14.363 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (/ x (* y y)) 0.019 * * [simplify]: iteration 0: 4 enodes 0.020 * * [simplify]: iteration 1: 6 enodes 0.020 * * [simplify]: iteration complete: 6 enodes 0.020 * * [simplify]: Extracting #0: cost 1 inf + 0 0.020 * * [simplify]: Extracting #1: cost 5 inf + 0 0.021 * * [simplify]: Extracting #2: cost 2 inf + 43 0.021 * * [simplify]: Extracting #3: cost 0 inf + 167 0.021 * [simplify]: Simplified to: (/ x (* y y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.036 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [backup-simplify]: Simplify x into x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [backup-simplify]: Simplify (* 1 1) into 1 0.036 * [backup-simplify]: Simplify (/ x 1) into x 0.036 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.037 * [backup-simplify]: Simplify y into y 0.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.037 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [backup-simplify]: Simplify y into y 0.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [backup-simplify]: Simplify (* 1 1) into 1 0.037 * [backup-simplify]: Simplify (/ 1 1) into 1 0.037 * [backup-simplify]: Simplify 1 into 1 0.038 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.038 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify (+ (* y 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))))) into 0 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.041 * [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 0.042 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.044 * [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 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.044 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.044 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [backup-simplify]: Simplify x into x 0.044 * [backup-simplify]: Simplify (* 1 1) into 1 0.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.045 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.045 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.045 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.045 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (* 1 1) into 1 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 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 (+ (* 1 0) (* 0 1)) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.050 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.050 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) 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) x) in y 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 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [backup-simplify]: Simplify x into x 0.051 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.051 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.051 * [taylor]: Taking taylor expansion of -1 in x 0.051 * [backup-simplify]: Simplify -1 into -1 0.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.051 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.051 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.051 * [taylor]: Taking taylor expansion of -1 in x 0.051 * [backup-simplify]: Simplify -1 into -1 0.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.051 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.052 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.052 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of -1 in y 0.052 * [backup-simplify]: Simplify -1 into -1 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (* -1 1) into -1 0.052 * [backup-simplify]: Simplify -1 into -1 0.052 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.054 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.057 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.060 * * * [progress]: simplifying candidates 0.060 * [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)) 0.060 * * [simplify]: iteration 0: 45 enodes 0.068 * * [simplify]: iteration 1: 112 enodes 0.129 * * [simplify]: iteration 2: 616 enodes 0.460 * * [simplify]: iteration complete: 5001 enodes 0.460 * * [simplify]: Extracting #0: cost 20 inf + 0 0.462 * * [simplify]: Extracting #1: cost 750 inf + 0 0.470 * * [simplify]: Extracting #2: cost 2084 inf + 2861 0.504 * * [simplify]: Extracting #3: cost 765 inf + 142760 0.594 * * [simplify]: Extracting #4: cost 10 inf + 230317 0.666 * * [simplify]: Extracting #5: cost 0 inf + 230730 0.734 * * [simplify]: Extracting #6: cost 0 inf + 230650 0.799 * [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 (cbrt x)) y) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.800 * * * [progress]: adding candidates to table 0.895 * * [progress]: iteration 2 / 4 0.895 * * * [progress]: picking best candidate 0.921 * * * * [pick]: Picked # 0.921 * * * [progress]: localizing error 0.929 * * * [progress]: generating rewritten candidates 0.929 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.946 * * * [progress]: generating series expansions 0.946 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.947 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 0.947 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.947 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.947 * [taylor]: Taking taylor expansion of x in y 0.947 * [backup-simplify]: Simplify x into x 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (* 1 1) into 1 0.947 * [backup-simplify]: Simplify (/ x 1) into x 0.947 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [backup-simplify]: Simplify y into y 0.948 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.948 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.948 