17.133 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.201 * * * [progress]: [2/2] Setting up program. 0.207 * [progress]: [Phase 2 of 3] Improving. 0.208 * [simplify]: Simplifying using # : (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) 0.210 * * [simplify]: iteration 0 : 74 enodes (cost 30 ) 0.212 * * [simplify]: iteration 1 : 182 enodes (cost 30 ) 0.215 * * [simplify]: iteration 2 : 657 enodes (cost 30 ) 0.226 * * [simplify]: iteration 3 : 2727 enodes (cost 30 ) 0.258 * * [simplify]: iteration 4 : 5001 enodes (cost 30 ) 0.259 * [simplify]: Simplified to: (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) 0.259 * * [progress]: iteration 1 / 4 0.259 * * * [progress]: picking best candidate 0.265 * * * * [pick]: Picked # 0.265 * * * [progress]: localizing error 0.297 * * * [progress]: generating rewritten candidates 0.297 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 0.302 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 0.306 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 0.320 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.334 * * * [progress]: generating series expansions 0.334 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 0.334 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 0.334 * [taylor]: Taking taylor expansion of (cos x) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (cos y) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 0.334 * [taylor]: Taking taylor expansion of (cos x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (cos y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 0.334 * [taylor]: Taking taylor expansion of (cos x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (cos y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 0.335 * [taylor]: Taking taylor expansion of 1 in y 0.335 * [taylor]: Taking taylor expansion of (cos y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of -1/2 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 1/24 in y 0.353 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.353 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 0.353 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 0.354 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 0.355 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 0.369 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.369 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 0.369 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.369 * [taylor]: Taking taylor expansion of -1 in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.369 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.369 * [taylor]: Taking taylor expansion of -1 in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 0.369 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.370 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 0.370 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.370 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 0.371 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 0.371 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.371 * [taylor]: Taking taylor expansion of -1 in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.371 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.371 * [taylor]: Taking taylor expansion of -1 in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.386 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 0.386 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 0.386 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 0.386 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 0.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.386 * [taylor]: Taking taylor expansion of 2.0 in y 0.387 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in y 0.387 * [taylor]: Taking taylor expansion of (sin x) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in y 0.387 * [taylor]: Taking taylor expansion of 0.0625 in y 0.387 * [taylor]: Taking taylor expansion of (sin y) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.387 * [taylor]: Taking taylor expansion of 2.0 in x 0.388 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.388 * [taylor]: Taking taylor expansion of (sin x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.388 * [taylor]: Taking taylor expansion of 0.0625 in x 0.388 * [taylor]: Taking taylor expansion of (sin y) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 0.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.388 * [taylor]: Taking taylor expansion of 2.0 in x 0.389 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 0.389 * [taylor]: Taking taylor expansion of (sin x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 0.389 * [taylor]: Taking taylor expansion of 0.0625 in x 0.389 * [taylor]: Taking taylor expansion of (sin y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (* -0.0625 (* (sqrt 2.0) (sin y))) in y 0.389 * [taylor]: Taking taylor expansion of -0.0625 in y 0.389 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sin y)) in y 0.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.389 * [taylor]: Taking taylor expansion of 2.0 in y 0.390 * [taylor]: Taking taylor expansion of (sin y) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.399 * [taylor]: Taking taylor expansion of 2.0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of (- (* 1/6 (sqrt 2.0))) in y 0.417 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt 2.0)) in y 0.417 * [taylor]: Taking taylor expansion of 1/6 in y 0.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.417 * [taylor]: Taking taylor expansion of 2.0 in y 0.422 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.423 * [taylor]: Taking taylor expansion of 2.0 in y 0.423 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.423 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.424 * [taylor]: Taking taylor expansion of 0.0625 in y 0.424 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.424 * [taylor]: Taking taylor expansion of 2.0 in x 0.425 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.425 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.425 * [taylor]: Taking taylor expansion of 0.0625 in x 0.425 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 0.