14.318 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.027 * * [simplify]: iteration 0 : 18 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 48 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 106 enodes (cost 4 ) 0.034 * * [simplify]: iteration 3 : 174 enodes (cost 4 ) 0.037 * * [simplify]: iteration 4 : 198 enodes (cost 4 ) 0.041 * * [simplify]: iteration 5 : 203 enodes (cost 4 ) 0.044 * * [simplify]: iteration 6 : 203 enodes (cost 4 ) 0.044 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.063 * [taylor]: Taking taylor expansion of 0.5 in y 0.063 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.063 * [taylor]: Taking taylor expansion of (- x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (* x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (- x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.065 * [taylor]: Taking taylor expansion of (- x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (* x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of -0.5 in y 0.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.067 * [taylor]: Taking taylor expansion of 0.5 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.077 * [taylor]: Taking taylor expansion of 0.5 in y 0.077 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (* x y) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.077 * [taylor]: Taking taylor expansion of 0.5 in x 0.077 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.078 * [taylor]: Taking taylor expansion of 0.5 in x 0.078 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.080 * [taylor]: Taking taylor expansion of 0.5 in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.083 * [taylor]: Taking taylor expansion of 0.5 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.100 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.100 * [taylor]: Taking taylor expansion of 0.5 in y 0.100 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.101 * [taylor]: Taking taylor expansion of 0.5 in x 0.101 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.101 * [taylor]: Taking taylor expansion of 0.5 in x 0.101 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.104 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.104 * [taylor]: Taking taylor expansion of 0.5 in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 0.5 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * * * [progress]: simplifying candidates 0.121 * [simplify]: Simplifying using # : (expm1 (/ (- x y) (* (* x 2.0) y))) (log1p (/ (- x y) (* (* x 2.0) y))) (- (log (- x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (- x y)) (+ (log (* x 2.0)) (log y))) (- (log (- x y)) (log (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (exp (/ (- x y) (* (* x 2.0) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (- x y) (* (* x 2.0) y))) (cbrt (/ (- x y) (* (* x 2.0) y)))) (cbrt (/ (- x y) (* (* x 2.0) y))) (* (* (/ (- x y) (* (* x 2.0) y)) (/ (- x y) (* (* x 2.0) y))) (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (- (- x y)) (- (* (* x 2.0) y)) (/ x (* (* x 2.0) y)) (/ y (* (* x 2.0) y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (- x y)) (/ (- x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (- x y))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) (- x y)) (* (* (* x 2.0) y) (+ (* x x) (+ (* y y) (* x y)))) (* (* (* x 2.0) y) (+ x y)) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.125 * * [simplify]: iteration 0 : 242 enodes (cost 218 ) 0.131 * * [simplify]: iteration 1 : 990 enodes (cost 181 ) 0.153 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.154 * [simplify]: Simplified to: (expm1 (/ (- x y) (* (* x 2.0) y))) (log1p (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (exp (/ (- x y) (* (* x 2.0) y))) (pow (/ (- x y) (* (* x 2.0) y)) 3) (pow (/ (- x y) (* (* x 2.0) y)) 3) (pow (/ (- x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (- x y) (* (* x 2.0) y))) (cbrt (/ (- x y) (* (* x 2.0) y)))) (cbrt (/ (- x y) (* (* x 2.0) y))) (pow (/ (- x y) (* (* x 2.0) y)) 3) (sqrt (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (- (- x y)) (- (* (* x 2.0) y)) (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (- x y)) (/ (- x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (- x y))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) (- x y)) (* (* x 2.0) (* y (fma x x (fma y y (* x y))))) (* (* (* x 2.0) y) (+ x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.154 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.213 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.259 * * * [progress]: generating series expansions 0.259 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.259 * [approximate]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in (y x) around 0 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of 