14.700 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.031 * * [simplify]: iteration 0 : 18 enodes (cost 4 ) 0.032 * * [simplify]: iteration 1 : 48 enodes (cost 4 ) 0.034 * * [simplify]: iteration 2 : 106 enodes (cost 4 ) 0.036 * * [simplify]: iteration 3 : 174 enodes (cost 4 ) 0.038 * * [simplify]: iteration 4 : 198 enodes (cost 4 ) 0.040 * * [simplify]: iteration 5 : 203 enodes (cost 4 ) 0.042 * * [simplify]: iteration 6 : 203 enodes (cost 4 ) 0.043 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.064 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.064 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.064 * [taylor]: Taking taylor expansion of (- x y) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (* x y) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of y in y 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 (/ (- 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 0.066 * [taylor]: Taking taylor expansion of -0.5 in y 0.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of 0.5 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [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 0.078 * [taylor]: Taking taylor expansion of (* x y) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of y in y 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 0.078 * [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 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (* x y) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.081 * [taylor]: Taking taylor expansion of 0.5 in y 0.081 * [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 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.101 * [taylor]: Taking taylor expansion of 0.5 in y 0.101 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [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 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.102 * [taylor]: Taking taylor expansion of 0.5 in x 0.102 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.105 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.105 * [taylor]: Taking taylor expansion of 0.5 in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.107 * [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 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * * * [progress]: simplifying candidates 0.122 * [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))) 0.126 * * [simplify]: iteration 0 : 242 enodes (cost 218 ) 0.131 * * [simplify]: iteration 1 : 990 enodes (cost 181 ) 0.150 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.151 * [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))) 0.152 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.216 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.257 * * * [progress]: generating series expansions 0.257 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.257 * [approximate]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in (y x) around 0 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of 1 in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of 0 in x 0.263 * [taylor]: Taking taylor expansion of 0 in x 0.264 * [taylor]: Taking taylor expansion of 0 in x 0.264 * [approximate]: Taking taylor expansion of (- y x) in (y x) around 0 0.264 * [taylor]: Taking taylor expansion of (- y x) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (- y x) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (- y x) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (- x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of 1 in x 0.266 * [taylor]: Taking taylor expansion of 0 in x 0.267 * [taylor]: Taking taylor expansion of 0 in x 0.267 * [approximate]: Taking taylor expansion of (- x y) in (y x) around 0 0.267 * [taylor]: Taking taylor expansion of (- x y) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (- x y) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (- x y) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of y in y 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 * * * [progress]: simplifying candidates 0.273 * [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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0.288 * * [simplify]: iteration 0 : 632 enodes (cost 4575 ) 0.296 * * [simplify]: iteration 1 : 1668 enodes (cost 2587 ) 0.312 * * [simplify]: iteration 2 : 4521 enodes (cost 2326 ) 0.360 * * [simplify]: iteration 3 : 5001 enodes (cost 2232 ) 0.369 * [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)) 0.375 * * * [progress]: adding candidates to table 0.491 * * [progress]: iteration 3 / 4 0.491 * * * [progress]: picking best candidate 0.494 * * * * [pick]: Picked # 0.494 * * * [progress]: localizing error 0.501 * * * [progress]: generating rewritten candidates 0.501 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.527 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.541 * * * [progress]: generating series expansions 0.541 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.541 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.541 * [taylor]: Taking taylor expansion of 0.5 in y 0.541 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.541 * [taylor]: Taking taylor expansion of (- x y) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of (* x y) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.542 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.542 * [taylor]: Taking taylor expansion of (- x y) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of (* x y) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.543 * [taylor]: Taking taylor expansion of 0.5 in x 0.543 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.543 * [taylor]: Taking taylor expansion of (- x y) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of (* x y) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of -0.5 in y 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.545 * [taylor]: Taking taylor expansion of 0.5 in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.555 * [taylor]: Taking taylor expansion of 0.5 in y 0.555 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.555 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (* x y) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.556 * [taylor]: Taking taylor expansion of 0.5 in x 0.556 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (* x y) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.556 * [taylor]: Taking taylor expansion of 0.5 in x 0.556 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (* x y) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.558 * [taylor]: Taking taylor expansion of 0.5 in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.562 * [taylor]: Taking taylor expansion of 0.5 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.576 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.576 * [taylor]: Taking taylor expansion of 0.5 in y 0.576 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.576 * [taylor]: Taking taylor expansion of 0.5 in x 0.576 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.577 * [taylor]: Taking taylor expansion of 0.5 in x 0.577 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.580 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.580 * [taylor]: Taking taylor expansion of 0.5 in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of 0.5 in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.590 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.596 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.596 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 0.596 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 0.596 * [taylor]: Taking taylor expansion of (- x y) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.597 * [taylor]: Taking taylor expansion of (- x y) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.597 * [taylor]: Taking taylor expansion of (- x y) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of -1 in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.601 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.601 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.602 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (- 1) in y 0.603 * [taylor]: Taking taylor expansion of 1 in y 0.604 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [approximate]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.609 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.609 * [taylor]: Taking taylor expansion of -1 in y 0.609 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.609 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.609 * [taylor]: Taking taylor expansion of -1 in x 0.609 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of -1 in x 0.610 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (- 1) in y 0.612 * [taylor]: Taking taylor expansion of 1 in y 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.623 * * * [progress]: simplifying candidates 0.624 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (- x y) y))) (* (/ 1 (* x 2.0)) (/ (- x y) y)) (+ (- (+ (log x) (log 2.0))) (- (log (- x y)) (log y))) (+ (- (+ (log x) (log 2.0))) (log (/ (- x y) y))) (+ (- (log (* x 2.0))) (- (log (- x y)) (log y))) (+ (- (log (* x 2.0))) (log (/ (- x y) y))) (+ (- 0 (+ (log x) (log 2.0))) (- (log (- x y)) (log y))) (+ (- 0 (+ (log x) (log 2.0))) (log (/ (- x y) y))) (+ (- 0 (log (* x 2.0))) (- (log (- x y)) (log y))) (+ (- 0 (log (* x 2.0))) (log (/ (- x y) y))) (+ (- (log 1) (+ (log x) (log 2.0))) (- (log (- x y)) (log y))) (+ (- (log 1) (+ (log x) (log 2.0))) (log (/ (- x y) y))) (+ (- (log 1) (log (* x 2.0))) (- (log (- x y)) (log y))) (+ (- (log 1) (log (* x 2.0))) (log (/ (- x y) y))) (+ (log (/ 1 (* x 2.0))) (- (log (- x y)) (log y))) (+ (log (/ 1 (* x 2.0))) (log (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (- x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (* (cbrt (* (/ 1 (* x 2.0)) (/ (- x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (- x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (- x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ (- x y) y)) (* (/ 1 (* x 2.0)) (/ (- x y) y))) (* (/ 1 (* x 2.0)) (/ (- x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (- x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (- x y) y))) (* 1 (- x