15.194 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.017 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.018 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 7 ) 0.020 * * [simplify]: iteration done : 11 enodes (cost 7 ) 0.020 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.030 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.044 * [taylor]: Taking taylor expansion of -1 in y 0.044 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.045 * [taylor]: Taking taylor expansion of -1 in x 0.045 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.045 * [taylor]: Taking taylor expansion of -1 in x 0.045 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * * * [progress]: simplifying candidates 0.054 * [simplify]: Simplifying using # : (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)) 0.055 * * [simplify]: iteration 0 : 45 enodes (cost 197 ) 0.062 * * [simplify]: iteration 1 : 97 enodes (cost 194 ) 0.086 * * [simplify]: iteration 2 : 279 enodes (cost 164 ) 0.245 * * [simplify]: iteration 3 : 1008 enodes (cost 164 ) 2.259 * * [simplify]: iteration 4 : 3825 enodes (cost 164 ) 3.050 * * [simplify]: iteration done : 5000 enodes (cost 164 ) 3.051 * [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 (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (pow y 2)) 3) (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)) 3.051 * * * [progress]: adding candidates to table 3.101 * * [progress]: iteration 2 / 4 3.101 * * * [progress]: picking best candidate 3.105 * * * * [pick]: Picked # 3.105 * * * [progress]: localizing error 3.110 * * * [progress]: generating rewritten candidates 3.110 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.119 * * * [progress]: generating series expansions 3.119 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.119 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 3.119 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.119 * [taylor]: Taking taylor expansion of x in y 3.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.119 * [taylor]: Taking taylor expansion of y in y 3.120 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.120 * [taylor]: Taking taylor expansion of x in x 3.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.120 * [taylor]: Taking taylor expansion of y in x 3.120 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.120 * [taylor]: Taking taylor expansion of x in x 3.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.120 * [taylor]: Taking taylor expansion of y in x 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.120 * [taylor]: Taking taylor expansion of y in y 3.121 * [taylor]: Taking taylor expansion of 0 in y 3.122 * [taylor]: Taking taylor expansion of 0 in y 3.124 * [taylor]: Taking taylor expansion of 0 in y 3.126 * [taylor]: Taking taylor expansion of 0 in y 3.127 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 3.127 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.127 * [taylor]: Taking taylor expansion of y in y 3.127 * [taylor]: Taking taylor expansion of x in y 3.127 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.127 * [taylor]: Taking taylor expansion of y in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.127 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.127 * [taylor]: Taking taylor expansion of y in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.127 * [taylor]: Taking taylor expansion of y in y 3.128 * [taylor]: Taking taylor expansion of 0 in y 3.130 * [taylor]: Taking taylor expansion of 0 in y 3.132 * [taylor]: Taking taylor expansion of 0 in y 3.132 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 3.132 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.132 * [taylor]: Taking taylor expansion of -1 in y 3.132 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.132 * [taylor]: Taking taylor expansion of y in y 3.132 * [taylor]: Taking taylor expansion of x in y 3.133 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.133 * [taylor]: Taking taylor expansion of -1 in x 3.133 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.133 * [taylor]: Taking taylor expansion of y in x 3.133 * [taylor]: Taking taylor expansion of x in x 3.133 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.133 * [taylor]: Taking taylor expansion of -1 in x 3.133 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.133 * [taylor]: Taking taylor expansion of y in x 3.133 * [taylor]: Taking taylor expansion of x in x 3.133 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 3.133 * [taylor]: Taking taylor expansion of -1 in y 3.