33.519 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (+ x (/ (fabs (- y x)) 2.0)) 0.016 * * [simplify]: iteration 0 : 7 enodes (cost 8 ) 0.017 * * [simplify]: iteration 1 : 10 enodes (cost 8 ) 0.018 * * [simplify]: iteration 2 : 11 enodes (cost 8 ) 0.019 * * [simplify]: iteration done : 11 enodes (cost 8 ) 0.019 * [simplify]: Simplified to: (+ x (/ (fabs (- y x)) 2.0)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [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 0.033 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.033 * [taylor]: Taking taylor expansion of x in y 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 0.033 * [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 0.042 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 0.042 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.042 * [taylor]: Taking taylor expansion of 0.5 in y 0.042 * [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 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * * * [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)))) 0.050 * * [simplify]: iteration 0 : 33 enodes (cost 213 ) 0.055 * * [simplify]: iteration 1 : 89 enodes (cost 204 ) 0.068 * * [simplify]: iteration 2 : 199 enodes (cost 185 ) 0.101 * * [simplify]: iteration 3 : 454 enodes (cost 185 ) 0.199 * * [simplify]: iteration 4 : 1164 enodes (cost 185 ) 0.540 * * [simplify]: iteration 5 : 3317 enodes (cost 185 ) 1.423 * * [simplify]: iteration done : 5000 enodes (cost 185 ) 1.423 * [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) 1.423 * * * [progress]: adding candidates to table 1.468 * * [progress]: iteration 2 / 4 1.468 * * * [progress]: picking best candidate 1.475 * * * * [pick]: Picked # 1.475 * * * [progress]: localizing error 1.483 * * * [progress]: generating rewritten candidates 1.483 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.534 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.545 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.557 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.567 * * * [progress]: generating series expansions 1.567 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.567 * [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 1.568 * [taylor]: Taking taylor expansion of x in y 1.568 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.568 * [taylor]: Taking taylor expansion of 0.5 in y 1.568 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.568 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.568 * [taylor]: Taking taylor expansion of 0.5 in x 1.568 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.568 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.568 * [taylor]: Taking taylor expansion of 0.5 in x 1.568 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.568 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.568 * [taylor]: Taking taylor expansion of 0.5 in y 1.568 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.569 * [taylor]: Taking taylor expansion of 1 in y 1.570 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 1.572 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.572 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.572 * [taylor]: Taking taylor expansion of 0.5 in y 1.572 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.573 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.573 * [taylor]: Taking taylor expansion of x in y 1.573 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.573 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.573 * [taylor]: Taking taylor expansion of 0.5 in x 1.573 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.573 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.573 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.573 * [taylor]: Taking taylor expansion of 0.5 in x 1.573 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of 1 in y 1.575 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.575 * [taylor]: Taking taylor expansion of 0.5 in y 1.575 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.576 * [taylor]: Taking taylor expansion of 0 in y 1.578 * [taylor]: Taking taylor expansion of 0 in y 1.578 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 1.578 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.578 * [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 1.579 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.579 * [taylor]: Taking taylor expansion of 0.5 in x 1.579 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.582 * [taylor]: Taking taylor expansion of 0.5 in x 1.582 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of -1 in y 1.584 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.584 * [taylor]: Taking taylor expansion of 0.5 in y 1.584 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.585 * [taylor]: Taking taylor expansion of 0 in y 1.587 * [taylor]: Taking taylor expansion of 0 in y 1.587 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.587 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 1.587 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 1.587 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.588 * [taylor]: Taking taylor expansion of x in y 1.588 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.588 * [taylor]: Taking taylor expansion of 0.5 in y 1.588 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.588 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.589 * [taylor]: Taking taylor expansion of 0.5 in x 1.589 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.589 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.589 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.589 * [taylor]: Taking taylor expansion of 0.5 in x 1.589 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.590 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 1.590 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 1.590 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.591 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.591 * [taylor]: Taking taylor expansion of 0.5 in y 1.592 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 1.592 * [taylor]: Taking taylor expansion of 1/2 in y 1.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 1.