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.425 * [taylor]: Taking taylor expansion of 2.0 in x 0.426 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 0.426 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 0.426 * [taylor]: Taking taylor expansion of 0.0625 in x 0.426 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 0.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.427 * [taylor]: Taking taylor expansion of 2.0 in y 0.428 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 0.428 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 0.428 * [taylor]: Taking taylor expansion of 0.0625 in y 0.428 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.449 * [taylor]: Taking taylor expansion of 2.0 in y 0.450 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.450 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.450 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.450 * [taylor]: Taking taylor expansion of 0.0625 in y 0.450 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.450 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.451 * [taylor]: Taking taylor expansion of 2.0 in x 0.451 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.451 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.452 * [taylor]: Taking taylor expansion of 0.0625 in x 0.452 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.452 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.452 * [taylor]: Taking taylor expansion of -1 in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 0.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.452 * [taylor]: Taking taylor expansion of 2.0 in x 0.453 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 0.453 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.453 * [taylor]: Taking taylor expansion of -1 in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 0.453 * [taylor]: Taking taylor expansion of 0.0625 in x 0.453 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.453 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.453 * [taylor]: Taking taylor expansion of -1 in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 0.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.454 * [taylor]: Taking taylor expansion of 2.0 in y 0.454 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 0.455 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.455 * [taylor]: Taking taylor expansion of -1 in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 0.455 * [taylor]: Taking taylor expansion of 0.0625 in y 0.455 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.455 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.455 * [taylor]: Taking taylor expansion of -1 in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.476 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 0.477 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) in x 0.477 * [taylor]: Taking taylor expansion of 0.5 in x 0.477 * [taylor]: Taking taylor expansion of (* (- (sqrt 5.0) 1.0) (cos x)) in x 0.477 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 0.477 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 0.477 * [taylor]: Taking taylor expansion of 5.0 in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (cos x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) in x 0.478 * [taylor]: Taking taylor expansion of 0.5 in x 0.478 * [taylor]: Taking taylor expansion of (* (- (sqrt 5.0) 1.0) (cos x)) in x 0.478 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 0.478 * [taylor]: Taking taylor expansion of 5.0 in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (cos x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.515 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0))) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0))) in x 0.515 * [taylor]: Taking taylor expansion of 0.5 in x 0.515 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0)) in x 0.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 0.515 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 0.515 * [taylor]: Taking taylor expansion of 5.0 in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0))) in x 0.516 * [taylor]: Taking taylor expansion of 0.5 in x 0.516 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0)) in x 0.516 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 0.517 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 0.517 * [taylor]: Taking taylor expansion of 5.0 in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0))) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0))) in x 0.541 * [taylor]: Taking taylor expansion of 0.5 in x 0.541 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0)) in x 0.541 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.541 * [taylor]: Taking taylor expansion of -1 in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 0.541 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 0.541 * [taylor]: Taking taylor expansion of 5.0 in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0))) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.542 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0)) in x 0.542 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 0.542 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 0.542 * [taylor]: Taking taylor expansion of 5.0 in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * * * [progress]: simplifying candidates 0.573 * [simplify]: Simplifying using # : (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (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)) (/ (exp 3.0) (exp (sqrt 5.0))) (log (- 3.0 (sqrt 5.0))) (exp (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (* (* (- 3.0 (sqrt 5.0)) (- 3.0 (sqrt 5.0))) (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (- (pow 3.0 3) (pow (sqrt 5.0) 3)) (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0)))) (- (sqrt 5.0)) (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))) (+ 3.0 (sqrt 5.0)) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (- 3.0 (sqrt 5.0)) (- (sqrt 5.0)) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (log (sqrt 2.0)) (log (- (sin x) (/ (sin y) 16.0)))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (- (sin x) (/ (sin y) 16.