12.267 * [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 (/ (fabs (- y x)) 2.0)) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 8 ) 0.016 * * [simplify]: iteration 1 : 10 enodes (cost 8 ) 0.017 * * [simplify]: iteration 2 : 11 enodes (cost 8 ) 0.018 * * [simplify]: iteration done : 11 enodes (cost 8 ) 0.018 * [simplify]: Simplified to: (+ x (/ (fabs (- y x)) 2.0)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.032 * [taylor]: Taking taylor expansion of 0.5 in y 0.032 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.033 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.033 * [taylor]: Taking taylor expansion of 0.5 in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.033 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.033 * [taylor]: Taking taylor expansion of 0.5 in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.033 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.033 * [taylor]: Taking taylor expansion of 0.5 in y 0.033 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.034 * [taylor]: Taking taylor expansion of 1 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.037 * [taylor]: Taking taylor expansion of 0.5 in y 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of 0.5 in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of 0.5 in x 0.038 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.039 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of 0.5 in y 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.043 * [taylor]: Taking taylor expansion of 0.5 in y 0.043 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.043 * [taylor]: Taking taylor expansion of 0.5 in x 0.043 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.043 * [taylor]: Taking taylor expansion of 0.5 in x 0.043 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.045 * [taylor]: Taking taylor expansion of 0.5 in y 0.045 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * * * [progress]: simplifying candidates 0.049 * [simplify]: Simplifying using # : (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (* (exp x) (exp (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) 0.051 * * [simplify]: iteration 0 : 33 enodes (cost 213 ) 0.056 * * [simplify]: iteration 1 : 89 enodes (cost 204 ) 0.073 * * [simplify]: iteration 2 : 199 enodes (cost 185 ) 0.102 * * [simplify]: iteration 3 : 456 enodes (cost 185 ) 0.190 * * [simplify]: iteration 4 : 1181 enodes (cost 185 ) 0.486 * * [simplify]: iteration 5 : 3439 enodes (cost 185 ) 1.420 * * [simplify]: iteration done : 5000 enodes (cost 185 ) 1.420 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ x (/ (fabs (- y x)) 2.0)) 3) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma x x (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 1.420 * * * [progress]: adding candidates to table 1.463 * * [progress]: iteration 2 / 4 1.464 * * * [progress]: picking best candidate 1.471 * * * * [pick]: Picked # 1.471 * * * [progress]: localizing error 1.479 * * * [progress]: generating rewritten candidates 1.479 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.532 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.545 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.558 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.568 * * * [progress]: generating series expansions 1.568 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.568 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 1.568 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.569 * [taylor]: Taking taylor expansion of x in y 1.569 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.569 * [taylor]: Taking taylor expansion of 0.5 in y 1.569 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.569 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.569 * [taylor]: Taking taylor expansion of 0.5 in x 1.569 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.569 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.569 * [taylor]: Taking taylor expansion of 0.5 in x 1.569 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.569 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.569 * [taylor]: Taking taylor expansion of 0.5 in y 1.569 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.570 * [taylor]: Taking taylor expansion of 1 in y 1.571 * [taylor]: Taking taylor expansion of 0 in y 1.573 * [taylor]: Taking taylor expansion of 0 in y 1.573 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 1.573 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.574 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.574 * [taylor]: Taking taylor expansion of 0.5 in y 1.574 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.574 * [taylor]: Taking taylor expansion of x in y 1.574 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.574 * [taylor]: Taking taylor expansion of 0.5 in x 1.574 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.574 * [taylor]: Taking taylor expansion of 0.5 in x 1.574 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of 1 in y 1.576 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.576 * [taylor]: Taking taylor expansion of 0.5 in y 1.576 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.577 * [taylor]: Taking taylor expansion of 0 in y 1.579 * [taylor]: Taking taylor expansion of 0 in y 1.579 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 1.579 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.579 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.579 * [taylor]: Taking taylor expansion of 0.5 in y 1.579 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.579 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.579 * [taylor]: Taking taylor expansion of x in y 1.579 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.580 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.580 * [taylor]: Taking taylor expansion of 0.5 in x 1.580 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.580 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.580 * [taylor]: Taking taylor expansion of 0.5 in x 1.580 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of -1 in y 1.582 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.582 * [taylor]: Taking taylor expansion of 0.5 in y 1.582 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.583 * [taylor]: Taking taylor expansion of 0 in y 1.588 * [taylor]: Taking taylor expansion of 0 in y 1.588 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.589 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 1.589 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 1.589 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.589 * [taylor]: Taking taylor expansion of x in y 1.589 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.589 * [taylor]: Taking taylor expansion of 0.5 in y 1.589 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.590 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.590 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.590 * [taylor]: Taking taylor expansion of 0.5 in x 1.590 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.591 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.591 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.591 * [taylor]: Taking taylor expansion of 0.5 in x 1.591 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.592 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 1.592 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 1.592 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.592 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.592 * [taylor]: Taking taylor expansion of 0.5 in y 1.593 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 1.593 * [taylor]: Taking taylor expansion of 1/2 in y 1.593 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 1.593 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 1.593 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 1.593 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.594 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 1.594 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.594 * [taylor]: Taking taylor expansion of 0.5 in y 1.600 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 1.600 * [taylor]: Taking taylor expansion of -1/8 in y 1.600 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 1.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 1.600 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 1.600 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 1.600 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 1.601 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 1.601 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.601 * [taylor]: Taking taylor expansion of 0.5 in y 1.612 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 1.612 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.612 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.612 * [taylor]: Taking taylor expansion of 0.5 in y 1.612 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.612 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.612 * [taylor]: Taking taylor expansion of x in y 1.613 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.613 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.613 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.613 * [taylor]: Taking taylor expansion of 0.5 in x 1.613 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.615 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.615 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.615 * [taylor]: Taking taylor expansion of 0.5 in x 1.615 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.617 * [taylor]: Taking taylor expansion of 0 in y 1.617 * [taylor]: Taking taylor expansion of +nan.0 in y 1.618 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 1.618 * [taylor]: Taking taylor expansion of +nan.0 in y 1.618 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 1.618 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.618 * [taylor]: Taking taylor expansion of 0.5 in y 1.618 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.619 * [taylor]: Taking taylor expansion of +nan.0 in y 1.621 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 1.621 * [taylor]: Taking taylor expansion of +nan.0 in y 1.621 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 1.621 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.621 * [taylor]: Taking taylor expansion of +nan.0 in y 1.621 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.621 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.621 * [taylor]: Taking taylor expansion of +nan.0 in y 1.624 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 1.624 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 1.624 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.624 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.624 * [taylor]: Taking taylor expansion of 0.5 in y 1.624 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.624 * [taylor]: Taking taylor expansion of x in y 1.625 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.626 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.626 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.626 * [taylor]: Taking taylor expansion of 0.5 in x 1.626 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.628 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.628 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.628 * [taylor]: Taking taylor expansion of 0.5 in x 1.628 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of 0 in y 1.630 * [taylor]: Taking taylor expansion of +nan.0 in y 1.632 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 1.632 * [taylor]: Taking taylor expansion of +nan.0 in y 1.632 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 1.632 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.632 * [taylor]: Taking taylor expansion of 0.5 in y 1.632 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.632 * [taylor]: Taking taylor expansion of +nan.0 in y 1.635 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 1.635 * [taylor]: Taking taylor expansion of +nan.0 in y 1.635 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 1.635 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.635 * [taylor]: Taking taylor expansion of +nan.0 in y 1.635 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.635 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.635 * [taylor]: Taking taylor expansion of +nan.0 in y 1.637 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.637 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 1.637 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 1.637 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.637 * [taylor]: Taking taylor expansion of x in y 1.637 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.637 * [taylor]: Taking taylor expansion of 0.5 in y 1.637 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.638 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.638 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.638 * [taylor]: Taking taylor expansion of x in x 1.638 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.638 * [taylor]: Taking taylor expansion of 0.5 in x 1.638 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.639 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.639 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.639 * [taylor]: Taking taylor expansion of 0.5 in x 1.639 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.640 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 1.640 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 1.640 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.640 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.640 * [taylor]: Taking taylor expansion of 0.5 in y 1.642 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 1.642 * [taylor]: Taking taylor expansion of 1/2 in y 1.642 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 1.642 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 1.642 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 1.642 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.642 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 1.642 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.642 * [taylor]: Taking taylor expansion of 0.5 in y 1.648 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 1.648 * [taylor]: Taking taylor expansion of -1/8 in y 1.648 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 1.648 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 1.648 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 1.648 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 1.649 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 1.649 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.649 * [taylor]: Taking taylor expansion of 0.5 in y 1.660 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 1.660 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 1.660 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.660 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.660 * [taylor]: Taking taylor expansion of 0.5 in y 1.660 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.660 * [taylor]: Taking taylor expansion of x in y 1.661 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.661 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.661 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.661 * [taylor]: Taking taylor expansion of 0.5 in x 1.661 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.663 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.663 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.663 * [taylor]: Taking taylor expansion of 0.5 in x 1.663 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of 0 in y 1.665 * [taylor]: Taking taylor expansion of +nan.0 in y 1.666 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 1.666 * [taylor]: Taking taylor expansion of +nan.0 in y 1.666 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 1.667 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.667 * [taylor]: Taking taylor expansion of 0.5 in y 1.667 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.667 * [taylor]: Taking taylor expansion of +nan.0 in y 1.669 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 1.669 * [taylor]: Taking taylor expansion of +nan.0 in y 1.669 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 1.669 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.669 * [taylor]: Taking taylor expansion of +nan.0 in y 1.669 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.669 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.669 * [taylor]: Taking taylor expansion of +nan.0 in y 1.672 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 1.672 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 1.672 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.672 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.672 * [taylor]: Taking taylor expansion of 0.5 in y 1.672 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.672 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.672 * [taylor]: Taking taylor expansion of x in y 1.673 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.673 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.673 * [taylor]: Taking taylor expansion of 0.5 in x 1.673 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.675 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.675 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.675 * [taylor]: Taking taylor expansion of 0.5 in x 1.675 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of 0 in y 1.680 * [taylor]: Taking taylor expansion of +nan.0 in y 1.682 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 1.682 * [taylor]: Taking taylor expansion of +nan.0 in y 1.682 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 1.682 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.682 * [taylor]: Taking taylor expansion of 0.5 in y 1.682 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.682 * [taylor]: Taking taylor expansion of +nan.0 in y 1.685 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 1.685 * [taylor]: Taking taylor expansion of +nan.0 in y 1.685 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 1.685 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.685 * [taylor]: Taking taylor expansion of +nan.0 in y 1.685 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.685 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.685 * [taylor]: Taking taylor expansion of +nan.0 in y 1.687 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.688 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 1.688 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.688 * [taylor]: Taking taylor expansion of x in y 1.688 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.688 * [taylor]: Taking taylor expansion of 0.5 in y 1.688 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.688 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.688 * [taylor]: Taking taylor expansion of 0.5 in