58.927 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (/ x (* y y)) 0.021 * * [simplify]: iteration 0: 4 enodes 0.022 * * [simplify]: iteration 1: 6 enodes 0.023 * * [simplify]: iteration complete: 6 enodes 0.023 * * [simplify]: Extracting #0: cost 1 inf + 0 0.023 * * [simplify]: Extracting #1: cost 5 inf + 0 0.023 * * [simplify]: Extracting #2: cost 2 inf + 5 0.023 * * [simplify]: Extracting #3: cost 0 inf + 13 0.023 * [simplify]: Simplified to: (/ x (* y y)) 0.023 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.044 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [backup-simplify]: Simplify x into x 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 0.045 * [backup-simplify]: Simplify (* 1 1) into 1 0.045 * [backup-simplify]: Simplify (/ x 1) into x 0.045 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 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 * [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 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.045 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.045 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 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 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.046 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (* 1 1) into 1 0.047 * [backup-simplify]: Simplify (/ 1 1) into 1 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.047 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.052 * [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 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.055 * [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 0.055 * [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 (* (pow y -2) x)) into (/ x (pow y 2)) 0.055 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.055 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [backup-simplify]: Simplify x into x 0.056 * [backup-simplify]: Simplify (* 1 1) into 1 0.056 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.056 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [backup-simplify]: Simplify y into y 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.056 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.056 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [backup-simplify]: Simplify y into y 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.057 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (* 1 1) into 1 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) 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 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.064 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.064 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [backup-simplify]: Simplify -1 into -1 0.064 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [backup-simplify]: Simplify x into x 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.064 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.064 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.065 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.065 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.065 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.065 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of -1 in y 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (* -1 1) into -1 0.066 * [backup-simplify]: Simplify -1 into -1 0.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.076 * * * [progress]: simplifying candidates 0.076 * [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)) 0.077 * * [simplify]: iteration 0: 45 enodes 0.092 * * [simplify]: iteration 1: 112 enodes 0.147 * * [simplify]: iteration 2: 616 enodes 0.432 * * [simplify]: iteration complete: 5001 enodes 0.432 * * [simplify]: Extracting #0: cost 20 inf + 0 0.433 * * [simplify]: Extracting #1: cost 750 inf + 0 0.438 * * [simplify]: Extracting #2: cost 2084 inf + 150 0.446 * * [simplify]: Extracting #3: cost 765 inf + 8301 0.453 * * [simplify]: Extracting #4: cost 10 inf + 13442 0.465 * * [simplify]: Extracting #5: cost 0 inf + 13388 0.472 * * [simplify]: Extracting #6: cost 0 inf + 13382 0.480 * [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) 0.480 * * * [progress]: adding candidates to table 0.569 * * [progress]: iteration 2 / 4 0.569 * * * [progress]: picking best candidate 0.594 * * * * [pick]: Picked # 0.594 * * * [progress]: localizing error 0.603 * * * [progress]: generating rewritten candidates 0.603 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.619 * * * [progress]: generating series expansions 0.619 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.620 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 0.620 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [backup-simplify]: Simplify x into x 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ x 1) into x 0.620 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [backup-simplify]: Simplify y into y 0.621 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.621 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.621 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [backup-simplify]: Simplify y into y 0.621 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.621 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (* 1 1) into 1 0.622 * [backup-simplify]: Simplify (/ 1 1) into 1 