7.761 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.016 * * [simplify]: iteration 1 : 18 enodes (cost 9 ) 0.018 * * [simplify]: iteration 2 : 47 enodes (cost 9 ) 0.025 * * [simplify]: iteration 3 : 102 enodes (cost 9 ) 0.037 * * [simplify]: iteration 4 : 159 enodes (cost 9 ) 0.058 * * [simplify]: iteration 5 : 182 enodes (cost 9 ) 0.078 * * [simplify]: iteration 6 : 190 enodes (cost 9 ) 0.099 * * [simplify]: iteration done : 190 enodes (cost 9 ) 0.099 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.107 * * * [progress]: generating rewritten candidates 0.107 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.121 * * * [progress]: generating series expansions 0.121 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.121 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.121 * [taylor]: Taking taylor expansion of 0.5 in y 0.121 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.121 * [taylor]: Taking taylor expansion of (- x y) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (* x y) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.122 * [taylor]: Taking taylor expansion of 0.5 in x 0.122 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.122 * [taylor]: Taking taylor expansion of (- x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (* x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.123 * [taylor]: Taking taylor expansion of 0.5 in x 0.123 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.123 * [taylor]: Taking taylor expansion of (- x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (* x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of -0.5 in y 0.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.125 * [taylor]: Taking taylor expansion of 0.5 in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.135 * [taylor]: Taking taylor expansion of 0.5 in y 0.135 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (* x y) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.135 * [taylor]: Taking taylor expansion of 0.5 in x 0.135 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (* x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.136 * [taylor]: Taking taylor expansion of 0.5 in x 0.136 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (* x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.138 * [taylor]: Taking taylor expansion of 0.5 in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.141 * [taylor]: Taking taylor expansion of 0.5 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.155 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.155 * [taylor]: Taking taylor expansion of 0.5 in y 0.155 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.156 * [taylor]: Taking taylor expansion of 0.5 in x 0.156 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.156 * [taylor]: Taking taylor expansion of 0.5 in x 0.156 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.159 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.159 * [taylor]: Taking taylor expansion of 0.5 in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of 0.5 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.176 * * * [progress]: simplifying candidates 0.176 * [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))) 0.179 * * [simplify]: iteration 0 : 84 enodes (cost 467 ) 0.195 * * [simplify]: iteration 1 : 241 enodes (cost 452 ) 0.243 * * [simplify]: iteration 2 : 932 enodes (cost 372 ) 0.538 * * [simplify]: iteration done : 5000 enodes (cost 370 ) 0.538 * [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 (* y (+ x y)))) (* (* (* x 2.0) y) (+ x y)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) 0.539 * * * [progress]: adding candidates to table 0.593 * * [progress]: iteration 2 / 4 0.593 * * * [progress]: picking best candidate 0.596 * * * * [pick]: Picked # 0.596 * * * [progress]: localizing error 0.600 * * * [progress]: generating rewritten candidates 0.600 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.639 * * * [progress]: generating series expansions 0.639 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.640 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 0.640 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.640 * [taylor]: Taking taylor expansion of 0.5 in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.640 * [taylor]: Taking taylor expansion of 0.5 in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.640 * [taylor]: Taking taylor expansion of 0.5 in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.641 * [taylor]: Taking taylor expansion of 0.5 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.641 * [taylor]: Taking taylor expansion of 0.5 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.641 * [taylor]: Taking taylor expansion of 0.5 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of 0.5 in x 0.643 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of 0.5 in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of 0 in x 0.649 * [taylor]: Taking taylor expansion of 0 in x 0.652 * [taylor]: Taking taylor expansion of 0 in x 0.653 * [approximate]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in (y x) around 0 0.653 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in x 0.653 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.653 * [taylor]: Taking taylor expansion of 0.5 in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.653 * [taylor]: Taking taylor expansion of 0.5 in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.653 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.653 * [taylor]: Taking taylor expansion of 0.5 in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.653 * [taylor]: Taking taylor expansion of 0.5 in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.653 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.653 * [taylor]: Taking taylor expansion of 0.5 in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.653 * [taylor]: Taking taylor expansion of 0.5 in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.654 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.654 * [taylor]: Taking taylor expansion of 0.5 in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of 0.5 in x 0.659 * [taylor]: Taking taylor expansion of 0 in x 0.661 * [taylor]: Taking taylor expansion of 0 in x 0.662 * [approximate]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in (y x) around 0 0.662 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in x 0.662 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.662 * [taylor]: Taking taylor expansion of 0.5 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.662 * [taylor]: Taking taylor expansion of 0.5 in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.662 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.662 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.662 * [taylor]: Taking taylor expansion of 0.5 in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.662 * [taylor]: Taking taylor expansion of 0.5 in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.662 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.662 * [taylor]: Taking taylor expansion of 0.5 in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.662 * [taylor]: Taking taylor expansion of 0.5 in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.663 * [taylor]: Taking taylor expansion of 0.5 in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.665 * [taylor]: Taking taylor expansion of 0.5 in x 0.668 * [taylor]: Taking taylor expansion of 0 in x 0.670 * [taylor]: Taking taylor expansion of 0 in x 0.671 * * * [progress]: simplifying candidates 0.675 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 0.5 y)) (cbrt (/ 0.5 y))) (cbrt (/ 0.5 y)) (- (* (cbrt (/ 0.5 x)) (* (cbrt (/ 0.5 x)) (cbrt (/ 0.5 x)))))) (fma (- (cbrt (/ 0.5 x))) (* (cbrt (/ 0.5 x)) (cbrt (/ 0.5 x))) (* (cbrt (/ 0.5 x)) (* (cbrt (/ 0.5 x)) (cbrt (/ 0.5 x))))) (fma (* (cbrt (/ 0.5 y)) (cbrt (/ 0.5 y))) (cbrt (/ 0.5 y)) (- (* (sqrt (/ 0.5 x)) (sqrt (/ 0.5 x))))) (fma (- (sqrt (/ 0.5 x))) (sqrt (/ 0.5 x)) (* (sqrt (/ 0.5 x)) (sqrt (/ 0.5 x)))) (fma (* (cbrt (/ 0.5 y)) (cbrt (/ 0.5 y))) (cbrt (/ 0.5 y)) (- (* (/ (cbrt 0.5) (cbrt x)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt 0.5) (cbrt x))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 0.5) (cbrt x)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 0.5 y)) (cbrt (/ 0.5 y))) (cbrt (/ 0.5 y)) (- (* (/ (cbrt 0.5) (sqrt x)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt x))))) (fma (- (/ (cbrt 0.5) (sqrt x))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt x)) (* (/ (cbrt 0.5) (sqrt