4.104 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.204 * * * [progress]: [2/2] Setting up program. 0.209 * [progress]: [Phase 2 of 3] Improving. 0.210 * [simplify]: Simplifying using # : (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) 0.210 * [simplify]: Sending expressions to egg_math: (/ (+ h0 (* (* (* (sqrt h0) (- (sin h1) (/ (sin h2) h3))) (- (sin h2) (/ (sin h1) h3))) (- (cos h1) (cos h2)))) (* h4 (+ (+ h5 (* (/ (- (sqrt h6) h5) h0) (cos h1))) (* (/ (- h4 (sqrt h6)) h0) (cos h2))))) 0.213 * * [simplify]: iteration 0 : 74 enodes (cost 30 ) 0.215 * * [simplify]: iteration 1 : 193 enodes (cost 27 ) 0.220 * * [simplify]: iteration 2 : 704 enodes (cost 27 ) 0.234 * * [simplify]: iteration 3 : 2994 enodes (cost 27 ) 0.272 * * [simplify]: iteration 4 : 5001 enodes (cost 27 ) 0.273 * [simplify]: Simplified to: (/ (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0) 0.280 * * [progress]: iteration 1 / 4 0.280 * * * [progress]: picking best candidate 0.290 * * * * [pick]: Picked # 0.291 * * * [progress]: localizing error 0.332 * * * [progress]: generating rewritten candidates 0.332 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 0.340 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 0.349 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 0.414 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.545 * * * [progress]: generating series expansions 0.545 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 0.545 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 0.545 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 0.545 * [taylor]: Taking taylor expansion of (cos x) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (cos y) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 0.545 * [taylor]: Taking taylor expansion of (cos x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (cos y) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 0.546 * [taylor]: Taking taylor expansion of (cos x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (cos y) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 0.547 * [taylor]: Taking taylor expansion of 1 in y 0.547 * [taylor]: Taking taylor expansion of (cos y) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [taylor]: Taking taylor expansion of -1/2 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of 1/24 in y 0.566 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.566 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 0.567 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 0.567 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.568 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 0.589 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.589 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 0.589 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.589 * [taylor]: Taking taylor expansion of -1 in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.590 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.590 * [taylor]: Taking taylor expansion of -1 in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 0.590 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.590 * [taylor]: Taking taylor expansion of -1 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 0.591 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.592 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 0.592 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.592 * [taylor]: Taking taylor expansion of -1 in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.592 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.592 * [taylor]: Taking taylor expansion of -1 in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.608 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 0.608 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 0.609 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 0.609 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 0.609 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.609 * [taylor]: Taking taylor expansion of 2.0 in y 0.610 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in y 0.610 * [taylor]: Taking taylor expansion of (sin x) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in y 0.610 * [taylor]: Taking taylor expansion of 0.0625 in y 0.610 * [taylor]: Taking taylor expansion of (sin y) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.610 * [taylor]: Taking taylor expansion of 2.0 in x 0.611 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.611 * [taylor]: Taking taylor expansion of (sin x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.611 * [taylor]: Taking taylor expansion of 0.0625 in x 0.611 * [taylor]: Taking taylor expansion of (sin y) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.611 * [taylor]: Taking taylor expansion of 2.0 in x 0.612 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.612 * [taylor]: Taking taylor expansion of (sin x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.612 * [taylor]: Taking taylor expansion of 0.0625 in x 0.612 * [taylor]: Taking taylor expansion of (sin y) in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (* -0.0625 (* (sqrt 2.0) (sin y))) in y 0.613 * [taylor]: Taking taylor expansion of -0.0625 in y 0.613 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sin y)) in y 0.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.613 * [taylor]: Taking taylor expansion of 2.0 in y 0.613 * [taylor]: Taking taylor expansion of (sin y) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.617 * [taylor]: Taking taylor expansion of 2.0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.638 * [taylor]: Taking taylor expansion of (- (* 1/6 (sqrt 2.0))) in y 0.638 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt 2.0)) in y 0.638 * [taylor]: Taking taylor expansion of 1/6 in y 0.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.638 * [taylor]: Taking taylor expansion of 2.0 in y 0.645 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 0.645 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.645 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.645 * [taylor]: Taking taylor expansion of 2.0 in y 0.646 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.646 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.646 * [taylor]: Taking taylor expansion of x in y 0.646 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.646 * [taylor]: Taking taylor expansion of 0.0625 in y 0.646 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.646 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.647 * [taylor]: Taking taylor expansion of 2.0 in x 0.647 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.647 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.648 * [taylor]: Taking taylor expansion of 0.0625 in x 0.648 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.648 * [taylor]: Taking taylor expansion of 2.0 in x 0.649 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.649 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.649 * [taylor]: Taking taylor expansion of 0.0625 in x 0.649 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.650 * [taylor]: Taking taylor expansion of 2.0 in y 0.651 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.651 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.651 * [taylor]: Taking taylor expansion of x in y 0.651 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.651 * [taylor]: Taking taylor expansion of 0.0625 in y 0.651 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.675 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 0.675 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.675 * [taylor]: Taking taylor expansion of 2.0 in y 0.676 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.676 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.676 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.676 * [taylor]: Taking taylor expansion of -1 in y 0.676 * [taylor]: Taking taylor expansion of x in y 0.676 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.676 * [taylor]: Taking taylor expansion of 0.0625 in y 0.676 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.676 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.676 * [taylor]: Taking taylor expansion of -1 in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 0.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.677 * [taylor]: Taking taylor expansion of 2.0 in x 0.678 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.678 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.678 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.678 * [taylor]: Taking taylor expansion of -1 in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.678 * [taylor]: Taking taylor expansion of 0.0625 in x 0.678 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.678 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.678 * [taylor]: Taking taylor expansion of -1 in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 0.678 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.678 * [taylor]: Taking taylor expansion of 2.0 in x 0.679 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.679 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.679 * [taylor]: Taking taylor expansion of -1 in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.680 * [taylor]: Taking taylor expansion of 0.0625 in x 0.680 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.680 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.680 * [taylor]: Taking taylor expansion of -1 in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.681 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.681 * [taylor]: Taking taylor expansion of 2.0 in y 0.682 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.682 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.682 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.682 * [taylor]: Taking taylor expansion of -1 in y 0.682 * [taylor]: Taking taylor expansion of x in y 0.682 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.682 * [taylor]: Taking taylor expansion of 0.0625 in y 0.682 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.682 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.682 * [taylor]: Taking taylor expansion of -1 in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.708 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.709 * [approximate]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in (x y) around 0 0.709 * [taylor]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in y 0.709 * [taylor]: Taking taylor expansion of (- (sin y) (* 0.0625 (sin x))) in y 0.709 * [taylor]: Taking taylor expansion of (sin y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of (* 0.0625 (sin x)) in y 0.709 * [taylor]: Taking taylor expansion of 0.0625 in y 0.709 * [taylor]: Taking taylor expansion of (sin x) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 0.