x 1.688 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.688 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.688 * [taylor]: Taking taylor expansion of 0.5 in x 1.688 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.688 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.688 * [taylor]: Taking taylor expansion of 0.5 in y 1.688 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.689 * [taylor]: Taking taylor expansion of 1 in y 1.690 * [taylor]: Taking taylor expansion of 0 in y 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.692 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 1.692 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.692 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.692 * [taylor]: Taking taylor expansion of 0.5 in y 1.692 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.692 * [taylor]: Taking taylor expansion of x in y 1.692 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.692 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.692 * [taylor]: Taking taylor expansion of 0.5 in x 1.692 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.693 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.693 * [taylor]: Taking taylor expansion of 0.5 in x 1.693 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of 1 in y 1.694 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.694 * [taylor]: Taking taylor expansion of 0.5 in y 1.694 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.695 * [taylor]: Taking taylor expansion of 0 in y 1.697 * [taylor]: Taking taylor expansion of 0 in y 1.698 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 1.698 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.698 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.698 * [taylor]: Taking taylor expansion of 0.5 in y 1.698 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.698 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.698 * [taylor]: Taking taylor expansion of x in y 1.698 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.698 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.698 * [taylor]: Taking taylor expansion of 0.5 in x 1.698 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.698 * [taylor]: Taking taylor expansion of x in x 1.698 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.698 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.698 * [taylor]: Taking taylor expansion of 0.5 in x 1.698 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.698 * [taylor]: Taking taylor expansion of x in x 1.699 * [taylor]: Taking taylor expansion of -1 in y 1.700 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.700 * [taylor]: Taking taylor expansion of 0.5 in y 1.700 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.702 * [taylor]: Taking taylor expansion of 0 in y 1.704 * [taylor]: Taking taylor expansion of 0 in y 1.704 * * * [progress]: simplifying candidates 1.706 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (log1p (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ 1 1) (+ (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (log (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (exp (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (* (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) (* (sqrt (- x (/ (fabs (- y x)) 2.0))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (- x (/ (fabs (- y x)) 2.0))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (* (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ 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(cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (- (+ (* 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x)))))) (* (sqrt (fabs (- y x))) (sqrt 0.5))) (* 1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3)))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x)))))) (* (sqrt (fabs (- y x))) (sqrt 0.5))) (* 1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3)))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) 1.712 * * [simplify]: iteration 0 : 135 enodes (cost 2667 ) 1.736 * * [simplify]: iteration 1 : 287 enodes (cost 1913 ) 1.787 * * [simplify]: iteration 2 : 857 enodes (cost 1765 ) 2.017 * * [simplify]: iteration 3 : 2901 enodes (cost 1708 ) 2.797 * * [simplify]: iteration done : 5000 enodes (cost 1708 ) 2.798 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) 1 1 2 1 1 (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 4) (+ x (/ (fabs (- y x)) 2.0)) (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 4) 2 (log (+ x (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ (/ (fabs (- y x)) 2.0) x)) (pow (+ (/ (fabs (- y x)) 2.0) x) 3) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ (/ (fabs (- y x)) 2.0) x) 3) (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 4) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow (/ (fabs (- y x)) 2.0) 3) (pow x 3)) (fma x x (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x))) (* (hypot (pow (/ (fabs (- y x)) 2.0) 3/2) (pow x 3/2)) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (fma x x (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x)))) (sqrt (- x (/ 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x)) 0.5 x) (fma 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x))))) (fma (sqrt 0.5) (sqrt (fabs (- y x))) (* (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3)))) -1/8))) (- (+ (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))) (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))))) (- (+ (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))) (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))))) (fma 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x))))) (fma (sqrt 0.5) (sqrt (fabs (- y x))) (* (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3)))) -1/8))) (- (+ (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))) (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))))) (- (+ (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))) (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))))) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 2.799 * * * [progress]: adding candidates to table 3.064 * * [progress]: iteration 3 / 4 3.064 * * * [progress]: picking best candidate 3.069 * * * * [pick]: Picked # 3.069 * * * [progress]: localizing error 3.083 * * * [progress]: generating