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 1.592 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 1.592 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.592 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) 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 1.598 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 1.598 * [taylor]: Taking taylor expansion of -1/8 in y 1.598 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 1.598 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 1.598 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 1.598 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 1.598 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.599 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 1.599 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 1.599 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.599 * [taylor]: Taking taylor expansion of 0.5 in y 1.609 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 1.610 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 1.610 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.610 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.610 * [taylor]: Taking taylor expansion of 0.5 in y 1.610 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.610 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.610 * [taylor]: Taking taylor expansion of x in y 1.611 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.611 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.611 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.611 * [taylor]: Taking taylor expansion of 0.5 in x 1.611 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 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 1.614 * [taylor]: Taking taylor expansion of 0 in y 1.614 * [taylor]: Taking taylor expansion of +nan.0 in y 1.616 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 1.616 * [taylor]: Taking taylor expansion of +nan.0 in y 1.616 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 1.616 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.616 * [taylor]: Taking taylor expansion of 0.5 in y 1.616 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.616 * [taylor]: Taking taylor expansion of +nan.0 in y 1.619 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 1.619 * [taylor]: Taking taylor expansion of +nan.0 in y 1.619 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 1.619 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.619 * [taylor]: Taking taylor expansion of +nan.0 in y 1.619 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.619 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.619 * [taylor]: Taking taylor expansion of +nan.0 in y 1.621 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 1.621 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 1.621 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.622 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.622 * [taylor]: Taking taylor expansion of 0.5 in y 1.622 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.622 * [taylor]: Taking taylor expansion of x in y 1.623 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.623 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.623 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.623 * [taylor]: Taking taylor expansion of 0.5 in x 1.623 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.625 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.625 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.625 * [taylor]: Taking taylor expansion of 0.5 in x 1.625 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of 0 in y 1.627 * [taylor]: Taking taylor expansion of +nan.0 in y 1.629 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 1.629 * [taylor]: Taking taylor expansion of +nan.0 in y 1.629 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 1.629 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.629 * [taylor]: Taking taylor expansion of 0.5 in y 1.629 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.629 * [taylor]: Taking taylor expansion of +nan.0 in y 1.632 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (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 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 1.632 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.632 * [taylor]: Taking taylor expansion of +nan.0 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 1.632 * [taylor]: Taking taylor expansion of +nan.0 in y 1.634 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.635 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 1.635 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 1.635 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.635 * [taylor]: Taking taylor expansion of x in y 1.635 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.635 * [taylor]: Taking taylor expansion of 0.5 in y 1.635 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.635 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.636 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.636 * [taylor]: Taking taylor expansion of 0.5 in x 1.636 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.636 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.636 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.637 * [taylor]: Taking taylor expansion of 0.5 in x 1.637 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.637 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 1.637 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 1.637 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.638 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.638 * [taylor]: Taking taylor expansion of 0.5 in y 1.639 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 1.639 * [taylor]: Taking taylor expansion of 1/2 in y 1.639 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 1.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 1.639 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 1.639 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.639 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 1.639 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.639 * [taylor]: Taking taylor expansion of 0.5 in y 1.645 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 1.645 * [taylor]: Taking taylor expansion of -1/8 in y 1.645 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 1.