16.642 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.176 * * * [progress]: [2/2] Setting up program. 0.182 * [progress]: [Phase 2 of 3] Improving. 0.182 * [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))))) 0.185 * * [simplify]: iteration 0 : 74 enodes (cost 30 ) 0.187 * * [simplify]: iteration 1 : 193 enodes (cost 27 ) 0.190 * * [simplify]: iteration 2 : 704 enodes (cost 27 ) 0.202 * * [simplify]: iteration 3 : 2994 enodes (cost 27 ) 0.237 * * [simplify]: iteration 4 : 5001 enodes (cost 27 ) 0.237 * [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) 0.244 * * [progress]: iteration 1 / 4 0.244 * * * [progress]: picking best candidate 0.253 * * * * [pick]: Picked # 0.253 * * * [progress]: localizing error 0.289 * * * [progress]: generating rewritten candidates 0.289 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 0.294 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 0.299 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 0.313 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.355 * * * [progress]: generating series expansions 0.355 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 0.355 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 0.355 * [taylor]: Taking taylor expansion of (cos x) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (cos y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 0.355 * [taylor]: Taking taylor expansion of (cos x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (cos y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 0.355 * [taylor]: Taking taylor expansion of (cos x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (cos y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 0.356 * [taylor]: Taking taylor expansion of 1 in y 0.356 * [taylor]: Taking taylor expansion of (cos y) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of -1/2 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 1/24 in y 0.375 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 0.375 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.375 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 0.375 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 0.376 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.377 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.391 * [taylor]: Taking taylor expansion of -1 in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.391 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.391 * [taylor]: Taking taylor expansion of -1 in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 0.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.392 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 0.392 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.392 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.393 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 0.393 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.393 * [taylor]: Taking taylor expansion of -1 in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.393 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.393 * [taylor]: Taking taylor expansion of -1 in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 0.407 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 0.407 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 0.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.408 * [taylor]: Taking taylor expansion of 2.0 in y 0.408 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in y 0.408 * [taylor]: Taking taylor expansion of (sin x) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in y 0.408 * [taylor]: Taking taylor expansion of 0.0625 in y 0.408 * [taylor]: Taking taylor expansion of (sin y) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.408 * [taylor]: Taking taylor expansion of 2.0 in x 0.409 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.409 * [taylor]: Taking taylor expansion of (sin x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.409 * [taylor]: Taking taylor expansion of 0.0625 in x 0.409 * [taylor]: Taking taylor expansion of (sin y) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.409 * [taylor]: Taking taylor expansion of 2.0 in x 0.410 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.410 * [taylor]: Taking taylor expansion of (sin x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.410 * [taylor]: Taking taylor expansion of 0.0625 in x 0.410 * [taylor]: Taking taylor expansion of (sin y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of (* -0.0625 (* (sqrt 2.0) (sin y))) in y 0.411 * [taylor]: Taking taylor expansion of -0.0625 in y 0.411 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sin y)) in y 0.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.411 * [taylor]: Taking taylor expansion of 2.0 in y 0.412 * [taylor]: Taking taylor expansion of (sin y) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.415 * [taylor]: Taking taylor expansion of 2.0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of (- (* 1/6 (sqrt 2.0))) in y 0.439 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt 2.0)) in y 0.439 * [taylor]: Taking taylor expansion of 1/6 in y 0.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.440 * [taylor]: Taking taylor expansion of 2.0 in y 0.445 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 0.