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.709 * [taylor]: Taking taylor expansion of 2.0 in y 0.710 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in y 0.710 * [taylor]: Taking taylor expansion of (sin x) in y 0.710 * [taylor]: Taking taylor expansion of x in y 0.710 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in y 0.710 * [taylor]: Taking taylor expansion of 0.0625 in y 0.710 * [taylor]: Taking taylor expansion of (sin y) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in x 0.710 * [taylor]: Taking taylor expansion of (- (sin y) (* 0.0625 (sin x))) in x 0.710 * [taylor]: Taking taylor expansion of (sin y) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of (* 0.0625 (sin x)) in x 0.710 * [taylor]: Taking taylor expansion of 0.0625 in x 0.710 * [taylor]: Taking taylor expansion of (sin x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.710 * [taylor]: Taking taylor expansion of 2.0 in x 0.711 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.711 * [taylor]: Taking taylor expansion of (sin x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.711 * [taylor]: Taking taylor expansion of 0.0625 in x 0.711 * [taylor]: Taking taylor expansion of (sin y) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in x 0.711 * [taylor]: Taking taylor expansion of (- (sin y) (* 0.0625 (sin x))) in x 0.711 * [taylor]: Taking taylor expansion of (sin y) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (* 0.0625 (sin x)) in x 0.711 * [taylor]: Taking taylor expansion of 0.0625 in x 0.711 * [taylor]: Taking taylor expansion of (sin x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.711 * [taylor]: Taking taylor expansion of 2.0 in x 0.712 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.712 * [taylor]: Taking taylor expansion of (sin x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.712 * [taylor]: Taking taylor expansion of 0.0625 in x 0.712 * [taylor]: Taking taylor expansion of (sin y) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.713 * [taylor]: Taking taylor expansion of (* -0.0625 (* (sqrt 2.0) (pow (sin y) 2))) in y 0.714 * [taylor]: Taking taylor expansion of -0.0625 in y 0.714 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (sin y) 2)) in y 0.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.714 * [taylor]: Taking taylor expansion of 2.0 in y 0.714 * [taylor]: Taking taylor expansion of (pow (sin y) 2) in y 0.714 * [taylor]: Taking taylor expansion of (sin y) in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of (* 1.00390625 (* (sqrt 2.0) (sin y))) in y 0.722 * [taylor]: Taking taylor expansion of 1.00390625 in y 0.722 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sin y)) in y 0.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.722 * [taylor]: Taking taylor expansion of 2.0 in y 0.722 * [taylor]: Taking taylor expansion of (sin y) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (- (* 0.0625 (sqrt 2.0))) in y 0.732 * [taylor]: Taking taylor expansion of (* 0.0625 (sqrt 2.0)) in y 0.732 * [taylor]: Taking taylor expansion of 0.0625 in y 0.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.732 * [taylor]: Taking taylor expansion of 2.0 in y 0.743 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))))) in (x y) around 0 0.743 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))))) in y 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.743 * [taylor]: Taking taylor expansion of 2.0 in y 0.743 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.743 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in y 0.743 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in y 0.744 * [taylor]: Taking taylor expansion of 0.0625 in y 0.744 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.744 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.744 * [taylor]: Taking taylor expansion of 0.0625 in y 0.744 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))))) in x 0.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.745 * [taylor]: Taking taylor expansion of 2.0 in x 0.745 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.745 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in x 0.745 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in x 0.745 * [taylor]: Taking taylor expansion of 0.0625 in x 0.745 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.746 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.746 * [taylor]: Taking taylor expansion of 0.0625 in x 0.746 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))))) in x 0.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.746 * [taylor]: Taking taylor expansion of 2.0 in x 0.747 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.747 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in x 0.747 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.747 * [taylor]: Taking taylor expansion of y in x 0.747 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of 0.0625 in x 0.747 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.747 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.748 * [taylor]: Taking taylor expansion of 0.0625 in x 0.748 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))))) in y 0.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.749 * [taylor]: Taking taylor expansion of 2.0 in y 0.750 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x))))) in y 0.750 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.750 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.750 * [taylor]: Taking taylor expansion of 0.0625 in y 0.750 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in y 0.750 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in y 0.751 * [taylor]: Taking taylor expansion of 0.0625 in y 0.751 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in (x y) around 0 0.792 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in y 0.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.792 * [taylor]: Taking taylor expansion of 2.0 in y 0.793 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in y 0.793 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.793 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.793 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.793 * [taylor]: Taking taylor expansion of -1 in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.793 * [taylor]: Taking taylor expansion of 0.0625 in y 0.793 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.793 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.793 * [taylor]: Taking taylor expansion of -1 in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in y 0.794 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.794 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.794 * [taylor]: Taking taylor expansion of -1 in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in y 0.794 * [taylor]: Taking taylor expansion of 0.0625 in y 0.794 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.794 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.794 * [taylor]: Taking taylor expansion of -1 in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.794 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in x 0.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.794 * [taylor]: Taking taylor expansion of 2.0 in x 0.795 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in x 0.795 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.795 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.795 * [taylor]: Taking taylor expansion of -1 in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.795 * [taylor]: Taking taylor expansion of 0.0625 in x 0.795 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.795 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.795 * [taylor]: Taking taylor expansion of -1 in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in x 0.796 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.796 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.796 * [taylor]: Taking taylor expansion of -1 in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in x 0.796 * [taylor]: Taking taylor expansion of 0.0625 in x 0.796 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.796 * [taylor]: Taking taylor expansion of -1 in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in x 0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.796 * [taylor]: Taking taylor expansion of 2.0 in x 0.797 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in x 0.797 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.797 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.797 * [taylor]: Taking taylor expansion of 0.0625 in x 0.797 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.797 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.798 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in x 0.798 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.798 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in x 0.798 * [taylor]: Taking taylor expansion of 0.0625 in x 0.798 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in y 0.