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 1.645 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 1.645 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 1.646 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 1.646 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.646 * [taylor]: Taking taylor expansion of 0.5 in y 1.656 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 1.656 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 1.656 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.656 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.656 * [taylor]: Taking taylor expansion of 0.5 in y 1.656 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.656 * [taylor]: Taking taylor expansion of x in y 1.657 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.657 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.658 * [taylor]: Taking taylor expansion of 0.5 in x 1.658 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.659 * [taylor]: Taking taylor expansion of 0.5 in x 1.660 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.661 * [taylor]: Taking taylor expansion of 0 in y 1.661 * [taylor]: Taking taylor expansion of +nan.0 in y 1.663 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 1.663 * [taylor]: Taking taylor expansion of +nan.0 in y 1.663 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 1.663 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.663 * [taylor]: Taking taylor expansion of 0.5 in y 1.663 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.663 * [taylor]: Taking taylor expansion of +nan.0 in y 1.666 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (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 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 1.666 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.666 * [taylor]: Taking taylor expansion of +nan.0 in y 1.666 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.666 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.666 * [taylor]: Taking taylor expansion of +nan.0 in y 1.668 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 1.668 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 1.668 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.668 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.668 * [taylor]: Taking taylor expansion of 0.5 in y 1.668 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.668 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.668 * [taylor]: Taking taylor expansion of x in y 1.672 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.672 * [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 1.677 * [taylor]: Taking taylor expansion of 0 in y 1.677 * [taylor]: Taking taylor expansion of +nan.0 in y 1.678 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 1.678 * [taylor]: Taking taylor expansion of +nan.0 in y 1.678 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 1.678 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.678 * [taylor]: Taking taylor expansion of 0.5 in y 1.679 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.679 * [taylor]: Taking taylor expansion of +nan.0 in y 1.681 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 1.681 * [taylor]: Taking taylor expansion of +nan.0 in y 1.681 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 1.681 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.681 * [taylor]: Taking taylor expansion of +nan.0 in y 1.681 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.681 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.681 * [taylor]: Taking taylor expansion of +nan.0 in y 1.684 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.684 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 1.684 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.684 * [taylor]: Taking taylor expansion of x in y 1.684 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.684 * [taylor]: Taking taylor expansion of 0.5 in y 1.684 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.684 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.684 * [taylor]: Taking taylor expansion of 0.5 in x 1.684 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.684 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.684 * [taylor]: Taking taylor expansion of 0.5 in x 1.684 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.684 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.684 * [taylor]: Taking taylor expansion of 0.5 in y 1.684 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.685 * [taylor]: Taking taylor expansion of 1 in y 1.686 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 1.688 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.688 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.688 * [taylor]: Taking taylor expansion of 0.5 in y 1.688 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.688 * [taylor]: Taking taylor expansion of x in y 1.688 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.688 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.688 * [taylor]: Taking taylor expansion of 0.5 in x 1.688 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.689 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.689 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.689 * [taylor]: Taking taylor expansion of 0.5 in x 1.689 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of 1 in y 1.690 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.690 * [taylor]: Taking taylor expansion of 0.5 in y 1.690 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.693 * [taylor]: Taking taylor expansion of 0 in y 1.694 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 1.694 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.694 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.694 * [taylor]: Taking taylor expansion of 0.5 in y 1.694 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.694 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.694 * [taylor]: Taking taylor expansion of x in y 1.694 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.694 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.694 * [taylor]: Taking taylor expansion of 0.5 in x 1.694 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.694 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.694 * [taylor]: Taking taylor expansion of 0.5 in x 1.694 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.695 * [taylor]: Taking taylor expansion of -1 in y 1.696 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.696 * [taylor]: Taking taylor expansion of 0.5 in y 1.696 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.698 * [taylor]: Taking taylor expansion of 0 in y 1.700 * [taylor]: Taking taylor expansion of 0 in y 1.700 * * * [progress]: simplifying candidates 1.702 * [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)))) 1.708 * * [simplify]: iteration 0 : 135 enodes (cost 2667 ) 1.740 * * [simplify]: iteration 1 : 284 enodes (cost 1909 ) 1.791 * * [simplify]: iteration 2 : 779 enodes (cost 1765 ) 2.150 * * [simplify]: iteration 3 : 2706 enodes (cost 1726 ) 2.789 * * [simplify]: iteration done : 5001 enodes (cost 1726 ) 2.790 * [simplify]: Simplified to: (expm1 (+ (/ (fabs (- y x)) 2.0) x)) (log1p (+ x (/ (fabs (- y x)) 2.0))) 1 1 2 1 1 (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ (/ (fabs (- y x)) 2.0) x) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) 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) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ (/ (fabs (- y x)) 2.0) x)) (sqrt (+ (/ (fabs (- y x)) 2.0) x)) (+ (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)) 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x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x))))) (fma (sqrt 0.5) (sqrt (fabs (- y x))) (* -1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))))) (- (- (+ (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))) (fma (/ (fabs (- y x)) x) +nan.0 +nan.0)) (/ +nan.0 x))) (- (- (+ (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))) (fma (/ (fabs (- y x)) x) +nan.0 +nan.0)) (/ +nan.0 x))) (fma 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x))))) (fma (sqrt 0.5) (sqrt (fabs (- y x))) (* -1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))))) (- (- (+ (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))) (fma (/ (fabs (- y x)) x) +nan.0 +nan.0)) (/ +nan.0 x))) (- (- (+ (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))) (fma (/ (fabs (- y x)) x) +nan.0 +nan.0)) (/ +nan.0 x))) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 2.791 * * * [progress]: adding candidates to table 3.266 * * [progress]: iteration 3 / 4 3.266 * * * [progress]: picking best candidate 3.271 * * * * [pick]: Picked # 3.271 * * * [progress]: localizing error 3.284 * * * [progress]: generating rewritten candidates 3.284 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 3.285 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 3.286 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 3.286 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.294 * * * [progress]: generating series expansions 3.294 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 3.294 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.294 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.294 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.294 * [taylor]: Taking taylor expansion of 1/3 in x 3.294 * [taylor]: Taking taylor expansion of (log x) in x 3.294 * [taylor]: Taking taylor expansion of x in x 3.295 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.295 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.295 * [taylor]: Taking taylor expansion of 1/3 in x 3.295 * [taylor]: Taking taylor expansion of (log x) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.348 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.348 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.348 * [taylor]: Taking taylor expansion of 1/3 in x 3.348 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.348 * [taylor]: Taking taylor expansion of x in x 3.349 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.349 * [taylor]: Taking taylor expansion of 1/3 in x 3.349 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.349 * [taylor]: Taking taylor expansion of x in x 3.405 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.405 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.405 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.405 * [taylor]: Taking taylor expansion of -1 in x 3.406 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.406 * [taylor]: Taking taylor expansion of 1/3 in x 3.406 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.406 * [taylor]: Taking taylor expansion of x in x 3.406 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.407 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.407 * [taylor]: Taking taylor expansion of -1 in x 3.407 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.407 * [taylor]: Taking taylor expansion of 1/3 in x 3.407 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.407 * [taylor]: Taking taylor expansion of x in x 3.478 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 3.478 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.478 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.478 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.478 * [taylor]: Taking taylor expansion of 1/3 in x 3.478 * [taylor]: Taking taylor expansion of (log x) in x 3.478 * [taylor]: Taking taylor expansion of x in x 3.479 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.479 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.479 * [taylor]: Taking taylor expansion of 1/3 in x 3.479 * [taylor]: Taking taylor expansion of (log x) in x 3.479 * [taylor]: Taking taylor expansion of x in x 3.530 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.530 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.530 * [taylor]: Taking taylor expansion of 1/3 in x 3.530 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.530 * [taylor]: Taking taylor expansion of x in x 3.531 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.531 * [taylor]: Taking taylor expansion of 1/3 in x 3.531 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.531 * [taylor]: Taking taylor expansion of x in x 3.592 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.592 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.592 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.592 * [taylor]: Taking taylor expansion of -1 in x 3.593 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.593 * [taylor]: Taking taylor expansion of 1/3 in x 3.593 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.593 * [taylor]: Taking taylor expansion of x in x 3.594 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.594 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.594 * [taylor]: Taking taylor expansion of -1 in x 3.595 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.595 * [taylor]: Taking taylor expansion of 1/3 in x 3.595 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.595 * [taylor]: Taking taylor expansion of x in x 3.666 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 3.667 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.667 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.667 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.667 * [taylor]: Taking taylor expansion of 1/3 in x 3.667 * [taylor]: Taking taylor expansion of (log x) in x 3.667 * [taylor]: Taking taylor expansion of x in x 3.667 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.667 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.667 * [taylor]: Taking taylor expansion of 1/3 in x 3.667 * [taylor]: Taking taylor expansion of (log x) in x 3.667 * [taylor]: Taking taylor expansion of x in x 3.725 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.725 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.725 * [taylor]: Taking taylor expansion of 1/3 in x 3.725 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.725 * [taylor]: Taking taylor expansion of x in x 3.726 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.726 * [taylor]: Taking taylor expansion of 1/3 in x 3.726 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.726 * [taylor]: Taking taylor expansion of x in x 3.780 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.780 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.780 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.780 * [taylor]: Taking taylor expansion of -1 in x 3.781 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.781 * [taylor]: Taking taylor expansion of 1/3 in x 3.781 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.782 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.782 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.782 * [taylor]: Taking taylor expansion of -1 in x 3.783 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.783 * [taylor]: Taking taylor expansion of 1/3 in x 3.783 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.783 * [taylor]: Taking taylor expansion of x in x 3.854 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.854 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 3.854 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 3.