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin x) (/ (sin y) 16.0)))) (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sin x) (sqrt 2.0)) (* (- (/ (sin y) 16.0)) (sqrt 2.0)) (* (sin x) (sqrt 2.0)) (* (- (/ (sin y) 16.0)) (sqrt 2.0)) (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) 1) (* (sqrt 2.0) (+ (sqrt (sin x)) (sqrt (/ (sin y) 16.0)))) (* (sqrt 2.0) (+ (sqrt (sin x)) (/ (sqrt (sin y)) (sqrt 16.0)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (+ (- (log (- (sqrt 5.0) 1.0)) (log 2.0)) (log (cos x))) (+ (log (/ (- (sqrt 5.0) 1.0) 2.0)) (log (cos x))) (log (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (* (* (- (sqrt 5.0) 1.0) (- (sqrt 5.0) 1.0)) (- (sqrt 5.0) 1.0)) (* (* 2.0 2.0) 2.0)) (* (* (cos x) (cos x)) (cos x))) (* (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (/ (- (sqrt 5.0) 1.0) 2.0)) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (* (cbrt (cos x)) (cbrt (cos x)))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (sqrt (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) 1) (* (cbrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ 1 2.0) (cos x)) (* (- (sqrt 5.0) 1.0) (cos x)) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (- (* (sqrt 2.0) x) (+ (* 1/6 (* (sqrt 2.0) (pow x 3))) (* 0.0625 (* (sqrt 2.0) y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (- (+ (* 0.5 (sqrt 5.0)) (+ (* 0.25 (pow x 2)) (* 0.020833333333333332 (* (sqrt 5.0) (pow x 4))))) (+ (* 0.020833333333333332 (pow x 4)) (+ (* 0.25 (* (sqrt 5.0) (pow x 2))) 0.5))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) 0.580 * * [simplify]: iteration 0 : 584 enodes (cost 813 ) 0.590 * * [simplify]: iteration 1 : 2075 enodes (cost 753 ) 0.622 * * [simplify]: iteration 2 : 5001 enodes (cost 753 ) 0.626 * [simplify]: Simplified to: (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos y) (+ (cos y) (cos x))) (* (cos x) (cos x))) (- (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)) (exp (- 3.0 (sqrt 5.0))) (log (- 3.0 (sqrt 5.0))) (exp (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (pow (- 3.0 (sqrt 5.0)) 3) (sqrt (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (- (pow 3.0 3) (pow (sqrt 5.0) 3)) (+ (+ (* 3.0 3.0) 5.0) (* 3.0 (sqrt 5.0))) (- (sqrt 5.0)) (+ (* 3.0 3.0) (- 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)) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sqrt (- (sin x) (/ (sin y) 16.0)))) (sqrt 2.0) (* (sqrt 2.0) (+ (sqrt (sin x)) (sqrt (/ (sin y) 16.0)))) (* (sqrt 2.0) (+ (sqrt (sin x)) (/ (sqrt (sin y)) (sqrt 16.0)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (log (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (log (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (log (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3) (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3) (* (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (* (cbrt (cos x)) (cbrt (cos x)))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (sqrt (cos x))) (/ (- (sqrt 5.0) 1.0) 2.0) (* (cbrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (/ (cos x) 2.0) (* (- (sqrt 5.0) 1.0) (cos x)) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) (- (* (sqrt 2.0) x) (+ (* 1/6 (* (sqrt 2.0) (pow x 3))) (* 0.0625 (* (sqrt 2.0) y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (- (+ (* 0.5 (sqrt 5.0)) (+ (* 0.25 (pow x 2)) (* 0.020833333333333332 (* (sqrt 5.0) (pow x 4))))) (+ (* 0.020833333333333332 (pow x 4)) (+ (* 0.25 (* (sqrt 5.0) (pow x 2))) 0.5))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) 0.627 * * * [progress]: adding candidates to table 1.152 * * [progress]: iteration 2 / 4 1.152 * * * [progress]: picking best candidate 1.218 * * * * [pick]: Picked # 1.218 * * * [progress]: localizing error 1.257 * * * [progress]: generating rewritten candidates 1.257 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 1.262 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 1.266 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1.280 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.294 * * * [progress]: generating series expansions 1.294 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 1.294 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 1.294 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 1.294 * [taylor]: Taking taylor expansion of (cos x) in y 1.294 * [taylor]: Taking taylor expansion of x in y 1.294 * [taylor]: Taking taylor expansion of (cos y) in y 1.294 * [taylor]: Taking taylor expansion of y in y 1.294 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 1.294 * [taylor]: Taking taylor expansion of (cos x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (cos y) in x 1.294 * [taylor]: Taking taylor expansion of y in x 1.294 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 1.294 * [taylor]: Taking taylor expansion of (cos x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (cos y) in x 1.294 * [taylor]: Taking taylor expansion of y in x 1.295 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 1.295 * [taylor]: Taking taylor expansion of 1 in y 1.295 * [taylor]: Taking taylor expansion of (cos y) in y 1.295 * [taylor]: Taking taylor expansion of y in y 1.298 * [taylor]: Taking taylor expansion of 0 in y 1.302 * [taylor]: Taking taylor expansion of -1/2 in y 1.307 * [taylor]: Taking taylor expansion of 0 in y 1.319 * [taylor]: Taking taylor expansion of 1/24 in y 1.319 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 1.319 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.320 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 1.320 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.320 * [taylor]: Taking taylor expansion of y in x 1.320 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 1.320 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.321 * [taylor]: Taking taylor expansion of y in x 1.321 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.321 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 1.