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.799 * [taylor]: Taking taylor expansion of 2.0 in y 0.800 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in y 0.800 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.800 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.800 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.800 * [taylor]: Taking taylor expansion of -1 in y 0.800 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.800 * [taylor]: Taking taylor expansion of 0.0625 in y 0.800 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.800 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.800 * [taylor]: Taking taylor expansion of -1 in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in y 0.801 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.801 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.801 * [taylor]: Taking taylor expansion of -1 in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in y 0.801 * [taylor]: Taking taylor expansion of 0.0625 in y 0.801 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.801 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.801 * [taylor]: Taking taylor expansion of -1 in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.839 * * * [progress]: simplifying candidates 0.846 * [simplify]: Simplifying using # : (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma 1 (cos x) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma 1 (cos x) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma 1 (cos x) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)))))) (fma (- (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0)))))) (fma (- (sqrt (cbrt 5.0))) (sqrt (* (cbrt 5.0) (cbrt 5.0))) (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0))))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0))))) (fma (- (sqrt (sqrt 5.0))) (sqrt (sqrt 5.0)) (* (sqrt (sqrt 5.0)) (sqrt 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h5)))) (* (sin h1) (* (sqrt h4) (- (sin h0) (/ (sin h1) h5)))) (* (- (/ (sin h0) h5)) (* (sqrt h4) (- (sin h0) (/ (sin h1) h5)))) (* (* (sqrt h4) (- (sin h0) (/ (sin h1) h5))) (* (cbrt (- (sin h1) (/ (sin h0) h5))) (cbrt (- (sin h1) (/ (sin h0) h5))))) (* (* (sqrt h4) (- (sin h0) (/ (sin h1) h5))) (sqrt (- (sin h1) (/ (sin h0) h5)))) (* (* (sqrt h4) (- (sin h0) (/ (sin h1) h5))) 1) (* (* (sqrt h4) (- (sin h0) (/ (sin h1) h5))) (+ (sqrt (sin h1)) (sqrt (/ (sin h0) h5)))) (* (* (sqrt h4) (- (sin h0) (/ (sin h1) h5))) (+ (sqrt (sin h1)) (/ (sqrt (sin h0)) (sqrt h5)))) (* (* (sqrt h4) (- (sin h0) (/ (sin h1) h5))) 1) (* (- (sin h0) (/ (sin h1) h5)) (- (sin h1) (/ (sin h0) h5))) (* (* (sqrt h4) (- (sin h0) (/ (sin h1) h5))) (- (pow (sin h1) 3) (pow (/ (sin h0) h5) 3))) (* (* (sqrt h4) (- (sin h0) (/ (sin h1) h5))) (- (* (sin h1) (sin h1)) (* (/ (sin h0) h5) (/ (sin h0) h5)))) (* (* (sqrt h4) (- (pow (sin h0) 3) (pow (/ (sin h1) h5) 3))) (- (sin h1) (/ (sin h0) h5))) (* (* (sqrt h4) (- (* (sin h0) (sin h0)) (* (/ (sin h1) h5) (/ (sin h1) h5)))) (- (sin h1) (/ (sin h0) h5))) (- (+ (* 1/2 (pow h1 2)) (* 1/24 (pow h0 4))) (* 1/2 (pow h0 2))) (- (cos h0) (cos h1)) (- (cos h0) (cos h1)) (/ (+ h4 (* (* (* (sqrt h4) (- (sin h0) (/ (sin h1) h5))) (- (sin h1) (/ (sin h0) h5))) (- (cos h0) (cos h1)))) (* h2 (+ (+ h6 (* (/ (- (sqrt h3) h6) h4) (cos h0))) (* (/ (- h2 (sqrt h3)) h4) (cos h1))))) (- (* (sqrt h4) h0) (+ (* 1/6 (* (sqrt h4) (pow h0 3))) (* h7 (* (sqrt h4) h1)))) (* (sqrt h4) (- (sin h0) (* h7 (sin h1)))) (* (sqrt h4) (- (sin h0) (* h7 (sin h1)))) (- (* h8 (* (sqrt h4) (* h1 h0))) (+ (* h7 (* (sqrt h4) (pow h1 2))) (* h7 (* (sqrt h4) (pow h0 2))))) (* (- (sin h1) (* h7 (sin h0))) (* (sqrt h4) (- (sin h0) (* h7 (sin h1))))) (* (- (sin h1) (* h7 (sin h0))) (* (sqrt h4) (- (sin h0) (* h7 (sin h1))))) 0.877 * * [simplify]: iteration 0 : 1730 enodes (cost 7731 ) 0.908 * * [simplify]: iteration 1 : 5001 enodes (cost 6094 ) 0.930 * [simplify]: Simplified to: (fma (* (cbrt (cos 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(sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (cbrt (sin x)) 16.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1))))) (* (* (* (* (cbrt (sin x)) (cbrt (sin x))) (+ (- (/ (cbrt (sin x)) 16.0)) (/ (cbrt (sin x)) 16.0))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sqrt (sin x)) (cbrt 16.0)) (/ (sqrt (sin x)) (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (* (/ (sqrt (sin x)) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (sqrt (sin x)) (cbrt 16.0))) (/ (sqrt (sin x)) (cbrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sqrt (sin x)) (sqrt 16.0)) (/ (sqrt (sin x)) (sqrt 16.0)))))) (* (* (* (/ (sqrt (sin x)) (sqrt 16.0)) (+ (- (/ (sqrt (sin x)) (sqrt 16.0))) (/ (sqrt (sin x)) (sqrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sin x) (cbrt 16.0)) (/ 1 (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (* (/ 1 (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (sin x) (cbrt 16.0))) (/ (sin x) (cbrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sin x) (sqrt 16.0)) (/ 1 (sqrt 16.0)))))) (* (* (* (/ (sin x) (sqrt 16.0)) (+ (- (/ 1 (sqrt 16.0))) (/ 1 (sqrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (cbrt (sin x)) (cbrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (cbrt (sin x)) (sqrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 16.0)))))) (* (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 16.0)) (+ (- (/ (cbrt (sin x)) (sqrt 16.0))) (/ (cbrt (sin x)) (sqrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (cbrt (sin x)) 16.0) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1))))) (* (* (* (* (cbrt (sin x)) (cbrt (sin x))) (+ (- (/ (cbrt (sin x)) 16.0)) (/ (cbrt (sin x)) 16.0))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sqrt (sin x)) (cbrt 16.0)) (/ (sqrt (sin x)) (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (* (/ (sqrt (sin x)) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (sqrt (sin x)) (cbrt 16.0))) (/ (sqrt (sin x)) (cbrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sqrt (sin x)) (sqrt 16.0)) (/ (sqrt (sin x)) (sqrt 16.0)))))) (* (* (* (/ (sqrt (sin x)) (sqrt 16.0)) (+ (- (/ (sqrt (sin x)) (sqrt 16.0))) (/ (sqrt (sin x)) (sqrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sin x) (cbrt 16.0)) (/ 1 (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (* (/ 1 (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (sin x) (cbrt 16.0))) (/ (sin x) (cbrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sin x) (sqrt 16.0)) (/ 1 (sqrt 16.0)))))) (* (* (* (/ (sin x) (sqrt 16.0)) (+ (- (/ 1 (sqrt 16.0))) (/ 1 (sqrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (* (* (* (/ (sin x) 16.0) (+ (- 1) 1)) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (sin y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (/ (sin x) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (sin y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (/ (sin x) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (cbrt (- (sin y) (/ (sin x) 16.0))) (cbrt (- (sin y) (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (sqrt (- (sin y) (/ (sin x) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (sqrt (sin y)) (sqrt (/ (sin x) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (sqrt (sin y)) (/ (sqrt (sin x)) (sqrt 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (pow (sin y) 3) (pow (/ (sin x) 16.0) 3))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0)))) (* (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (- (sin y) (/ (sin x) 16.0))) (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (fma (pow y 2) 1/2 (- (* 1/24 (pow x 4)) (* 1/2 (pow x 2)))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (fma (sqrt 2.0) x (- (fma 1/6 (* (sqrt 2.0) (pow x 3)) (* 0.0625 (* (sqrt 2.0) y))))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (fma 1.00390625 (* (sqrt 2.0) (* y x)) (- (fma 0.0625 (* (sqrt 2.0) (pow y 2)) (* 0.0625 (* (sqrt 2.0) (pow x 2)))))) (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) 0.934 * * * [progress]: adding candidates to table 1.969 * * [progress]: iteration 2 / 4 1.969 * * * [progress]: picking best candidate 2.043 * * * * [pick]: Picked # 2.043 * * * [progress]: localizing error 2.084 * * * [progress]: generating rewritten candidates 2.084 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 2.096 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1 1) 2.145 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2) 2.152 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1 2) 2.162 * * * [progress]: generating series expansions 2.162 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 2.162 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 2.162 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 2.162 * [taylor]: Taking taylor expansion of (cos x) in y 2.162 * [taylor]: Taking taylor expansion of x in y 2.162 * [taylor]: Taking taylor expansion of (cos y) in y 2.162 * [taylor]: Taking taylor expansion of y in y 2.162 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 2.162 * [taylor]: Taking taylor expansion of (cos x) in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [taylor]: Taking taylor expansion of (cos y) in x 2.163 * [taylor]: Taking taylor expansion of y in x 2.163 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 2.163 * [taylor]: Taking taylor expansion of (cos x) in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [taylor]: Taking taylor expansion of (cos y) in x 2.163 * [taylor]: Taking taylor expansion of y in x 2.164 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 2.164 * [taylor]: Taking taylor expansion of 1 in y 2.164 * [taylor]: Taking taylor expansion of (cos y) in y 2.164 * [taylor]: Taking taylor expansion of y in y 2.167 * [taylor]: Taking taylor expansion of 0 in y 2.171 * [taylor]: Taking taylor expansion of -1/2 in y 2.176 * [taylor]: Taking taylor expansion of 0 in y 2.183 * [taylor]: Taking taylor expansion of 1/24 in y 2.183 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 2.183 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 2.184 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 2.184 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.184 * [taylor]: Taking taylor expansion of x in y 2.184 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.184 * [taylor]: Taking taylor expansion of y in y 2.184 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 2.184 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.184 * [taylor]: Taking taylor expansion of x in x 2.184 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 2.184 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.184 * [taylor]: Taking taylor expansion of y in x 2.185 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 2.185 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.185 * [taylor]: Taking taylor expansion of x in x 2.185 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 2.