y)) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (- x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (- x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (- x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (- x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (* (/ 1 (* x 2.0)) (sqrt (/ (- x y) y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (* (/ 1 (* x 2.0)) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (sqrt (- x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (sqrt (- x y)) 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (+ (sqrt x) (sqrt y)) 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) 1) (* (/ 1 (* x 2.0)) (- x y)) (* (cbrt (/ 1 (* x 2.0))) (/ (- x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (- x y) y)) (* (/ (cbrt 1) 2.0) (/ (- x y) y)) (* (/ (sqrt 1) 2.0) (/ (- x y) y)) (* (/ 1 2.0) (/ (- x y) y)) (* (/ 1 (* x 2.0)) (/ (- x y) y)) (* (/ 1 (* x 2.0)) (/ (- x y) y)) (* (/ 1 (* x 2.0)) (- x y)) (* 1 (/ (- x y) y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (- (log (- x y)) (log y)) (log (/ (- x y) y)) (exp (/ (- x 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) (/ x y) (/ 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) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x 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) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x 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 (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* y (+ (* x x) (+ (* y y) (* x y)))) (* 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))) (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 0.631 * * [simplify]: iteration 0 : 478 enodes (cost 656 ) 0.640 * * [simplify]: iteration 1 : 2457 enodes (cost 559 ) 0.683 * * [simplify]: iteration 2 : 5001 enodes (cost 556 ) 0.686 * [simplify]: Simplified to: (expm1 (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (- x y) y))) (/ (/ (- x y) y) (* x 2.0)) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (log (* (/ 1 (* x 2.0)) (/ (- x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (- x y) y))) (pow (/ (/ (- x y) y) (* x 2.0)) 3) (pow (/ (/ (- x y) y) (* x 2.0)) 3) (pow (/ (/ (- x y) y) (* x 2.0)) 3) (pow (/ (/ (- x y) y) (* x 2.0)) 3) (pow (/ (/ (- x y) y) (* x 2.0)) 3) (pow (/ (/ (- x y) y) (* x 2.0)) 3) (* (cbrt (* (/ 1 (* x 2.0)) (/ (- x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (- x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (- x y) y))) (pow (/ (/ (- x y) y) (* x 2.0)) 3) (sqrt (* (/ 1 (* x 2.0)) (/ (- x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (- x y) y))) (- x y) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (- x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (- x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (- x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (- x y)) (sqrt y))) (/ (/ (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) 2.0) x) (/ (/ (sqrt (/ (- x y) y)) 2.0) x) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y)) (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (/ (sqrt (- x y)) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (/ (sqrt (- x y)) (sqrt y)) 2.0) x) (/ (sqrt (- x y)) (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (/ (+ (sqrt x) (sqrt y)) (sqrt y)) 2.0) x) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ 1 (* x 2.0)) (/ (- x y) (* x 2.0)) (* (cbrt (/ 1 (* x 2.0))) (/ (- x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (- x y) y)) (/ (/ (- x y) y) 2.0) (/ (/ (- x y) y) 2.0) (/ (/ (- x y) y) 2.0) (/ (/ (- x y) y) (* x 2.0)) (/ (/ (- x y) y) (* x 2.0)) (/ (- x y) (* x 2.0)) (/ (- x y) y) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (log (/ (- x y) y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (pow (/ (- x y) y) 3) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (pow (/ (- x y) y) 3) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) 1 (/ (* (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) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (/ (- x 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)) 1) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (/ (- x y) y) (/ 1 y) (/ y (- x y)) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (- x y) (sqrt y)) (- x y) (/ y (cbrt (- x y))) (/ y (sqrt (- x y))) (/ y (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* (fma x x (fma y y (* x y))) y) (fma y y (* x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (/ (- x y) y) (/ (- x y) y) (/ (- x y) y) 0.687 * * * [progress]: adding candidates to table 0.850 * * [progress]: iteration 4 / 4 0.850 * * * [progress]: picking best candidate 0.852 * * * * [pick]: Picked # 0.852 * * * [progress]: localizing error 0.860 * * * [progress]: generating rewritten candidates 0.860 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.864 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.867 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.870 * * * [progress]: generating series expansions 0.870 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.870 * [approximate]: Taking taylor expansion of (sqrt (/ 1 y)) in (y) around 0 0.