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.627 * [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 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.630 * [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 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.631 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 0.631 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.631 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [backup-simplify]: Simplify x into x 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.631 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [backup-simplify]: Simplify y into y 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.631 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.631 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [backup-simplify]: Simplify y into y 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.632 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [taylor]: Taking taylor expansion of 0 in y 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.638 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 0.638 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.638 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.638 * [taylor]: Taking taylor expansion of -1 in y 0.638 * [backup-simplify]: Simplify -1 into -1 0.638 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [taylor]: Taking taylor expansion of x in y 0.639 * [backup-simplify]: Simplify x into x 0.639 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.639 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.639 * [taylor]: Taking taylor expansion of -1 in x 0.639 * [backup-simplify]: Simplify -1 into -1 0.639 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [backup-simplify]: Simplify y into y 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.639 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.639 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.639 * [taylor]: Taking taylor expansion of -1 in x 0.639 * [backup-simplify]: Simplify -1 into -1 0.639 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [backup-simplify]: Simplify y into y 0.639 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.640 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.640 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.640 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.640 * [taylor]: Taking taylor expansion of -1 in y 0.640 * [backup-simplify]: Simplify -1 into -1 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (* -1 1) into -1 0.641 * [backup-simplify]: Simplify -1 into -1 0.641 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.643 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.647 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.650 * * * [progress]: simplifying candidates 0.652 * [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)) 0.653 * * [simplify]: iteration 0: 142 enodes 0.691 * * [simplify]: iteration 1: 343 enodes 0.834 * * [simplify]: iteration 2: 1637 enodes 1.355 * * [simplify]: iteration complete: 5000 enodes 1.355 * * [simplify]: Extracting #0: cost 84 inf + 0 1.357 * * [simplify]: Extracting #1: cost 816 inf + 2 1.363 * * [simplify]: Extracting #2: cost 1850 inf + 1134 1.372 * * [simplify]: Extracting #3: cost 617 inf + 9379 1.380 * * [simplify]: Extracting #4: cost 0 inf + 13023 1.387 * * [simplify]: Extracting #5: cost 0 inf + 12997 1.394 * * [simplify]: Extracting #6: cost 0 inf + 12987 1.403 * [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) 1.404 * * * [progress]: adding candidates to table 1.616 * * [progress]: iteration 3 / 4 1.616 * * * [progress]: picking best candidate 1.636 * * * * [pick]: Picked # 1.636 * * * [progress]: localizing error 1.646 * * * [progress]: generating rewritten candidates 1.646 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.673 * * * [progress]: generating series expansions 1.673 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.673 * [backup-simplify]: Simplify (* (/ 1 y) (/ x y)) into (/ x (pow y 2)) 1.673 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 1.673 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.673 * [taylor]: Taking taylor expansion of y in x 1.674 * [backup-simplify]: Simplify y into y 1.674 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.674 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.674 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.674 * [taylor]: Taking taylor expansion of x in y 1.674 * [backup-simplify]: Simplify x into x 1.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.674 * [taylor]: Taking taylor expansion of y in y 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (* 1 1) into 1 1.675 * [backup-simplify]: Simplify (/ x 1) into x 1.675 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.675 * [taylor]: Taking taylor expansion of x in y 1.675 * [backup-simplify]: Simplify x into x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (* 1 1) into 1 1.675 * [backup-simplify]: Simplify (/ x 1) into x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 1.677 * [taylor]: Taking taylor expansion of 0 in x 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.679 * [taylor]: Taking taylor expansion of 0 in x 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [taylor]: Taking taylor expansion of 0 in x 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 