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.185 * [taylor]: Taking taylor expansion of y in x 2.186 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 2.186 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 2.186 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.186 * [taylor]: Taking taylor expansion of x in y 2.186 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.186 * [taylor]: Taking taylor expansion of y in y 2.189 * [taylor]: Taking taylor expansion of 0 in y 2.194 * [taylor]: Taking taylor expansion of 0 in y 2.200 * [taylor]: Taking taylor expansion of 0 in y 2.200 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 2.201 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 2.201 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 2.201 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.201 * [taylor]: Taking taylor expansion of -1 in y 2.201 * [taylor]: Taking taylor expansion of x in y 2.201 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.201 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.201 * [taylor]: Taking taylor expansion of -1 in y 2.201 * [taylor]: Taking taylor expansion of y in y 2.201 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 2.201 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.201 * [taylor]: Taking taylor expansion of -1 in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.201 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 2.202 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.202 * [taylor]: Taking taylor expansion of -1 in x 2.202 * [taylor]: Taking taylor expansion of y in x 2.202 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 2.202 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.202 * [taylor]: Taking taylor expansion of -1 in x 2.202 * [taylor]: Taking taylor expansion of x in x 2.202 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 2.202 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.202 * [taylor]: Taking taylor expansion of -1 in x 2.202 * [taylor]: Taking taylor expansion of y in x 2.203 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 2.203 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 2.203 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.203 * [taylor]: Taking taylor expansion of -1 in y 2.203 * [taylor]: Taking taylor expansion of x in y 2.203 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.203 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.203 * [taylor]: Taking taylor expansion of -1 in y 2.203 * [taylor]: Taking taylor expansion of y in y 2.206 * [taylor]: Taking taylor expansion of 0 in y 2.211 * [taylor]: Taking taylor expansion of 0 in y 2.217 * [taylor]: Taking taylor expansion of 0 in y 2.217 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1 1) 2.217 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2) 2.217 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1 2) 2.217 * * * [progress]: simplifying candidates 2.219 * [simplify]: Simplifying using # : (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma 1 (cos x) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma 1 (cos x) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma 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3.0 (sqrt 5.0)) (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (+ 1 1) (+ (log (cbrt (- 3.0 (sqrt 5.0)))) (log (cbrt (- 3.0 (sqrt 5.0))))) (log (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (exp (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (* (- 3.0 (sqrt 5.0)) (- 3.0 (sqrt 5.0))) (* (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (* (* (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (sqrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (sqrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (+ 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3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (* (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) 2.220 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt 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(cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* 1 1) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* 2 1/3) (* 2 1) (* (cbrt (- h2 (sqrt h3))) (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))))) (* (cbrt (- h2 (sqrt h3))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (cbrt (- h2 (sqrt h3))) (cbrt 1)) (* (cbrt (- h2 (sqrt h3))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (- h2 (sqrt 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(cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (expm1 (cbrt (- h2 (sqrt h3)))) (log1p (cbrt (- h2 (sqrt h3)))) (log (cbrt (- h2 (sqrt h3)))) (exp (cbrt (- h2 (sqrt h3)))) (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt 1) (cbrt (- h2 (sqrt h3))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt 1) (cbrt (- h2 (sqrt h3))) (cbrt (- (pow h2 3) (pow (sqrt h3) 3))) (cbrt (+ (* h2 h2) (+ (* (sqrt h3) (sqrt h3)) (* h2 (sqrt h3))))) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (+ h2 (sqrt h3))) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (cbrt (- h2 (sqrt h3))))) (cbrt (cbrt (- h2 (sqrt h3)))) (* (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3)))) (expm1 (cbrt (- h2 (sqrt h3)))) (log1p (cbrt (- h2 (sqrt h3)))) (log (cbrt (- h2 (sqrt h3)))) (exp (cbrt (- h2 (sqrt h3)))) (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt 1) (cbrt (- h2 (sqrt h3))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt 1) (cbrt (- h2 (sqrt h3))) (cbrt (- (pow h2 3) (pow (sqrt h3) 3))) (cbrt (+ (* h2 h2) (+ (* (sqrt h3) (sqrt h3)) (* h2 (sqrt h3))))) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (+ h2 (sqrt h3))) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (cbrt (- h2 (sqrt h3))))) (cbrt (cbrt (- h2 (sqrt h3)))) (* (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3)))) (- (+ (* 1/2 (pow h1 2)) (* 1/24 (pow h0 4))) (* 1/2 (pow h0 2))) (- (cos h0) (cos h1)) (- (cos h0) (cos h1)) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3))) 2.226 * * [simplify]: iteration 0 : 298 enodes (cost 1220 ) 2.233 * * [simplify]: iteration 1 : 908 enodes (cost 1080 ) 2.257 * * [simplify]: iteration 2 : 4596 enodes (cost 1002 ) 2.377 * * [simplify]: iteration 3 : 5001 enodes (cost 993 ) 2.382 * [simplify]: Simplified to: (fma (/ (- (cos y)) 2) 2 (pow (cbrt (cos x)) 3)) (- (cos y) (cos y)) (fma (/ (- (cos y)) 2) 2 (pow (cbrt (cos x)) 3)) (- (cos y) (cos y)) (fma (/ (- (cos y)) 2) 2 (pow (cbrt (cos x)) 3)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (fma (cos y) (+ (cos x) (cos y)) (* (cos x) (cos x))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (expm1 (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (log1p (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) 2/3 2 (pow (cbrt (- 3.0 (sqrt 5.0))) 6) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) 2 (* 2 (log (cbrt (- 3.0 (sqrt 5.0))))) (* 2 (log (cbrt (- 3.0 (sqrt 5.0))))) (pow (exp 1) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4)) (pow (cbrt (- 3.0 (sqrt 5.0))) 6) (* (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (pow (cbrt (- 3.0 (sqrt 5.0))) 6) (fabs (cbrt (- 3.0 (sqrt 5.0)))) (fabs (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0)))))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (+ 3.0 (sqrt 5.0)))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (+ 3.0 (sqrt 5.0)))) (* (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (+ 3.0 (sqrt 5.0))) (cbrt (+ 3.0 (sqrt 5.0)))) (* (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (pow (cbrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))) 2/3 2 (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (cbrt (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (cbrt (- 3.0 (sqrt 5.0))) (* (pow (cbrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 3) (cbrt (- 3.0 (sqrt 5.0))) (pow (cbrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (pow (cbrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 3) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (expm1 (cbrt (- 3.0 (sqrt 5.0)))) (log1p (cbrt (- 3.0 (sqrt 5.0)))) (log (cbrt (- 3.0 (sqrt 5.0)))) (exp (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) 1 (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) 1 (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (- 3.0 (sqrt 5.0)) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (expm1 (cbrt (- 3.0 (sqrt 5.0)))) (log1p (cbrt (- 3.0 (sqrt 5.0)))) (log (cbrt (- 3.0 (sqrt 5.0)))) (exp (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) 1 (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) 1 (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (- 3.0 (sqrt 5.0)) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (fma (pow y 2) 1/2 (- (* 1/24 (pow x 4)) (* 1/2 (pow x 2)))) (- (cos x) (cos y)) (- (cos x) (cos y)) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (cbrt (- 3.0 (sqrt 5.0))) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (cbrt (- 3.0 (sqrt 5.0))) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (cbrt (- 3.0 (sqrt 5.0))) 2.383 * * * [progress]: adding candidates to table 3.109 * * [progress]: iteration 3 / 4 3.110 * * * [progress]: picking best candidate 3.197 * * * * [pick]: Picked # 3.197 * * * [progress]: localizing error 3.245 * * * [progress]: generating rewritten candidates 3.245 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 3.257 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1 1) 3.307 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 1 2) 3.313 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1 1) 3.324 * * * [progress]: generating series expansions 3.324 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 3.324 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 3.324 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 3.324 * [taylor]: Taking taylor expansion of (cos x) in y 3.324 * [taylor]: Taking taylor expansion of x in y 3.324 * [taylor]: Taking taylor expansion of (cos y) in y 3.324 * [taylor]: Taking taylor expansion of y in y 3.324 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 3.324 * [taylor]: Taking taylor expansion of (cos x) in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.325 * [taylor]: Taking taylor expansion of (cos y) in x 3.325 * [taylor]: Taking taylor expansion of y in x 3.325 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 3.325 * [taylor]: Taking taylor expansion of (cos x) in x 3.325 * [taylor]: Taking taylor expansion of x in x 3.325 * [taylor]: Taking taylor expansion of (cos y) in x 3.325 * [taylor]: Taking taylor expansion of y in x 3.325 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 3.326 * [taylor]: Taking taylor expansion of 1 in y 3.326 * [taylor]: Taking taylor expansion of (cos y) in y 3.326 * [taylor]: Taking taylor expansion of y in y 3.329 * [taylor]: Taking taylor expansion of 0 in y 3.332 * [taylor]: Taking taylor expansion of -1/2 in y 3.338 * [taylor]: Taking taylor expansion of 0 in y 3.345 * [taylor]: Taking taylor expansion of 1/24 in y 3.346 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 3.346 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 3.346 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 3.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.346 * [taylor]: Taking taylor expansion of x in y 3.346 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 3.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.346 * [taylor]: Taking taylor expansion of y in y 3.347 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 3.347 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.347 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 3.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.347 * [taylor]: Taking taylor expansion of y in x 3.347 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 3.347 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.347 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 3.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.347 * [taylor]: Taking taylor expansion of y in x 3.348 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 3.348 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 3.348 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.348 * [taylor]: Taking taylor expansion of x in y 3.348 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 3.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.348 * [taylor]: Taking taylor expansion of y in y 3.351 * [taylor]: Taking taylor expansion of 0 in y 3.356 * [taylor]: Taking taylor expansion of 0 in y 3.362 * [taylor]: Taking taylor expansion of 0 in y 3.362 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 3.362 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.362 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 3.362 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.362 * [taylor]: Taking taylor expansion of -1 in y 3.362 * [taylor]: Taking taylor expansion of x in y 3.363 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 3.363 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.363 * [taylor]: Taking taylor expansion of -1 in y 3.363 * [taylor]: Taking taylor expansion of y in y 3.363 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 3.363 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.363 * [taylor]: Taking taylor expansion of -1 in x 3.363 * [taylor]: Taking taylor expansion of x in x 3.363 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 3.363 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.363 * [taylor]: Taking taylor expansion of -1 in x 3.363 * [taylor]: Taking taylor expansion of y in x 3.364 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 3.364 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.364 * [taylor]: Taking taylor expansion of -1 in x 3.364 * [taylor]: Taking taylor expansion of x in x 3.364 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 3.364 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.364 * [taylor]: Taking taylor expansion of -1 in x 3.364 * [taylor]: Taking taylor expansion of y in x 3.365 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.365 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 3.365 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.365 * [taylor]: Taking taylor expansion of -1 in y 3.365 * [taylor]: Taking taylor expansion of x in y 3.365 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 3.365 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.365 * [taylor]: Taking taylor expansion of -1 in y 3.365 * [taylor]: Taking taylor expansion of y in y 3.368 * [taylor]: Taking taylor expansion of 0 in y 3.373 * [taylor]: Taking taylor expansion of 0 in y 3.378 * [taylor]: Taking taylor expansion of 0 in y 3.379 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1 1) 3.379 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 1 2) 3.379 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1 1) 3.379 * * * [progress]: simplifying candidates 3.381 * [simplify]: Simplifying using # : (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma 1 (cos x) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma 1 (cos x) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma 1 (cos x) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (expm1 (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (log1p (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (+ 1/3 1/3) (+ 1 1) (* (- 3.0 (sqrt 5.0)) (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (+ 1 1) (+ (log (cbrt (- 3.0 (sqrt 5.0)))) (log (cbrt (- 3.0 (sqrt 5.0))))) (log (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (exp (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (* (- 3.0 (sqrt 5.0)) (- 3.0 (sqrt 5.0))) (* (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (* (* (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (sqrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (sqrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0)))))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (+ 3.0 (sqrt 5.0)))) (* (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (+ 3.0 (sqrt 5.0))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0)))))) (* (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (+ 3.0 (sqrt 5.0))) (cbrt (+ 3.0 (sqrt 5.0)))) (* (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (* (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* 1 1) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* 2 1/3) (* 2 1) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt 1)) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt 1)) (* (cbrt (- 3.0 (sqrt 5.0))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))))) (* (cbrt (- 3.0 (sqrt 5.0))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) 1) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (* (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (expm1 (cbrt (- 3.0 (sqrt 5.0)))) (log1p (cbrt (- 3.0 (sqrt 5.0)))) (log (cbrt (- 3.0 (sqrt 5.0)))) (exp (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt 1) (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt 1) (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (* (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (expm1 (cbrt (- 3.0 (sqrt 5.0)))) (log1p (cbrt (- 3.0 (sqrt 5.0)))) (log (cbrt (- 3.0 (sqrt 5.0)))) (exp (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt 1) (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt 1) (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (* (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) 3.382 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma 1 (cos h0) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma 1 (cos h0) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma 1 (cos h0) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (expm1 (- (cos h0) (cos h1))) (log1p (- (cos h0) (cos h1))) (- (cos h1)) (- (cos h1)) (- (cos h1)) (* (sin (/ (- h0 h1) 2)) (sin (/ (+ h0 h1) 2))) (/ (exp (cos h0)) (exp (cos h1))) (log (- (cos h0) (cos h1))) (exp (- (cos h0) (cos h1))) (* (cbrt (- (cos h0) (cos h1))) (cbrt (- (cos h0) (cos h1)))) (cbrt (- (cos h0) (cos h1))) (* (* (- (cos h0) (cos h1)) (- (cos h0) (cos h1))) (- (cos h0) (cos h1))) (sqrt (- (cos h0) (cos h1))) (sqrt (- (cos h0) (cos h1))) (- (pow (cos h0) 3) (pow (cos h1) 3)) (+ (* (cos h0) (cos h0)) (+ (* (cos h1) (cos h1)) (* (cos h0) (cos h1)))) (- (cos h1)) (- (* (cos h0) (cos h0)) (* (cos h1) (cos h1))) (+ (cos h0) (cos h1)) (+ (sqrt (cos h0)) (sqrt (cos h1))) (- (sqrt (cos h0)) (sqrt (cos h1))) (- (cos h0) (cos h1)) (- (cos h1)) (expm1 (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (log1p (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (+ 1/3 1/3) (+ 1 1) (* (- h2 (sqrt h3)) (- h2 (sqrt h3))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (+ 1 1) (+ (log (cbrt (- h2 (sqrt h3)))) (log (cbrt (- h2 (sqrt h3))))) (log (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (exp (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (* (- h2 (sqrt h3)) (- h2 (sqrt h3))) (* (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))))) (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (* (* (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (sqrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (sqrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (* (cbrt (- (pow h2 3) (pow (sqrt h3) 3))) (cbrt (- (pow h2 3) (pow (sqrt h3) 3)))) (* (cbrt (+ (* h2 h2) (+ (* (sqrt h3) (sqrt h3)) (* h2 (sqrt h3))))) (cbrt (+ (* h2 h2) (+ (* (sqrt h3) (sqrt h3)) (* h2 (sqrt h3)))))) (* (cbrt (- (pow h2 3) (pow (sqrt h3) 3))) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3))))) (* (cbrt (+ (* h2 h2) (+ (* (sqrt h3) (sqrt h3)) (* h2 (sqrt h3))))) (cbrt (+ h2 (sqrt h3)))) (* (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (- (pow h2 3) (pow (sqrt h3) 3)))) (* (cbrt (+ h2 (sqrt h3))) (cbrt (+ (* h2 h2) (+ (* (sqrt h3) (sqrt h3)) (* h2 (sqrt h3)))))) (* (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3))))) (* (cbrt (+ h2 (sqrt h3))) (cbrt (+ h2 (sqrt h3)))) (* (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))))) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (cbrt (- h2 (sqrt h3))))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (cbrt (- h2 (sqrt h3))))) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (cbrt (- h2 (sqrt h3)))))) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (cbrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* 1 1) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3))))) (* 2 1/3) (* 2 1) (* (cbrt (- h2 (sqrt h3))) (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))))) (* (cbrt (- h2 (sqrt h3))) (cbrt (sqrt (- h2 (sqrt h3))))) (* (cbrt (- h2 (sqrt h3))) (cbrt 1)) (* (cbrt (- h2 (sqrt h3))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (- h2 (sqrt h3))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3))))) (* (cbrt (- h2 (sqrt h3))) (cbrt 1)) (* (cbrt (- h2 (sqrt h3))) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (cbrt (- h2 (sqrt h3)))))) (* (cbrt (- h2 (sqrt h3))) (sqrt (cbrt (- h2 (sqrt h3))))) (* (cbrt (- h2 (sqrt h3))) 1) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (* (sqrt (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- (pow h2 3) (pow (sqrt h3) 3)))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3))))) (* (cbrt (- (pow h2 3) (pow (sqrt h3) 3))) (cbrt (- h2 (sqrt h3)))) (* (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (expm1 (cbrt (- h2 (sqrt h3)))) (log1p (cbrt (- h2 (sqrt h3)))) (log (cbrt (- h2 (sqrt h3)))) (exp (cbrt (- h2 (sqrt h3)))) (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt 1) (cbrt (- h2 (sqrt h3))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt 1) (cbrt (- h2 (sqrt h3))) (cbrt (- (pow h2 3) (pow (sqrt h3) 3))) (cbrt (+ (* h2 h2) (+ (* (sqrt h3) (sqrt h3)) (* h2 (sqrt h3))))) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (+ h2 (sqrt h3))) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (cbrt (- h2 (sqrt h3))))) (cbrt (cbrt (- h2 (sqrt h3)))) (* (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3)))) (expm1 (cbrt (- h2 (sqrt h3)))) (log1p (cbrt (- h2 (sqrt h3)))) (log (cbrt (- h2 (sqrt h3)))) (exp (cbrt (- h2 (sqrt h3)))) (cbrt (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3))))) (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt (sqrt (- h2 (sqrt h3)))) (cbrt 1) (cbrt (- h2 (sqrt h3))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt (+ (sqrt h2) (sqrt (sqrt h3)))) (cbrt (- (sqrt h2) (sqrt (sqrt h3)))) (cbrt 1) (cbrt (- h2 (sqrt h3))) (cbrt (- (pow h2 3) (pow (sqrt h3) 3))) (cbrt (+ (* h2 h2) (+ (* (sqrt h3) (sqrt h3)) (* h2 (sqrt h3))))) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (+ h2 (sqrt h3))) (* (cbrt (cbrt (- h2 (sqrt h3)))) (cbrt (cbrt (- h2 (sqrt h3))))) (cbrt (cbrt (- h2 (sqrt h3)))) (* (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3)))) (sqrt (cbrt (- h2 (sqrt h3)))) (- (+ (* 1/2 (pow h1 2)) (* 1/24 (pow h0 4))) (* 1/2 (pow h0 2))) (- (cos h0) (cos h1)) (- (cos h0) (cos h1)) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (+ h2 (sqrt h3))) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (+ h2 (sqrt h3))) (cbrt (- (* h2 h2) (* (sqrt h3) (sqrt h3)))) (cbrt (+ h2 (sqrt h3))) 3.388 * * [simplify]: iteration 0 : 298 enodes (cost 1217 ) 3.395 * * [simplify]: iteration 1 : 908 enodes (cost 1077 ) 3.421 * * [simplify]: iteration 2 : 4596 enodes (cost 1005 ) 3.540 * * [simplify]: iteration 3 : 5001 enodes (cost 996 ) 3.545 * [simplify]: Simplified to: (fma (/ (- (cos y)) 2) 2 (pow (cbrt (cos x)) 3)) (- (cos y) (cos y)) (fma (/ (- (cos y)) 2) 2 (pow (cbrt (cos x)) 3)) (- (cos y) (cos y)) (fma (/ (- (cos y)) 2) 2 (pow (cbrt (cos x)) 3)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (- (cos x) (cos y)) (- (cos y) (cos y)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (fma (cos y) (+ (cos x) (cos y)) (* (cos x) (cos x))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (expm1 (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (log1p (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) 2/3 2 (pow (cbrt (- 3.0 (sqrt 5.0))) 6) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) 2 (* 2 (log (cbrt (- 3.0 (sqrt 5.0))))) (* 2 (log (cbrt (- 3.0 (sqrt 5.0))))) (pow (exp 1) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4)) (pow (cbrt (- 3.0 (sqrt 5.0))) 6) (* (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (pow (cbrt (- 3.0 (sqrt 5.0))) 6) (fabs (cbrt (- 3.0 (sqrt 5.0)))) (fabs (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0)))))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (+ 3.0 (sqrt 5.0)))) (* (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (+ 3.0 (sqrt 5.0)))) (* (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (+ 3.0 (sqrt 5.0))) (cbrt (+ 3.0 (sqrt 5.0)))) (* (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0))))) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (pow (cbrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))) 1 (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (* (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))) 2/3 2 (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (cbrt (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0))))) (cbrt (- 3.0 (sqrt 5.0))) (* (pow (cbrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 3) (cbrt (- 3.0 (sqrt 5.0))) (pow (cbrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (sqrt (- 3.0 (sqrt 5.0))))) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (* (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0)))) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (pow (cbrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 3) (pow (sqrt (cbrt (- 3.0 (sqrt 5.0)))) 4) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3)))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))))) (expm1 (cbrt (- 3.0 (sqrt 5.0)))) (log1p (cbrt (- 3.0 (sqrt 5.0)))) (log (cbrt (- 3.0 (sqrt 5.0)))) (exp (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) 1 (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) 1 (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (- 3.0 (sqrt 5.0)) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (expm1 (cbrt (- 3.0 (sqrt 5.0)))) (log1p (cbrt (- 3.0 (sqrt 5.0)))) (log (cbrt (- 3.0 (sqrt 5.0)))) (exp (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) (cbrt (sqrt (- 3.0 (sqrt 5.0)))) 1 (cbrt (- 3.0 (sqrt 5.0))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (+ (sqrt 3.0) (sqrt (sqrt 5.0)))) (cbrt (- (sqrt 3.0) (sqrt (sqrt 5.0)))) 1 (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- (pow 3.0 3) (pow (sqrt 5.0) 3))) (cbrt (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0))))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (* (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (cbrt (- 3.0 (sqrt 5.0))))) (cbrt (cbrt (- 3.0 (sqrt 5.0)))) (- 3.0 (sqrt 5.0)) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (sqrt (cbrt (- 3.0 (sqrt 5.0)))) (fma (pow y 2) 1/2 (- (* 1/24 (pow x 4)) (* 1/2 (pow x 2)))) (- (cos x) (cos y)) (- (cos x) (cos y)) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) (cbrt (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0)))) (cbrt (+ 3.0 (sqrt 5.0))) 3.546 * * * [progress]: adding candidates to table 4.413 * * [progress]: iteration 4 / 4 4.413 * * * [progress]: picking best candidate 4.510 * * * * [pick]: Picked # 4.511 * * * [progress]: localizing error 4.573 * * * [progress]: generating rewritten candidates 4.573 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 4.583 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 4.592 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2 1 2 2 2) 4.592 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 1 2 1 1 2) 4.596 * * * [progress]: generating series expansions 4.596 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 4.596 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 4.596 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 4.596 * [taylor]: Taking taylor expansion of (cos x) in y 4.596 * [taylor]: Taking taylor expansion of x in y 4.596 * [taylor]: Taking taylor expansion of (cos y) in y 4.596 * [taylor]: Taking taylor expansion of y in y 4.597 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 4.597 * [taylor]: Taking taylor expansion of (cos x) in x 4.597 * [taylor]: Taking taylor expansion of x in x 4.597 * [taylor]: Taking taylor expansion of (cos y) in x 4.597 * [taylor]: Taking taylor expansion of y in x 4.597 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 4.597 * [taylor]: Taking taylor expansion of (cos x) in x 4.597 * [taylor]: Taking taylor expansion of x in x 4.597 * [taylor]: Taking taylor expansion of (cos y) in x 4.597 * [taylor]: Taking taylor expansion of y in x 4.598 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 4.598 * [taylor]: Taking taylor expansion of 1 in y 4.598 * [taylor]: Taking taylor expansion of (cos y) in y 4.598 * [taylor]: Taking taylor expansion of y in y 4.601 * [taylor]: Taking taylor expansion of 0 in y 4.604 * [taylor]: Taking taylor expansion of -1/2 in y 4.609 * [taylor]: Taking taylor expansion of 0 in y 4.622 * [taylor]: Taking taylor expansion of 1/24 in y 4.622 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 4.622 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 4.622 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 4.622 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.622 * [taylor]: Taking taylor expansion of x in y 4.623 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 4.