18.005 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ (- x y) x) 0.023 * * [simplify]: iteration 0 : 9 enodes (cost 2 ) 0.025 * * [simplify]: iteration 1 : 13 enodes (cost 2 ) 0.026 * * [simplify]: iteration 2 : 17 enodes (cost 2 ) 0.028 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.028 * [simplify]: Simplified to: (/ (- x y) x) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [approximate]: Taking taylor expansion of (/ (- x y) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 0.040 * [taylor]: Taking taylor expansion of (- x y) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.040 * [taylor]: Taking taylor expansion of (- x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.040 * [taylor]: Taking taylor expansion of (- x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.040 * [taylor]: Taking taylor expansion of -1 in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.046 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.046 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.046 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [approximate]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in y 0.055 * [taylor]: Taking taylor expansion of -1 in y 0.055 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.055 * [taylor]: Taking taylor expansion of -1 in x 0.055 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 1 in y 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.067 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying using # : (- (log (- x y)) (log x)) (log (/ (- x y) x)) (exp (/ (- x y) x)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* x x) x)) (* (cbrt (/ (- x y) x)) (cbrt (/ (- x y) x))) (cbrt (/ (- x y) x)) (* (* (/ (- x y) x) (/ (- x y) x)) (/ (- x y) x)) (sqrt (/ (- x y) x)) (sqrt (/ (- x y) x)) (- (- x y)) (- x) (/ x x) (/ y x) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (- x y)) (cbrt x)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt x)) (/ (cbrt (- x y)) (sqrt x)) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) x) (/ (sqrt (- x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (- x y)) (cbrt x)) (/ (sqrt (- x y)) (sqrt x)) (/ (sqrt (- x y)) (sqrt x)) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) (/ 1 1) (/ (- x y) x) (/ (+ (sqrt x) (sqrt y)) (* (cbrt x) (cbrt x))) (/ (- (sqrt x) (sqrt y)) (cbrt x)) (/ (+ (sqrt x) (sqrt y)) (sqrt x)) (/ (- (sqrt x) (sqrt y)) (sqrt x)) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) (/ 1 1) (/ (- x y) x) (/ 1 x) (/ x (- x y)) (/ (- x y) (* (cbrt x) (cbrt x))) (/ (- x y) (sqrt x)) (/ (- x y) 1) (/ x (cbrt (- x y))) (/ x (sqrt (- x y))) (/ x (- x y)) (/ x (- (sqrt x) (sqrt y))) (/ x (- x y)) (* x (+ (* x x) (+ (* y y) (* x y)))) (* x (+ x y)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.072 * * [simplify]: iteration 0 : 148 enodes (cost 196 ) 0.074 * * [simplify]: iteration 1 : 447 enodes (cost 186 ) 0.083 * * [simplify]: iteration 2 : 2039 enodes (cost 185 ) 0.125 * * [simplify]: iteration 3 : 5001 enodes (cost 185 ) 0.126 * [simplify]: Simplified to: (log (/ (- x y) x)) (log (/ (- x y) x)) (exp (/ (- x y) x)) (pow (- 1 (/ y x)) 3) (* (cbrt (/ (- x y) x)) (cbrt (/ (- x y) x))) (cbrt (/ (- x y) x)) (pow (- 1 (/ y x)) 3) (sqrt (/ (- x y) x)) (sqrt (/ (- x y) x)) (- (- x y)) (- x) 1 (/ y x) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (- x y)) (cbrt x)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt x)) (/ (cbrt (- x y)) (sqrt x)) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) x) (/ (sqrt (- x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (- x y)) (cbrt x)) (/ (sqrt (- x y)) (sqrt x)) (/ (sqrt (- x y)) (sqrt x)) (sqrt (- x y)) (/ (sqrt (- x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) 1 (- 1 (/ y x)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt x) (cbrt x))) (/ (- (sqrt x) (sqrt y)) (cbrt x)) (/ (+ (sqrt x) (sqrt y)) (sqrt x)) (- 1 (/ (sqrt y) (sqrt x))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) 1 (- 1 (/ y x)) (/ 1 x) (/ x (- x y)) (/ (- x y) (* (cbrt x) (cbrt x))) (/ (- x y) (sqrt x)) (- x y) (/ x (cbrt (- x y))) (/ x (sqrt (- x y))) (/ x (- x y)) (/ x (- (sqrt x) (sqrt y))) (/ x (- x y)) (* (+ (* y (+ y x)) (* x x)) x) (* x (+ x y)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.126 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.192 * * * [progress]: generating rewritten candidates 0.192 