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.948 * [taylor]: Taking taylor expansion of y in x 0.948 * [backup-simplify]: Simplify y into y 0.948 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.948 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (* 1 1) into 1 0.949 * [backup-simplify]: Simplify (/ 1 1) into 1 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.951 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.954 * [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 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.957 * [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 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.958 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 0.958 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.958 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [backup-simplify]: Simplify x into x 0.958 * [backup-simplify]: Simplify (* 1 1) into 1 0.958 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.958 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [backup-simplify]: Simplify y into y 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.959 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.959 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [backup-simplify]: Simplify y into y 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.959 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (* 1 1) into 1 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.963 * [taylor]: Taking taylor expansion of 0 in y 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.967 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 0.967 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.967 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.967 * [taylor]: Taking taylor expansion of -1 in y 0.967 * [backup-simplify]: Simplify -1 into -1 0.967 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [taylor]: Taking taylor expansion of x in y 0.967 * [backup-simplify]: Simplify x into x 0.967 * [backup-simplify]: Simplify (* 1 1) into 1 0.967 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.967 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [backup-simplify]: Simplify -1 into -1 0.967 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.967 * [taylor]: Taking taylor expansion of y in x 0.967 * [backup-simplify]: Simplify y into y 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.968 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.968 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.968 * [backup-simplify]: Simplify -1 into -1 0.968 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.968 * [backup-simplify]: Simplify y into y 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.968 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.968 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.968 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.968 * [taylor]: Taking taylor expansion of -1 in y 0.968 * [backup-simplify]: Simplify -1 into -1 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify (* -1 1) into -1 0.969 * [backup-simplify]: Simplify -1 into -1 0.969 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.970 * [taylor]: Taking taylor expansion of 0 in y 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.972 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.975 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.979 * [taylor]: Taking taylor expansion of 0 in y 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.979 * * * [progress]: simplifying candidates 0.981 * [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)) 0.982 * * [simplify]: iteration 0: 142 enodes 1.024 * * [simplify]: iteration 1: 343 enodes 1.143 * * [simplify]: iteration 2: 1637 enodes 1.672 * * [simplify]: iteration complete: 5000 enodes 1.672 * * [simplify]: Extracting #0: cost 84 inf + 0 1.675 * * [simplify]: Extracting #1: cost 816 inf + 2 1.686 * * [simplify]: Extracting #2: cost 1850 inf + 22335 1.734 * * [simplify]: Extracting #3: cost 617 inf + 195198 1.781 * * [simplify]: Extracting #4: cost 0 inf + 259823 1.829 * * [simplify]: Extracting #5: cost 0 inf + 259423 1.879 * * [simplify]: Extracting #6: cost 0 inf + 259263 1.926 * [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)) (/ (cbrt x) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (sqrt y)) (/ (/ (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) (cbrt y))) (* (cbrt 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) (* 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) (cbrt y))) (* (cbrt y) (cbrt y))) (/ 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) 1.929 * * * [progress]: adding candidates to table 2.256 * * [progress]: iteration 3 / 4 2.256 * * * [progress]: picking best candidate 2.285 * * * * [pick]: Picked # 2.285 * * * [progress]: localizing error 2.293 * * * [progress]: generating rewritten candidates 2.293 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.330 * * * [progress]: generating series expansions 2.330 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.330 * [backup-simplify]: Simplify (* (/ x y) (/ 1 y)) into (/ x (pow y 2)) 2.330 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 2.330 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.330 * [taylor]: Taking taylor expansion of x in y 2.330 * [backup-simplify]: Simplify x into x 2.