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.445 * [taylor]: Taking taylor expansion of 2.0 in y 0.446 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.446 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.446 * [taylor]: Taking taylor expansion of 0.0625 in y 0.446 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.447 * [taylor]: Taking taylor expansion of 2.0 in x 0.447 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.447 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.448 * [taylor]: Taking taylor expansion of 0.0625 in x 0.448 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.448 * [taylor]: Taking taylor expansion of 2.0 in x 0.449 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.449 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.449 * [taylor]: Taking taylor expansion of 0.0625 in x 0.449 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.450 * [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) in y 0.450 * [taylor]: Taking taylor expansion of 2.0 in y 0.451 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.451 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.451 * [taylor]: Taking taylor expansion of 0.0625 in y 0.451 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 0.471 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.471 * [taylor]: Taking taylor expansion of 2.0 in y 0.472 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.472 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.472 * [taylor]: Taking taylor expansion of 0.0625 in y 0.472 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.472 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 0.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.473 * [taylor]: Taking taylor expansion of 2.0 in x 0.473 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.473 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.473 * [taylor]: Taking taylor expansion of -1 in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.474 * [taylor]: Taking taylor expansion of 0.0625 in x 0.474 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.474 * [taylor]: Taking taylor expansion of 2.0 in x 0.475 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.475 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.475 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.475 * [taylor]: Taking taylor expansion of 0.0625 in x 0.475 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.475 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.475 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.476 * [taylor]: Taking taylor expansion of 2.0 in y 0.477 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.477 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.477 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.477 * [taylor]: Taking taylor expansion of -1 in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.477 * [taylor]: Taking taylor expansion of 0.0625 in y 0.477 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.477 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.477 * [taylor]: Taking taylor expansion of -1 in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.498 * [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 0.498 * [taylor]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in y 0.498 * [taylor]: Taking taylor expansion of (- (sin y) (* 0.0625 (sin x))) in y 0.498 * [taylor]: Taking taylor expansion of (sin y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (* 0.0625 (sin x)) in y 0.498 * [taylor]: Taking taylor expansion of 0.0625 in y 0.498 * [taylor]: Taking taylor expansion of (sin x) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 0.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.498 * [taylor]: Taking taylor expansion of 2.0 in y 0.499 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in y 0.499 * [taylor]: Taking taylor expansion of (sin x) in y 0.499 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in y 0.499 * [taylor]: Taking taylor expansion of 0.0625 in y 0.499 * [taylor]: Taking taylor expansion of (sin y) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in x 0.499 * [taylor]: Taking taylor expansion of (- (sin y) (* 0.0625 (sin x))) in x 0.499 * [taylor]: Taking taylor expansion of (sin y) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (* 0.0625 (sin x)) in x 0.499 * [taylor]: Taking taylor expansion of 0.0625 in x 0.499 * [taylor]: Taking taylor expansion of (sin x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.499 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.499 * [taylor]: Taking taylor expansion of 2.0 in x 0.500 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.500 * [taylor]: Taking taylor expansion of (sin x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.500 * [taylor]: Taking taylor expansion of 0.0625 in x 0.500 * [taylor]: Taking taylor expansion of (sin y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in x 0.500 * [taylor]: Taking taylor expansion of (- (sin y) (* 0.0625 (sin x))) in x 0.500 * [taylor]: Taking taylor expansion of (sin y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (* 0.0625 (sin x)) in x 0.500 * [taylor]: Taking taylor expansion of 0.0625 in x 0.500 * [taylor]: Taking taylor expansion of (sin x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.500 * [taylor]: Taking taylor expansion of 2.0 in x 0.501 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.501 * [taylor]: Taking taylor expansion of (sin x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.501 * [taylor]: Taking taylor expansion of 0.0625 in x 0.501 * [taylor]: Taking taylor expansion of (sin y) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (* -0.0625 (* (sqrt 2.0) (pow (sin y) 2))) in y 0.502 * [taylor]: Taking taylor expansion of -0.0625 in y 0.503 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (sin y) 2)) in y 0.503 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.503 * [taylor]: Taking taylor expansion of 2.0 in y 0.503 * [taylor]: Taking taylor expansion of (pow (sin y) 2) in y 0.503 * [taylor]: Taking taylor expansion of (sin y) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (* 1.00390625 (* (sqrt 2.0) (sin y))) in y 0.516 * [taylor]: Taking taylor expansion of 1.00390625 in y 0.516 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sin y)) in y 0.