rewritten candidates 3.083 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 3.084 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 3.084 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 3.085 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.093 * * * [progress]: generating series expansions 3.093 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 3.093 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.093 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.093 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.093 * [taylor]: Taking taylor expansion of 1/3 in x 3.093 * [taylor]: Taking taylor expansion of (log x) in x 3.093 * [taylor]: Taking taylor expansion of x in x 3.094 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.094 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.094 * [taylor]: Taking taylor expansion of 1/3 in x 3.094 * [taylor]: Taking taylor expansion of (log x) in x 3.094 * [taylor]: Taking taylor expansion of x in x 3.150 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.150 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.150 * [taylor]: Taking taylor expansion of 1/3 in x 3.150 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.150 * [taylor]: Taking taylor expansion of x in x 3.151 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.151 * [taylor]: Taking taylor expansion of 1/3 in x 3.151 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.151 * [taylor]: Taking taylor expansion of x in x 3.209 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.209 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.209 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.209 * [taylor]: Taking taylor expansion of -1 in x 3.210 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.210 * [taylor]: Taking taylor expansion of 1/3 in x 3.210 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.210 * [taylor]: Taking taylor expansion of x in x 3.211 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.211 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.211 * [taylor]: Taking taylor expansion of -1 in x 3.212 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.212 * [taylor]: Taking taylor expansion of 1/3 in x 3.212 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.212 * [taylor]: Taking taylor expansion of x in x 3.279 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 3.279 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.279 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.280 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.280 * [taylor]: Taking taylor expansion of 1/3 in x 3.280 * [taylor]: Taking taylor expansion of (log x) in x 3.280 * [taylor]: Taking taylor expansion of x in x 3.280 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.280 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.280 * [taylor]: Taking taylor expansion of 1/3 in x 3.280 * [taylor]: Taking taylor expansion of (log x) in x 3.280 * [taylor]: Taking taylor expansion of x in x 3.330 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.330 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.330 * [taylor]: Taking taylor expansion of 1/3 in x 3.330 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.330 * [taylor]: Taking taylor expansion of x in x 3.331 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.331 * [taylor]: Taking taylor expansion of 1/3 in x 3.331 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.331 * [taylor]: Taking taylor expansion of x in x 3.389 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.389 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.389 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.389 * [taylor]: Taking taylor expansion of -1 in x 3.390 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.390 * [taylor]: Taking taylor expansion of 1/3 in x 3.390 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.390 * [taylor]: Taking taylor expansion of x in x 3.391 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.391 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.391 * [taylor]: Taking taylor expansion of -1 in x 3.392 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.392 * [taylor]: Taking taylor expansion of 1/3 in x 3.392 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.392 * [taylor]: Taking taylor expansion of x in x 3.461 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 3.461 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.461 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.461 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.461 * [taylor]: Taking taylor expansion of 1/3 in x 3.461 * [taylor]: Taking taylor expansion of (log x) in x 3.461 * [taylor]: Taking taylor expansion of x in x 3.462 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.462 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.462 * [taylor]: Taking taylor expansion of 1/3 in x 3.462 * [taylor]: Taking taylor expansion of (log x) in x 3.462 * [taylor]: Taking taylor expansion of x in x 3.515 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.515 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.516 * [taylor]: Taking taylor expansion of 1/3 in x 3.516 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.516 * [taylor]: Taking taylor expansion of x in x 3.516 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.517 * [taylor]: Taking taylor expansion of 1/3 in x 3.517 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.517 * [taylor]: Taking taylor expansion of x in x 3.570 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.570 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.570 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.570 * [taylor]: Taking taylor expansion of -1 in x 3.571 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.571 * [taylor]: Taking taylor expansion of 1/3 in x 3.571 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.571 * [taylor]: Taking taylor expansion of x in x 3.572 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.572 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.572 * [taylor]: Taking taylor expansion of -1 in x 3.573 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.573 * [taylor]: Taking taylor expansion of 1/3 in x 3.573 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.573 * [taylor]: Taking taylor expansion of x in x 3.640 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.640 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 3.640 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 3.