15.688 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.185 * * * [progress]: [2/2] Setting up program. 0.192 * [progress]: [Phase 2 of 3] Improving. 0.193 * [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))))) 0.194 * * [simplify]: iteration 0 : 74 enodes (cost 30 ) 0.196 * * [simplify]: iteration 1 : 182 enodes (cost 30 ) 0.199 * * [simplify]: iteration 2 : 657 enodes (cost 30 ) 0.210 * * [simplify]: iteration 3 : 2727 enodes (cost 30 ) 0.243 * * [simplify]: iteration 4 : 5001 enodes (cost 30 ) 0.243 * [simplify]: Simplified to: (/ (+ 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))))) 0.243 * * [progress]: iteration 1 / 4 0.243 * * * [progress]: picking best candidate 0.250 * * * * [pick]: Picked # 0.250 * * * [progress]: localizing error 0.288 * * * [progress]: generating rewritten candidates 0.288 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 0.293 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 0.297 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 0.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.315 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 0.316 * [approximate]: Approximating (- (cos x) (cos y)) in (x y) around 0 0.317 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 0.321 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 0.326 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 0.332 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 0.340 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 0.340 * [approximate]: Approximating (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.352 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.359 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.366 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.367 * [approximate]: Approximating (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 0.369 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.373 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.379 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.387 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 0.387 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 0.388 * [approximate]: Approximating (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 0.397 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 0.409 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 0.420 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 0.430 * [approximate]: Approximating (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 0.435 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.441 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.450 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.463 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.464 * [approximate]: Approximating (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 0.468 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.474 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.483 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.495 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.496 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.499 * [approximate]: Approximating (- (+ (* 1.5 (cos y)) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (+ (* 0.5 (cos x)) (* 0.5 (* (sqrt 5.0) (cos y))))) in (x y) around 0 0.515 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos y)) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (+ (* 0.5 (cos x)) (* 0.5 (* (sqrt 5.0) (cos y))))) in y 0.535 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos y)) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (+ (* 0.5 (cos x)) (* 0.5 (* (sqrt 5.0) (cos y))))) in y 0.564 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos y)) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (+ (* 0.5 (cos x)) (* 0.5 (* (sqrt 5.0) (cos y))))) in y 0.594 * [approximate]: Approximating (- (+ (* 1.5 (cos (/ 1 y))) (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) 1.0)) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos (/ 1 y))) (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) 1.0)) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in y 0.625 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos (/ 1 y))) (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) 1.0)) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in y 0.647 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos (/ 1 y))) (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) 1.0)) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in y 0.679 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos (/ 1 y))) (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) 1.0)) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in y 0.683 * [approximate]: Approximating (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 1.5 (cos (/ -1 y))) 1.0)) (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))) (* 0.5 (cos (/ -1 x))))) in (x y) around 0 0.696 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 1.5 (cos (/ -1 y))) 1.0)) (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))) (* 0.5 (cos (/ -1 x))))) in y 0.713 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 1.5 (cos (/ -1 y))) 1.0)) (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))) (* 0.5 (cos (/ -1 x))))) in y 0.739 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 1.5 (cos (/ -1 y))) 1.0)) (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))) (* 0.5 (cos (/ -1 x))))) in y 0.769 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 1.5 (cos (/ -1 y))) 1.0)) (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))) (* 0.5 (cos (/ -1 x))))) in y 0.770 * * * [progress]: simplifying candidates 0.772 * [simplify]: Simplifying using # : (* (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)))) (neg (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)) (neg (cos y)) (/ (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)))) (neg (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)) (neg (sqrt 5.0)) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (log (sqrt 2.0)) (log (- (sin x) (/ (sin y) 16.0)))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (- (sin x) (/ (sin y) 16.