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.516 * [taylor]: Taking taylor expansion of 2.0 in y 0.517 * [taylor]: Taking taylor expansion of (sin y) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of (- (* 0.0625 (sqrt 2.0))) in y 0.526 * [taylor]: Taking taylor expansion of (* 0.0625 (sqrt 2.0)) in y 0.526 * [taylor]: Taking taylor expansion of 0.0625 in y 0.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.526 * [taylor]: Taking taylor expansion of 2.0 in y 0.537 * [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 0.537 * [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 0.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.537 * [taylor]: Taking taylor expansion of 2.0 in y 0.538 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.538 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in y 0.538 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in y 0.538 * [taylor]: Taking taylor expansion of 0.0625 in y 0.538 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.538 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.538 * [taylor]: Taking taylor expansion of 0.0625 in y 0.539 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [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 0.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.539 * [taylor]: Taking taylor expansion of 2.0 in x 0.540 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.540 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of 0.0625 in x 0.540 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.540 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.540 * [taylor]: Taking taylor expansion of 0.0625 in x 0.540 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [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 0.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.541 * [taylor]: Taking taylor expansion of 2.0 in x 0.541 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.541 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in x 0.541 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in x 0.542 * [taylor]: Taking taylor expansion of 0.0625 in x 0.542 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.542 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.542 * [taylor]: Taking taylor expansion of 0.0625 in x 0.542 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.544 * [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 0.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.544 * [taylor]: Taking taylor expansion of 2.0 in y 0.544 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x))))) in y 0.544 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.544 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.544 * [taylor]: Taking taylor expansion of 0.0625 in y 0.544 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in y 0.545 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in y 0.545 * [taylor]: Taking taylor expansion of 0.0625 in y 0.545 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [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 0.583 * [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 0.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.583 * [taylor]: Taking taylor expansion of 2.0 in y 0.584 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in y 0.584 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.584 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.584 * [taylor]: Taking taylor expansion of -1 in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.584 * [taylor]: Taking taylor expansion of 0.0625 in y 0.584 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.584 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.584 * [taylor]: Taking taylor expansion of -1 in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in y 0.585 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.585 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.585 * [taylor]: Taking taylor expansion of -1 in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in y 0.585 * [taylor]: Taking taylor expansion of 0.0625 in y 0.585 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.585 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.585 * [taylor]: Taking taylor expansion of -1 in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [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 0.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.585 * [taylor]: Taking taylor expansion of 2.0 in x 0.586 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in x 0.586 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.586 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.586 * [taylor]: Taking taylor expansion of 0.0625 in x 0.587 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.587 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.587 * [taylor]: Taking taylor expansion of -1 in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in x 0.587 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.587 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.587 * [taylor]: Taking taylor expansion of -1 in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in x 0.587 * [taylor]: Taking taylor expansion of 0.0625 in x 0.587 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.587 * [taylor]: Taking taylor expansion of -1 in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [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 0.