1.682 * [backup-simplify]: Simplify (* (/ 1 (/ 1 y)) (/ (/ 1 x) (/ 1 y))) into (/ (pow y 2) x) 1.682 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 1.682 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.682 * [backup-simplify]: Simplify y into y 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.682 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.682 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.682 * [taylor]: Taking taylor expansion of y in y 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [taylor]: Taking taylor expansion of x in y 1.682 * [backup-simplify]: Simplify x into x 1.683 * [backup-simplify]: Simplify (* 1 1) into 1 1.683 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.683 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [taylor]: Taking taylor expansion of x in y 1.683 * [backup-simplify]: Simplify x into x 1.683 * [backup-simplify]: Simplify (* 1 1) into 1 1.683 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.685 * [taylor]: Taking taylor expansion of 0 in x 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.686 * [taylor]: Taking taylor expansion of 0 in x 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.688 * [taylor]: Taking taylor expansion of 0 in x 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 1.690 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- y))) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 1.690 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 1.690 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.690 * [taylor]: Taking taylor expansion of -1 in x 1.690 * [backup-simplify]: Simplify -1 into -1 1.690 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 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 * [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 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.690 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 1.690 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 1.690 * [taylor]: Taking taylor expansion of -1 in y 1.690 * [backup-simplify]: Simplify -1 into -1 1.690 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 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 * [taylor]: Taking taylor expansion of x in y 1.690 * [backup-simplify]: Simplify x into x 1.691 * [backup-simplify]: Simplify (* 1 1) into 1 1.691 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.691 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 1.691 * [taylor]: Taking taylor expansion of -1 in y 1.691 * [backup-simplify]: Simplify -1 into -1 1.691 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) 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 * [taylor]: Taking taylor expansion of x in y 1.691 * [backup-simplify]: Simplify x into x 1.691 * [backup-simplify]: Simplify (* 1 1) into 1 1.691 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.691 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 1.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.691 * [taylor]: Taking taylor expansion of -1 in x 1.691 * [backup-simplify]: Simplify -1 into -1 1.691 * [taylor]: Taking taylor expansion of x in x 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (/ -1 1) into -1 1.692 * [backup-simplify]: Simplify -1 into -1 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.693 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.693 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 1.693 * [taylor]: Taking taylor expansion of 0 in x 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.695 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.696 * [taylor]: Taking taylor expansion of 0 in x 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.698 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.698 * [taylor]: Taking taylor expansion of 0 in x 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 1.699 * * * [progress]: simplifying candidates 1.700 * [simplify]: Simplifying: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y)) (+ (- (log y)) (- (log x) (log y))) (+ (- (log y)) (log (/ x y))) (+ (- 0 (log y)) (- (log x) (log y))) (+ (- 0 (log y)) (log (/ x y))) (+ (- (log 1) (log y)) (- (log x) (log y))) (+ (- (log 1) (log y)) (log (/ x y))) (+ (log (/ 1 y)) (- (log x) (log y))) (+ (log (/ 1 y)) (log (/ x y))) (log (* (/ 1 y) (/ x y))) (exp (* (/ 1 y) (/ x y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (* (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (* 1 x) (* y y) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (/ (sqrt x) 1)) (* (/ 1 y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ 1 (sqrt y))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) x) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (* (/ (cbrt 1) (cbrt y)) (/ x y)) (* (/ (cbrt 1) (sqrt y)) (/ x y)) (* (/ (cbrt 1) y) (/ x y)) (* (/ (sqrt 1) (cbrt y)) (/ x y)) (* (/ (sqrt 1) (sqrt y)) (/ x y)) (* (/ (sqrt 1) y) (/ x y)) (* (/ 1 (cbrt y)) (/ x y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) x) (* 1 (/ x y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 1.701 * * [simplify]: iteration 0: 112 enodes 1.733 * * [simplify]: iteration 1: 350 enodes 1.973 * * [simplify]: iteration 2: 2093 enodes 2.830 * * [simplify]: iteration complete: 5001 enodes 2.830 * * [simplify]: Extracting #0: cost 35 inf + 0 2.832 * * [simplify]: Extracting #1: cost 