1 in x 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of 0 in x 0.265 * [taylor]: Taking taylor expansion of 0 in x 0.266 * [taylor]: Taking taylor expansion of 0 in x 0.267 * [approximate]: Taking taylor expansion of (- y x) in (y x) around 0 0.267 * [taylor]: Taking taylor expansion of (- y x) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (- y x) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (- y x) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (- x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [taylor]: Taking taylor expansion of 0 in x 0.269 * [taylor]: Taking taylor expansion of 0 in x 0.269 * [approximate]: Taking taylor expansion of (- x y) in (y x) around 0 0.270 * [taylor]: Taking taylor expansion of (- x y) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (- x y) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (- x y) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of -1 in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.272 * * * [progress]: simplifying candidates 0.276 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))))) (fma (- (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x))))) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt 1) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1) (cbrt x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (cbrt 1) (sqrt x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))))) (fma (- (/ (cbrt 1) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) (* (/ (cbrt 1) (sqrt x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1)))) (fma (- (/ (cbrt 1) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt 1) (cbrt x))) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1) (cbrt x)) (/ (sqrt 1) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (sqrt 1) (sqrt x)) (/ (sqrt 1) (sqrt x))))) (fma (- (/ (sqrt 1) (sqrt x))) (/ (sqrt 1) (sqrt x)) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt 1) (sqrt x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ (sqrt 1) x) (/ (sqrt 1) 1)))) (fma (- (/ (sqrt 1) x)) (/ (sqrt 1) 1) (* (/ (sqrt 1) x) (/ (sqrt 1) 1))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ 1 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 1 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ 1 (sqrt x))) (/ 1 (sqrt x)) (* (/ 1 (sqrt x)) (/ 1 (sqrt x)))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 x) (/ 1 1)))) (fma (- (/ 1 x)) (/ 1 1) (* (/ 1 x) (/ 1 1))) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 x) 1))) (fma (- (/ 1 x)) 1 (* (/ 1 x) 1)) (fma (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y)) (- (* (/ 1 x) 1))) (fma (- (/ 1 x)) 1 (* (/ 1 x) 1)) (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))))) (fma (- (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (* (cbrt (/ 1 x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x))))) (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x))))) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) (fma (sqrt (/ 1 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0.292 * * [simplify]: iteration 0 : 632 enodes (cost 4575 ) 0.301 * * [simplify]: iteration 1 : 1668 enodes (cost 2587 ) 0.319 * * [simplify]: iteration 2 : 4521 enodes (cost 2326 ) 0.369 * * [simplify]: iteration 3 : 5001 enodes (cost 2232 ) 0.379 * [simplify]: Simplified to: (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (pow (cbrt (/ 1 y)) 3)) (/ (+ (- 1) 1) x) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (pow (cbrt (/ 1 y)) 3)) (/ (+ (- 1) 1) x) (fma (/ (- (/ 1 (cbrt x))) (* (cbrt x) (cbrt x))) 1 (pow (cbrt (/ 1 y)) 3)) (- (pow (/ 1 (cbrt x)) 3) (pow (/ 1 (cbrt x)) 3)) (fma (/ (- (/ 1 (sqrt x))) (sqrt x)) 1 (pow (cbrt (/ 1 y)) 3)) (* (/ 1 (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (fma (- (sqrt (/ 1 x))) (sqrt (/ 1 x)) (pow (cbrt (/ 1 y)) 3)) (/ (+ (- 1) 1) x) (fma (/ (- (/ 1 (cbrt x))) (* (cbrt x) (cbrt x))) 1 (pow (cbrt (/ 1 y)) 3)) (- (pow (/ 1 (cbrt x)) 3) (pow (/ 1 (cbrt x)) 3)) (fma (/ (- (/ 1 (sqrt x))) (sqrt x)) 1 (pow (cbrt (/ 1 y)) 3)) (* (/ 1 (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 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x))) (* (cbrt (- (/ 1 y) (/ 1 x))) (cbrt (- (/ 1 y) (/ 1 x)))) (cbrt (- (/ 1 y) (/ 1 x))) (pow (- (/ 1 y) (/ 1 x)) 3) (sqrt (- (/ 1 y) (/ 1 x))) (sqrt (- (/ 1 y) (/ 1 x))) (fma (- 1) y x) (* y x) (- (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (fma (+ (/ 1 y) (/ 1 x)) (/ 1 x) (/ (/ 1 y) y)) (- (/ 1 x)) (+ (/ (- (/ 1 x)) x) (/ (/ 1 y) y)) (+ (/ 1 y) (/ 1 x)) (+ (sqrt (/ 1 y)) (sqrt (/ 1 x))) (- (sqrt (/ 1 y)) (sqrt (/ 1 x))) (+ (sqrt (/ 1 y)) (/ 1 (sqrt x))) (- (sqrt (/ 1 y)) (/ 1 (sqrt x))) (+ (sqrt (/ 1 y)) (/ 1 (sqrt x))) (- (sqrt (/ 1 y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (sqrt (/ 1 x))) (- (/ 1 (sqrt y)) (sqrt (/ 1 