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin x) (/ (sin y) 16.0)))) (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sin x) (sqrt 2.0)) (* (neg (/ (sin y) 16.0)) (sqrt 2.0)) (* (sin x) (sqrt 2.0)) (* (neg (/ (sin y) 16.0)) (sqrt 2.0)) (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) 1) (* (sqrt 2.0) (+ (sqrt (sin x)) (sqrt (/ (sin y) 16.0)))) (* (sqrt 2.0) (+ (sqrt (sin x)) (/ (sqrt (sin y)) (sqrt 16.0)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (* (* (exp 1.0) (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (exp (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (* (exp (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (exp (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (log (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (exp (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (* (cbrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (cbrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (cbrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (* (* (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (sqrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (sqrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (+ (* (+ (pow 1.0 3) (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3)) 2.0) (* (+ (* 1.0 1.0) (- (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))) (* (- 3.0 (sqrt 5.0)) (cos y)))) (* (+ (* 1.0 1.0) (- (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))) 2.0) (+ (* (- (* 1.0 1.0) (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) 2.0) (* (- 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (- 3.0 (sqrt 5.0)) (cos y)))) (* (- 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) 2.0) (+ (pow (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) 3) (pow (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) 3)) (+ (* (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (- (* (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (* (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (- (* (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (* (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (- (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (- (+ (* 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) (- (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))))) (- (* (sqrt 2.0) x) (+ (* 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)))) (- (+ (* 0.25 (pow x 2)) (+ (* 0.25 (* (sqrt 5.0) (pow y 2))) 2.0)) (+ (* 0.75 (pow y 2)) (* 0.25 (* (sqrt 5.0) (pow x 2))))) (- (+ (* 1.5 (cos y)) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (+ (* 0.5 (cos x)) (* 0.5 (* (sqrt 5.0) (cos y))))) (- (+ (* 1.5 (cos y)) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (+ (* 0.5 (cos x)) (* 0.5 (* (sqrt 5.0) (cos y))))) 0.778 * * [simplify]: iteration 0 : 590 enodes (cost 866 ) 0.787 * * [simplify]: iteration 1 : 2155 enodes (cost 808 ) 0.821 * * [simplify]: iteration 2 : 5001 enodes (cost 808 ) 0.825 * [simplify]: Simplified to: (* (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)) (+ (* (cos y) (+ (cos y) (cos x))) (* (cos x) (cos x))) (neg (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)) (neg (cos y)) (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)) (+ (+ (* 3.0 3.0) 5.0) (* 3.0 (sqrt 5.0))) (neg (sqrt 5.0)) (+ (* 3.0 3.0) (neg 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)) (neg (sqrt 5.0)) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sqrt (- (sin x) (/ (sin y) 16.0)))) (sqrt 2.0) (* (sqrt 2.0) (+ (sqrt (sin x)) (sqrt (/ (sin y) 16.0)))) (* (sqrt 2.0) (+ (sqrt (sin x)) (/ (sqrt (sin y)) (sqrt 16.0)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (exp (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (exp (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (log (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (exp (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (* (cbrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (cbrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (cbrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (pow (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) 3) (sqrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (sqrt (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (+ (* (+ (pow 1.0 3) (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3)) 2.0) (* (+ (* 1.0 1.0) (- (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))) (* (- 3.0 (sqrt 5.0)) (cos y)))) (* 2.0 (+ (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (- (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 1.0)) (* 1.0 1.0))) (+ (* (- (* 1.0 1.0) (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) 2.0) (* (- 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (- 3.0 (sqrt 5.0)) (cos y)))) (* (- 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) 