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.133 * [taylor]: Taking taylor expansion of y in y 3.135 * [taylor]: Taking taylor expansion of 0 in y 3.137 * [taylor]: Taking taylor expansion of 0 in y 3.141 * [taylor]: Taking taylor expansion of 0 in y 3.141 * * * [progress]: simplifying candidates 3.142 * [simplify]: Simplifying using # : (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)) 3.146 * * [simplify]: iteration 0 : 142 enodes (cost 874 ) 3.183 * * [simplify]: iteration 1 : 313 enodes (cost 825 ) 3.271 * * [simplify]: iteration 2 : 748 enodes (cost 769 ) 3.750 * * [simplify]: iteration 3 : 2115 enodes (cost 757 ) 5.270 * * [simplify]: iteration done : 5000 enodes (cost 757 ) 5.270 * [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 (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ x (pow y 2)) 3) (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))) (/ (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)) (pow (cbrt y) 3)) (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))) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y) (/ (sqrt x) (* (cbrt y) (pow (cbrt y) 3))) (/ (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))) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ (/ (sqrt x) y) y) (/ 1 (* (cbrt y) (pow (cbrt y) 3))) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) y) (/ 1 (sqrt y)) (/ (/ x (sqrt y)) y) 1 (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) y) (/ 1 (sqrt y)) (/ (/ x (sqrt y)) y) 1 (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) x (/ (/ 1 y) y) (/ 1 y) (* (/ y x) y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) y) (/ x y) (/ 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) (pow y 2) (pow y 2) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 5.271 * * * [progress]: adding candidates to table 5.410 * * [progress]: iteration 3 / 4 5.410 * * * [progress]: picking best candidate 5.416 * * * * [pick]: Picked # 5.416 * * * [progress]: localizing error 5.423 * * * [progress]: generating rewritten candidates 5.423 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 5.434 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 5.446 * * * [progress]: generating series expansions 5.446 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 5.447 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 5.447 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 5.447 * [taylor]: Taking taylor expansion of x in x 5.447 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.447 * [taylor]: Taking taylor expansion of y in x 5.447 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 5.447 * [taylor]: Taking taylor expansion of x in y 5.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.447 * [taylor]: Taking taylor expansion of y in y 5.447 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 5.447 * [taylor]: Taking taylor expansion of x in y 5.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.447 * [taylor]: Taking taylor expansion of y in y 5.448 * [taylor]: Taking taylor expansion of x in x 5.449 * [taylor]: Taking taylor expansion of 0 in x 5.450 * [taylor]: Taking taylor expansion of 0 in x 5.452 * [taylor]: Taking taylor expansion of 0 in x 5.452 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 5.452 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 5.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.452 * [taylor]: Taking taylor expansion of y in x 5.452 * [taylor]: Taking taylor expansion of x in x 5.452 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 5.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.452 * [taylor]: Taking taylor expansion of y in y 5.452 * [taylor]: Taking taylor expansion of x in y 5.453 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 5.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.453 * [taylor]: Taking taylor expansion of y in y 5.453 * [taylor]: Taking taylor expansion of x in y 5.