x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (sqrt (/ 1 x))) (- (/ 1 (sqrt y)) (sqrt (/ 1 x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) 0.381 * * * [progress]: adding candidates to table 0.508 * * [progress]: iteration 3 / 4 0.508 * * * [progress]: picking best candidate 0.511 * * * * [pick]: Picked # 0.511 * * * [progress]: localizing error 0.517 * * * [progress]: generating rewritten candidates 0.517 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.526 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.536 * * * [progress]: generating series expansions 0.536 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.536 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.536 * [taylor]: Taking taylor expansion of 0.5 in y 0.536 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.536 * [taylor]: Taking taylor expansion of (- x y) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (* x y) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.537 * [taylor]: Taking taylor expansion of 0.5 in x 0.537 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.537 * [taylor]: Taking taylor expansion of (- x y) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (* x y) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.538 * [taylor]: Taking taylor expansion of 0.5 in x 0.538 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.538 * [taylor]: Taking taylor expansion of (- x y) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of (* x y) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of -0.5 in y 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.540 * [taylor]: Taking taylor expansion of 0.5 in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.549 * [taylor]: Taking taylor expansion of 0.5 in y 0.549 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.550 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (* x y) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.550 * [taylor]: Taking taylor expansion of 0.5 in x 0.550 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.550 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (* x y) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.550 * [taylor]: Taking taylor expansion of 0.5 in x 0.550 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.550 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (* x y) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.553 * [taylor]: Taking taylor expansion of 0.5 in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.556 * [taylor]: Taking taylor expansion of 0.5 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.570 * [taylor]: Taking taylor expansion of 0.5 in y 0.570 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.571 * [taylor]: Taking taylor expansion of 0.5 in x 0.571 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.571 * [taylor]: Taking taylor expansion of 0.5 in x 0.571 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.574 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.574 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.574 * [taylor]: Taking taylor expansion of 0.5 in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of 0.5 in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.593 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.593 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in (x y) around 0 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in y 0.593 * [taylor]: Taking taylor expansion of 0.5 in y 0.593 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 0.593 * [taylor]: Taking taylor expansion of (- x y) in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.594 * [taylor]: Taking taylor expansion of 0.5 in x 0.594 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.594 * [taylor]: Taking taylor expansion of (- x y) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.594 * [taylor]: Taking taylor expansion of 0.5 in x 0.594 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.594 * [taylor]: Taking taylor expansion of (- x y) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.594 * [taylor]: Taking taylor expansion of -0.5 in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 0.5 in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.602 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in y 0.602 * [taylor]: Taking taylor expansion of 0.5 in y 0.602 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.602 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.603 * [taylor]: Taking taylor expansion of 0.5 in x 0.603 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.603 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.603 * [taylor]: Taking taylor expansion of 0.5 in x 0.603 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.603 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 0.5 in y 0.608 