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 3.854 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 3.854 * [taylor]: Taking taylor expansion of 1/3 in x 3.854 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 3.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.854 * [taylor]: Taking taylor expansion of x in x 3.855 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 3.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 3.855 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 3.855 * [taylor]: Taking taylor expansion of 1/3 in x 3.855 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 3.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.855 * [taylor]: Taking taylor expansion of x in x 3.917 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 3.917 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.917 * [taylor]: Taking taylor expansion of 1/3 in x 3.917 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.917 * [taylor]: Taking taylor expansion of x in x 3.918 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.918 * [taylor]: Taking taylor expansion of 1/3 in x 3.918 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.918 * [taylor]: Taking taylor expansion of x in x 3.984 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 3.984 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 3.984 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 3.984 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.984 * [taylor]: Taking taylor expansion of -1 in x 3.985 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.985 * [taylor]: Taking taylor expansion of 1/3 in x 3.985 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.985 * [taylor]: Taking taylor expansion of x in x 3.986 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 3.986 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 3.986 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.986 * [taylor]: Taking taylor expansion of -1 in x 3.987 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.987 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.987 * [taylor]: Taking taylor expansion of 1/3 in x 3.987 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.987 * [taylor]: Taking taylor expansion of x in x 4.067 * * * [progress]: simplifying candidates 4.068 * [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)) 4.071 * * [simplify]: iteration 0 : 65 enodes (cost 554 ) 4.087 * * [simplify]: iteration 1 : 119 enodes (cost 443 ) 4.112 * * [simplify]: iteration 2 : 329 enodes (cost 423 ) 4.274 * * [simplify]: iteration 3 : 1179 enodes (cost 405 ) 5.045 * * [simplify]: iteration 4 : 3769 enodes (cost 400 ) 6.980 * * [simplify]: iteration done : 5000 enodes (cost 400 ) 6.981 * [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 (* x x) (pow x 2/3) 2 (log (pow x 2/3)) (log (pow x 2/3)) (exp (pow x 2/3)) (* x x) (* (cbrt (pow x 2/3)) (cbrt (pow x 2/3))) (cbrt (pow x 2/3)) (* x x) (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))) (* (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 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)) 6.981 * * * [progress]: adding candidates to table 7.268 * * [progress]: iteration 4 / 4 7.268 * * * [progress]: picking best candidate 7.270 * * * * [pick]: Picked # 7.270 * * * [progress]: localizing error 7.277 * * * [progress]: generating rewritten candidates 7.277 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 7.278 * * * [progress]: generating series expansions 7.278 * * * * [progress]: [ 1 / 1 ] generating series at (2) 7.278 * [approximate]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in (x y) around 0 7.278 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in y 7.278 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 7.278 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in y 7.278 * [taylor]: Taking taylor expansion of (sqrt x) in y 7.278 * [taylor]: Taking taylor expansion of x in y 7.278 * [taylor]: Taking taylor expansion of (sqrt x) in y 7.278 * [taylor]: Taking taylor expansion of x in y 7.278 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 7.279 * [taylor]: Taking taylor expansion of 0.5 in y 7.279 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 7.279 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in x 7.279 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 7.279 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 7.279 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.279 * [taylor]: Taking taylor expansion of x in x 7.280 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.280 * [taylor]: Taking taylor expansion of x in x 7.281 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 7.281 * [taylor]: Taking taylor expansion of 0.5 in x 7.281 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 7.281 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in x 7.282 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 7.282 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 7.282 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.282 * [taylor]: Taking taylor expansion of x in x 7.283 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.283 * [taylor]: Taking taylor expansion of x in x 7.284 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 7.284 * [taylor]: Taking taylor expansion of 0.5 in x 7.284 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 7.284 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 7.284 * [taylor]: Taking taylor expansion of 0.5 in y 7.284 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 7.285 * [taylor]: Taking taylor expansion of 0 in y 7.292 * [taylor]: Taking taylor expansion of (- +nan.0) in y 7.292 * [taylor]: Taking taylor expansion of +nan.0 in y 7.301 * [taylor]: Taking taylor expansion of (- +nan.0) in y 7.302 * [taylor]: Taking taylor expansion of +nan.0 in y 7.303 * [approximate]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in (x y) around 0 7.303 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in y 7.303 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 7.303 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in y 7.