643 inf + 1 2.838 * * [simplify]: Extracting #2: cost 1720 inf + 297 2.848 * * [simplify]: Extracting #3: cost 802 inf + 5517 2.856 * * [simplify]: Extracting #4: cost 83 inf + 10838 2.863 * * [simplify]: Extracting #5: cost 0 inf + 11536 2.869 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (/ (/ x y) y) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (pow x 3) (pow y 3)) (pow y 3)) (/ (pow (/ x y) 3) (pow y 3)) (/ (pow (/ 1 y) 3) (/ (pow y 3) (pow x 3))) (pow (/ (/ x y) y) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) x (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) y) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) y) (* (cbrt y) (cbrt y))) (/ (* (/ (cbrt x) (sqrt y)) (cbrt x)) y) (/ (* (cbrt x) (cbrt x)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) y) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ 1 y) (/ 1 y) (/ x y) (/ (* x (cbrt (/ 1 y))) y) (/ (* x (sqrt (/ 1 y))) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x (cbrt y)) y) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) (/ x y) (/ x y) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 2.870 * * * [progress]: adding candidates to table 3.089 * * [progress]: iteration 4 / 4 3.089 * * * [progress]: picking best candidate 3.114 * * * * [pick]: Picked # 3.114 * * * [progress]: localizing error 3.127 * * * [progress]: generating rewritten candidates 3.127 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.167 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.266 * * * [progress]: generating series expansions 3.266 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.267 * [backup-simplify]: Simplify (/ (/ 1 1) (/ y (/ x y))) into (/ x (pow y 2)) 3.267 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.267 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.267 * [taylor]: Taking taylor expansion of x in x 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.267 * [taylor]: Taking taylor expansion of y in x 3.267 * [backup-simplify]: Simplify y into y 3.268 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.268 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.268 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.268 * [taylor]: Taking taylor expansion of x in y 3.268 * [backup-simplify]: Simplify x into x 3.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.268 * [taylor]: Taking taylor expansion of y in y 3.268 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (* 1 1) into 1 3.277 * [backup-simplify]: Simplify (/ x 1) into x 3.277 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.277 * [taylor]: Taking taylor expansion of x in y 3.277 * [backup-simplify]: Simplify x into x 3.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.278 * [taylor]: Taking taylor expansion of y in y 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify (* 1 1) into 1 3.278 * [backup-simplify]: Simplify (/ x 1) into x 3.278 * [taylor]: Taking taylor expansion of x in x 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify 1 into 1 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.279 * [taylor]: Taking taylor expansion of 0 in x 3.279 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [taylor]: Taking taylor expansion of 0 in x 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.284 * [taylor]: Taking taylor expansion of 0 in x 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 3.285 * [backup-simplify]: Simplify (/ (/ 1 1) (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 3.285 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.285 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.285 * [taylor]: Taking taylor expansion of y in x 3.285 * [backup-simplify]: Simplify y into y 3.285 * [taylor]: Taking taylor expansion of x in x 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.285 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.285 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.285 * [taylor]: Taking taylor expansion of y in y 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [taylor]: Taking taylor expansion of x in y 3.285 * [backup-simplify]: Simplify x into x 3.285 * [backup-simplify]: Simplify (* 1 1) into 1 3.285 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.286 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.286 * [taylor]: Taking taylor expansion of y in y 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [taylor]: Taking taylor expansion of x in y 3.286 * [backup-simplify]: Simplify x into x 3.286 * [backup-simplify]: Simplify (* 1 1) into 1 3.286 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.286 * [taylor]: Taking taylor expansion of x in x 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (/ 1 1) into 1 3.286 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.287 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.287 * [taylor]: Taking taylor expansion of 0 in x 3.287 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.289 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.289 * [taylor]: Taking taylor expansion of 0 in x 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.290 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.291 * [taylor]: Taking taylor expansion of 0 in x 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 3.292 * [backup-simplify]: Simplify (/ (/ 1 1) (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 