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.453 * [taylor]: Taking taylor expansion of x in x 5.454 * [taylor]: Taking taylor expansion of 0 in x 5.455 * [taylor]: Taking taylor expansion of 0 in x 5.456 * [taylor]: Taking taylor expansion of 0 in x 5.457 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 5.457 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 5.457 * [taylor]: Taking taylor expansion of -1 in x 5.457 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 5.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.457 * [taylor]: Taking taylor expansion of y in x 5.457 * [taylor]: Taking taylor expansion of x in x 5.458 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 5.458 * [taylor]: Taking taylor expansion of -1 in y 5.458 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 5.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.458 * [taylor]: Taking taylor expansion of y in y 5.458 * [taylor]: Taking taylor expansion of x in y 5.458 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 5.458 * [taylor]: Taking taylor expansion of -1 in y 5.458 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 5.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.458 * [taylor]: Taking taylor expansion of y in y 5.458 * [taylor]: Taking taylor expansion of x in y 5.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.459 * [taylor]: Taking taylor expansion of -1 in x 5.459 * [taylor]: Taking taylor expansion of x in x 5.460 * [taylor]: Taking taylor expansion of 0 in x 5.462 * [taylor]: Taking taylor expansion of 0 in x 5.464 * [taylor]: Taking taylor expansion of 0 in x 5.464 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 5.465 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 5.465 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 5.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.465 * [taylor]: Taking taylor expansion of y in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.465 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 5.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.465 * [taylor]: Taking taylor expansion of y in y 5.465 * [taylor]: Taking taylor expansion of x in y 5.465 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 5.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.465 * [taylor]: Taking taylor expansion of y in y 5.465 * [taylor]: Taking taylor expansion of x in y 5.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.466 * [taylor]: Taking taylor expansion of x in x 5.466 * [taylor]: Taking taylor expansion of 0 in x 5.467 * [taylor]: Taking taylor expansion of 0 in x 5.469 * [taylor]: Taking taylor expansion of 0 in x 5.469 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 5.469 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 5.469 * [taylor]: Taking taylor expansion of x in x 5.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.470 * [taylor]: Taking taylor expansion of y in x 5.470 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 5.470 * [taylor]: Taking taylor expansion of x in y 5.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.470 * [taylor]: Taking taylor expansion of y in y 5.470 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 5.470 * [taylor]: Taking taylor expansion of x in y 5.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.470 * [taylor]: Taking taylor expansion of y in y 5.470 * [taylor]: Taking taylor expansion of x in x 5.471 * [taylor]: Taking taylor expansion of 0 in x 5.473 * [taylor]: Taking taylor expansion of 0 in x 5.474 * [taylor]: Taking taylor expansion of 0 in x 5.475 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 5.475 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 5.475 * [taylor]: Taking taylor expansion of -1 in x 5.475 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 5.475 * [taylor]: Taking taylor expansion of x in x 5.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.475 * [taylor]: Taking taylor expansion of y in x 5.475 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 5.475 * [taylor]: Taking taylor expansion of -1 in y 5.475 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 5.475 * [taylor]: Taking taylor expansion of x in y 5.