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.198 * * * [progress]: generating series expansions 0.198 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.198 * [approximate]: Taking taylor expansion of (- 1 (/ y x)) in (y x) around 0 0.198 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in x 0.198 * [taylor]: Taking taylor expansion of 1 in x 0.198 * [taylor]: Taking taylor expansion of (/ y x) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in y 0.199 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [taylor]: Taking taylor expansion of (/ y x) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in y 0.199 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [taylor]: Taking taylor expansion of (/ y x) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of 1 in x 0.199 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of 0 in x 0.201 * [taylor]: Taking taylor expansion of 0 in x 0.203 * [taylor]: Taking taylor expansion of 0 in x 0.203 * [approximate]: Taking taylor expansion of (- 1 (/ x y)) in (y x) around 0 0.203 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in x 0.203 * [taylor]: Taking taylor expansion of 1 in x 0.203 * [taylor]: Taking taylor expansion of (/ x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.203 * [taylor]: Taking taylor expansion of 1 in y 0.203 * [taylor]: Taking taylor expansion of (/ x y) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.203 * [taylor]: Taking taylor expansion of 1 in y 0.203 * [taylor]: Taking taylor expansion of (/ x y) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (- x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 1 in x 0.206 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [approximate]: Taking taylor expansion of (- 1 (/ x y)) in (y x) around 0 0.208 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in x 0.208 * [taylor]: Taking taylor expansion of 1 in x 0.208 * [taylor]: Taking taylor expansion of (/ x y) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of (/ x y) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of (/ x y) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (- x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of 1 in x 0.211 * [taylor]: Taking taylor expansion of 0 in x 0.212 * [taylor]: Taking taylor expansion of 0 in x 0.213 * * * [progress]: simplifying candidates 0.213 * [simplify]: Simplifying using # : (/ (exp 1) (exp (/ y x))) (log (- 1 (/ y x))) (exp (- 1 (/ y x))) (* (cbrt (- 1 (/ y x))) (cbrt (- 1 (/ y x)))) (cbrt (- 1 (/ y x))) (* (* (- 1 (/ y x)) (- 1 (/ y x))) (- 1 (/ y x))) (sqrt (- 1 (/ y x))) (sqrt (- 1 (/ y x))) (- (pow 1 3) (pow (/ y x) 3)) (+ (* 1 1) (+ (* (/ y x) (/ y x)) (* 1 (/ y x)))) (- (/ y x)) (- (* 1 1) (* (/ y x) (/ y x))) (+ 1 (/ y x)) (+ (sqrt 1) (sqrt (/ y x))) (- (sqrt 1) (sqrt (/ y x))) (+ (sqrt 1) (/ (sqrt y) (sqrt x))) (- (sqrt 1) (/ (sqrt y) (sqrt x))) (+ 1 (sqrt (/ y x))) (- 1 (sqrt (/ y x))) (+ 1 (/ (sqrt y) (sqrt x))) (- 1 (/ (sqrt y) (sqrt x))) (- 1 (/ y x)) (- (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.216 * * [simplify]: iteration 0 : 88 enodes (cost 91 ) 0.218 * * [simplify]: iteration 1 : 318 enodes (cost 82 ) 0.223 * * [simplify]: iteration 2 : 806 enodes (cost 82 ) 0.238 * * [simplify]: iteration 3 : 2741 enodes (cost 82 ) 0.291 * * [simplify]: iteration 4 : 5003 enodes (cost 82 ) 0.292 * [simplify]: Simplified to: (exp (- 1 (/ y x))) (log (- 1 (/ y x))) (exp (- 1 (/ y x))) (* (cbrt (- 1 (/ y x))) (cbrt (- 1 (/ y x)))) (cbrt (- 1 (/ y x))) (pow (- 1 (/ y x)) 3) (sqrt (- 1 (/ y x))) (sqrt (- 1 (/ y x))) (- 1 (pow (/ y x) 3)) (+ (* (/ y x) (+ (/ y x) 1)) 1) (- (/ y x)) (- 1 (* (/ y x) (/ y x))) (+ 1 (/ y x)) (+ 1 (sqrt (/ y x))) (- 1 (sqrt (/ y x))) (+ 1 (/ (sqrt y) (sqrt x))) (- 1 (/ (sqrt y) (sqrt x))) (+ 1 (sqrt (/ y x))) (- 1 (sqrt (/ y x))) (+ 1 (/ (sqrt y) (sqrt x))) (- 1 (/ (sqrt y) (sqrt x))) (- 1 (/ y x)) (- (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.292 * * * [progress]: adding candidates to table 0.318 * [progress]: [Phase 3 of 3] Extracting. 0.318 * * [regime]: Finding splitpoints for: (# #) 0.318 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- x y) x) y x) 0.318 * * * * [regimes]: Trying to branch on (/ (- x y) x) from (# #) 0.327 * * * * [regimes]: Trying to branch on y from (# #) 0.338 * * * * [regimes]: Trying to branch on x from (# #) 0.348 * * * [regime]: Found split indices: #