3.292 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 3.292 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.292 * [taylor]: Taking taylor expansion of -1 in x 3.292 * [backup-simplify]: Simplify -1 into -1 3.292 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.292 * [taylor]: Taking taylor expansion of y in x 3.292 * [backup-simplify]: Simplify y into y 3.292 * [taylor]: Taking taylor expansion of x in x 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.293 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.293 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.293 * [taylor]: Taking taylor expansion of -1 in y 3.293 * [backup-simplify]: Simplify -1 into -1 3.293 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.293 * [taylor]: Taking taylor expansion of y in y 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [taylor]: Taking taylor expansion of x in y 3.293 * [backup-simplify]: Simplify x into x 3.293 * [backup-simplify]: Simplify (* 1 1) into 1 3.293 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.293 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.293 * [taylor]: Taking taylor expansion of -1 in y 3.293 * [backup-simplify]: Simplify -1 into -1 3.293 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.293 * [taylor]: Taking taylor expansion of y in y 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [taylor]: Taking taylor expansion of x in y 3.293 * [backup-simplify]: Simplify x into x 3.294 * [backup-simplify]: Simplify (* 1 1) into 1 3.294 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.294 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 3.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.294 * [taylor]: Taking taylor expansion of -1 in x 3.294 * [backup-simplify]: Simplify -1 into -1 3.294 * [taylor]: Taking taylor expansion of x in x 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.294 * [backup-simplify]: Simplify (/ -1 1) into -1 3.294 * [backup-simplify]: Simplify -1 into -1 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.295 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.295 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 3.295 * [taylor]: Taking taylor expansion of 0 in x 3.295 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.297 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.298 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.298 * [taylor]: Taking taylor expansion of 0 in x 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.301 * [taylor]: Taking taylor expansion of 0 in x 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 3.302 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.302 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 3.302 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 3.302 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.302 * [taylor]: Taking taylor expansion of y in x 3.302 * [backup-simplify]: Simplify y into y 3.302 * [taylor]: Taking taylor expansion of x in x 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.303 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.303 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.303 * [taylor]: Taking taylor expansion of y in y 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [taylor]: Taking taylor expansion of x in y 3.303 * [backup-simplify]: Simplify x into x 3.303 * [backup-simplify]: Simplify (* 1 1) into 1 3.303 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.303 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.303 * [taylor]: Taking taylor expansion of y in y 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [taylor]: Taking taylor expansion of x in y 3.303 * [backup-simplify]: Simplify x into x 3.303 * [backup-simplify]: Simplify (* 1 1) into 1 3.304 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.304 * [taylor]: Taking taylor expansion of x in x 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.304 * [backup-simplify]: Simplify (/ 1 1) into 1 3.304 * [backup-simplify]: Simplify 1 into 1 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.304 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.304 * [taylor]: Taking taylor expansion of 0 in x 3.304 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.305 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.305 * [taylor]: Taking taylor expansion of 0 in x 3.305 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.307 * [taylor]: Taking taylor expansion of 0 in x 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 3.308 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 3.308 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 3.308 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.308 * [taylor]: Taking taylor expansion of x in x 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.308 * [taylor]: Taking taylor expansion of y in x 3.308 * [backup-simplify]: Simplify y into y 3.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.308 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.308 * [taylor]: Taking taylor expansion of x in y 3.308 * [backup-simplify]: Simplify x into x 3.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.308 * [taylor]: Taking taylor expansion of y in y 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (* 1 1) into 1 3.308 * [backup-simplify]: Simplify (/ x 1) into x 3.308 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.308 * [taylor]: Taking taylor expansion of x in y 3.308 * [backup-simplify]: Simplify x into x 3.