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.331 * [taylor]: Taking taylor expansion of y in y 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (* 1 1) into 1 2.331 * [backup-simplify]: Simplify (/ x 1) into x 2.331 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.331 * [taylor]: Taking taylor expansion of x in x 2.331 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.332 * [backup-simplify]: Simplify y into y 2.332 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.332 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.332 * [taylor]: Taking taylor expansion of y in x 2.332 * [backup-simplify]: Simplify y into y 2.332 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.332 * [taylor]: Taking taylor expansion of y in y 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* 1 1) into 1 2.333 * [backup-simplify]: Simplify (/ 1 1) into 1 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.333 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.333 * [taylor]: Taking taylor expansion of 0 in y 2.333 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.335 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.335 * [taylor]: Taking taylor expansion of 0 in y 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.337 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.337 * [taylor]: Taking taylor expansion of 0 in y 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.339 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.339 * [taylor]: Taking taylor expansion of 0 in y 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 2.340 * [backup-simplify]: Simplify (* (/ (/ 1 x) (/ 1 y)) (/ 1 (/ 1 y))) into (/ (pow y 2) x) 2.340 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 2.340 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.340 * [taylor]: Taking taylor expansion of y in y 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 1 into 1 2.340 * [taylor]: Taking taylor expansion of x in y 2.340 * [backup-simplify]: Simplify x into x 2.340 * [backup-simplify]: Simplify (* 1 1) into 1 2.340 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.340 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.340 * [taylor]: Taking taylor expansion of y in x 2.340 * [backup-simplify]: Simplify y into y 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.340 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.340 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.341 * [taylor]: Taking taylor expansion of y in x 2.341 * [backup-simplify]: Simplify y into y 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.341 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.341 * [taylor]: Taking taylor expansion of y in y 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (* 1 1) into 1 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 2.342 * [taylor]: Taking taylor expansion of 0 in y 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [taylor]: Taking taylor expansion of 0 in y 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [taylor]: Taking taylor expansion of 0 in y 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 2.346 * [backup-simplify]: Simplify (* (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 2.346 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 2.346 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.346 * [taylor]: Taking taylor expansion of -1 in y 2.346 * [backup-simplify]: Simplify -1 into -1 2.346 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.346 * [taylor]: Taking taylor expansion of y in y 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.346 * [taylor]: Taking taylor expansion of x in y 2.346 * [backup-simplify]: Simplify x into x 2.347 * [backup-simplify]: Simplify (* 1 1) into 1 2.347 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.347 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.347 * [taylor]: Taking taylor expansion of -1 in x 2.347 * [backup-simplify]: Simplify -1 into -1 2.347 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.347 * [taylor]: Taking taylor expansion of y in x 2.347 * [backup-simplify]: Simplify y into y 2.347 * [taylor]: Taking taylor expansion of x in x 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.347 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.347 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.347 * [taylor]: Taking taylor expansion of -1 in x 2.347 * [backup-simplify]: Simplify -1 into -1 2.347 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.347 * [taylor]: Taking taylor expansion of y in x 2.347 * [backup-simplify]: Simplify y into y 2.347 * [taylor]: Taking taylor expansion of x in x 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.347 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 2.347 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 2.347 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 2.347 * [taylor]: Taking taylor expansion of -1 in y 2.348 * [backup-simplify]: Simplify -1 into -1 2.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.348 * [taylor]: Taking taylor expansion of y in y 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (* 1 1) into 1 2.348 * [backup-simplify]: Simplify (* -1 1) into -1 2.348 * [backup-simplify]: Simplify -1 into -1 2.348 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 2.349 * [taylor]: Taking taylor expansion of 0 in y 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.352 * [taylor]: Taking taylor expansion of 0 in y 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.357 * [taylor]: Taking taylor expansion of 0 in y 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 2.357 * * * [progress]: simplifying candidates 2.358 * [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)) 2.359 * * [simplify]: iteration 0: 112 enodes 2.395 * * [simplify]: iteration 1: 343 enodes 2.577 * * [simplify]: iteration 2: 1940 enodes 3.657 * * [simplify]: iteration complete: 5001 enodes 3.657 * * [simplify]: Extracting #0: cost 33 inf + 0 3.658 * * [simplify]: Extracting #1: cost 643 inf + 1 3.664 * * [simplify]: Extracting #2: cost 1662 inf + 21020 3.687 * * [simplify]: Extracting #3: cost 566 inf + 173145 3.741 * * [simplify]: Extracting #4: cost 32 inf + 226843 3.799 * * [simplify]: Extracting #5: cost 0 inf + 226047 3.856 * * [simplify]: Extracting #6: cost 0 inf + 225807 3.915 * [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) (/ (/ x y) y))) y) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (/ 1 y) (* (/ 1 y) (/ 1 y)))) (/ (* (/ (/ x y) y) (* (/ x y) (/ (/ x y) y))) y) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (/ 1 y) (* (/ 1 y) (/ 1 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 (/ 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) (/ 1 y)) (/ x y) (/ x y) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 3.918 * * * [progress]: adding candidates to table 4.113 * * [progress]: iteration 4 / 4 4.113 * * * [progress]: picking best candidate 4.146 * * * * [pick]: Picked # 4.146 * * * [progress]: localizing error 4.159 * * * [progress]: generating rewritten candidates 4.159 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.178 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.201 * * * [progress]: generating series expansions 4.201 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.201 * [backup-simplify]: Simplify (/ 1 (/ y (/ x y))) into (/ x (pow y 2)) 4.201 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 4.201 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.202 * [taylor]: Taking taylor expansion of x in x 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.202 * [taylor]: Taking taylor expansion of y in x 4.202 * [backup-simplify]: Simplify y into y 4.202 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.202 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.202 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.202 * [taylor]: Taking taylor expansion of x in y 4.202 * [backup-simplify]: Simplify x into x 4.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.202 * [taylor]: Taking taylor expansion of y in y 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (* 1 1) into 1 4.203 * [backup-simplify]: Simplify (/ x 1) into x 4.203 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.203 * [taylor]: Taking taylor expansion of x in y 4.203 * [backup-simplify]: Simplify x into x 4.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.203 * [taylor]: Taking taylor expansion of y in y 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (* 1 1) into 1 4.203 * [backup-simplify]: Simplify (/ x 1) into x 4.203 * [taylor]: Taking taylor expansion of x in x 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.205 * [taylor]: Taking taylor expansion of 0 in x 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.207 * [taylor]: Taking taylor expansion of 0 in x 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.210 * [taylor]: Taking taylor expansion of 0 in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 4.210 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 4.210 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 4.210 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.210 * [taylor]: Taking taylor expansion of y in x 4.210 * [backup-simplify]: Simplify y into y 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.211 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.211 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.211 * [taylor]: Taking taylor expansion of y in y 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [taylor]: Taking taylor expansion of x in y 4.211 * [backup-simplify]: Simplify x into x 4.211 * [backup-simplify]: Simplify (* 1 1) into 1 4.211 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.211 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.211 * [taylor]: Taking taylor expansion of y in y 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [taylor]: Taking taylor expansion of x in y 4.211 * [backup-simplify]: Simplify x into x 4.212 * [backup-simplify]: Simplify (* 1 1) into 1 4.212 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.212 * [taylor]: Taking taylor expansion of x in x 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [backup-simplify]: Simplify (/ 1 1) into 1 4.212 * [backup-simplify]: Simplify 1 into 1 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.213 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.213 * [taylor]: Taking taylor expansion of 0 in x 4.213 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.215 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.215 * [taylor]: Taking taylor expansion of 0 in x 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.217 * [taylor]: Taking taylor expansion of 0 in x 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 4.218 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 4.218 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 4.218 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.218 * [taylor]: Taking taylor expansion of -1 in x 4.218 * [backup-simplify]: Simplify -1 into -1 4.218 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.218 * [taylor]: Taking taylor expansion of y in x 4.218 * [backup-simplify]: Simplify y into y 4.218 * [taylor]: Taking taylor expansion of x in x 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.219 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.219 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.219 * [taylor]: Taking taylor expansion of -1 in y 4.219 * [backup-simplify]: Simplify -1 into -1 4.219 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.219 * [taylor]: Taking taylor expansion of y in y 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [taylor]: Taking taylor expansion of x in y 4.219 * [backup-simplify]: Simplify x into x 4.219 * [backup-simplify]: Simplify (* 1 1) into 1 4.219 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.219 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.219 * [taylor]: Taking taylor expansion of -1 in y 4.219 * [backup-simplify]: Simplify -1 into -1 4.219 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.219 * [taylor]: Taking taylor expansion of y in y 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [taylor]: Taking taylor expansion of x in y 4.219 * [backup-simplify]: Simplify x into x 4.220 * [backup-simplify]: Simplify (* 1 1) into 1 4.220 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.220 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 4.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.220 * [taylor]: Taking taylor expansion of -1 in x 4.220 * [backup-simplify]: Simplify -1 into -1 4.220 * [taylor]: Taking taylor expansion of x in x 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ -1 1) into -1 4.220 * [backup-simplify]: Simplify -1 into -1 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.221 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.222 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 4.222 * [taylor]: Taking taylor expansion of 0 in x 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.223 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.224 * [taylor]: Taking taylor expansion of 0 in x 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.226 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.227 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.227 * [taylor]: Taking taylor expansion of 0 in x 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 4.229 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.229 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 4.229 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 4.229 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.229 * [taylor]: Taking taylor expansion of y in x 4.229 * [backup-simplify]: Simplify y into y 4.229 * [taylor]: Taking taylor expansion of x in x 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.229 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.229 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.229 * [taylor]: Taking taylor expansion of y in y 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [taylor]: Taking taylor expansion of x in y 4.229 * [backup-simplify]: Simplify x into x 4.230 * [backup-simplify]: Simplify (* 1 1) into 1 4.230 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.230 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.230 * [taylor]: Taking taylor expansion of y in y 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [taylor]: Taking taylor expansion of x in y 4.230 * [backup-simplify]: Simplify x into x 4.230 * [backup-simplify]: Simplify (* 1 1) into 1 4.230 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.238 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.238 * [taylor]: Taking taylor expansion of 0 in x 4.238 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.239 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.240 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.240 * [taylor]: Taking taylor expansion of 0 in x 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.242 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.242 * [taylor]: Taking taylor expansion of 0 in x 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 4.244 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 4.244 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 4.244 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.244 * [taylor]: Taking taylor expansion of x in x 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.244 * [taylor]: Taking taylor expansion of y in x 4.244 * [backup-simplify]: Simplify y into y 4.244 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.244 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.244 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.244 * [taylor]: Taking taylor expansion of x in y 4.244 * [backup-simplify]: Simplify x into x 4.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.244 * [taylor]: Taking taylor expansion of y in y 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (* 1 1) into 1 4.245 * [backup-simplify]: Simplify (/ x 1) into x 4.245 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.245 * [taylor]: Taking taylor expansion of x in y 4.245 * [backup-simplify]: Simplify x into x 4.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.245 * [taylor]: Taking taylor expansion of y in y 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify (* 1 1) into 1 4.245 * [backup-simplify]: Simplify (/ x 1) into x 4.245 * [taylor]: Taking taylor expansion of x in x 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.247 * [taylor]: Taking taylor expansion of 0 in x 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.249 * [taylor]: Taking taylor expansion of 0 in x 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.251 * [taylor]: Taking taylor expansion of 0 in x 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 4.251 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 4.252 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 4.252 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 4.252 * [taylor]: Taking taylor expansion of -1 in x 4.252 * [backup-simplify]: Simplify -1 into -1 4.252 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.252 * [taylor]: Taking taylor expansion of x in x 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.252 * [taylor]: Taking taylor expansion of y in x 4.252 * [backup-simplify]: Simplify y into y 4.252 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.252 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.252 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 4.252 * [taylor]: Taking taylor expansion of -1 in y 4.252 * [backup-simplify]: Simplify -1 into -1 4.252 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.252 * [taylor]: Taking taylor expansion of x in y 4.252 * [backup-simplify]: Simplify x into x 4.