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.623 * [taylor]: Taking taylor expansion of y in y 4.623 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 4.623 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.623 * [taylor]: Taking taylor expansion of x in x 4.623 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 4.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.623 * [taylor]: Taking taylor expansion of y in x 4.623 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 4.624 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.624 * [taylor]: Taking taylor expansion of x in x 4.624 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 4.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.624 * [taylor]: Taking taylor expansion of y in x 4.625 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 4.625 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 4.625 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.625 * [taylor]: Taking taylor expansion of x in y 4.625 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 4.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.625 * [taylor]: Taking taylor expansion of y in y 4.628 * [taylor]: Taking taylor expansion of 0 in y 4.633 * [taylor]: Taking taylor expansion of 0 in y 4.639 * [taylor]: Taking taylor expansion of 0 in y 4.639 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 4.639 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 4.639 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 4.639 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.639 * [taylor]: Taking taylor expansion of -1 in y 4.639 * [taylor]: Taking taylor expansion of x in y 4.640 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 4.640 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.640 * [taylor]: Taking taylor expansion of -1 in y 4.640 * [taylor]: Taking taylor expansion of y in y 4.640 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 4.640 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.640 * [taylor]: Taking taylor expansion of -1 in x 4.640 * [taylor]: Taking taylor expansion of x in x 4.640 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 4.640 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.640 * [taylor]: Taking taylor expansion of -1 in x 4.640 * [taylor]: Taking taylor expansion of y in x 4.641 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 4.641 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.641 * [taylor]: Taking taylor expansion of -1 in x 4.641 * [taylor]: Taking taylor expansion of x in x 4.641 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 4.641 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.641 * [taylor]: Taking taylor expansion of -1 in x 4.641 * [taylor]: Taking taylor expansion of y in x 4.642 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 4.642 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 4.642 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.642 * [taylor]: Taking taylor expansion of -1 in y 4.642 * [taylor]: Taking taylor expansion of x in y 4.642 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 4.642 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.642 * [taylor]: Taking taylor expansion of -1 in y 4.642 * [taylor]: Taking taylor expansion of y in y 4.645 * [taylor]: Taking taylor expansion of 0 in y 4.649 * [taylor]: Taking taylor expansion of 0 in y 4.655 * [taylor]: Taking taylor expansion of 0 in y 4.656 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 4.656 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2 1 2 2 2) 4.656 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2 1 2 1 1 2) 4.656 * * * [progress]: simplifying candidates 4.657 * [simplify]: Simplifying using # : (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma 1 (cos x) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma 1 (cos x) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma 1 (cos x) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)))))) (fma (- (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0)))))) (fma (- (sqrt (cbrt 5.0))) (sqrt (* (cbrt 5.0) (cbrt 5.0))) (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0))))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0))))) (fma (- (sqrt (sqrt 5.0))) (sqrt (sqrt 5.0)) (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0)))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt 5.0) (sqrt 1)))) (fma (- (sqrt 5.0)) (sqrt 1) (* (sqrt 5.0) (sqrt 1))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0))))) (fma (- (sqrt (sqrt 5.0))) (sqrt (sqrt 5.0)) (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0)))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt 5.0) 1))) (fma (- (sqrt 5.0)) 1 (* (sqrt 5.0) 1)) (fma (sqrt 3.0) (sqrt 3.0) (- (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)))))) (fma (- (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))))) (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0)))))) (fma (- (sqrt (cbrt 5.0))) (sqrt (* (cbrt 5.0) (cbrt 5.0))) (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0))))) (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0))))) (fma (- (sqrt (sqrt 5.0))) (sqrt (sqrt 5.0)) (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0)))) (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt 5.0) (sqrt 1)))) (fma (- (sqrt 5.0)) (sqrt 1) (* (sqrt 5.0) (sqrt 1))) (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0))))) (fma (- (sqrt (sqrt 5.0))) (sqrt (sqrt 5.0)) (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0)))) (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt 5.0) 1))) (fma (- (sqrt 5.0)) 1 (* (sqrt 5.0) 1)) (fma 1 3.0 (- (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)))))) (fma (- (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))))) (fma 1 3.0 (- (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0)))))) (fma (- (sqrt (cbrt 5.0))) (sqrt (* (cbrt 5.0) (cbrt 5.0))) (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0))))) (fma 1 3.0 (- (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0))))) (fma (- (sqrt (sqrt 5.0))) (sqrt (sqrt 5.0)) (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0)))) (fma 1 3.0 (- (* (sqrt 5.0) (sqrt 1)))) (fma (- (sqrt 5.0)) (sqrt 1) (* (sqrt 5.0) (sqrt 1))) (fma 1 3.0 (- (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0))))) (fma (- (sqrt (sqrt 5.0))) (sqrt (sqrt 5.0)) (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0)))) (fma 1 3.0 (- (* (sqrt 5.0) 1))) (fma (- (sqrt 5.0)) 1 (* (sqrt 5.0) 1)) (expm1 (- 3.0 (sqrt 5.0))) (log1p (- 3.0 (sqrt 5.0))) (- (sqrt 5.0)) (- (sqrt 5.0)) (- (sqrt 5.0)) (/ (exp 3.0) (exp (sqrt 5.0))) (log (- 3.0 (sqrt 5.0))) (exp (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (* (* (- 3.0 (sqrt 5.0)) (- 3.0 (sqrt 5.0))) (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (- (pow 3.0 3) (pow (sqrt 5.0) 3)) (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0)))) (- (sqrt 5.0)) (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))) (+ 3.0 (sqrt 5.0)) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (- 3.0 (sqrt 5.0)) (- (sqrt 5.0)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) (cbrt 1) (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) (* (* (cbrt 16.0) (cbrt 16.0)) (cbrt 16.0)) (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) (cbrt 1) (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) (* (* (cbrt 16.0) (cbrt 16.0)) (cbrt 16.0)) (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (+ 2.0 (* (* (+ (* (sqrt 2.0) (fma (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x)) (- (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)))) (sqrt 2.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (/ (+ 2.0 (* (* (+ (* (sqrt 2.0) (fma (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x)) (- (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)))) (sqrt 2.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (/ (+ 2.0 (* (* (+ (* (sqrt 2.0) (fma (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x)) (- (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)))) (sqrt 2.