x)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt x)))) (fma (* (cbrt (/ 0.5 y)) 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y)) (exp (/ 0.5 x))) (log (- (/ 0.5 y) (/ 0.5 x))) (exp (- (/ 0.5 y) (/ 0.5 x))) (* (cbrt (- (/ 0.5 y) (/ 0.5 x))) (cbrt (- (/ 0.5 y) (/ 0.5 x)))) (cbrt (- (/ 0.5 y) (/ 0.5 x))) (* (* (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x))) (- (/ 0.5 y) (/ 0.5 x))) (sqrt (- (/ 0.5 y) (/ 0.5 x))) (sqrt (- (/ 0.5 y) (/ 0.5 x))) (- (* 0.5 x) (* y 0.5)) (* y x) (- (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (+ (* (/ 0.5 y) (/ 0.5 y)) (+ (* (/ 0.5 x) (/ 0.5 x)) (* (/ 0.5 y) (/ 0.5 x)))) (- (/ 0.5 x)) (- (* (/ 0.5 y) (/ 0.5 y)) (* (/ 0.5 x) (/ 0.5 x))) (+ (/ 0.5 y) (/ 0.5 x)) (+ (sqrt (/ 0.5 y)) (sqrt (/ 0.5 x))) (- (sqrt (/ 0.5 y)) (sqrt (/ 0.5 x))) (+ (sqrt (/ 0.5 y)) (/ (sqrt 0.5) (sqrt x))) (- (sqrt (/ 0.5 y)) (/ (sqrt 0.5) (sqrt x))) (+ (/ (sqrt 0.5) (sqrt y)) (sqrt (/ 0.5 x))) (- (/ (sqrt 0.5) (sqrt y)) (sqrt (/ 0.5 x))) (+ (/ (sqrt 0.5) (sqrt y)) (/ (sqrt 0.5) (sqrt x))) (- (/ (sqrt 0.5) (sqrt y)) (/ (sqrt 0.5) (sqrt x))) (- (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (- (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (- 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(sqrt x))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt x)) (+ (- (/ (cbrt 0.5) (sqrt x))) (/ (cbrt 0.5) (sqrt x)))) (- (/ (/ (/ 0.5 (cbrt y)) (cbrt y)) (cbrt y)) (/ (pow (cbrt 0.5) 3) x)) (- (/ (pow (cbrt 0.5) 3) x) (/ (pow (cbrt 0.5) 3) x)) (- (/ (/ (/ 0.5 (cbrt y)) (cbrt y)) (cbrt y)) (/ (/ (/ 0.5 (cbrt x)) (cbrt x)) (cbrt x))) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ 0.5 (cbrt x))) (/ 0.5 (cbrt x)))) (- (/ (/ (/ 0.5 (cbrt y)) (cbrt y)) (cbrt y)) (/ (/ 0.5 (sqrt x)) (sqrt x))) (* (/ 0.5 (sqrt x)) (+ (/ -1 (sqrt x)) (/ 1 (sqrt x)))) (- (/ (/ (/ 0.5 (cbrt y)) (cbrt y)) (cbrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ (/ (/ 0.5 (cbrt y)) (cbrt y)) (cbrt y)) (/ (/ (/ 0.5 (cbrt x)) (cbrt x)) (cbrt x))) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ 0.5 (cbrt x))) (/ 0.5 (cbrt x)))) (- (/ (/ (/ 0.5 (cbrt y)) (cbrt y)) (cbrt y)) (/ (/ 0.5 (sqrt x)) (sqrt x))) (* (/ 0.5 (sqrt x)) (+ (/ -1 (sqrt x)) (/ 1 (sqrt x)))) (- (/ (/ (/ 0.5 (cbrt y)) (cbrt y)) (cbrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ (/ (/ 0.5 (cbrt y)) (cbrt y)) (cbrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ (/ (/ 0.5 (cbrt y)) (cbrt y)) (cbrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (pow (/ (cbrt 0.5) (cbrt x)) 3)) (- (pow (/ (cbrt 0.5) (cbrt x)) 3) (pow (/ (cbrt 0.5) (cbrt x)) 3)) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ (/ (pow (cbrt 0.5) 3) (sqrt x)) (sqrt x))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt x)) (+ (- (/ (cbrt 0.5) (sqrt x))) (/ (cbrt 0.5) (sqrt x)))) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ (pow (cbrt 0.5) 3) x)) (- (/ (pow (cbrt 0.5) 3) x) (/ (pow (cbrt 0.5) 3) x)) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ (/ (/ 0.5 (cbrt x)) (cbrt x)) (cbrt x))) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ 0.5 (cbrt x))) (/ 0.5 (cbrt x)))) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ (/ 0.5 (sqrt x)) (sqrt x))) (* (/ 0.5 (sqrt x)) (+ (/ -1 (sqrt x)) (/ 1 (sqrt x)))) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ (/ (/ 0.5 (cbrt x)) (cbrt x)) (cbrt x))) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ 0.5 (cbrt x))) (/ 0.5 (cbrt x)))) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ (/ 0.5 (sqrt x)) (sqrt x))) (* (/ 0.5 (sqrt x)) (+ (/ -1 (sqrt x)) (/ 1 (sqrt x)))) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ (/ 0.5 (sqrt y)) (sqrt y)) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ 0.5 y) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ 0.5 y) (/ 0.5 x)) (* (/ 0.5 x) 0) (- (/ 0.5 y) (pow (/ (cbrt 0.5) (cbrt x)) 3)) (- (pow (/ (cbrt 0.5) (cbrt x)) 3) (pow (/ (cbrt 0.5) (cbrt x)) 3)) (- (/ 0.5 y) (/ (/ (pow (cbrt 0.5) 3) (sqrt x)) (sqrt x))) (* (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt x)) (+ (- (/ (cbrt 0.5) (sqrt x))) (/ (cbrt 0.5) (sqrt x)))) (- (/ 0.5 y) (/ (pow (cbrt 0.5) 3) x)) (- (/ (pow (cbrt 0.5) 3) x) (/ (pow (cbrt 0.5) 3) x)) (- (/ 0.5 y) (/ (/ (/ 0.5 (cbrt x)) (cbrt x)) (cbrt x))) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ 0.5 