbrt x))) (* (/ 1 (sqrt y)) (/ (cbrt x) (sqrt y))) (* (* (/ 1 (sqrt y)) (cbrt x)) (cbrt x)) (/ (* (/ 1 (sqrt y)) (cbrt x)) y) (/ (* (/ 1 (sqrt y)) (sqrt x)) (* (cbrt y) (cbrt y))) (/ 1 (* (/ (sqrt y) (sqrt x)) (cbrt y))) (/ (* (/ 1 (sqrt y)) (sqrt x)) (sqrt y)) (/ (* (/ 1 (sqrt y)) (sqrt x)) (sqrt y)) (/ (* 1 (sqrt x)) (sqrt y)) (/ 1 (/ (sqrt y) (/ (sqrt x) y))) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (/ (* 1 (/ x (cbrt y))) (sqrt y)) (/ 1 (* (sqrt y) (sqrt y))) (/ (* 1 (/ x (sqrt y))) (sqrt y)) (/ 1 (sqrt y)) (/ (* (/ 1 (sqrt y)) x) y) (/ 1 (sqrt y)) (/ (* (/ 1 (sqrt y)) x) y) (/ (* 1 x) (sqrt y)) (/ 1 (* (sqrt y) y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (/ 1 y) (cbrt (/ x 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 (* (/ y (cbrt x)) (sqrt 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)) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (sqrt x) (/ (* 1 (/ (sqrt x) y)) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (* (/ 1 y) x) (cbrt 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 y) x) (/ 1 y) (* (/ 1 y) (/ x y)) (/ y (/ x y)) (/ 1 (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt y) (cbrt y))) (/ (* 1 (sqrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (* (/ (/ 1 (cbrt y)) (cbrt y)) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (* 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (cbrt y) (cbrt y))) (* (* (/ (/ 1 (cbrt y)) (cbrt y)) (cbrt x)) (cbrt x)) (/ (* (/ (/ 1 (cbrt y)) (cbrt y)) (/ (sqrt x) (cbrt y))) (cbrt y)) (/ 1 (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y)))) (* (/ (/ 1 (cbrt y)) (cbrt y)) (sqrt x)) (/ 1 (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (/ (* 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (sqrt y)) (/ (* 1 (sqrt (/ x y))) (sqrt y)) (* (/ 1 (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* (/ 1 (sqrt y)) (cbrt x)) (/ (sqrt y) (cbrt x))) (* (* (/ 1 (sqrt y)) (cbrt x)) (cbrt x)) (/ (* (/ 1 (sqrt y)) (sqrt x)) (* (cbrt y) (cbrt y))) (/ (* (/ 1 (sqrt y)) (sqrt x)) (sqrt y)) (/ (* 1 (sqrt x)) (sqrt y)) (/ 1 (* (* (sqrt y) (cbrt y)) (cbrt y))) (/ 1 (* (sqrt y) (sqrt y))) (/ 1 (sqrt y)) (/ 1 (sqrt y)) (/ (* 1 x) (sqrt y)) (* (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)) (cbrt y)) (/ 1 (sqrt y)) 1 1 x 1 (/ 1 y) (* (/ 1 y) x) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ 1 y) (expm1 (/ y (/ x y))) (log1p (/ y (/ x y))) (log (/ y (/ x y))) (log (/ y (/ x y))) (log (/ y (/ x y))) (exp (/ y (/ x y))) (* (/ (pow y 3) (pow x 3)) (pow y 3)) (/ (pow y 3) (pow (/ x y) 3)) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y))) (pow (/ y (/ x y)) 3) (sqrt (/ y (/ x y))) (sqrt (/ y (/ x y))) (- y) (- (/ x y)) (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x y)))) (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (/ (sqrt (/ x y)) (cbrt y))) (/ (cbrt y) (sqrt (/ x y))) (* (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (/ (cbrt y) (cbrt x)) (cbrt y))) (* (/ (cbrt y) (cbrt x)) (cbrt y)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ (cbrt y) (cbrt x)) (sqrt y)) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (/ (* (cbrt y) y) (cbrt x)) (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x)) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y))) (/ (cbrt y) (/ (sqrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (/ (cbrt y) (/ (sqrt x) y)) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (/ (cbrt y) (/ x (cbrt y))) (* (* (sqrt y) (cbrt y)) (cbrt y)) (* (/ (cbrt y) x) (sqrt y)) (* (cbrt y) (cbrt y)) (/ (* (cbrt y) y) x) (* (cbrt y) (cbrt y)) (/ (* (cbrt y) y) x) (/ (* (cbrt y) (cbrt y)) x) (* (cbrt y) 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))) (/ (sqrt y) (/ (cbrt x) (sqrt y))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) (sqrt x)) (cbrt y)) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (sqrt x)) (/ (sqrt y) (/ (sqrt x) y)) (* (* (sqrt y) (cbrt y)) (cbrt y)) (/ (* (sqrt y) (cbrt y)) x) (* (sqrt y) (sqrt y)) (* (/ (sqrt y) x) (sqrt y)) (sqrt y) (/ (sqrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (* (sqrt y) y) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ (* 1 (* (cbrt y) (cbrt y))) (* (cbrt x) (cbrt x))) (/ (* y (cbrt y)) (cbrt x)) (* (/ 1 (* (cbrt x) (cbrt x))) (sqrt y)) (* (/ y (cbrt x)) (sqrt y)) (/ 1 (* (cbrt x) (cbrt x))) (/ (* y y) (cbrt x)) (/ 1 (/ (/ (sqrt x) (cbrt y)) (cbrt y))) (* (/ y (sqrt x)) (cbrt y)) (/ (* 1 (sqrt y)) (sqrt x)) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (/ y (/ (sqrt x) y)) (* (cbrt y) (cbrt y)) (* (/ y x) (cbrt y)) (sqrt y) (/ y (/ x (sqrt y))) 1 (/ y (/ x y)) 1 (/ y (/ x y)) (/ 1 x) (* y y) (/ (* 1 y) x) (/ (/ x y) y) (/ (/ y (cbrt (/ x y))) (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* y (sqrt y)) (* (cbrt x) (cbrt x))) (/ y (* (cbrt x) (cbrt x))) (/ y (/ (/ (sqrt x) (cbrt y)) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (sqrt x)) (* (* y (cbrt y)) (cbrt y)) (* y (sqrt y)) y y (/ y x) (/ x (* (cbrt y) 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) 3.923 * * * [progress]: adding candidates to table 4.726 * [progress]: [Phase 3 of 3] Extracting. 4.727 * * [regime]: Finding splitpoints for: (# # # # # # # #) 4.727 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 4.727 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 4.797 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # # # #) 4.866 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 4.940 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 5.010 * * * [regime]: Found split indices: #