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.587 * [taylor]: Taking taylor expansion of 2.0 in x 0.588 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in x 0.588 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.588 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.588 * [taylor]: Taking taylor expansion of 0.0625 in x 0.588 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.588 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.589 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.589 * [taylor]: Taking taylor expansion of -1 in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in x 0.589 * [taylor]: Taking taylor expansion of 0.0625 in x 0.589 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.589 * [taylor]: Taking taylor expansion of -1 in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [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 0.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.590 * [taylor]: Taking taylor expansion of 2.0 in y 0.591 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in y 0.591 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.591 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.591 * [taylor]: Taking taylor expansion of -1 in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.591 * [taylor]: Taking taylor expansion of 0.0625 in y 0.591 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.591 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.591 * [taylor]: Taking taylor expansion of -1 in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in y 0.592 * [taylor]: Taking taylor expansion of (sin (/ -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 0.592 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in y 0.592 * [taylor]: Taking taylor expansion of 0.0625 in y 0.592 * [taylor]: Taking taylor expansion of (sin (/ -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 0.604 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.635 * * * [progress]: simplifying candidates 0.642 * [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 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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))))) 0.732 * * * [progress]: adding candidates to table 1.672 * * [progress]: iteration 2 / 4 1.672 * * * [progress]: picking best candidate 1.746 * * * * [pick]: Picked # 1.746 * * * [progress]: localizing error 1.798 * * * [progress]: generating rewritten candidates 1.798 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 1.803 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1 2 2 2) 1.804 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1 1 2 1 1 2) 1.806 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 1 1 2 2) 1.808 * * * [progress]: generating series expansions 1.808 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 1.808 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 1.808 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 1.808 * [taylor]: Taking taylor expansion of (cos x) in y 1.809 * [taylor]: Taking taylor expansion of x in y 1.809 * [taylor]: Taking taylor expansion of (cos y) in y 1.809 * [taylor]: Taking taylor expansion of y in y 1.809 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 1.809 * [taylor]: Taking taylor expansion of (cos x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of (cos y) in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.809 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 1.809 * [taylor]: Taking taylor expansion of (cos x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of (cos y) in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.810 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 1.810 * [taylor]: Taking taylor expansion of 1 in y 1.810 * [taylor]: Taking taylor expansion of (cos y) in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.812 * [taylor]: Taking taylor expansion of 0 in y 1.816 * [taylor]: Taking taylor expansion of -1/2 in y 1.821 * [taylor]: Taking taylor expansion of 0 in y 1.827 * [taylor]: Taking taylor expansion of 1/24 in y 1.828 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 1.828 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.828 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 1.828 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.828 * [taylor]: Taking taylor expansion of x in y 1.828 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.828 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.828 * [taylor]: Taking taylor expansion of y in y 1.828 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 1.828 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.828 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.828 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.828 * [taylor]: Taking taylor expansion of y in x 1.829 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 1.829 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.829 * [taylor]: Taking taylor expansion of y in x 1.829 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.830 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 1.830 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.830 * [taylor]: Taking taylor expansion of x in y 1.830 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.830 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.830 * [taylor]: Taking taylor expansion of y in y 1.833 * [taylor]: Taking taylor expansion of 0 in y 1.837 * [taylor]: Taking taylor expansion of 0 in y 1.843 * [taylor]: Taking taylor expansion of 0 in y 1.843 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 1.843 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.843 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 1.843 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.843 * [taylor]: Taking taylor expansion of -1 in y 1.843 * [taylor]: Taking taylor expansion of x in y 1.843 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.843 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.843 * [taylor]: Taking taylor expansion of -1 in y 1.843 * [taylor]: Taking taylor expansion of y in y 1.844 