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.608 * [taylor]: Taking taylor expansion of 0.5 in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [approximate]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.616 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in y 0.616 * [taylor]: Taking taylor expansion of -0.5 in y 0.616 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.617 * [taylor]: Taking taylor expansion of x in y 0.617 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.617 * [taylor]: Taking taylor expansion of x in y 0.617 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.617 * [taylor]: Taking taylor expansion of -0.5 in x 0.617 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.617 * [taylor]: Taking taylor expansion of -0.5 in x 0.617 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [taylor]: Taking taylor expansion of 0.5 in y 0.623 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.623 * [taylor]: Taking taylor expansion of 0.5 in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.632 * * * [progress]: simplifying candidates 0.634 * [simplify]: Simplifying using # : (expm1 (/ (/ (- x y) (* x 2.0)) y)) (log1p (/ (/ (- x y) (* x 2.0)) y)) (- (- (log (- x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (- x y)) (log (* x 2.0))) (log y)) (- (log (/ (- x y) (* x 2.0))) (log y)) (log (/ (/ (- x y) (* x 2.0)) y)) (exp (/ (/ (- x y) (* x 2.0)) y)) (/ (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* y y) y)) (/ (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* y y) y)) (/ (* (* (/ (- x y) (* x 2.0)) (/ (- x y) (* x 2.0))) (/ (- x y) (* x 2.0))) (* (* y y) y)) (* (cbrt (/ (/ (- x y) (* x 2.0)) y)) (cbrt (/ (/ (- x y) (* x 2.0)) y))) (cbrt (/ (/ (- x y) (* x 2.0)) y)) (* (* (/ (/ (- x y) (* x 2.0)) y) (/ (/ (- x y) (* x 2.0)) y)) (/ (/ (- x y) (* x 2.0)) y)) (sqrt (/ (/ (- x y) (* x 2.0)) y)) (sqrt (/ (/ (- x y) (* x 2.0)) y)) (- (/ (- x y) (* x 2.0))) (- y) (/ (/ x (* x 2.0)) y) (/ (/ y (* x 2.0)) y) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) 1) (/ (cbrt (/ (- x y) (* x 2.0))) y) (/ (sqrt (/ (- x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) 1) (/ (sqrt (/ (- x y) (* x 2.0))) y) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (- x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (sqrt y)) (/ (/ (cbrt (- x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) 1) (/ (/ (cbrt (- x y)) 2.0) y) (/ (/ (sqrt (- x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (- x y)) 2.0) (cbrt y)) (/ (/ (sqrt (- x y)) x) (sqrt y)) (/ (/ (sqrt (- x y)) 2.0) (sqrt y)) (/ (/ (sqrt (- x y)) x) 1) (/ (/ (sqrt (- x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (- x y) 2.0) y) (/ (/ (+ (sqrt x) (sqrt y)) x) (* (cbrt y) (cbrt y))) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (cbrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) (sqrt y)) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (sqrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) 1) (/ (/ (- (sqrt x) (sqrt y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (- x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (- x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (- x y) (* x 2.0)) y) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (- x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (- x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (- x y) (* x 2.0))) (/ (/ (- x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (sqrt y)) (/ (/ (- x y) (* x 2.0)) 1) (/ y (cbrt (/ (- x y) (* x 2.0)))) (/ y (sqrt (/ (- x y) (* x 2.0)))) (/ y (/ (cbrt (- x y)) 2.0)) (/ y (/ (sqrt (- x y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- (sqrt x) (sqrt y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (expm1 (/ (- x y) (* x 2.0))) (log1p (/ (- x y) (* x 2.0))) (- (log (- x y)) (+ (log x) (log 2.0))) (- (log (- x y)) (log (* x 2.0))) (log (/ (- x y) (* x 2.0))) (exp (/ (- x y) (* x 2.0))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (cbrt (/ (- x y) (* x 2.0))) (* (* (/ (- x y) (* x 2.0)) (/ (- x y) (* x 2.0))) (/ (- x y) (* x 2.0))) (sqrt (/ (- x y) (* x 2.0))) (sqrt (/ (- x y) (* x 2.0))) (- (- x y)) (- (* x 2.0)) (/ x (* x 2.0)) (/ y (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (cbrt (- x y)) 2.0) (/ (sqrt (- x y)) x) (/ (sqrt (- x y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (- x y)) (/ (- x y) x) (/ (* x 2.0) (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- (sqrt x) (sqrt y))) (/ (* x 2.0) (- x y)) (* (* x 2.0) (+ (* x x) (+ (* y y) (* x y)))) (* (* x 2.0) (+ x y)) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) 0.639 * * [simplify]: iteration 0 : 386 enodes (cost 623 ) 0.645 * * [simplify]: iteration 1 : 1500 enodes (cost 563 ) 0.669 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.672 * [simplify]: Simplified