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.475 * [taylor]: Taking taylor expansion of y in y 5.475 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 5.475 * [taylor]: Taking taylor expansion of -1 in y 5.475 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 5.475 * [taylor]: Taking taylor expansion of x in y 5.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.475 * [taylor]: Taking taylor expansion of y in y 5.476 * [taylor]: Taking taylor expansion of (* -1 x) in x 5.476 * [taylor]: Taking taylor expansion of -1 in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.477 * [taylor]: Taking taylor expansion of 0 in x 5.480 * [taylor]: Taking taylor expansion of 0 in x 5.483 * [taylor]: Taking taylor expansion of 0 in x 5.483 * * * [progress]: simplifying candidates 5.484 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 1) (* (/ y x) y))) (log1p (/ (/ 1 1) (* (/ y x) y))) (- (- 0) (+ (- (log y) (log x)) (log y))) (- (- 0) (+ (log (/ y x)) (log y))) (- (- 0) (log (* (/ y x) y))) (- (- (log 1)) (+ (- (log y) (log x)) (log y))) (- (- (log 1)) (+ (log (/ y x)) (log y))) (- (- (log 1)) (log (* (/ y x) y))) (- (- 0 0) (+ (- (log y) (log x)) (log y))) (- (- 0 0) (+ (log (/ y x)) (log y))) (- (- 0 0) (log (* (/ y x) y))) (- (- 0 (log 1)) (+ (- (log y) (log x)) (log y))) (- (- 0 (log 1)) (+ (log (/ y x)) (log y))) (- (- 0 (log 1)) (log (* (/ y x) y))) (- (- (log 1) 0) (+ (- (log y) (log x)) (log y))) (- (- (log 1) 0) (+ (log (/ y x)) (log y))) (- (- (log 1) 0) (log (* (/ y x) y))) (- (- (log 1) (log 1)) (+ (- (log y) (log x)) (log y))) (- (- (log 1) (log 1)) (+ (log (/ y x)) (log y))) (- (- (log 1) (log 1)) (log (* (/ y x) y))) (- (log (/ 1 1)) (+ (- (log y) (log x)) (log y))) (- (log (/ 1 1)) (+ (log (/ y x)) (log 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 x) (/ y x)) (/ y x)) (* (* y y) 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 x) (/ y x)) (/ y x)) (* (* y y) 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))) (/ y x)) (/ (cbrt (/ 1 1)) y) (/ (sqrt (/ 1 1)) (/ y x)) (/ (sqrt (/ 1 1)) y) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))) (/ y x)) (/ (/ (cbrt 1) (cbrt 1)) y) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ y x)) (/ (/ (cbrt 1) (sqrt 1)) y) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ y x)) (/ (/ (cbrt 1) 1) y) (/ (/ (sqrt 1) (* (cbrt 1) (cbrt 1))) (/ y x)) (/ (/ (sqrt 1) (cbrt 1)) y) (/ (/ (sqrt 1) (sqrt 1)) (/ y x)) (/ (/ (sqrt 1) (sqrt 1)) y) (/ (/ (sqrt 1) 1) (/ y x)) (/ (/ (sqrt 1) 1) y) (/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ y x)) (/ (/ 1 (cbrt 1)) y) (/ (/ 1 (sqrt 1)) (/ y x)) (/ (/ 1 (sqrt 1)) y) (/ (/ 1 1) (/ y x)) (/ (/ 1 1) y) (/ 1 (/ y x)) (/ (/ 1 1) y) (/ 1 (/ y x)) (/ (/ 1 1) y) (/ 1 (* (/ y x) y)) (/ (* (/ y x) y) (/ 1 1)) (/ (/ 1 1) (/ y x)) (/ (* (/ y x) y) (cbrt (/ 1 1))) (/ (* (/ y x) y) (sqrt (/ 1 1))) (/ (* (/ y x) y) (/ (cbrt 1) (cbrt 1))) (/ (* (/ y x) y) (/ (cbrt 1) (sqrt 1))) (/ (* (/ y x) y) (/ (cbrt 1) 1)) (/ (* (/ y x) y) (/ (sqrt 1) (cbrt 1))) (/ (* (/ y x) y) (/ (sqrt 1) (sqrt 1))) (/ (* (/ y x) y) (/ (sqrt 1) 1)) (/ (* (/ y x) y) (/ 1 (cbrt 1))) (/ (* (/ y x) y) (/ 1 (sqrt 1))) (/ (* (/ y x) y) (/ 1 1)) (/ (* (/ y x) y) (/ 1 1)) (/ (* (/ y x) y) (/ 1 1)) (/ (/ 1 1) (* y y)) (* (* (/ y x) y) 1) (expm1 (* (/ y x) y)) (log1p (* (/ y x) y)) (* (/ y x) y) (+ (- (log y) (log x)) (log y)) (+ (log (/ y x)) (log y)) (log (* (/ y x) y)) (exp (* (/ y x) y)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) y)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* y y) y)) (* (cbrt (* (/ y x) y)) (cbrt (* (/ y x) y))) (cbrt (* (/ y x) y)) (* (* (* (/ y x) y) (* (/ y x) y)) (* (/ y x) y)) (sqrt (* (/ y x) y)) (sqrt (* (/ y x) y)) (* (sqrt (/ y x)) (sqrt y)) (* (sqrt (/ y x)) (sqrt y)) (* (/ (sqrt y) (sqrt x)) (sqrt y)) (* (/ (sqrt y) (sqrt x)) (sqrt y)) (* (/ y x) (* (cbrt y) (cbrt y))) (* (/ y x) (sqrt y)) (* (/ y x) 1) (* (cbrt (/ y x)) y) (* (sqrt (/ y x)) y) (* (/ (cbrt y) (cbrt x)) y) (* (/ (cbrt y) (sqrt x)) y) (* (/ (cbrt y) x) y) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) y) (* (/ (sqrt y) x) y) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) y) (* (/ y x) y) (* (/ y x) y) (* (/ 1 x) y) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 5.489 * * [simplify]: iteration 0 : 175 enodes (cost 1206 ) 5.562 * * [simplify]: iteration 1 : 466 enodes (cost 892 ) 5.665 * * [simplify]: iteration 2 : 935 enodes (cost 728 ) 6.922 * * [simplify]: iteration 3 : 3212 enodes (cost 646 ) 8.205 * * [simplify]: iteration done : 5000 enodes (cost 646 ) 8.205 * [simplify]: Simplified to: (expm1 (/ x (pow y 2))) (log1p (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (exp (/ x (pow y 2))) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (* (cbrt (/ x (pow y 2))) (cbrt (/ x (pow y 2)))) (cbrt (/ x (pow y 2))) (pow (/ x (pow y 2)) 3) (sqrt (/ x (pow y 2))) (sqrt (/ x (pow y 2))) -1 (- (* (/ y x) y)) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x (pow y 2)) (/ y (/ x y)) (/ x y) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ (/ 1 y) y) (/ y (/ x y)) (expm1 (* (/ y x) y)) (log1p (* (/ y x) y)) (/ y (/ x y)) (log (* (/ y x) y)) (log (* (/ y x) y)) (log (* (/ y x) y)) (exp (* (/ y x) y)) (pow (/ y (/ x y)) 3) (pow (/ y (/ x y)) 3) (* (cbrt (* (/ y x) y)) (cbrt (* (/ y x) y))) (cbrt (* (/ y x) y)) (pow (/ y (/ x y)) 3) (sqrt (* (/ y x) y)) (sqrt (* (/ y x) y)) (* (sqrt (/ y x)) (sqrt y)) (* (sqrt (/ y x)) (sqrt y)) (/ y (sqrt x)) (/ y (sqrt x)) (* (/ y x) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) x) y) (/ y x) (* (cbrt (/ y x)) y) (* (sqrt (/ y x)) y) (* (/ (cbrt y) (cbrt x)) y) (* (/ (cbrt y) (sqrt x)) y) (* (/ (cbrt y) x) y) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) y) (* (/ (sqrt y) x) y) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) y) (/ y (/ x y)) (/ y (/ x y)) (/ y x) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) 8.206 * * * [progress]: adding candidates to table 8.361 * * [progress]: iteration 4 / 4 8.361 * * * [progress]: picking best candidate 8.366 * * * * [pick]: Picked # 8.366 * * * [progress]: localizing error 8.372 * * * [progress]: generating rewritten candidates 8.372 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 8.389 * * * [progress]: generating series expansions 8.389 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 8.389 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 8.389 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 8.389 * [taylor]: Taking taylor expansion of x in y 8.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.389 * [taylor]: Taking taylor expansion of y in y 8.390 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 8.390 * [taylor]: Taking taylor expansion of x in x 8.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.390 * [taylor]: Taking taylor expansion of y in x 8.390 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 8.390 * [taylor]: Taking taylor expansion of x in x 8.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.390 * [taylor]: Taking taylor expansion of y in x 8.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.390 * [taylor]: Taking taylor expansion of y in y 8.391 * [taylor]: Taking taylor expansion of 0 in y 8.392 * [taylor]: Taking taylor expansion of 0 in y 8.394 * [taylor]: Taking taylor expansion of 0 in y 8.397 * [taylor]: Taking taylor expansion of 0 in y 8.397 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 8.397 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 8.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.397 * [taylor]: Taking taylor expansion of y in y 8.397 * [taylor]: Taking taylor expansion of x in y 8.397 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 8.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.397 * [taylor]: Taking taylor expansion of y in x 8.397 * [taylor]: Taking taylor expansion of x in x 8.397 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 8.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.397 * [taylor]: Taking taylor expansion of y in x 8.397 * [taylor]: Taking taylor expansion of x in x 8.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.398 * [taylor]: Taking taylor expansion of y in y 8.398 * [taylor]: Taking taylor expansion of 0 in y 8.400 * [taylor]: Taking taylor expansion of 0 in y 8.402 * [taylor]: Taking taylor expansion of 0 in y 8.403 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 8.403 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 8.403 * [taylor]: Taking taylor expansion of -1 in y 8.403 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 8.