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 1.844 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.844 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.844 * [taylor]: Taking taylor expansion of -1 in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.844 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.844 * [taylor]: Taking taylor expansion of -1 in x 1.844 * [taylor]: Taking taylor expansion of y in x 1.844 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 1.844 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.844 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.844 * [taylor]: Taking taylor expansion of -1 in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.845 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.845 * [taylor]: Taking taylor expansion of -1 in x 1.845 * [taylor]: Taking taylor expansion of y in x 1.845 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.845 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 1.845 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.845 * [taylor]: Taking taylor expansion of -1 in y 1.845 * [taylor]: Taking taylor expansion of x in y 1.845 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.845 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.845 * [taylor]: Taking taylor expansion of -1 in y 1.846 * [taylor]: Taking taylor expansion of y in y 1.848 * [taylor]: Taking taylor expansion of 0 in y 1.853 * [taylor]: Taking taylor expansion of 0 in y 1.859 * [taylor]: Taking taylor expansion of 0 in y 1.859 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1 2 2 2) 1.859 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1 1 2 1 1 2) 1.859 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 1 1 2 2) 1.859 * * * [progress]: simplifying candidates 1.866 * [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 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)) (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) (- (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)))) (- (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) (- (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)))) (- (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) (- (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)))) (- (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))))) 1.871 * * [simplify]: iteration 0 : 274 enodes (cost 573 ) 1.875 * * [simplify]: iteration 1 : 837 enodes (cost 456 ) 1.895 * * [simplify]: iteration 2 : 4703 enodes (cost 438 ) 1.997 * * [simplify]: iteration 3 : 5001 enodes (cost 429 ) 2.000 * [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 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)) (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 (- (cos x) (cos y)) (fma (* (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)))) 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 (- (cos x) (cos y)) (fma (* (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)))) 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 (- (cos x) (cos y)) (fma (* (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)))) 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) 2.001 * * * [progress]: adding candidates to table 2.762 * * [progress]: iteration 3 / 4 2.762 * * * [progress]: picking best candidate 2.832 * * * * [pick]: Picked # 2.832 * * * [progress]: localizing error 2.885 * * * [progress]: generating rewritten candidates 2.885 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1) 2.903 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 2.908 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1 1 2 2 2) 2.909 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1 1 2 1 1 2) 2.923 * * * [progress]: generating series expansions 2.923 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1) 2.923 * [approximate]: Taking taylor expansion of (- (pow (cos x) 3) (pow (cos y) 3)) in (x y) around 0 2.923 * [taylor]: Taking taylor expansion of (- (pow (cos x) 3) (pow (cos y) 3)) in y 2.923 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in y 2.923 * [taylor]: Taking taylor expansion of (cos x) in y 2.923 * [taylor]: Taking taylor expansion of x in y 2.924 * [taylor]: Taking taylor expansion of (pow (cos y) 3) in y 2.924 * [taylor]: Taking taylor expansion of (cos y) in y 2.924 * [taylor]: Taking taylor expansion of y in y 2.924 * [taylor]: Taking taylor expansion of (- (pow (cos x) 3) (pow (cos y) 3)) in x 2.924 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 2.924 * [taylor]: Taking taylor expansion of (cos x) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [taylor]: Taking taylor expansion of (pow (cos y) 3) in x 2.924 * [taylor]: Taking taylor expansion of (cos y) in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.924 * [taylor]: Taking taylor expansion of (- (pow (cos x) 3) (pow (cos y) 3)) in x 2.924 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 2.924 * [taylor]: Taking taylor expansion of (cos x) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [taylor]: Taking taylor expansion of (pow (cos y) 3) in x 2.924 * [taylor]: Taking taylor expansion of (cos y) in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.925 * [taylor]: Taking taylor expansion of (- 1 (pow (cos y) 3)) in y 2.925 * [taylor]: Taking taylor expansion of 1 in y 2.926 * [taylor]: Taking taylor expansion of (pow (cos y) 3) in y 2.926 * [taylor]: Taking taylor expansion of (cos y) in y 2.926 * [taylor]: Taking taylor expansion of y in y 2.930 * [taylor]: Taking taylor expansion of 0 in y 2.936 * [taylor]: Taking taylor expansion of -3/2 in y 2.944 * [taylor]: Taking taylor expansion of 0 in y 2.954 * [taylor]: Taking taylor expansion of 7/8 in y 2.955 * [approximate]: Taking taylor expansion of (- (pow (cos (/ 1 x)) 3) (pow (cos (/ 1 y)) 3)) in (x