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.308 * [taylor]: Taking taylor expansion of y in y 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (* 1 1) into 1 3.309 * [backup-simplify]: Simplify (/ x 1) into x 3.309 * [taylor]: Taking taylor expansion of x in x 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.310 * [taylor]: Taking taylor expansion of 0 in x 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [taylor]: Taking taylor expansion of 0 in x 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [taylor]: Taking taylor expansion of 0 in x 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 3.313 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 3.313 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 3.313 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 3.313 * [taylor]: Taking taylor expansion of -1 in x 3.313 * [backup-simplify]: Simplify -1 into -1 3.313 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.313 * [taylor]: Taking taylor expansion of x in x 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.313 * [taylor]: Taking taylor expansion of y in x 3.313 * [backup-simplify]: Simplify y into y 3.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.313 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.313 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.313 * [taylor]: Taking taylor expansion of -1 in y 3.313 * [backup-simplify]: Simplify -1 into -1 3.314 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.314 * [taylor]: Taking taylor expansion of x in y 3.314 * [backup-simplify]: Simplify x into x 3.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.314 * [taylor]: Taking taylor expansion of y in y 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (* 1 1) into 1 3.314 * [backup-simplify]: Simplify (/ x 1) into x 3.314 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 3.314 * [taylor]: Taking taylor expansion of -1 in y 3.314 * [backup-simplify]: Simplify -1 into -1 3.314 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.314 * [taylor]: Taking taylor expansion of x in y 3.314 * [backup-simplify]: Simplify x into x 3.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.314 * [taylor]: Taking taylor expansion of y in y 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (* 1 1) into 1 3.314 * [backup-simplify]: Simplify (/ x 1) into x 3.314 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 3.314 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.314 * [taylor]: Taking taylor expansion of -1 in x 3.314 * [backup-simplify]: Simplify -1 into -1 3.314 * [taylor]: Taking taylor expansion of x in x 3.314 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 3.315 * [backup-simplify]: Simplify -1 into -1 3.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 3.316 * [taylor]: Taking taylor expansion of 0 in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 3.319 * [taylor]: Taking taylor expansion of 0 in x 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.320 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.323 * [taylor]: Taking taylor expansion of 0 in x 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 3.324 * * * [progress]: simplifying candidates 3.342 * [simplify]: Simplifying: (expm1 (/ (/ 1 1) (/ y (/ x y)))) (log1p (/ (/ 1 1) (/ y (/ x y)))) (- (- 0) (- (log y) (- (log x) (log y)))) (- (- 0) (- (log y) (log (/ x y)))) (- (- 0) (log (/ y (/ x y)))) (- (- (log 1)) (- (log y) (- (log x) (log y)))) (- (- (log 1)) (- (log y) (log (/ x y)))) (- (- (log 1)) (log (/ y (/ x y)))) (- (- 0 0) (- (log y) (- (log x) (log y)))) (- (- 0 0) (- (log y) (log (/ x y)))) (- (- 0 0) (log (/ y (/ x y)))) (- (- 0 (log 1)) (- (log y) (- (log x) (log y)))) (- (- 0 (log 1)) (- (log y) (log (/ x y)))) (- (- 0 (log 1)) (log (/ y (/ x y)))) (- (- (log 1) 0) (- (log y) (- (log x) (log y)))) (- (- (log 1) 0) (- (log y) (log (/ x y)))) (- (- (log 1) 0) (log (/ y (/ x y)))) (- (- (log 1) (log 1)) (- (log y) (- (log x) (log y)))) (- (- (log 1) (log 1)) (- (log y) (log (/ x y)))) (- (- (log 1) (log 1)) (log (/ y (/ x y)))) (- (log (/ 1 1)) (- (log y) (- (log x) (log y)))) (- (log (/ 1 1)) (- (log y) (log (/ x y)))) (- (log (/ 1 1)) (log (/ y (/ x y)))) (log (/ (/ 1 1) (/ y (/ x y)))) (exp (/ (/ 1 1) (/ y (/ x y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (/ (* (* y y) y) (/ (* (* x x) x) (* (* y y) y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (/ (* (* y y) y) (* (* (/ x y) (/ x y)) (/ x y)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ y (/ x y)))) (* (cbrt (/ (/ 1 1) (/ y (/ x y)))) (cbrt (/ (/ 1 1) (/ y (/ x y))))) (cbrt (/ (/ 1 1) (/ y (/ x y)))) (* (* (/ (/ 1 1) (/ y (/ x y))) (/ (/ 1 1) (/ y (/ x y)))) (/ (/ 1 1) (/ y (/ x y)))) (sqrt (/ (/ 1 1) (/ y (/ x y)))) (sqrt (/ (/ 1 1) (/ y (/ x y)))) (- (/ 1 1)) (- (/ y (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt (/ 1 1)) (cbrt (/ y (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (sqrt (/ y (/ x y)))) (/ (cbrt (/ 1 1)) (sqrt (/ y (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (cbrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (sqrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (cbrt x) y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ (sqrt