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.879 * [approximate]: Taking taylor expansion of (sqrt y) in (y) around 0 0.879 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.886 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in (y) around 0 0.886 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in y 0.886 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.886 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.886 * [taylor]: Taking taylor expansion of -1 in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in y 0.887 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.888 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.888 * [taylor]: Taking taylor expansion of -1 in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.898 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.899 * [approximate]: Taking taylor expansion of (sqrt (/ 1 y)) in (y) around 0 0.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.910 * [approximate]: Taking taylor expansion of (sqrt y) in (y) around 0 0.910 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.917 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in (y) around 0 0.917 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in y 0.917 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.917 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.917 * [taylor]: Taking taylor expansion of -1 in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in y 0.919 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.919 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.919 * [taylor]: Taking taylor expansion of -1 in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.930 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.930 * [approximate]: Taking taylor expansion of (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (/ 1 x))) in (y x) around 0 0.930 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (/ 1 x))) in x 0.930 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) (- (/ 1 x))) 0.930 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) in x 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (/ 1 x))) in y 0.931 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) (- (/ 1 x))) 0.931 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) in y 0.931 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.934 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 y)) (sqrt (/ 1 y)) (- (/ 1 x))) in y 0.934 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) (- (/ 1 x))) 0.934 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 y)) (sqrt (/ 1 y))) in y 0.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.937 * [taylor]: Taking taylor expansion of x in y 0.937 * [taylor]: Taking taylor expansion of 0 in x 0.938 * [taylor]: Taking taylor expansion of 0 in x 0.944 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (- +nan.0))) in x 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (- +nan.0)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.945 * [taylor]: Taking taylor expansion of +nan.0 in x 0.954 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.954 * [taylor]: Taking taylor expansion of +nan.0 in x 0.966 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.966 * [taylor]: Taking taylor expansion of +nan.0 in x 0.967 * [approximate]: Taking taylor expansion of (fma (sqrt y) (sqrt y) (- x)) in (y x) around 0 0.968 * [taylor]: Taking taylor expansion of (fma (sqrt y) (sqrt y) (- x)) in x 0.968 * [taylor]: Rewrote expression to (+ (* (sqrt y) (sqrt y)) (- x)) 0.968 * [taylor]: Taking taylor expansion of (* (sqrt y) (sqrt y)) in x 0.968 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of (- x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (fma (sqrt y) (sqrt y) (- x)) in y 0.968 * [taylor]: Rewrote expression to (+ (* (sqrt y) (sqrt y)) (- x)) 0.968 * [taylor]: Taking taylor expansion of (* (sqrt y) (sqrt y)) in y 0.968 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of (- x) in y 0.970 * [taylor]: Taking taylor expansion of x in y 0.970 * [taylor]: Taking taylor expansion of (fma (sqrt y) (sqrt y) (- x)) in y 0.971 * [taylor]: Rewrote expression to (+ (* (sqrt y) (sqrt y)) (- x)) 0.971 * [taylor]: Taking taylor expansion of (* (sqrt y) (sqrt y)) in y 0.971 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.972 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (- x) in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [taylor]: Taking taylor expansion of (- x) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of 0 in x 0.981 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.981 * [taylor]: Taking taylor expansion of +nan.0 in x 0.992 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.992 * [taylor]: Taking taylor expansion of +nan.0 in x 0.994 * [approximate]: Taking taylor expansion of (fma (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y))) x) in (y x) around 0 0.994 * [taylor]: Taking taylor expansion of (fma (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y))) x) in x 0.994 * [taylor]: Rewrote expression to (+ (* (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y)))) x) 0.994 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y)))) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in x 0.994 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.994 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.994 * [taylor]: Taking taylor expansion of -1 in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in x 0.994 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.994 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.994 * [taylor]: Taking taylor expansion of -1 in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (fma (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y))) x) in y 0.995 * [taylor]: Rewrote expression to (+ (* (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y)))) x) 0.995 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y)))) in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in y 0.995 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.995 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.995 * [taylor]: Taking taylor expansion of -1 in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in y 0.997 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.997 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.997 * [taylor]: Taking taylor expansion of -1 in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of x in y 0.998 * [taylor]: Taking taylor expansion of (fma (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y))) x) in y 0.998 * [taylor]: Rewrote expression to (+ (* (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y)))) x) 0.998 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 y))) (/ 1 (sqrt (/ -1 y)))) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in y 0.998 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.999 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.999 * [taylor]: Taking taylor expansion of -1 in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 y))) in y 1.000 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.000 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.000 * [taylor]: Taking taylor expansion of -1 in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [taylor]: Taking taylor expansion of (- x +nan.0) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of +nan.0 in x 1.011 * [taylor]: Taking taylor expansion of (- +nan.0) in x 1.011 * [taylor]: Taking taylor expansion of +nan.0 in x 1.013 * * * [progress]: simplifying candidates 1.015 * [simplify]: Simplifying using # : (expm1 (/ 1 (sqrt y))) (log1p (/ 1 (sqrt y))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt y))) (- 0 (log (sqrt y))) (- (log 1) (log (sqrt y))) (log (/ 1 (sqrt y))) (exp (/ 1 (sqrt y))) (/ (* (* 1 1) 1) (* (* (sqrt y) (sqrt y)) (sqrt y))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (cbrt (/ 1 (sqrt y))) (* (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (sqrt y))) (sqrt (/ 1 (sqrt y))) (sqrt (/ 1 (sqrt y))) (- 1) (- (sqrt y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ (cbrt 1) (cbrt (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (sqrt (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt y))) (/ (cbrt 1) (sqrt (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt y)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt y))) (/ (cbrt 1) (sqrt (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt y)) (/ (sqrt 1) (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ (sqrt 1) (cbrt (sqrt y))) (/ (sqrt 1) (sqrt (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (sqrt (cbrt y))) (/ (sqrt 1) (sqrt (sqrt y))) (/ (sqrt 1) (sqrt (sqrt y))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt y)) (/ (sqrt 1) (sqrt (sqrt y))) (/ (sqrt 1) (sqrt (sqrt y))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt y)) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (cbrt (sqrt y))) (/ 1 (sqrt (* (cbrt y) (cbrt y)))) (/ 1 (sqrt (cbrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt 1)) (/ 1 (sqrt y)) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 1) (/ 1 (sqrt y)) (/ 1 (sqrt y)) (/ (sqrt y) 1) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (sqrt (* (cbrt y) (cbrt y)))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt y))) (/ 1 1) (/ (sqrt y) (cbrt 1)) (/ (sqrt y) (sqrt 1)) (/ (sqrt y) 1) (expm1 (/ 1 (sqrt y))) (log1p (/ 1 (sqrt y))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt y))) (- 0 (log (sqrt y))) (- (log 1) (log (sqrt y))) (log (/ 1 (sqrt y))) (exp (/ 1 (sqrt y))) (/ (* (* 1 1) 1) (* (* (sqrt y) (sqrt y)) (sqrt y))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (cbrt (/ 1 (sqrt y))) (* (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (sqrt y))) (sqrt (/ 1 (sqrt y))) (sqrt (/ 1 (sqrt y))) (- 1) (- (sqrt y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ (cbrt 1) (cbrt (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (sqrt (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt y))) (/ (cbrt 1) (sqrt (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt y)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt y))) (/ (cbrt 1) (sqrt (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt y)) (/ (sqrt 1) (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ (sqrt 1) (cbrt (sqrt y))) (/ (sqrt 1) (sqrt (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (sqrt (cbrt y))) (/ (sqrt 1) (sqrt (sqrt y))) (/ (sqrt 1) (sqrt (sqrt y))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt y)) (/ (sqrt 1) (sqrt (sqrt y))) (/ (sqrt 1) (sqrt (sqrt y))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt y)) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (cbrt (sqrt y))) (/ 1 (sqrt (* (cbrt y) (cbrt y)))) (/ 1 (sqrt (cbrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt 1)) (/ 1 (sqrt y)) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 1) (/ 1 (sqrt y)) (/ 1 (sqrt y)) (/ (sqrt y) 1) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (sqrt (* (cbrt y) (cbrt y)))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt y))) (/ 1 1) (/ (sqrt y) (cbrt 1)) (/ (sqrt y) (sqrt 1)) (/ (sqrt y) 1) (expm1 (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (log1p (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (log (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (exp (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (* (cbrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (cbrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x))))) (cbrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (* (* (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x))) (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (sqrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (sqrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 y) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 3))) (- (* +nan.0 (/ 1 (pow y 2)))))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 y) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 3))) (- (* +nan.0 (/ 1 (pow y 2)))))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ +nan.0 (- (/ 1 x) (* +nan.0 y)))) (- (+ (* +nan.0 (/ 1 (pow y 3))) (- (/ 1 x) (* +nan.0 (/ 1 (pow y 2)))))) (- (+ +nan.0 (- (/ 1 x) (* +nan.0 (/ 1 y))))) 1.020 * * [simplify]: iteration 0 : 226 enodes (cost 622 ) 1.024 * * [simplify]: iteration 1 : 800 enodes (cost 530 ) 1.040 * * [simplify]: iteration 2 : 3529 enodes (cost 453 ) 1.127 * * [simplify]: iteration 3 : 5001 enodes (cost 453 ) 1.130 * [simplify]: Simplified to: (expm1 (/ 1 (sqrt y))) (log1p (/ 1 (sqrt y))) (- 1/2) (- 1) (- 1/2) (log (/ 1 (sqrt y))) (log (/ 1 (sqrt y))) (log (/ 1 (sqrt y))) (log (/ 1 (sqrt y))) (exp (/ 1 (sqrt y))) (/ (/ 1 y) (sqrt y)) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (cbrt (/ 1 (sqrt y))) (/ (/ 1 y) (sqrt y)) (sqrt (/ 1 (sqrt y))) (sqrt (/ 1 (sqrt y))) (- 1) (- (sqrt y)) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (cbrt (sqrt y))) (/ 1 (fabs (cbrt y))) (/ 1 (sqrt (cbrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (cbrt (sqrt y))) (/ 1 (fabs (cbrt y))) (/ 1 (sqrt (cbrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (cbrt (sqrt y))) (/ 1 (fabs (cbrt y))) (/ 1 (sqrt (cbrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (sqrt y)) (sqrt y) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (fabs (cbrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt (sqrt y))) 1 (sqrt y) (sqrt y) (sqrt y) (expm1 (/ 1 (sqrt y))) (log1p (/ 1 (sqrt y))) (- 1/2) (- 1) (- 1/2) (log (/ 1 (sqrt y))) (log (/ 1 (sqrt y))) (log (/ 1 (sqrt y))) (log (/ 1 (sqrt y))) (exp (/ 1 (sqrt y))) (/ (/ 1 y) (sqrt y)) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (cbrt (/ 1 (sqrt y))) (/ (/ 1 y) (sqrt y)) (sqrt (/ 1 (sqrt y))) (sqrt (/ 1 (sqrt y))) (- 1) (- (sqrt y)) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (cbrt (sqrt y))) (/ 1 (fabs (cbrt y))) (/ 1 (sqrt (cbrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (cbrt (sqrt y))) (/ 1 (fabs (cbrt y))) (/ 1 (sqrt (cbrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (cbrt (sqrt y))) (/ 1 (fabs (cbrt y))) (/ 1 (sqrt (cbrt y))) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (sqrt (sqrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt y)) (/ 1 (sqrt y)) (sqrt y) (/ 1 (* (cbrt (sqrt y)) (cbrt (sqrt y)))) (/ 1 (fabs (cbrt y))) (/ 1 (sqrt (sqrt y))) 1 (/ 1 (sqrt (sqrt y))) 1 (sqrt y) (sqrt y) (sqrt y) (expm1 (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (log1p (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (/ 1 y) (log (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (/ (pow (exp 1) (/ 1 y)) (exp (/ 1 x))) (* (cbrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (cbrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x))))) (cbrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (pow (- (/ 1 y) (/ 1 x)) 3) (sqrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (sqrt (fma (/ 1 (sqrt y)) (/ 1 (sqrt y)) (- (/ 1 x)))) (fma (- (pow y 2)) +nan.0 (fma +nan.0 y (- +nan.0))) (- (* (/ 1 (pow y 2)) (- (/ +nan.0 y) +nan.0)) (/ +nan.0 y)) (- (- (/ +nan.0 (pow y 2)) +nan.0) (/ +nan.0 y)) (fma (- (pow y 2)) +nan.0 (fma +nan.0 y (- +nan.0))) (- (* (/ 1 (pow y 2)) (- (/ +nan.0 y) +nan.0)) (/ +nan.0 y)) (- (- (/ +nan.0 (pow y 2)) +nan.0) (/ +nan.0 y)) (- (+ +nan.0 (- (/ 1 x) (* +nan.0 y)))) (- (* (/ 1 (pow y 2)) (- +nan.0 (/ +nan.0 y))) (/ 1 x)) (+ (- (+ +nan.0 (/ 1 x))) (/ +nan.0 y)) 1.131 * * * [progress]: adding candidates to table 1.306 * [progress]: [Phase 3 of 3] Extracting. 1.306 * * [regime]: Finding splitpoints for: (# # #) 1.307 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.307 * * * * [regimes]: Trying to branch on y from (# # #) 1.319 * * * * [regimes]: Trying to branch on x from (# # #) 1.335 * * * [regime]: Found split indices: #