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 7.303 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.303 * [taylor]: Taking taylor expansion of x in y 7.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 7.304 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.304 * [taylor]: Taking taylor expansion of x in y 7.304 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 7.304 * [taylor]: Taking taylor expansion of 0.5 in y 7.304 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 7.304 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 7.304 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 7.304 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 7.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.304 * [taylor]: Taking taylor expansion of x in x 7.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.306 * [taylor]: Taking taylor expansion of x in x 7.307 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 7.307 * [taylor]: Taking taylor expansion of 0.5 in x 7.307 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 7.307 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 7.307 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 7.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 7.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.308 * [taylor]: Taking taylor expansion of x in x 7.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.309 * [taylor]: Taking taylor expansion of x in x 7.310 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 7.310 * [taylor]: Taking taylor expansion of 0.5 in x 7.310 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 7.311 * [taylor]: Taking taylor expansion of 0 in y 7.311 * [taylor]: Taking taylor expansion of 0 in y 7.318 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 7.318 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 7.318 * [taylor]: Taking taylor expansion of 0.5 in y 7.318 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 7.318 * [taylor]: Taking taylor expansion of +nan.0 in y 7.328 * [taylor]: Taking taylor expansion of (- +nan.0) in y 7.328 * [taylor]: Taking taylor expansion of +nan.0 in y 7.345 * [taylor]: Taking taylor expansion of (- +nan.0) in y 7.345 * [taylor]: Taking taylor expansion of +nan.0 in y 7.346 * [approximate]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in (x y) around 0 7.346 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in y 7.347 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 7.347 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in y 7.347 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 7.347 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.347 * [taylor]: Taking taylor expansion of -1 in y 7.347 * [taylor]: Taking taylor expansion of x in y 7.347 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 7.347 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.347 * [taylor]: Taking taylor expansion of -1 in y 7.347 * [taylor]: Taking taylor expansion of x in y 7.347 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 7.347 * [taylor]: Taking taylor expansion of 0.5 in y 7.347 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 7.347 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 7.347 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 7.347 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 7.347 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.347 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.347 * [taylor]: Taking taylor expansion of -1 in x 7.347 * [taylor]: Taking taylor expansion of x in x 7.349 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.349 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.349 * [taylor]: Taking taylor expansion of -1 in x 7.349 * [taylor]: Taking taylor expansion of x in x 7.350 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 7.350 * [taylor]: Taking taylor expansion of 0.5 in x 7.350 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 7.350 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 7.350 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 7.351 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 7.351 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.351 * [taylor]: Taking taylor expansion of -1 in x 7.351 * [taylor]: Taking taylor expansion of x in x 7.352 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.352 * [taylor]: Taking taylor expansion of -1 in x 7.352 * [taylor]: Taking taylor expansion of x in x 7.353 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 7.353 * [taylor]: Taking taylor expansion of 0.5 in x 7.353 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 7.354 * [taylor]: Taking taylor expansion of 0 in y 7.355 * [taylor]: Taking taylor expansion of 0 in y 7.362 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 7.362 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 7.362 * [taylor]: Taking taylor expansion of 0.5 in y 7.362 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 7.362 * [taylor]: Taking taylor expansion of +nan.0 in y 7.372 * [taylor]: Taking taylor expansion of (- +nan.0) in y 7.372 * [taylor]: Taking taylor expansion of +nan.0 in y 7.384 * [taylor]: Taking taylor expansion of (- +nan.0) in y 7.384 * [taylor]: Taking taylor expansion of +nan.0 in y 7.385 * * * [progress]: simplifying candidates 7.386 * [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))))) 7.387 * * [simplify]: iteration 0 : 40 enodes (cost 216 ) 7.394 * * [simplify]: iteration 1 : 89 enodes (cost 171 ) 7.416 * * [simplify]: iteration 2 : 225 enodes (cost 145 ) 7.484 * * [simplify]: iteration 3 : 599 enodes (cost 143 ) 7.711 * * [simplify]: iteration 4 : 1650 enodes (cost 142 ) 8.352 * * [simplify]: iteration done : 5000 enodes (cost 142 ) 8.352 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) x (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))) (fma 0.5 (fabs (- y x)) (* +nan.0 (- (pow x 3) (* x x)))) (fma 0.5 (fabs (- y x)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2)))) (fma 0.5 (fabs (- y x)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2)))) 8.352 * * * [progress]: adding candidates to table 8.383 * [progress]: [Phase 3 of 3] Extracting. 8.383 * * [regime]: Finding splitpoints for: (# # #) 8.384 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (fabs (- y x)) 2.0)) y x) 8.384 * * * * [regimes]: Trying to branch on (+ x (/ (fabs (- y x)) 2.0)) from (# # #) 8.403 * * * * [regimes]: Trying to branch on y from (# # #) 8.418 * * * * [regimes]: Trying to branch on x from (# # #) 8.436 * * * [regime]: Found split indices: #