to: (expm1 (/ (/ (- x y) (* x 2.0)) y)) (log1p (/ (/ (- x y) (* x 2.0)) y)) (log (/ (/ (- x y) (* x 2.0)) y)) (log (/ (/ (- x y) (* x 2.0)) y)) (log (/ (/ (- x y) (* x 2.0)) y)) (log (/ (/ (- x y) (* x 2.0)) y)) (exp (/ (/ (- x y) (* x 2.0)) y)) (pow (/ (/ (- x y) (* x 2.0)) y) 3) (pow (/ (/ (- x y) (* x 2.0)) y) 3) (pow (/ (/ (- x y) (* x 2.0)) y) 3) (* (cbrt (/ (/ (- x y) (* x 2.0)) y)) (cbrt (/ (/ (- x y) (* x 2.0)) y))) (cbrt (/ (/ (- x y) (* x 2.0)) y)) (pow (/ (/ (- x y) (* x 2.0)) y) 3) (sqrt (/ (/ (- x y) (* x 2.0)) y)) (sqrt (/ (/ (- x y) (* x 2.0)) y)) (- (/ (- x y) (* x 2.0))) (- y) (/ 1 (* y 2.0)) (/ 1 (* x 2.0)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (- x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (/ (cbrt (/ (- x y) (* x 2.0))) y) (/ (sqrt (/ (- x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (- x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (- x y) (* x 2.0))) (sqrt y)) (sqrt (/ (- x y) (* x 2.0))) (/ (sqrt (/ (- x y) (* x 2.0))) y) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (- x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (sqrt y)) (/ (/ (cbrt (- x y)) 2.0) (sqrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (/ (cbrt (- x y)) 2.0) y) (/ (/ (sqrt (- x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (- x y)) 2.0) (cbrt y)) (/ (/ (sqrt (- x y)) x) (sqrt y)) (/ (/ (sqrt (- x y)) 2.0) (sqrt y)) (/ (sqrt (- x y)) x) (/ (/ (sqrt (- x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (- x y) 2.0) y) (/ (/ (+ (sqrt x) (sqrt y)) x) (* (cbrt y) (cbrt y))) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (cbrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) (sqrt y)) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (sqrt y)) (/ (+ (sqrt x) (sqrt y)) x) (/ (/ (- (sqrt x) (sqrt y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (- x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (- x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (- x y) (* x 2.0)) y) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (- x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (- x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (- x y) (* x 2.0))) (/ (/ (- x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (- x y) (* x 2.0)) (sqrt y)) (/ (- x y) (* x 2.0)) (/ y (cbrt (/ (- x y) (* x 2.0)))) (/ y (sqrt (/ (- x y) (* x 2.0)))) (/ y (/ (cbrt (- x y)) 2.0)) (/ y (/ (sqrt (- x y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- (sqrt x) (sqrt y)) 2.0)) (/ y (/ (- x y) 2.0)) (/ y (/ (- x y) (* x 2.0))) (* y (* x 2.0)) (* y (* x 2.0)) (expm1 (/ (- x y) (* x 2.0))) (log1p (/ (- x y) (* x 2.0))) (log (/ (- x y) (* x 2.0))) (log (/ (- x y) (* x 2.0))) (log (/ (- x y) (* x 2.0))) (exp (/ (- x y) (* x 2.0))) (pow (/ (- x y) (* x 2.0)) 3) (pow (/ (- x y) (* x 2.0)) 3) (* (cbrt (/ (- x y) (* x 2.0))) (cbrt (/ (- x y) (* x 2.0)))) (cbrt (/ (- x y) (* x 2.0))) (pow (/ (- x y) (* x 2.0)) 3) (sqrt (/ (- x y) (* x 2.0))) (sqrt (/ (- x y) (* x 2.0))) (- (- x y)) (- (* x 2.0)) (/ 1 2.0) (/ y (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) x) (/ (cbrt (- x y)) 2.0) (/ (sqrt (- x y)) x) (/ (sqrt (- x y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt y)) 2.0) (/ 1 x) (/ (- x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (- x y)) (/ (- x y) x) (/ (* x 2.0) (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- (sqrt x) (sqrt y))) (/ (* x 2.0) (- x y)) (* x (* 2.0 (fma x x (fma y y (* x y))))) (* (* x 2.0) (+ x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) 0.672 * * * [progress]: adding candidates to table 0.828 * * [progress]: iteration 4 / 4 0.828 * * * [progress]: picking best candidate 0.829 * * * * [pick]: Picked # 0.829 * * * [progress]: localizing error 0.836 * * * [progress]: generating rewritten candidates 0.836 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.858 * * * [progress]: generating series expansions 0.859 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.859 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in (y x) around 0 0.859 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in x 0.859 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in x 0.859 * [taylor]: Taking taylor expansion of 0.5 in x 0.859 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.859 * [taylor]: Taking taylor expansion of 0.5 in x 0.859 * [taylor]: Taking taylor expansion of (/ y x) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in y 0.860 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in y 0.860 * [taylor]: Taking taylor expansion of 0.5 in y 0.860 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.860 * [taylor]: Taking taylor expansion of 0.5 in y 0.860 * [taylor]: Taking taylor expansion of (/ y x) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ y x))) y) in y 0.860 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ y x))) in y 0.860 * [taylor]: Taking taylor expansion of 0.5 in y 0.860 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.860 * [taylor]: Taking taylor expansion of 0.5 in y 0.860 * [taylor]: Taking taylor expansion of (/ y x) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of 0.5 in x 0.862 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 x))) in x 0.862 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of 0.5 in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of 0 in x 0.868 * [taylor]: Taking taylor expansion of 0 in x 0.872 * [taylor]: Taking taylor expansion of 0 in x 0.873 * [approximate]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in (y x) around 0 0.873 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in x 0.873 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in x 0.873 * [taylor]: Taking taylor expansion of 0.5 in x 0.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.873 * [taylor]: Taking taylor expansion of 0.5 in x 0.873 * [taylor]: Taking taylor expansion of (/ x y) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.873 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.873 * [taylor]: Taking taylor expansion of 0.5 in y 0.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.873 * [taylor]: Taking taylor expansion of 0.5 in y 0.873 * [taylor]: Taking taylor expansion of (/ x y) in y 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.873 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.873 * [taylor]: Taking taylor expansion of 0.5 in y 0.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.873 * [taylor]: Taking taylor expansion of 0.5 in y 0.873 * [taylor]: Taking taylor expansion of (/ x y) in y 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of 0 in x 0.875 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.875 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.875 * [taylor]: Taking taylor expansion of 0.5 in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of 0.5 in x 0.883 * [taylor]: Taking taylor expansion of 0 in x 0.887 * [taylor]: Taking taylor expansion of 0 in x 0.888 * [approximate]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in (y x) around 0 0.888 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in x 0.888 * [taylor]: Taking taylor expansion of -1 in x 0.888 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in x 0.888 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in x 0.888 * [taylor]: Taking taylor expansion of 0.5 in x 0.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.888 * [taylor]: Taking taylor expansion of 0.5 in x 0.888 * [taylor]: Taking taylor expansion of (/ x y) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in y 0.888 * [taylor]: Taking taylor expansion of -1 in y 0.888 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.888 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.888 * [taylor]: Taking taylor expansion of 0.5 in y 0.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.888 * [taylor]: Taking taylor expansion of 0.5 in y 0.888 * [taylor]: Taking taylor expansion of (/ x y) in y 0.888 * [taylor]: Taking taylor expansion of x in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (* -1 (* (- 0.5 (* 0.5 (/ x y))) y)) in y 0.888 * [taylor]: Taking taylor expansion of -1 in y 0.888 * [taylor]: Taking taylor expansion of (* (- 0.5 (* 0.5 (/ x y))) y) in y 0.888 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ x y))) in y 0.888 * [taylor]: Taking taylor expansion of 0.5 in y 0.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.888 * [taylor]: Taking taylor expansion of 0.5 in y 0.888 * [taylor]: Taking taylor expansion of (/ x y) in y 0.888 * [taylor]: Taking taylor expansion of x in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of 0 in x 0.891 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.891 * [taylor]: Taking taylor expansion of 0.5 in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.895 * [taylor]: Taking taylor expansion of 0.5 in x 0.900 * [taylor]: Taking taylor expansion of 0 in x 0.905 * [taylor]: Taking taylor expansion of 0 in x 0.906 * * * [progress]: simplifying candidates 0.907 * [simplify]: Simplifying using # : (expm1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (log1p (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (- (log (- (/ 1 2.0) (/ y (* x 2.0)))) (log y)) (log (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (exp (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (/ (* (* (- (/ 1 2.0) (/ y (* x 2.0))) (- (/ 1 2.0) (/ y (* x 2.0)))) (- (/ 1 2.0) (/ y (* x 2.0)))) (* (* y y) y)) (* (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y))) (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (* (* (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (sqrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (sqrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (- (- (/ 