2.0) (+ (pow (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) 3) (pow (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) 3)) (+ (* (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (- (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))) (* (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))) (- (* (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (* (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (- (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (- (+ (* 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) (- (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))))) (- (* (sqrt 2.0) x) (+ (* 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)))) (- (- (+ (* 0.25 (+ (pow x 2) (* (sqrt 5.0) (pow y 2)))) 2.0) (* 0.25 (* (sqrt 5.0) (pow x 2)))) (* 0.75 (pow y 2))) (+ (* 1.5 (cos y)) (- (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0) (* 0.5 (+ (cos x) (* (sqrt 5.0) (cos y)))))) (+ (* 1.5 (cos y)) (- (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0) (* 0.5 (+ (cos x) (* (sqrt 5.0) (cos y)))))) 0.826 * * * [progress]: adding candidates to table 1.654 * * [progress]: iteration 2 / 4 1.654 * * * [progress]: picking best candidate 1.767 * * * * [pick]: Picked # 1.768 * * * [progress]: localizing error 1.800 * * * [progress]: generating rewritten candidates 1.801 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 1.805 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 1 1) 1.809 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 1.819 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 1.833 * * * [progress]: generating series expansions 1.833 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 1.833 * [approximate]: Approximating (- (cos x) (cos y)) in (x y) around 0 1.834 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 1.838 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 1.843 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 1.849 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 1.857 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 1.857 * [approximate]: Approximating (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 1.859 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.863 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.869 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.877 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.877 * [approximate]: Approximating (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 1.879 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.883 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.889 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.896 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.897 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 1 1) 1.897 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 1.899 * [approximate]: Approximating (- (+ (* 1.5 (cos y)) (* 0.5 (* (sqrt 5.0) (cos x)))) (+ (* 0.5 (* (sqrt 5.0) (cos y))) (* 0.5 (cos x)))) in (x y) around 0 1.914 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos y)) (* 0.5 (* (sqrt 5.0) (cos x)))) (+ (* 0.5 (* (sqrt 5.0) (cos y))) (* 0.5 (cos x)))) in y 1.935 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos y)) (* 0.5 (* (sqrt 5.0) (cos x)))) (+ (* 0.5 (* (sqrt 5.0) (cos y))) (* 0.5 (cos x)))) in y 1.962 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos y)) (* 0.5 (* (sqrt 5.0) (cos x)))) (+ (* 0.5 (* (sqrt 5.0) (cos y))) (* 0.5 (cos x)))) in y 1.994 * [approximate]: Approximating (- (+ (* 1.5 (cos (/ 1 y))) (* 0.5 (* (sqrt 5.0) (cos (/ 1 x))))) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in (x y) around 0 2.006 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos (/ 1 y))) (* 0.5 (* (sqrt 5.0) (cos (/ 1 x))))) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in y 2.023 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos (/ 1 y))) (* 0.5 (* (sqrt 5.0) (cos (/ 1 x))))) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in y 2.046 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos (/ 1 y))) (* 0.5 (* (sqrt 5.0) (cos (/ 1 x))))) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in y 2.078 * [taylor]: Taking taylor expansion of (- (+ (* 1.5 (cos (/ 1 y))) (* 0.5 (* (sqrt 5.0) (cos (/ 1 x))))) (+ (* 0.5 (* (cos (/ 1 y)) (sqrt 5.0))) (* 0.5 (cos (/ 1 x))))) in y 2.082 * [approximate]: Approximating (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 1.5 (cos (/ -1 y)))) (+ (* 0.5 (cos (/ -1 x))) (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))))) in (x y) around 0 2.095 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 1.5 (cos (/ -1 y)))) (+ (* 0.5 (cos (/ -1 x))) (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))))) in y 2.112 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 1.5 (cos (/ -1 y)))) (+ (* 0.5 (cos (/ -1 x))) (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))))) in y 2.137 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 1.5 (cos (/ -1 y)))) (+ (* 0.5 (cos (/ -1 x))) (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))))) in y 2.166 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 1.5 (cos (/ -1 y)))) (+ (* 0.5 (cos (/ -1 x))) (* 0.5 (* (sqrt 5.0) (cos (/ -1 y)))))) in y 2.168 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 2.168 * [approximate]: Approximating (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 2.171 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 2.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 2.190 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 2.