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(cbrt (- (/ 0.5 y) (/ 0.5 x))) (cbrt (- (/ 0.5 y) (/ 0.5 x)))) (cbrt (- (/ 0.5 y) (/ 0.5 x))) (pow (- (/ 0.5 y) (/ 0.5 x)) 3) (sqrt (- (/ 0.5 y) (/ 0.5 x))) (sqrt (- (/ 0.5 y) (/ 0.5 x))) (* 0.5 (- x y)) (* y x) (- (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (fma (/ 0.5 y) (/ 0.5 y) (* (/ 0.5 x) (+ (/ 0.5 y) (/ 0.5 x)))) (- (/ 0.5 x)) (- (* (/ 0.5 y) (/ 0.5 y)) (* (/ 0.5 x) (/ 0.5 x))) (+ (/ 0.5 y) (/ 0.5 x)) (+ (sqrt (/ 0.5 y)) (sqrt (/ 0.5 x))) (- (sqrt (/ 0.5 y)) (sqrt (/ 0.5 x))) (+ (sqrt (/ 0.5 y)) (/ (sqrt 0.5) (sqrt x))) (- (sqrt (/ 0.5 y)) (/ (sqrt 0.5) (sqrt x))) (+ (/ (sqrt 0.5) (sqrt y)) (sqrt (/ 0.5 x))) (- (/ (sqrt 0.5) (sqrt y)) (sqrt (/ 0.5 x))) (+ (/ (sqrt 0.5) (sqrt y)) (/ (sqrt 0.5) (sqrt x))) (- (/ (sqrt 0.5) (sqrt y)) (/ (sqrt 0.5) (sqrt x))) (- (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (- (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 1 y) (/ 1 x)) (- (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) 1.549 * * * [progress]: adding candidates to table 1.765 * * [progress]: iteration 3 / 4 1.765 * * * [progress]: picking best candidate 1.766 * * * * [pick]: Picked # 1.766 * * * [progress]: localizing error 1.772 * * * [progress]: generating rewritten candidates 1.772 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.782 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.794 * * * [progress]: generating series expansions 1.794 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.795 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 1.795 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 1.795 * [taylor]: Taking taylor expansion of 0.5 in y 1.795 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 1.795 * [taylor]: Taking taylor expansion of (- x y) in y 1.795 * [taylor]: Taking taylor expansion of x in y 1.795 * [taylor]: Taking taylor expansion of y in y 1.795 * [taylor]: Taking taylor expansion of (* x y) in y 1.795 * [taylor]: Taking taylor expansion of x in y 1.795 * [taylor]: Taking taylor expansion of y in y 1.796 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 1.796 * [taylor]: Taking taylor expansion of 0.5 in x 1.796 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 1.796 * [taylor]: Taking taylor expansion of (- x y) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (* x y) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 1.796 * [taylor]: Taking taylor expansion of 0.5 in x 1.796 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 1.796 * [taylor]: Taking taylor expansion of (- x y) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (* x y) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.797 * [taylor]: Taking taylor expansion of y in x 1.797 * [taylor]: Taking taylor expansion of -0.5 in y 1.799 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 1.799 * [taylor]: Taking taylor expansion of 0.5 in y 1.799 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.799 * [taylor]: Taking taylor expansion of y in y 1.801 * [taylor]: Taking taylor expansion of 0 in y 1.804 * [taylor]: Taking taylor expansion of 0 in y 1.808 * [taylor]: Taking taylor expansion of 0 in y 1.808 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 1.808 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 1.808 * [taylor]: Taking taylor expansion of 0.5 in y 1.808 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 1.808 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.808 * [taylor]: Taking taylor expansion of x in y 1.808 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.808 * [taylor]: Taking taylor expansion of y in y 1.809 * [taylor]: Taking taylor expansion of (* x y) in y 1.809 * [taylor]: Taking taylor expansion of x in y 1.809 * [taylor]: Taking taylor expansion of y in y 1.809 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 1.809 * [taylor]: Taking taylor expansion of 0.5 in x 1.809 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 1.809 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.809 * [taylor]: Taking taylor expansion of (* x y) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.809 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 1.809 * [taylor]: Taking taylor expansion of 0.5 in x 1.809 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 1.809 