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.252 * [taylor]: Taking taylor expansion of y in y 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (* 1 1) into 1 4.253 * [backup-simplify]: Simplify (/ x 1) into x 4.253 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 4.253 * [taylor]: Taking taylor expansion of -1 in y 4.253 * [backup-simplify]: Simplify -1 into -1 4.253 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.253 * [taylor]: Taking taylor expansion of x in y 4.253 * [backup-simplify]: Simplify x into x 4.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.253 * [taylor]: Taking taylor expansion of y in y 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (* 1 1) into 1 4.253 * [backup-simplify]: Simplify (/ x 1) into x 4.253 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 4.253 * [taylor]: Taking taylor expansion of (* -1 x) in x 4.253 * [taylor]: Taking taylor expansion of -1 in x 4.253 * [backup-simplify]: Simplify -1 into -1 4.253 * [taylor]: Taking taylor expansion of x in x 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.254 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.254 * [backup-simplify]: Simplify -1 into -1 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 4.256 * [taylor]: Taking taylor expansion of 0 in x 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 4.259 * [taylor]: Taking taylor expansion of 0 in x 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.264 * [taylor]: Taking taylor expansion of 0 in x 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 4.264 * * * [progress]: simplifying candidates 4.268 * [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) (/ 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(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) 4.273 * * [simplify]: iteration 0: 421 enodes 4.591 * * [simplify]: iteration 1: 1203 enodes 4.933 * * [simplify]: iteration complete: 5001 enodes 4.933 * * [simplify]: Extracting #0: cost 184 inf + 0 4.936 * * [simplify]: Extracting #1: cost 1847 inf + 705 4.951 * * [simplify]: Extracting #2: cost 1251 inf + 89553 4.995 * * [simplify]: Extracting #3: cost 182 inf + 287550 5.049 * * [simplify]: Extracting #4: cost 0 inf + 319458 5.124 * * [simplify]: Extracting #5: cost 0 inf + 318848 5.178 * * [simplify]: Extracting #6: cost 0 inf + 318688 5.230 * [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 (/ 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(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)))) (/ 1 (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x 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 x)) (cbrt y)) (* (/ (cbrt y) (cbrt x)) (cbrt y)))) (/ 1 (* (/ (cbrt y) (cbrt x)) (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)))) (* (/ 1 (cbrt y)) (/ (cbrt x) y)) (/ 1 (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x))) (/ (* (/ 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)) (/ 1 (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)))) (/ 1 (cbrt (/ y (/ x y))))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x 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 x)) (cbrt y)) (* (/ (cbrt y) (cbrt x)) (cbrt y)))) (/ 1 (* (/ (cbrt y) (cbrt x)) (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)))) (* (/ 1 (cbrt y)) (/ (cbrt x) y)) (/ 1 (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x))) (/ (* (/ 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)) (/ 1 (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)))) (/ 1 (cbrt (/ y (/ x y))))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x y))))) (/ (* 1 (sqrt (/ x y))) (* (cbrt y) (cbrt y))) (/ 1 (* (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (/ (cbrt y) (cbrt x)) (cbrt y)))) (/ 1 (* (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (sqrt y))) (/ 1 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (/ 1 (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x))) (/ 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)) (/ 1 (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))) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) y)) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y))) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y))) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y))) (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 x)) (/ (cbrt y) (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 x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* 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) 5.248 * * * [progress]: adding candidates to table 6.265 * [progress]: [Phase 3 of 3] Extracting. 6.265 * * [regime]: Finding splitpoints for: (# # # # # #) 6.266 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 6.266 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 6.300 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 6.349 * * * * [regimes]: Trying to branch on y from (# # # # # #) 6.406 * * * * [regimes]: Trying to branch on x from (# # # # # #) 6.449 * * * [regime]: Found split indices: #