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 2.211 * [approximate]: Approximating (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 2.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 2.222 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 2.231 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 2.243 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 2.244 * [approximate]: Approximating (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 2.249 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 2.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 2.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 2.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 2.276 * * * [progress]: simplifying candidates 2.278 * [simplify]: Simplifying using # : (* (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)))) (neg (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)) (neg (cos y)) (/ (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)))) (neg (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)) (neg (sqrt 5.0)) (* (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (exp (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (log (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (exp (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (* (cbrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (cbrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (cbrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (* (* (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (sqrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (sqrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (+ (* (* (- (sqrt 5.0) 1.0) (cos x)) 2.0) (* 2.0 (* (- 3.0 (sqrt 5.0)) (cos y)))) (* 2.0 2.0) (+ (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3) (pow (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) 3)) (+ (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (- (* (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (- (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (- (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (log (sqrt 2.0)) (log (- (sin x) (/ (sin y) 16.0)))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (- (sin x) (/ (sin y) 16.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin x) (/ (sin y) 16.0)))) (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sin x) (sqrt 2.0)) (* (neg (/ (sin y) 16.0)) (sqrt 2.0)) (* (sin x) (sqrt 2.0)) (* (neg (/ (sin y) 16.0)) (sqrt 2.0)) (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) 1) (* (sqrt 2.0) (+ (sqrt (sin x)) (sqrt (/ (sin y) 16.0)))) (* (sqrt 2.0) (+ (sqrt (sin x)) (/ (sqrt (sin y)) (sqrt 16.0)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 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)) (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (- (+ (* 0.25 (pow x 2)) (+ (* 0.25 (* (sqrt 5.0) (pow y 2))) 1.0)) (+ (* 0.75 (pow y 2)) (* 0.25 (* (sqrt 5.0) (pow x 2))))) (- (+ (* 1.5 (cos y)) (* 0.5 (* (sqrt 5.0) (cos x)))) (+ (* 0.5 (* (sqrt 5.0) (cos y))) (* 0.5 (cos x)))) (- (+ (* 1.5 (cos y)) (* 0.5 (* (sqrt 5.0) (cos x)))) (+ (* 0.5 (* (sqrt 5.0) (cos y))) (* 0.5 (cos x)))) (- (* (sqrt 2.0) x) (+ (* 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)))) 2.283 * * [simplify]: iteration 0 : 500 enodes (cost 732 ) 2.292 * * [simplify]: iteration 1 : 1775 enodes (cost 673 ) 2.322 * * [simplify]: iteration 2 : 5002 enodes (cost 670 ) 2.326 * [simplify]: Simplified to: (* (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)) (+ (* (cos y) (+ (cos y) (cos x))) (* (cos x) (cos x))) (neg (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)) (neg (cos y)) (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)) (+ (* 3.0 (+ 3.0 (sqrt 5.0))) 5.0) (neg (sqrt 5.0)) (+ (* 3.0 3.0) (neg 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)) (neg (sqrt 5.0)) (exp (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (log (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (exp (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (* (cbrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (cbrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (cbrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (pow (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) 3) (sqrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (sqrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (* 2.0 (+ (* (- 3.0 (sqrt 5.0)) (cos y)) (* (- (sqrt 5.0) 1.0) (cos x)))) (* 2.0 2.0) (+ (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3) (pow (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) 3)) (+ (* (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (- (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (- (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))) (- (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sqrt (- (sin x) (/ (sin y) 16.0)))) (sqrt 2.0) (* (sqrt 2.0) (+ (sqrt (sin x)) (sqrt (/ (sin y) 16.0)))) (* (sqrt 2.0) (+ (sqrt (sin x)) (/ (sqrt (sin y)) (sqrt 16.0)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 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)) (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))) (+ (* 0.25 (+ (pow x 2) (* (sqrt 5.0) (pow y 2)))) (- 1.0 (+ (* 0.75 (pow y 2)) (* 0.25 (* (sqrt 5.0) (pow x 2)))))) (- (* (* 0.5 (sqrt 5.0)) (- (cos x) (cos y))) (- (* 0.5 (cos x)) (* 1.5 (cos y)))) (- (* (* 0.5 (sqrt 5.0)) (- (cos x) (cos y))) (- (* 0.5 (cos x)) (* 1.5 (cos y)))) (- (* (sqrt 2.0) x) (+ (* 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)))) 2.326 * * * [progress]: adding candidates to table 3.096 * * [progress]: iteration 3 / 4 3.096 * * * [progress]: picking best candidate 3.216 * * * * [pick]: Picked # 3.216 * * * [progress]: localizing error 3.252 * * * [progress]: generating rewritten candidates 3.252 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 3.256 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 3.266 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 3.