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.810 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.810 * [taylor]: Taking taylor expansion of y in x 1.810 * [taylor]: Taking taylor expansion of (* x y) in x 1.810 * [taylor]: Taking taylor expansion of x in x 1.810 * [taylor]: Taking taylor expansion of y in x 1.811 * [taylor]: Taking taylor expansion of 0 in y 1.812 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.812 * [taylor]: Taking taylor expansion of 0.5 in y 1.812 * [taylor]: Taking taylor expansion of y in y 1.815 * [taylor]: Taking taylor expansion of (- 0.5) in y 1.815 * [taylor]: Taking taylor expansion of 0.5 in y 1.818 * [taylor]: Taking taylor expansion of 0 in y 1.823 * [taylor]: Taking taylor expansion of 0 in y 1.829 * [taylor]: Taking taylor expansion of 0 in y 1.829 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.829 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 1.829 * [taylor]: Taking taylor expansion of 0.5 in y 1.829 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 1.829 * [taylor]: Taking taylor expansion of x in y 1.829 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.829 * [taylor]: Taking taylor expansion of y in y 1.829 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.829 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.829 * [taylor]: Taking taylor expansion of y in y 1.830 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.830 * [taylor]: Taking taylor expansion of x in y 1.830 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.830 * [taylor]: Taking taylor expansion of 0.5 in x 1.830 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.830 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.830 * [taylor]: Taking taylor expansion of y in x 1.830 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.830 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.830 * [taylor]: Taking taylor expansion of y in x 1.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.830 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.830 * [taylor]: Taking taylor expansion of 0.5 in x 1.830 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.830 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.830 * [taylor]: Taking taylor expansion of y in x 1.830 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.830 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.830 * [taylor]: Taking taylor expansion of y in x 1.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of 0 in y 1.833 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 1.833 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 1.833 * [taylor]: Taking taylor expansion of 0.5 in y 1.833 * [taylor]: Taking taylor expansion of y in y 1.835 * [taylor]: Taking taylor expansion of 0.5 in y 1.839 * [taylor]: Taking taylor expansion of 0 in y 1.847 * [taylor]: Taking taylor expansion of 0 in y 1.852 * [taylor]: Taking taylor expansion of 0 in y 1.853 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.853 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in (x y) around 0 1.853 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in y 1.853 * [taylor]: Taking taylor expansion of 0.5 in y 1.853 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 1.853 * [taylor]: Taking taylor expansion of (- x y) in y 1.853 * [taylor]: Taking taylor expansion of x in y 1.853 * [taylor]: Taking taylor expansion of y in y 1.853 * [taylor]: Taking taylor expansion of x in y 1.853 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 1.853 * [taylor]: Taking taylor expansion of 0.5 in x 1.853 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 1.853 * [taylor]: Taking taylor expansion of (- x y) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of y in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 1.853 * [taylor]: Taking taylor expansion of 0.5 in x 1.853 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 1.853 * [taylor]: Taking taylor expansion of (- x y) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of y in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 1.854 * [taylor]: Taking taylor expansion of -0.5 in y 1.854 * [taylor]: Taking taylor expansion of y in y 1.855 * [taylor]: Taking taylor expansion of 0.5 in y 1.858 * [taylor]: Taking taylor expansion of 0 in y 1.861 * [taylor]: Taking taylor expansion of 0 in y 1.861 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 1.861 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in y 1.861 * [taylor]: Taking taylor expansion of 0.5 in y 1.861 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 1.861 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.861 * [taylor]: Taking taylor expansion of x in y 1.861 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.861 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of x in y 1.862 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 1.862 * [taylor]: Taking taylor expansion of 0.5 in x 1.862 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 1.862 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.862 * [taylor]: Taking taylor expansion of y in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 1.862 * [taylor]: Taking taylor expansion of 0.5 in x 1.862 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 1.862 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.863 * [taylor]: Taking taylor expansion of y in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of 0 in y 1.865 * [taylor]: Taking taylor expansion of 0.5 in y 1.867 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 1.867 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 1.867 * [taylor]: Taking taylor expansion of 0.5 in y 1.867 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.870 * [taylor]: Taking taylor expansion of 0 in y 1.874 * [taylor]: Taking taylor expansion of 0 in y 1.876 * [approximate]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.876 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in y 1.876 * [taylor]: Taking taylor expansion of -0.5 in y 1.876 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 1.876 * [taylor]: Taking taylor expansion of x in y 1.876 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.876 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.876 * [taylor]: Taking taylor expansion of y in y 1.876 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.876 * [taylor]: Taking taylor expansion of x in y 1.876 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 1.876 * [taylor]: Taking taylor expansion of -0.5 in x 1.876 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.876 * [taylor]: Taking taylor expansion of y in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.877 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 1.877 * [taylor]: Taking taylor expansion of -0.5 in x 1.877 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.877 * [taylor]: Taking taylor expansion of y in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.878 * [taylor]: Taking taylor expansion of 0 in y 1.880 * [taylor]: Taking taylor expansion of 0.5 in y 1.882 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 1.882 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 1.882 * [taylor]: Taking taylor expansion of 0.5 in y 1.882 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.882 * [taylor]: Taking taylor expansion of y in y 1.886 * [taylor]: Taking taylor expansion of 0 in y 1.890 * [taylor]: Taking taylor expansion of 0 in y 1.891 * * * [progress]: simplifying candidates 1.893 * [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))) 1.897 * * [simplify]: iteration 0 : 155 enodes (cost 1280 ) 1.923 * * [simplify]: iteration 1 : 390 enodes (cost 1242 ) 1.999 * * [simplify]: iteration 2 : 1468 enodes (cost 1116 ) 2.400 * * [simplify]: iteration done : 5001 enodes (cost 1116 ) 2.401 * [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)) (/ (/ 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)))) (/ (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 2.0) x) (* (* y 2.0) x) (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 (* y (+ x y)))) (* (* x 2.0) (+ x y)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- (/ 0.5 y) (/ 0.5 x)) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) 2.402 * * * [progress]: adding candidates to table 2.564 * [progress]: [Phase 3 of 3] Extracting. 2.564 * * [regime]: Finding splitpoints for: (# #) 2.564 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.564 * * * * [regimes]: Trying to branch on y from (# #) 2.577 * * * * [regimes]: Trying to branch on x from (# #) 2.588 * * * [regime]: Found split indices: #