1 2.0) (/ y (* x 2.0)))) (- y) (/ (/ 1 2.0) y) (/ (/ y (* x 2.0)) y) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (* (cbrt y) (cbrt y))) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt y)) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (sqrt y)) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) 1) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) y) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) 1) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (/ 1 1) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) 1) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ (+ (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (+ (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) 1) (/ (- (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) 1) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (/ 1 1) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (/ 1 1) (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ 1 y) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) 1) (/ y (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ y (sqrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ y (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ (sqrt 1) (sqrt 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (* y (* 2.0 (* x 2.0))) (* y (+ (* (/ 1 2.0) (/ 1 2.0)) (+ (* (/ y (* x 2.0)) (/ y (* x 2.0))) (* (/ 1 2.0) (/ y (* x 2.0)))))) (* y (+ (/ 1 2.0) (/ y (* x 2.0)))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.911 * * [simplify]: iteration 0 : 240 enodes (cost 527 ) 0.915 * * [simplify]: iteration 1 : 673 enodes (cost 505 ) 0.926 * * [simplify]: iteration 2 : 2377 enodes (cost 496 ) 0.961 * * [simplify]: iteration 3 : 5002 enodes (cost 493 ) 0.963 * [simplify]: Simplified to: (expm1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (log1p (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (log (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (log (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (exp (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (pow (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) 3) (* (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y))) (cbrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (pow (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) 3) (sqrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (sqrt (/ (- (/ 1 2.0) (/ y (* x 2.0))) y)) (- (- (/ 1 2.0) (/ y (* x 2.0)))) (- y) (/ (/ 1 2.0) y) (/ 1 (* x 2.0)) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (* (cbrt y) (cbrt y))) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt y)) (/ (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (sqrt y)) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (* (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ (cbrt (- (/ 1 2.0) (/ y (* x 2.0)))) y) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (cbrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (sqrt y)) (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) (/ (sqrt (- (/ 1 2.0) (/ y (* x 2.0)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) 1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (+ (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) (/ (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (cbrt y)) (/ (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (sqrt y)) (+ (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) (/ (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0)))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) 1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (cbrt y)) (/ 1 (sqrt y)) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) 1 (/ (- (/ 1 2.0) (/ y (* x 2.0))) y) (/ 1 y) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (- (/ 1 2.0) (/ y (* x 2.0))) (sqrt y)) (- (/ 1 2.0) (/ y (* x 2.0))) (/ y (cbrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ y (sqrt (- (/ 1 2.0) (/ y (* x 2.0))))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ y (- (sqrt (/ 1 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 (sqrt 2.0)) (sqrt (/ y (* x 2.0))))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (/ y (- (/ 1 2.0) (/ y (* x 2.0)))) (* y (* 2.0 (* x 2.0))) (fma y (* (+ (/ y x) 1) (/ (/ y (* x 2.0)) 2.0)) (/ y (* 2.0 2.0))) (fma y (/ y (* x 2.0)) (/ y 2.0)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.964 * * * [progress]: adding candidates to table 1.070 * [progress]: [Phase 3 of 3] Extracting. 1.070 * * [regime]: Finding splitpoints for: (# #) 1.071 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.071 * * * * [regimes]: Trying to branch on y from (# #) 1.090 * * * * [regimes]: Trying to branch on x from (# #) 1.100 * * * [regime]: Found split indices: #