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.295 * * * [progress]: generating series expansions 3.296 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 3.296 * [approximate]: Approximating (- (cos x) (cos y)) in (x y) around 0 3.297 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 3.301 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 3.306 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 3.312 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 3.319 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 3.320 * [approximate]: Approximating (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 3.321 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 3.325 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 3.332 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 3.339 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 3.339 * [approximate]: Approximating (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 3.341 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.345 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.352 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.363 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.363 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 3.368 * [approximate]: Approximating (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) in (x y) around 0 3.385 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) in y 3.413 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) in y 3.441 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) in y 3.482 * [approximate]: Approximating (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in (x y) around 0 3.500 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in y 3.521 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in y 3.543 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in y 3.573 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in y 3.579 * [approximate]: Approximating (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in (x y) around 0 3.599 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in y 3.617 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in y 3.640 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in y 3.672 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in y 3.674 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 3.674 * [approximate]: Approximating (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 3.677 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 3.683 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 3.695 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 3.706 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 3.713 * [approximate]: Approximating (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 3.718 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 3.724 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 3.733 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 3.748 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 3.749 * [approximate]: Approximating (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 3.754 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 3.760 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 3.770 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 3.782 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 3.782 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.788 * [approximate]: Approximating (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos y)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin y) (* (sin x) (cos x))))) (+ (* 0.0625 (* (cos y) (* (sqrt 2.0) (pow (sin x) 2)))) 2.0))) (+ (* 1.00390625 (* (cos y) (* (sqrt 2.0) (* (sin y) (sin x))))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin x) 2) (cos x)))) (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos x))))))) (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (* 0.5 (cos x))))) in (x y) around 0 3.884 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos y)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin y) (* (sin x) (cos x))))) (+ (* 0.0625 (* (cos y) (* (sqrt 2.0) (pow (sin x) 2)))) 2.0))) (+ (* 1.00390625 (* (cos y) (* (sqrt 2.0) (* (sin y) (sin x))))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin x) 2) (cos x)))) (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos x))))))) (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (* 0.5 (cos x))))) in y 3.968 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos y)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin y) (* (sin x) (cos x))))) (+ (* 0.0625 (* (cos y) (* (sqrt 2.0) (pow (sin x) 2)))) 2.0))) (+ (* 1.00390625 (* (cos y) (* (sqrt 2.0) (* (sin y) (sin x))))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin x) 2) (cos x)))) (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos x))))))) (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (* 0.5 (cos x))))) in y 4.136 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos y)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin y) (* (sin x) (cos x))))) (+ (* 0.0625 (* (cos y) (* (sqrt 2.0) (pow (sin x) 2)))) 2.0))) (+ (* 1.00390625 (* (cos y) (* (sqrt 2.0) (* (sin y) (sin x))))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin x) 2) (cos x)))) (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos x))))))) (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (* 0.5 (cos x))))) in y 4.766 * [approximate]: Approximating (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 x)) 2)))) (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ 1 y)) (* (cos (/ 1 x)) (sin (/ 1 x)))))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ 1 y)) 2) (cos (/ 1 x))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ 1 x)) (pow (sin (/ 1 x)) 2)))) (* 1.00390625 (* (cos (/ 1 y)) (* (sqrt 2.0) (* (sin (/ 1 y)) (sin (/ 1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (+ (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ 1 x)))))) in (x y) around 0 4.906 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 x)) 2)))) (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ 1 y)) (* (cos (/ 1 x)) (sin (/ 1 x)))))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ 1 y)) 2) (cos (/ 1 x))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ 1 x)) (pow (sin (/ 1 x)) 2)))) (* 1.00390625 (* (cos (/ 1 y)) (* (sqrt 2.0) (* (sin (/ 1 y)) (sin (/ 1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (+ (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ 1 x)))))) in y 5.012 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 x)) 2)))) (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ 1 y)) (* (cos (/ 1 x)) (sin (/ 1 x)))))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ 1 y)) 2) (cos (/ 1 x))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ 1 x)) (pow (sin (/ 1 x)) 2)))) (* 1.00390625 (* (cos (/ 1 y)) (* (sqrt 2.0) (* (sin (/ 1 y)) (sin (/ 1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (+ (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ 1 x)))))) in y 5.142 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 x)) 2)))) (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ 1 y)) (* (cos (/ 1 x)) (sin (/ 1 x)))))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ 1 y)) 2) (cos (/ 1 x))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ 1 x)) (pow (sin (/ 1 x)) 2)))) (* 1.00390625 (* (cos (/ 1 y)) (* (sqrt 2.0) (* (sin (/ 1 y)) (sin (/ 1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (+ (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ 1 x)))))) in y 5.309 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 x)) 2)))) (+ (* 0.0625 (* (cos (/ 1 y)) (* (sqrt 2.0) (pow (sin (/ 1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ 1 y)) (* (cos (/ 1 x)) (sin (/ 1 x)))))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ 1 y)) 2) (cos (/ 1 x))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ 1 x)) (pow (sin (/ 1 x)) 2)))) (* 1.00390625 (* (cos (/ 1 y)) (* (sqrt 2.0) (* (sin (/ 1 y)) (sin (/ 1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (+ (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ 1 x)))))) in y 5.322 * [approximate]: Approximating (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ -1 y)) (* (sqrt 2.0) (pow (sin (/ -1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ -1 y)) (* (cos (/ -1 x)) (sin (/ -1 x)))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 y)) (pow (sin (/ -1 x)) 2)))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 x)) (pow (sin (/ -1 x)) 2)))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ -1 y)) 2) (cos (/ -1 x))))) (* 1.00390625 (* (cos (/ -1 y)) (* (sqrt 2.0) (* (sin (/ -1 y)) (sin (/ -1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ -1 x)))))) in (x y) around 0 5.462 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ -1 y)) (* (sqrt 2.0) (pow (sin (/ -1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ -1 y)) (* (cos (/ -1 x)) (sin (/ -1 x)))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 y)) (pow (sin (/ -1 x)) 2)))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 x)) (pow (sin (/ -1 x)) 2)))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ -1 y)) 2) (cos (/ -1 x))))) (* 1.00390625 (* (cos (/ -1 y)) (* (sqrt 2.0) (* (sin (/ -1 y)) (sin (/ -1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ -1 x)))))) in y 5.568 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ -1 y)) (* (sqrt 2.0) (pow (sin (/ -1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ -1 y)) (* (cos (/ -1 x)) (sin (/ -1 x)))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 y)) (pow (sin (/ -1 x)) 2)))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 x)) (pow (sin (/ -1 x)) 2)))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ -1 y)) 2) (cos (/ -1 x))))) (* 1.00390625 (* (cos (/ -1 y)) (* (sqrt 2.0) (* (sin (/ -1 y)) (sin (/ -1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ -1 x)))))) in y 5.696 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ -1 y)) (* (sqrt 2.0) (pow (sin (/ -1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ -1 y)) (* (cos (/ -1 x)) (sin (/ -1 x)))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 y)) (pow (sin (/ -1 x)) 2)))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 x)) (pow (sin (/ -1 x)) 2)))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ -1 y)) 2) (cos (/ -1 x))))) (* 1.00390625 (* (cos (/ -1 y)) (* (sqrt 2.0) (* (sin (/ -1 y)) (sin (/ -1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ -1 x)))))) in y 5.863 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (+ (* 0.0625 (* (cos (/ -1 y)) (* (sqrt 2.0) (pow (sin (/ -1 y)) 2)))) (+ (* 1.00390625 (* (sqrt 2.0) (* (sin (/ -1 y)) (* (cos (/ -1 x)) (sin (/ -1 x)))))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 y)) (pow (sin (/ -1 x)) 2)))) 2.0))) (+ (* 0.0625 (* (sqrt 2.0) (* (cos (/ -1 x)) (pow (sin (/ -1 x)) 2)))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin (/ -1 y)) 2) (cos (/ -1 x))))) (* 1.00390625 (* (cos (/ -1 y)) (* (sqrt 2.0) (* (sin (/ -1 y)) (sin (/ -1 x))))))))) (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (+ (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0))) 1.0)) (* 0.5 (cos (/ -1 x)))))) in y 5.869 * * * [progress]: simplifying candidates 5.871 * [simplify]: Simplifying using # : (* (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))) 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0.5 (sqrt 5.0)) (+ (* 2.0 (/ 1 (+ (sqrt 5.0) 3.0))) 0.5)))) (+ (* 0.16666666666666666 (/ (* (sqrt 5.0) (pow x 2)) (pow (+ (* 0.5 (sqrt 5.0)) (+ (* 2.0 (/ 1 (+ (sqrt 5.0) 3.0))) 0.5)) 2))) (* 0.6666666666666666 (/ (pow y 2) (* (pow (+ (* 0.5 (sqrt 5.0)) (+ (* 2.0 (/ 1 (+ (sqrt 5.0) 3.0))) 0.5)) 2) (+ (sqrt 5.0) 3.0)))))) (* 0.16666666666666666 (/ (pow x 2) (pow (+ (* 0.5 (sqrt 5.0)) (+ (* 2.0 (/ 1 (+ (sqrt 5.0) 3.0))) 0.5)) 2)))) (/ (* (- (- (+ (+ 2.0 (* 0.0625 (+ (* (sqrt 2.0) (* (pow (sin y) 2) (cos y))) (* (pow (sin x) 2) (* (sqrt 2.0) (cos y)))))) (* 1.00390625 (* (sqrt 2.0) (* (sin y) (* (sin x) (cos x)))))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin x) 2) (cos x)))) (* 1.00390625 (* (cos y) (* (sqrt 2.0) (* (sin y) (sin x))))))) (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos x))))) 0.3333333333333333) (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (* 0.5 (cos x)))) (/ (* (- (- (+ (+ 2.0 (* 0.0625 (+ (* (sqrt 2.0) (* (pow (sin y) 2) (cos y))) (* (pow (sin x) 2) (* (sqrt 2.0) (cos y)))))) (* 1.00390625 (* (sqrt 2.0) (* (sin y) (* (sin x) (cos x)))))) (+ (* 0.0625 (* (sqrt 2.0) (* (pow (sin x) 2) (cos x)))) (* 1.00390625 (* (cos y) (* (sqrt 2.0) (* (sin y) (sin x))))))) (* 0.0625 (* (sqrt 2.0) (* (pow (sin y) 2) (cos x))))) 0.3333333333333333) (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (+ (* 0.5 (* (sqrt 5.0) (cos x))) 1.0)) (* 0.5 (cos x)))) 5.965 * * * [progress]: adding candidates to table 6.850 * * [progress]: iteration 4 / 4 6.850 * * * [progress]: picking best candidate 6.963 * * * * [pick]: Picked # 6.963 * * * [progress]: localizing error 6.999 * * * [progress]: generating rewritten candidates 6.999 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 7.003 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 7.013 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) 7.027 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 7.040 * * * [progress]: generating series expansions 7.040 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 7.041 * [approximate]: Approximating (- (cos x) (cos y)) in (x y) around 0 7.041 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 7.045 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 7.050 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 7.056 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 7.064 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 7.065 * [approximate]: Approximating (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 7.067 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 7.071 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 7.077 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 7.085 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 7.086 * [approximate]: Approximating (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 7.088 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 7.091 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 7.098 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 7.108 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 7.109 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 7.113 * [approximate]: Approximating (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) in (x y) around 0 7.131 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) in y 7.158 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) in y 7.186 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) in y 7.227 * [approximate]: Approximating (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in (x y) around 0 7.244 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in y 7.265 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in y 7.287 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in y 7.316 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ 1 x)))) (* 2.0 (/ (cos (/ 1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ 1 x)))) in y 7.322 * [approximate]: Approximating (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in (x y) around 0 7.342 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in y 7.360 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in y 7.382 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in y 7.414 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (sqrt 5.0) (cos (/ -1 x)))) (* 2.0 (/ (cos (/ -1 y)) (+ (sqrt 5.0) 3.0)))) (* 0.5 (cos (/ -1 x)))) in y 7.415 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1) 7.416 * [approximate]: Approximating (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 7.419 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 7.425 