y) around 0 2.955 * [taylor]: Taking taylor expansion of (- (pow (cos (/ 1 x)) 3) (pow (cos (/ 1 y)) 3)) in y 2.955 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in y 2.955 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 2.955 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.955 * [taylor]: Taking taylor expansion of x in y 2.955 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 3) in y 2.955 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.955 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.955 * [taylor]: Taking taylor expansion of y in y 2.955 * [taylor]: Taking taylor expansion of (- (pow (cos (/ 1 x)) 3) (pow (cos (/ 1 y)) 3)) in x 2.955 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 2.956 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.956 * [taylor]: Taking taylor expansion of x in x 2.956 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 3) in x 2.956 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 2.956 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.956 * [taylor]: Taking taylor expansion of y in x 2.956 * [taylor]: Taking taylor expansion of (- (pow (cos (/ 1 x)) 3) (pow (cos (/ 1 y)) 3)) in x 2.956 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 2.956 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.956 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 3) in x 2.957 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 2.957 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.957 * [taylor]: Taking taylor expansion of y in x 2.958 * [taylor]: Taking taylor expansion of (- (pow (cos (/ 1 x)) 3) (pow (cos (/ 1 y)) 3)) in y 2.958 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in y 2.958 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 2.958 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.958 * [taylor]: Taking taylor expansion of x in y 2.958 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 3) in y 2.958 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.958 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.958 * [taylor]: Taking taylor expansion of y in y 2.962 * [taylor]: Taking taylor expansion of 0 in y 2.973 * [taylor]: Taking taylor expansion of 0 in y 2.982 * [taylor]: Taking taylor expansion of 0 in y 2.983 * [approximate]: Taking taylor expansion of (- (pow (cos (/ -1 x)) 3) (pow (cos (/ -1 y)) 3)) in (x y) around 0 2.983 * [taylor]: Taking taylor expansion of (- (pow (cos (/ -1 x)) 3) (pow (cos (/ -1 y)) 3)) in y 2.983 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in y 2.983 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 2.983 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.983 * [taylor]: Taking taylor expansion of -1 in y 2.983 * [taylor]: Taking taylor expansion of x in y 2.983 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 3) in y 2.983 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.983 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.983 * [taylor]: Taking taylor expansion of -1 in y 2.983 * [taylor]: Taking taylor expansion of y in y 2.984 * [taylor]: Taking taylor expansion of (- (pow (cos (/ -1 x)) 3) (pow (cos (/ -1 y)) 3)) in x 2.984 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 2.984 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.984 * [taylor]: Taking taylor expansion of -1 in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.984 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 3) in x 2.984 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 2.984 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.984 * [taylor]: Taking taylor expansion of -1 in x 2.984 * [taylor]: Taking taylor expansion of y in x 2.985 * [taylor]: Taking taylor expansion of (- (pow (cos (/ -1 x)) 3) (pow (cos (/ -1 y)) 3)) in x 2.985 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 2.985 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.985 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.985 * [taylor]: Taking taylor expansion of -1 in x 2.985 * [taylor]: Taking taylor expansion of x in x 2.985 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 3) in x 2.985 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 2.985 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.985 * [taylor]: Taking taylor expansion of -1 in x 2.985 * [taylor]: Taking taylor expansion of y in x 2.986 * [taylor]: Taking taylor expansion of (- (pow (cos (/ -1 x)) 3) (pow (cos (/ -1 y)) 3)) in y 2.986 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in y 2.986 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 2.986 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.986 * [taylor]: Taking taylor expansion of -1 in y 2.986 * [taylor]: Taking taylor expansion of x in y 2.987 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 3) in y 2.987 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.987 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.987 * [taylor]: Taking taylor expansion of -1 in y 2.987 * [taylor]: Taking taylor expansion of y in y 2.990 * [taylor]: Taking taylor expansion of 0 in y 2.997 * [taylor]: Taking taylor expansion of 0 in y 3.006 * [taylor]: Taking taylor expansion of 0 in y 3.006 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 3.006 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1 1 2 2 2) 3.006 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1 1 2 1 1 2) 3.006 * * * [progress]: simplifying candidates 3.011 * [simplify]: Simplifying using # : (fma (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (- (* (pow (cbrt (cos y)) 3) (pow (* (cbrt (cos y)) (cbrt (cos y))) 3)))) (fma (- (pow (cbrt (cos y)) 3)) (pow (* (cbrt (cos y)) (cbrt (cos y))) 3) (* (pow (cbrt (cos y)) 3) (pow (* (cbrt (cos y)) (cbrt (cos y))) 3))) (fma (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (- (* (pow (sqrt (cos y)) 3) (pow (sqrt (cos y)) 3)))) (fma (- (pow (sqrt (cos y)) 3)) (pow (sqrt (cos y)) 3) (* (pow (sqrt (cos y)) 3) (pow (sqrt (cos y)) 3))) (fma (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (- (* (pow (cos y) 3) (pow 1 3)))) (fma (- (pow (cos y) 3)) (pow 1 3) (* (pow (cos y) 3) (pow 1 3))) (fma (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (- (* (cos y) (* (cos y) (cos y))))) (fma (- (cos y)) (* (cos y) (cos y)) (* (cos y) (* (cos y) (cos y)))) (fma (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (- (* (cbrt (pow (cos y) 3)) (* (cbrt (pow (cos y) 3)) (cbrt (pow (cos y) 3)))))) (fma (- (cbrt (pow (cos y) 3))) (* (cbrt (pow (cos y) 3)) (cbrt (pow (cos y) 3))) (* (cbrt (pow (cos y) 3)) (* (cbrt (pow (cos y) 3)) (cbrt (pow (cos y) 3))))) (fma (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (- (* (pow (cbrt (cos y)) 3) (pow (* (cbrt (cos y)) (cbrt (cos y))) 3)))) (fma (- (pow (cbrt (cos y)) 3)) (pow (* (cbrt (cos y)) (cbrt (cos y))) 3) (* (pow (cbrt (cos y)) 3) (pow (* (cbrt (cos y)) (cbrt (cos y))) 3))) (fma (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (- (* (pow (sqrt (cos y)) 3) (pow (sqrt (cos y)) 3)))) (fma (- (pow (sqrt (cos y)) 3)) (pow (sqrt (cos y)) 3) (* (pow (sqrt (cos y)) 3) (pow (sqrt (cos y)) 3))) (fma (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (- (* (pow (cos y) 3) (pow 1 3)))) (fma (- (pow (cos y) 3)) (pow 1 3) (* (pow (cos y) 3) (pow 1 3))) (fma (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (- (* (* (cos y) (cos y)) (cos y)))) (fma (- (* (cos y) (cos y))) (cos y) (* (* (cos y) (cos y)) (cos y))) (fma (pow (* 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(sqrt (pow (cos y) 3))) (+ (pow (sqrt (cos x)) 3) (pow (cos y) 3/2)) (- (pow (sqrt (cos x)) 3) (pow (cos y) 3/2)) (+ (sqrt (pow (cos x) 3)) (pow (sqrt (cos y)) 3)) (- (sqrt (pow (cos x) 3)) (pow (sqrt (cos y)) 3)) (+ (sqrt (pow (cos x) 3)) (pow (sqrt (cos y)) 3)) (- (sqrt (pow (cos x) 3)) (pow (sqrt (cos y)) 3)) (+ (sqrt (pow (cos x) 3)) (sqrt (pow (cos y) 3))) (- (sqrt (pow (cos x) 3)) (sqrt (pow (cos y) 3))) (+ (sqrt (pow (cos x) 3)) (pow (cos y) 3/2)) (- (sqrt (pow (cos x) 3)) (pow (cos y) 3/2)) (+ (pow (cos x) 3/2) (pow (sqrt (cos y)) 3)) (- (pow (cos x) 3/2) (pow (sqrt (cos y)) 3)) (+ (pow (cos x) 3/2) (pow (sqrt (cos y)) 3)) (- (pow (cos x) 3/2) (pow (sqrt (cos y)) 3)) (+ (pow (cos x) 3/2) (sqrt (pow (cos y) 3))) (- (pow (cos x) 3/2) (sqrt (pow (cos y) 3))) (+ (pow (cos x) 3/2) (pow (cos y) 3/2)) (- (pow (cos x) 3/2) (pow (cos y) 3/2)) (- (pow (cos x) 3) (pow (cos y) 3)) (- (pow (cos x) 3) (pow (cos y) 3)) (- (pow (cos x) 3) (pow (cos y) 3)) (- (pow (cos x) 3) (pow (cos y) 3)) (- (pow (cos x) 3) (pow (cos y) 3)) (- (pow (cos y) 3)) (- (* (* (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) 3/2 (- (* 7/8 (pow x 4)) (* 3/2 (pow x 2)))) (- (pow (cos x) 3) (pow (cos y) 3)) (- (pow (cos x) 3) (pow (cos y) 3)) (/ (/ (fma (fma (* (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)))) (/ (- (pow (cos x) 3) (pow (cos y) 3)) (fma (cos y) (+ (cos x) (cos y)) (* (cos x) (cos x)))) 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) (- (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)))) (/ (- (pow (cos x) 3) (pow (cos y) 3)) (fma (cos y) (+ (cos x) (cos y)) (* (cos x) (cos x)))) 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) (- (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)))) (/ (- (pow (cos x) 3) (pow (cos y) 3)) (fma (cos y) (+ (cos x) (cos y)) (* (cos x) (cos x)))) 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) 3.110 * * * [progress]: adding candidates to table 4.002 * * [progress]: iteration 4 / 4 4.002 * * * [progress]: picking best candidate 4.080 * * * * [pick]: Picked # 4.081 * * * [progress]: localizing error 4.125 * * * [progress]: generating rewritten candidates 4.125 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.130 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 3 1 1 2 2 2) 4.131 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 3 1 1 2 1 1 2) 4.133 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 3 1 1 1 2 2) 4.135 * * * [progress]: generating series expansions 4.135 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.136 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 4.136 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 4.136 * [taylor]: Taking taylor expansion of (cos x) in y 4.136 * [taylor]: Taking taylor expansion of x in y 4.136 * [taylor]: Taking taylor expansion of (cos y) in y 4.136 * [taylor]: Taking taylor expansion of y in y 4.136 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 4.136 * [taylor]: Taking taylor expansion of (cos x) in x 4.136 * [taylor]: Taking taylor expansion of x in x 4.136 * [taylor]: Taking taylor expansion of (cos y) in x 4.136 * [taylor]: Taking taylor expansion of y in x 4.136 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 4.136 * [taylor]: Taking taylor expansion of (cos x) in x 4.136 * [taylor]: Taking taylor expansion of x in x 4.136 * [taylor]: Taking taylor expansion of (cos y) in x 4.136 * [taylor]: Taking taylor expansion of y in x 4.137 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 4.137 * [taylor]: Taking taylor expansion of 1 in y 4.137 * [taylor]: Taking taylor expansion of (cos y) in y 4.137 * [taylor]: Taking taylor expansion of y in y 4.142 * [taylor]: Taking taylor expansion of 0 in y 4.146 * [taylor]: Taking taylor expansion of -1/2 in y 4.151 * [taylor]: Taking taylor expansion of 0 in y 4.157 * [taylor]: Taking taylor expansion of 1/24 in y 4.157 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 4.157 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 4.157 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 4.