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 3.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 3.640 * [taylor]: Taking taylor expansion of 1/3 in x 3.640 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 3.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.640 * [taylor]: Taking taylor expansion of x in x 3.641 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 3.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 3.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 3.641 * [taylor]: Taking taylor expansion of 1/3 in x 3.641 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 3.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.641 * [taylor]: Taking taylor expansion of x in x 3.696 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 3.696 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.696 * [taylor]: Taking taylor expansion of 1/3 in x 3.696 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.696 * [taylor]: Taking taylor expansion of x in x 3.697 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.697 * [taylor]: Taking taylor expansion of 1/3 in x 3.697 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.697 * [taylor]: Taking taylor expansion of x in x 3.757 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 3.757 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 3.757 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 3.757 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.757 * [taylor]: Taking taylor expansion of -1 in x 3.757 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.757 * [taylor]: Taking taylor expansion of 1/3 in x 3.758 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.758 * [taylor]: Taking taylor expansion of x in x 3.759 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 3.759 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 3.759 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.759 * [taylor]: Taking taylor expansion of -1 in x 3.759 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.760 * [taylor]: Taking taylor expansion of 1/3 in x 3.760 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.760 * [taylor]: Taking taylor expansion of x in x 3.837 * * * [progress]: simplifying candidates 3.839 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 3.841 * * [simplify]: iteration 0 : 65 enodes (cost 554 ) 3.854 * * [simplify]: iteration 1 : 122 enodes (cost 495 ) 3.881 * * [simplify]: iteration 2 : 367 enodes (cost 423 ) 3.994 * * [simplify]: iteration 3 : 1231 enodes (cost 405 ) 4.595 * * [simplify]: iteration 4 : 4187 enodes (cost 400 ) 7.728 * * [simplify]: iteration done : 5000 enodes (cost 400 ) 7.729 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (pow x 2/3)) (log1p (pow x 2/3)) 2/3 2 (pow x 2) (pow x 2/3) 2 (log (pow x 2/3)) (log (pow x 2/3)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (pow x 2/3)) (cbrt (pow x 2/3))) (cbrt (pow x 2/3)) (pow x 2) (fabs (cbrt x)) (fabs (cbrt x)) (* (cbrt (pow x 2/3)) (cbrt (pow x 2/3))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt x) (cbrt x) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (cbrt x) (cbrt x) 2/3 2 (* (cbrt (pow x 2/3)) (cbrt x)) (* (cbrt x) (cbrt (sqrt x))) (cbrt x) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (cbrt x) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow x 2/3) (pow (cbrt -1) 2)) 7.729 * * * [progress]: adding candidates to table 8.007 * * [progress]: iteration 4 / 4 8.007 * * * [progress]: picking best candidate 8.009 * * * * [pick]: Picked # 8.009 * * * [progress]: localizing error 8.017 * * * [progress]: generating rewritten candidates 8.017 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 8.017 * * * [progress]: generating series expansions 8.017 * * * * [progress]: [ 1 / 1 ] generating series at (2) 8.018 * [approximate]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in (x y) around 0 8.018 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in y 8.018 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 8.018 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in y 8.018 * [taylor]: Taking taylor expansion of (sqrt x) in y 8.018 * [taylor]: Taking taylor expansion of x in y 8.018 * [taylor]: Taking taylor expansion of (sqrt x) in y 8.018 * [taylor]: Taking taylor expansion of x in y 8.018 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 8.018 * [taylor]: Taking taylor expansion of 0.5 in y 8.018 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 8.018 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in x 8.018 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 8.018 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 8.018 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.018 * [taylor]: Taking taylor expansion of x in x 8.020 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.020 * [taylor]: Taking taylor expansion of x in x 8.021 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 8.021 * [taylor]: Taking taylor expansion of 0.5 in x 8.021 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 8.021 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in x 8.021 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 8.021 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 8.021 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.021 * [taylor]: Taking taylor expansion of x in x 8.022 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.022 * [taylor]: Taking taylor expansion of x in x 8.024 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 8.024 * [taylor]: Taking taylor expansion of 0.5 in x 8.024 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 8.024 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 8.024 * [taylor]: Taking taylor expansion of 0.5 in y 8.024 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 8.025 * [taylor]: Taking taylor expansion of 0 in y 8.032 * [taylor]: Taking taylor expansion of (- +nan.0) in y 8.032 * [taylor]: Taking taylor expansion of +nan.0 in y 8.042 * [taylor]: Taking taylor expansion of (- +nan.0) in y 8.042 * [taylor]: Taking taylor expansion of +nan.0 in y 8.044 * [approximate]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in (x y) around 0 8.044 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in y 8.044 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 8.044 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in y 8.