x) y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ x (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ x (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt (/ 1 1)) (/ (cbrt y) (/ 1 y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (cbrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (sqrt (/ x y)))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (sqrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (cbrt x) y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ (sqrt x) 1))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ (sqrt x) y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ x (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ 1 (sqrt y)))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ x (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) (/ 1 1))) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) 1)) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ x y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ (sqrt y) x)) (/ (cbrt (/ 1 1)) (/ (sqrt y) (/ 1 y))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt (/ 1 1)) (/ y (cbrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (sqrt (/ x y)))) (/ (cbrt (/ 1 1)) (/ y (sqrt (/ x y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt (/ 1 1)) (/ y (/ (cbrt x) (cbrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt (/ 1 1)) (/ y (/ (cbrt x) (sqrt y)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt (/ 1 1)) (/ y (/ (cbrt x) y))) (/ (* (cbrt (/ 1 1)) 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(/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 3.367 * * [simplify]: iteration 0: 1176 enodes 6.898 * * [simplify]: iteration 1: 4894 enodes 7.518 * * [simplify]: iteration complete: 5001 enodes 7.519 * * [simplify]: Extracting #0: cost 220 inf + 0 7.523 * * [simplify]: Extracting #1: cost 1695 inf + 10 7.528 * * [simplify]: Extracting #2: cost 1034 inf + 2962 7.533 * * [simplify]: Extracting #3: cost 292 inf + 8892 7.542 * * [simplify]: Extracting #4: cost 6 inf + 12064 7.549 * * [simplify]: Extracting #5: cost 0 inf + 12129 7.563 * [simplify]: Simplified to: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ x y)))) (- (log (/ y (/ 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(/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (/ (sqrt (/ x y)) (cbrt y))) (/ (cbrt y) (sqrt (/ x y))) (/ (* (cbrt y) (cbrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (cbrt y) (/ (cbrt x) (cbrt y))) (/ (cbrt y) (/ (/ (cbrt x) (/ (sqrt y) (cbrt x))) (cbrt y))) (/ (cbrt y) (/ (cbrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))) (* (/ (cbrt y) (cbrt x)) y) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ (cbrt y) (sqrt x)) (cbrt y)) (/ (cbrt y) (/ (/ (sqrt x) (sqrt y)) (cbrt y))) (/ (cbrt y) (/ (sqrt x) (sqrt y))) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (* (/ (cbrt y) (sqrt x)) y) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ x (cbrt y))) (/ (cbrt y) (/ (/ 1 (sqrt y)) (cbrt y))) (* (/ (cbrt y) x) (sqrt y)) (* (cbrt y) (cbrt y)) (* (/ (cbrt y) x) y) (* (cbrt y) (cbrt y)) (* (/ (cbrt y) x) y) (/ (cbrt y) (/ x (cbrt y))) (/ (cbrt y) (/ 1 y)) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt y) (cbrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (sqrt y) (cbrt x)) (cbrt y)) (/ (sqrt y) (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ (sqrt y) (/ (cbrt x) (sqrt y))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) (sqrt x)) (cbrt y)) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (sqrt x)) (/ (sqrt y) (/ (sqrt x) y)) (* (/ (sqrt y) 1) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) x) (cbrt y)) (* (/ (sqrt y) 1) (sqrt y)) (* (/ (sqrt y) x) (sqrt y)) (sqrt y) (/ (sqrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (/ (sqrt y) (/ 1 y)) (/ (/ 1 (cbrt (/ x y))) (cbrt (/ x y))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ 1 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ y (cbrt x)) (cbrt y)) (/ 1 (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (* (/ y (cbrt x)) (sqrt y)) (/ 1 (* (cbrt x) (cbrt x))) (* (/ y (cbrt x)) y) (* (/ 1 (sqrt x)) (* (cbrt y) (cbrt y))) (* (/ y (sqrt x)) (cbrt y)) (/ 1 (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (* (/ y (sqrt x)) y) (* (cbrt y) (cbrt y)) (* (/ y x) (cbrt y)) (sqrt y) (* (/ y x) (sqrt y)) 1 (/ y (/ x y)) 1 (/ y (/ x y)) (/ 1 x) (* (/ y 1) y) (/ 1 (/ x y)) (/ (/ x y) y) (/ (/ y (cbrt (/ x y))) (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ y (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ y (* (cbrt x) (cbrt x))) (* (/ y (sqrt x)) (* (cbrt y) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (sqrt x)) (* (/ y 1) (* (cbrt y) (cbrt y))) (/ y (/ 1 (sqrt y))) y y (/ y x) (/ (/ x y) (cbrt y)) (/ x (* (sqrt y) y)) (/ (/ x y) y) (/ y x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) 7.570 * * * [progress]: adding candidates to table 8.630 * [progress]: [Phase 3 of 3] Extracting. 8.630 * * [regime]: Finding splitpoints for: (# # # # # # # #) 8.630 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 8.630 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 8.689 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # # # #) 8.740 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 8.806 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 8.867 * * * [regime]: Found split indices: #