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 7.437 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 7.448 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 7.455 * [approximate]: Approximating (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 7.460 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 7.466 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 7.475 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 7.490 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 7.491 * [approximate]: Approximating (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 7.495 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 7.501 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 7.510 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 7.522 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 7.523 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 7.524 * [approximate]: Approximating (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) in (x) around 0 7.568 * [approximate]: Approximating (* 0.5 (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0))) in (x) around 0 7.601 * [approximate]: Approximating (* 0.5 (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0))) in (x) around 0 7.635 * * * [progress]: simplifying candidates 7.637 * [simplify]: Simplifying using # : (* (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)))) (neg (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)) (neg (cos y)) (* (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (exp (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (log (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (exp (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (* (cbrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (cbrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y))))) (cbrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (* (* (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y))) (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (sqrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (sqrt (+ (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (+ (* (* (- (sqrt 5.0) 1.0) (cos x)) 2.0) (* 2.0 (* (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) (cos y)))) (* 2.0 2.0) (+ (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3) (pow (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)) 3)) (+ (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (- (* (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y))) (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y))))) (- (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))) (- (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (log (sqrt 2.0)) (log (- (sin x) (/ (sin y) 16.0)))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (- (sin x) (/ (sin y) 16.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin x) (/ (sin y) 16.0)))) (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (neg (/ (sin y) 16.0))) (* (sin x) (sqrt 2.0)) (* (neg (/ (sin y) 16.0)) (sqrt 2.0)) (* (sin x) (sqrt 2.0)) (* (neg (/ (sin y) 16.0)) (sqrt 2.0)) (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) 1) (* (sqrt 2.0) (+ (sqrt (sin x)) (sqrt (/ (sin y) 16.0)))) (* (sqrt 2.0) (+ (sqrt (sin x)) (/ (sqrt (sin y)) (sqrt 16.0)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (+ (- (log (- (sqrt 5.0) 1.0)) (log 2.0)) (log (cos x))) (+ (log (/ (- (sqrt 5.0) 1.0) 2.0)) (log (cos x))) (log (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (* (* (- (sqrt 5.0) 1.0) (- (sqrt 5.0) 1.0)) (- (sqrt 5.0) 1.0)) (* (* 2.0 2.0) 2.0)) (* (* (cos x) (cos x)) (cos x))) (* (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (/ (- (sqrt 5.0) 1.0) 2.0)) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (* (cbrt (cos x)) (cbrt (cos x)))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (sqrt (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) 1) (* (cbrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ 1 2.0) (cos x)) (* (- (sqrt 5.0) 1.0) (cos x)) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (- (+ (* 0.5 (sqrt 5.0)) (+ (* 0.25 (pow x 2)) (* 2.0 (/ 1 (+ (sqrt 5.0) 3.0))))) (+ (* 1.0 (/ (pow y 2) (+ (sqrt 5.0) 3.0))) (+ (* 0.25 (* (sqrt 5.0) (pow x 2))) 0.5))) (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) (- (+ (* 2.0 (/ (cos y) (+ (sqrt 5.0) 3.0))) (* 0.5 (* (sqrt 5.0) (cos x)))) (* 0.5 (cos x))) (- (* (sqrt 2.0) x) (+ (* 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)))) (- (+ (* 0.5 (sqrt 5.0)) (+ (* 0.25 (pow x 2)) (* 0.020833333333333332 (* (sqrt 5.0) (pow x 4))))) (+ (* 0.020833333333333332 (pow x 4)) (+ (* 0.25 (* (sqrt 5.0) (pow x 2))) 0.5))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) 7.644 * * [simplify]: iteration 0 : 639 enodes (cost 1043 ) 7.654 * * [simplify]: iteration 1 : 2449 enodes (cost 963 ) 7.695 * * [simplify]: iteration 2 : 5001 enodes (cost 963 ) 7.700 * [simplify]: Simplified to: (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos 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(* (sqrt 5.0) (pow x 2))) 0.5))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) 7.700 * * * [progress]: adding candidates to table 8.904 * [progress]: [Phase 3 of 3] Extracting. 8.904 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 8.925 * * * [regime-changes]: Trying 2 branch expressions: (y x) 8.925 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # #) 9.059 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 9.192 * * * [regime]: Found split indices: #