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) 4.658 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (fma 1 (cos h0) (- (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1)))))) (fma (- (cbrt (cos h1))) (* (cbrt (cos h1)) (cbrt (cos h1))) (* (cbrt (cos h1)) (* (cbrt (cos h1)) (cbrt (cos h1))))) (fma 1 (cos h0) (- (* (sqrt (cos h1)) (sqrt (cos h1))))) (fma (- (sqrt (cos h1))) (sqrt (cos h1)) (* (sqrt (cos h1)) (sqrt (cos h1)))) (fma 1 (cos h0) (- (* (cos h1) 1))) (fma (- (cos h1)) 1 (* (cos h1) 1)) (expm1 (- (cos h0) (cos h1))) (log1p (- (cos h0) (cos h1))) (- (cos h1)) (- (cos h1)) (- (cos h1)) (* (sin (/ (- h0 h1) 2)) (sin (/ (+ h0 h1) 2))) (/ (exp (cos h0)) (exp (cos h1))) (log (- (cos h0) (cos h1))) (exp (- (cos h0) (cos h1))) (* (cbrt (- (cos h0) (cos h1))) (cbrt (- (cos h0) (cos h1)))) (cbrt (- (cos h0) (cos h1))) (* (* (- (cos h0) (cos h1)) (- (cos h0) (cos h1))) (- (cos h0) (cos h1))) (sqrt (- (cos h0) (cos h1))) (sqrt (- (cos h0) (cos h1))) (- (pow (cos h0) 3) (pow (cos h1) 3)) (+ (* (cos h0) (cos h0)) (+ (* (cos h1) (cos h1)) (* (cos h0) (cos h1)))) (- (cos h1)) (- (* (cos h0) (cos h0)) (* (cos h1) (cos h1))) (+ (cos h0) (cos h1)) (+ (sqrt (cos h0)) (sqrt (cos h1))) (- (sqrt (cos h0)) (sqrt (cos h1))) (- (cos h0) (cos h1)) (- (cos h1)) (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (cbrt (sqrt h3)) (* (cbrt (sqrt h3)) (cbrt (sqrt h3)))))) (fma (- (cbrt (sqrt h3))) (* (cbrt (sqrt h3)) (cbrt (sqrt h3))) (* (cbrt (sqrt h3)) (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (sqrt (cbrt h3)) (sqrt (* (cbrt h3) (cbrt h3)))))) (fma (- (sqrt (cbrt h3))) (sqrt (* (cbrt h3) (cbrt h3))) (* (sqrt (cbrt h3)) (sqrt (* (cbrt h3) (cbrt h3))))) (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (sqrt (sqrt h3)) (sqrt (sqrt h3))))) (fma (- (sqrt (sqrt h3))) (sqrt (sqrt h3)) (* (sqrt (sqrt h3)) (sqrt (sqrt h3)))) (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (sqrt h3) (sqrt 1)))) (fma (- (sqrt h3)) (sqrt 1) 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(sqrt h3))))) (fma (- (sqrt (sqrt h3))) (sqrt (sqrt h3)) (* (sqrt (sqrt h3)) (sqrt (sqrt h3)))) (fma (sqrt h2) (sqrt h2) (- (* (sqrt h3) 1))) (fma (- (sqrt h3)) 1 (* (sqrt h3) 1)) (fma 1 h2 (- (* (cbrt (sqrt h3)) (* (cbrt (sqrt h3)) (cbrt (sqrt h3)))))) (fma (- (cbrt (sqrt h3))) (* (cbrt (sqrt h3)) (cbrt (sqrt h3))) (* (cbrt (sqrt h3)) (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (fma 1 h2 (- (* (sqrt (cbrt h3)) (sqrt (* (cbrt h3) (cbrt h3)))))) (fma (- (sqrt (cbrt h3))) (sqrt (* (cbrt h3) (cbrt h3))) (* (sqrt (cbrt h3)) (sqrt (* (cbrt h3) (cbrt h3))))) (fma 1 h2 (- (* (sqrt (sqrt h3)) (sqrt (sqrt h3))))) (fma (- (sqrt (sqrt h3))) (sqrt (sqrt h3)) (* (sqrt (sqrt h3)) (sqrt (sqrt h3)))) (fma 1 h2 (- (* (sqrt h3) (sqrt 1)))) (fma (- (sqrt h3)) (sqrt 1) (* (sqrt h3) (sqrt 1))) (fma 1 h2 (- (* (sqrt (sqrt h3)) (sqrt (sqrt h3))))) (fma (- (sqrt (sqrt h3))) (sqrt (sqrt h3)) (* (sqrt (sqrt h3)) (sqrt (sqrt h3)))) (fma 1 h2 (- (* (sqrt h3) 1))) (fma (- (sqrt h3)) 1 (* (sqrt h3) 1)) (expm1 (- h2 (sqrt h3))) (log1p (- h2 (sqrt h3))) (- (sqrt h3)) (- (sqrt h3)) (- (sqrt h3)) (/ (exp h2) (exp (sqrt h3))) (log (- h2 (sqrt h3))) (exp (- h2 (sqrt h3))) (* (cbrt (- h2 (sqrt h3))) (cbrt (- h2 (sqrt h3)))) (cbrt (- h2 (sqrt h3))) (* (* (- h2 (sqrt h3)) (- h2 (sqrt h3))) (- h2 (sqrt h3))) (sqrt (- h2 (sqrt h3))) (sqrt (- h2 (sqrt h3))) (- (pow h2 3) (pow (sqrt h3) 3)) (+ (* h2 h2) (+ (* (sqrt h3) (sqrt h3)) (* h2 (sqrt h3)))) (- (sqrt h3)) (- (* h2 h2) (* (sqrt h3) (sqrt h3))) (+ h2 (sqrt h3)) (+ (sqrt h2) (sqrt (sqrt h3))) (- (sqrt h2) (sqrt (sqrt h3))) (+ (sqrt h2) (sqrt (sqrt h3))) (- (sqrt h2) (sqrt (sqrt h3))) (- h2 (sqrt h3)) (- (sqrt h3)) (expm1 (cbrt h4)) (log1p (cbrt h4)) (log (cbrt h4)) (exp (cbrt h4)) (cbrt (* (cbrt h4) (cbrt h4))) (cbrt (cbrt h4)) (cbrt (sqrt h4)) (cbrt (sqrt h4)) (cbrt 1) (cbrt h4) (* (cbrt (cbrt h4)) (cbrt (cbrt h4))) (cbrt (cbrt h4)) (* (* (cbrt h4) (cbrt h4)) (cbrt h4)) (sqrt (cbrt h4)) (sqrt (cbrt h4)) (expm1 (cbrt h4)) (log1p (cbrt h4)) (log (cbrt h4)) (exp (cbrt h4)) (cbrt (* (cbrt h4) (cbrt h4))) (cbrt (cbrt h4)) (cbrt (sqrt h4)) (cbrt (sqrt h4)) (cbrt 1) (cbrt h4) (* (cbrt (cbrt h4)) (cbrt (cbrt h4))) (cbrt (cbrt h4)) (* (* (cbrt h4) (cbrt h4)) (cbrt h4)) (sqrt (cbrt h4)) (sqrt (cbrt h4)) (- (+ (* 1/2 (pow h1 2)) (* 1/24 (pow h0 4))) (* 1/2 (pow h0 2))) (- (cos h0) (cos h1)) (- (cos h0) (cos h1)) (/ (+ h5 (* (* (+ (* (sqrt h5) (fma (* (cbrt (sin h0)) (cbrt (sin h0))) (cbrt (sin h0)) (- (* (/ (cbrt (sin h1)) (cbrt h4)) (/ (* (cbrt (sin h1)) (cbrt (sin h1))) (* (cbrt h4) (cbrt h4))))))) (* (* (/ (* (cbrt (sin h1)) (cbrt (sin h1))) (* (cbrt h4) (cbrt h4))) (+ (- (/ (cbrt (sin h1)) (cbrt h4))) (/ (cbrt (sin h1)) (cbrt h4)))) (sqrt h5))) (- (sin h1) (/ (sin h0) h4))) (- (cos h0) (cos h1)))) (* h2 (+ (+ h6 (* (/ (- (sqrt h3) h6) h5) (cos h0))) (* (/ (- h2 (sqrt h3)) h5) (cos h1))))) (/ (+ h5 (* (* (+ (* (sqrt h5) (fma (* (cbrt (sin h0)) (cbrt (sin h0))) (cbrt (sin h0)) (- (* (/ (cbrt (sin h1)) (cbrt h4)) (/ (* (cbrt (sin h1)) (cbrt (sin h1))) (* (cbrt h4) (cbrt h4))))))) (* (* (/ (* (cbrt (sin h1)) (cbrt (sin h1))) (* (cbrt h4) (cbrt h4))) (+ (- (/ (cbrt (sin h1)) (cbrt h4))) (/ (cbrt (sin h1)) (cbrt h4)))) (sqrt h5))) (- (sin h1) (/ (sin h0) h4))) (- (cos h0) (cos h1)))) (* h2 (+ (+ h6 (* (/ (- (sqrt h3) h6) h5) (cos h0))) (* (/ (- h2 (sqrt h3)) h5) (cos h1))))) (/ (+ h5 (* (* (+ (* (sqrt h5) (fma (* (cbrt (sin h0)) (cbrt (sin h0))) (cbrt (sin h0)) (- (* (/ (cbrt (sin h1)) (cbrt h4)) (/ (* (cbrt (sin h1)) (cbrt (sin h1))) (* (cbrt h4) (cbrt h4))))))) (* (* (/ (* (cbrt (sin h1)) (cbrt (sin h1))) (* (cbrt h4) (cbrt h4))) (+ (- (/ (cbrt (sin h1)) (cbrt h4))) (/ (cbrt (sin h1)) (cbrt h4)))) (sqrt h5))) (- (sin h1) (/ (sin h0) h4))) (- (cos h0) (cos h1)))) (* h2 (+ (+ h6 (* (/ (- (sqrt h3) h6) h5) (cos h0))) (* (/ (- h2 (sqrt h3)) h5) (cos h1))))) 4.665 * * [simplify]: iteration 0 : 414 enodes (cost 968 ) 4.673 * * [simplify]: iteration 1 : 1249 enodes (cost 719 ) 4.704 * * [simplify]: iteration 2 : 5001 enodes (cost 700 ) 4.708 * [simplify]: Simplified to: (- (* (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x))) (cos y)) (fma (- (cos y)) 1 (cos y)) (- (* (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x))) (cos y)) (fma (- (cos y)) 1 (cos y)) (- (* (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x))) (cos y)) (fma (- (cos y)) 1 (cos y)) (- (cos x) (cos y)) (fma (- (cos y)) 1 (cos y)) (- (cos x) (cos y)) (fma (- (cos y)) 1 (cos y)) (- (cos x) (cos y)) (fma (- (cos y)) 1 (cos y)) (- (cos x) (cos y)) (fma (- (cos y)) 1 (cos y)) (- (cos x) (cos y)) (fma (- (cos y)) 1 (cos y)) (- (cos x) (cos y)) (fma (- (cos y)) 1 (cos y)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (fma (cos y) (+ (cos x) (cos y)) (* (cos x) (cos x))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (- (* (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0)) (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- (* (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0)) (* (fabs (cbrt 5.0)) (sqrt (cbrt 5.0)))) (* (sqrt (cbrt 5.0)) (+ (- (fabs (cbrt 5.0))) (fabs (cbrt 5.0)))) (- (* (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0)) (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- (* (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0)) (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- (* (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0)) (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- (* (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0)) (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (* (fabs (cbrt 5.0)) (sqrt (cbrt 5.0)))) (* (sqrt (cbrt 5.0)) (+ (- (fabs (cbrt 5.0))) (fabs (cbrt 5.0)))) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (* (fabs (cbrt 5.0)) (sqrt (cbrt 5.0)))) (* (sqrt (cbrt 5.0)) (+ (- (fabs (cbrt 5.0))) (fabs (cbrt 5.0)))) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (- 3.0 (sqrt 5.0)) (fma (- (sqrt 5.0)) 1 (sqrt 5.0)) (expm1 (- 3.0 (sqrt 5.0))) (log1p (- 3.0 (sqrt 5.0))) (- (sqrt 5.0)) (- (sqrt 5.0)) (- (sqrt 5.0)) (exp (- 3.0 (sqrt 5.0))) (log (- 3.0 (sqrt 5.0))) (exp (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (pow (- 3.0 (sqrt 5.0)) 3) (sqrt (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (- (pow 3.0 3) (pow (sqrt 5.0) 3)) (fma 3.0 3.0 (fma (sqrt 5.0) 3.0 5.0)) (- (sqrt 5.0)) (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))) (+ 3.0 (sqrt 5.0)) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (- 3.0 (sqrt 5.0)) (- (sqrt 5.0)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) 1 (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) 16.0 (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) 1 (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) 16.0 (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (fma (pow y 2) 1/2 (- (* 1/24 (pow x 4)) (* 1/2 (pow x 2)))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (/ (fma (fma (sqrt 2.0) (fma (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x)) (- (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0)))))) (* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)))) (sqrt 2.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0) (/ (/ (fma (fma (sqrt 2.0) (fma (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x)) (- (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0)))))) (* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)))) (sqrt 2.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0) (/ (/ (fma (fma (sqrt 2.0) (fma (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (sin x)) (- (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0)))))) (* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)))) (sqrt 2.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0) 4.709 * * * [progress]: adding candidates to table 5.439 * [progress]: [Phase 3 of 3] Extracting. 5.439 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 5.467 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.467 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # #) 5.587 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 5.707 * * * [regime]: Found split indices: #