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 8.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.044 * [taylor]: Taking taylor expansion of x in y 8.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 8.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.044 * [taylor]: Taking taylor expansion of x in y 8.044 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 8.044 * [taylor]: Taking taylor expansion of 0.5 in y 8.044 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 8.044 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 8.044 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 8.044 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 8.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.044 * [taylor]: Taking taylor expansion of x in x 8.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.046 * [taylor]: Taking taylor expansion of x in x 8.047 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 8.047 * [taylor]: Taking taylor expansion of 0.5 in x 8.047 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 8.047 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 8.047 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 8.047 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 8.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.048 * [taylor]: Taking taylor expansion of x in x 8.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.049 * [taylor]: Taking taylor expansion of x in x 8.050 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 8.050 * [taylor]: Taking taylor expansion of 0.5 in x 8.050 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 8.051 * [taylor]: Taking taylor expansion of 0 in y 8.051 * [taylor]: Taking taylor expansion of 0 in y 8.061 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 8.061 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 8.061 * [taylor]: Taking taylor expansion of 0.5 in y 8.061 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 8.062 * [taylor]: Taking taylor expansion of +nan.0 in y 8.072 * [taylor]: Taking taylor expansion of (- +nan.0) in y 8.072 * [taylor]: Taking taylor expansion of +nan.0 in y 8.084 * [taylor]: Taking taylor expansion of (- +nan.0) in y 8.084 * [taylor]: Taking taylor expansion of +nan.0 in y 8.086 * [approximate]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in (x y) around 0 8.086 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in y 8.086 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 8.086 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in y 8.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 8.086 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.086 * [taylor]: Taking taylor expansion of -1 in y 8.086 * [taylor]: Taking taylor expansion of x in y 8.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 8.086 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.086 * [taylor]: Taking taylor expansion of -1 in y 8.086 * [taylor]: Taking taylor expansion of x in y 8.086 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 8.086 * [taylor]: Taking taylor expansion of 0.5 in y 8.086 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 8.086 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 8.087 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 8.087 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 8.087 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.087 * [taylor]: Taking taylor expansion of -1 in x 8.087 * [taylor]: Taking taylor expansion of x in x 8.088 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.088 * [taylor]: Taking taylor expansion of -1 in x 8.088 * [taylor]: Taking taylor expansion of x in x 8.089 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 8.089 * [taylor]: Taking taylor expansion of 0.5 in x 8.089 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 8.090 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 8.090 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 8.090 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 8.090 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.090 * [taylor]: Taking taylor expansion of -1 in x 8.090 * [taylor]: Taking taylor expansion of x in x 8.091 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.091 * [taylor]: Taking taylor expansion of -1 in x 8.091 * [taylor]: Taking taylor expansion of x in x 8.092 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 8.092 * [taylor]: Taking taylor expansion of 0.5 in x 8.092 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 8.093 * [taylor]: Taking taylor expansion of 0 in y 8.094 * [taylor]: Taking taylor expansion of 0 in y 8.100 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 8.100 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 8.100 * [taylor]: Taking taylor expansion of 0.5 in y 8.100 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 8.100 * [taylor]: Taking taylor expansion of +nan.0 in y 8.110 * [taylor]: Taking taylor expansion of (- +nan.0) in y 8.110 * [taylor]: Taking taylor expansion of +nan.0 in y 8.123 * [taylor]: Taking taylor expansion of (- +nan.0) in y 8.123 * [taylor]: Taking taylor expansion of +nan.0 in y 8.124 * * * [progress]: simplifying candidates 8.125 * [simplify]: Simplifying using # : (expm1 (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (log1p (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (sqrt x) (sqrt x)) (log (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (exp (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0)))) (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (* (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0)) (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (- (* 0.5 (fabs (- y x))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 3))))) (- (* 0.5 (fabs (- y x))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (* 0.5 (fabs (- y x))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 8.126 * * [simplify]: iteration 0 : 40 enodes (cost 216 ) 8.132 * * [simplify]: iteration 1 : 89 enodes (cost 171 ) 8.150 * * [simplify]: iteration 2 : 238 enodes (cost 145 )