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.403 * [taylor]: Taking taylor expansion of y in y 8.403 * [taylor]: Taking taylor expansion of x in y 8.403 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 8.403 * [taylor]: Taking taylor expansion of -1 in x 8.403 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 8.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.403 * [taylor]: Taking taylor expansion of y in x 8.403 * [taylor]: Taking taylor expansion of x in x 8.403 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 8.403 * [taylor]: Taking taylor expansion of -1 in x 8.403 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 8.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.403 * [taylor]: Taking taylor expansion of y in x 8.403 * [taylor]: Taking taylor expansion of x in x 8.403 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 8.403 * [taylor]: Taking taylor expansion of -1 in y 8.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.404 * [taylor]: Taking taylor expansion of y in y 8.405 * [taylor]: Taking taylor expansion of 0 in y 8.408 * [taylor]: Taking taylor expansion of 0 in y 8.411 * [taylor]: Taking taylor expansion of 0 in y 8.411 * * * [progress]: simplifying candidates 8.412 * [simplify]: Simplifying using # : (expm1 (* (/ x y) (/ 1 y))) (log1p (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y)) (+ (- (log x) (log y)) (- (log y))) (+ (- (log x) (log y)) (- 0 (log y))) (+ (- (log x) (log y)) (- (log 1) (log y))) (+ (- (log x) (log y)) (log (/ 1 y))) (+ (log (/ x y)) (- (log y))) (+ (log (/ x y)) (- 0 (log y))) (+ (log (/ x y)) (- (log 1) (log y))) (+ (log (/ x y)) (log (/ 1 y))) (log (* (/ x y) (/ 1 y))) (exp (* (/ x y) (/ 1 y))) (* (/ (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (/ (* (* x x) x) (* (* y y) y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y)))) (cbrt (* (/ x y) (/ 1 y))) (* (* (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (* x 1) (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ x y) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt 1) (sqrt y))) (* (/ x y) (/ (sqrt 1) 1)) (* (/ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x y) (/ 1 (sqrt y))) (* (/ x y) (/ 1 1)) (* (/ x y) 1) (* (/ x y) 1) (* (cbrt (/ x y)) (/ 1 y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ 1 y)) (* (/ (cbrt x) (sqrt y)) (/ 1 y)) (* (/ (cbrt x) y) (/ 1 y)) (* (/ (sqrt x) (cbrt y)) (/ 1 y)) (* (/ (sqrt x) (sqrt y)) (/ 1 y)) (* (/ (sqrt x) y) (/ 1 y)) (* (/ x (cbrt y)) (/ 1 y)) (* (/ x (sqrt y)) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ 1 y) (/ 1 y)) (* (/ x y) 1) (* x (/ 1 y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 8.415 * * [simplify]: iteration 0 : 112 enodes (cost 649 ) 8.451 * * [simplify]: iteration 1 : 328 enodes (cost 526 ) 8.532 * * [simplify]: iteration 2 : 851 enodes (cost 426 ) 10.124 * * [simplify]: iteration 3 : 3121 enodes (cost 418 ) 11.112 * * [simplify]: iteration done : 5000 enodes (cost 418 ) 11.113 * [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 (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ x (pow y 2)) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) x (pow y 2) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt x) (pow y 1)) (/ (sqrt x) (pow y 1)) (/ (sqrt x) (pow y 1)) (/ (sqrt x) (pow y 1)) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ x y) (/ x y) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) y) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) y) y) (/ x (* (cbrt y) y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ (/ 1 y) y) (/ x y) (/ x y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 11.113 * * * [progress]: adding candidates to table 11.225 * [progress]: [Phase 3 of 3] Extracting. 11.225 * * [regime]: Finding splitpoints for: (# # # # #) 11.226 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 11.226 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 11.242 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # #) 11.262 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # #) 11.278 * * * * [regimes]: Trying to branch on y from (# # # # #) 11.295 * * * * [regimes]: Trying to branch on x from (# # # # #) 11.316 * * * [regime]: Found split indices: #