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.158 * [taylor]: Taking taylor expansion of x in y 4.158 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 4.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.158 * [taylor]: Taking taylor expansion of y in y 4.158 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 4.158 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.158 * [taylor]: Taking taylor expansion of x in x 4.158 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 4.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.158 * [taylor]: Taking taylor expansion of y in x 4.158 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 4.158 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.158 * [taylor]: Taking taylor expansion of x in x 4.159 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 4.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.159 * [taylor]: Taking taylor expansion of y in x 4.159 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 4.159 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 4.159 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.159 * [taylor]: Taking taylor expansion of x in y 4.160 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 4.160 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.160 * [taylor]: Taking taylor expansion of y in y 4.163 * [taylor]: Taking taylor expansion of 0 in y 4.168 * [taylor]: Taking taylor expansion of 0 in y 4.173 * [taylor]: Taking taylor expansion of 0 in y 4.174 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 4.174 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 4.174 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 4.174 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.174 * [taylor]: Taking taylor expansion of -1 in y 4.174 * [taylor]: Taking taylor expansion of x in y 4.174 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 4.174 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.174 * [taylor]: Taking taylor expansion of -1 in y 4.174 * [taylor]: Taking taylor expansion of y in y 4.174 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 4.174 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.174 * [taylor]: Taking taylor expansion of -1 in x 4.174 * [taylor]: Taking taylor expansion of x in x 4.175 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 4.175 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.175 * [taylor]: Taking taylor expansion of -1 in x 4.175 * [taylor]: Taking taylor expansion of y in x 4.175 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 4.175 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.175 * [taylor]: Taking taylor expansion of -1 in x 4.175 * [taylor]: Taking taylor expansion of x in x 4.175 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 4.175 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.175 * [taylor]: Taking taylor expansion of -1 in x 4.175 * [taylor]: Taking taylor expansion of y in x 4.176 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 4.176 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 4.176 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.176 * [taylor]: Taking taylor expansion of -1 in y 4.176 * [taylor]: Taking taylor expansion of x in y 4.176 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 4.176 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.176 * [taylor]: Taking taylor expansion of -1 in y 4.176 * [taylor]: Taking taylor expansion of y in y 4.179 * [taylor]: Taking taylor expansion of 0 in y 4.184 * [taylor]: Taking taylor expansion of 0 in y 4.189 * [taylor]: Taking taylor expansion of 0 in y 4.190 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 3 1 1 2 2 2) 4.190 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 3 1 1 2 1 1 2) 4.190 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 3 1 1 1 2 2) 4.190 * * * [progress]: simplifying candidates 4.191 * [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 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)) (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)) (/ (/ (fma (- (cos x) (cos y)) (fma (* (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)))) 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 (- (cos x) (cos y)) (fma (* (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)))) 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 (- (cos x) (cos y)) (fma (* (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)))) 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) 4.196 * * [simplify]: iteration 0 : 254 enodes (cost 561 ) 4.200 * * [simplify]: iteration 1 : 750 enodes (cost 456 ) 4.217 * * [simplify]: iteration 2 : 4068 enodes (cost 438 ) 4.308 * * [simplify]: iteration 3 : 5001 enodes (cost 428 ) 4.311 * [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 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)) (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 1/2 (- (pow y 2) (pow x 2)) (* 1/24 (pow x 4))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (/ (fma (- (cos x) (cos y)) (fma (* (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)))) 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 (- (cos x) (cos y)) (fma (* (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)))) 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 (- (cos x) (cos y)) (fma (* (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)))) 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) 4.312 * * * [progress]: adding candidates to table 4.827 * [progress]: [Phase 3 of 3] Extracting. 4.827 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 4.849 * * * [regime-changes]: Trying 2 branch expressions: (y x) 4.849 * * * * [regimes]: Trying to branch on y from (# # # # # # # # #) 4.947 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 5.046 * * * [regime]: Found split indices: #