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.321 * [taylor]: Taking taylor expansion of x in y 1.321 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.321 * [taylor]: Taking taylor expansion of y in y 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.329 * [taylor]: Taking taylor expansion of 0 in y 1.335 * [taylor]: Taking taylor expansion of 0 in y 1.335 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 1.335 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.335 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 1.335 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.335 * [taylor]: Taking taylor expansion of -1 in y 1.335 * [taylor]: Taking taylor expansion of x in y 1.335 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.335 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.335 * [taylor]: Taking taylor expansion of -1 in y 1.335 * [taylor]: Taking taylor expansion of y in y 1.335 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 1.335 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.335 * [taylor]: Taking taylor expansion of -1 in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.336 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.336 * [taylor]: Taking taylor expansion of -1 in x 1.336 * [taylor]: Taking taylor expansion of y in x 1.336 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 1.336 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.336 * [taylor]: Taking taylor expansion of -1 in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.336 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.336 * [taylor]: Taking taylor expansion of -1 in x 1.336 * [taylor]: Taking taylor expansion of y in x 1.337 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.337 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 1.337 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.337 * [taylor]: Taking taylor expansion of -1 in y 1.337 * [taylor]: Taking taylor expansion of x in y 1.337 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.337 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.337 * [taylor]: Taking taylor expansion of -1 in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.340 * [taylor]: Taking taylor expansion of 0 in y 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.350 * [taylor]: Taking taylor expansion of 0 in y 1.351 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 1.351 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.352 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 1.352 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 1.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.352 * [taylor]: Taking taylor expansion of 2.0 in y 1.353 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in y 1.353 * [taylor]: Taking taylor expansion of (sin x) in y 1.353 * [taylor]: Taking taylor expansion of x in y 1.353 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in y 1.353 * [taylor]: Taking taylor expansion of 0.0625 in y 1.353 * [taylor]: Taking taylor expansion of (sin y) in y 1.353 * [taylor]: Taking taylor expansion of y in y 1.353 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 1.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.353 * [taylor]: Taking taylor expansion of 2.0 in x 1.353 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 1.353 * [taylor]: Taking taylor expansion of (sin x) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 1.354 * [taylor]: Taking taylor expansion of 0.0625 in x 1.354 * [taylor]: Taking taylor expansion of (sin y) in x 1.354 * [taylor]: Taking taylor expansion of y in x 1.354 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 1.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.354 * [taylor]: Taking taylor expansion of 2.0 in x 1.354 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 1.354 * [taylor]: Taking taylor expansion of (sin x) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 1.354 * [taylor]: Taking taylor expansion of 0.0625 in x 1.354 * [taylor]: Taking taylor expansion of (sin y) in x 1.354 * [taylor]: Taking taylor expansion of y in x 1.355 * [taylor]: Taking taylor expansion of (* -0.0625 (* (sqrt 2.0) (sin y))) in y 1.355 * [taylor]: Taking taylor expansion of -0.0625 in y 1.355 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sin y)) in y 1.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.355 * [taylor]: Taking taylor expansion of 2.0 in y 1.356 * [taylor]: Taking taylor expansion of (sin y) in y 1.356 * [taylor]: Taking taylor expansion of y in y 1.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.360 * [taylor]: Taking taylor expansion of 2.0 in y 1.368 * [taylor]: Taking taylor expansion of 0 in y 1.376 * [taylor]: Taking taylor expansion of (- (* 1/6 (sqrt 2.0))) in y 1.376 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt 2.0)) in y 1.376 * [taylor]: Taking taylor expansion of 1/6 in y 1.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.376 * [taylor]: Taking taylor expansion of 2.0 in y 1.383 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 1.383 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 1.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.383 * [taylor]: Taking taylor expansion of 2.0 in y 1.384 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 1.384 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.384 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.384 * [taylor]: Taking taylor expansion of x in y 1.384 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 1.384 * [taylor]: Taking taylor expansion of 0.0625 in y 1.384 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.384 * [taylor]: Taking taylor expansion of y in y 1.384 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 1.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.384 * [taylor]: Taking taylor expansion of 2.0 in x 1.385 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 1.385 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 1.385 * [taylor]: Taking taylor expansion of 0.0625 in x 1.385 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.385 * [taylor]: Taking taylor expansion of y in x 1.385 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 1.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.385 * [taylor]: Taking taylor expansion of 2.0 in x 1.386 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 1.386 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 1.386 * [taylor]: Taking taylor expansion of 0.0625 in x 1.386 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.386 * [taylor]: Taking taylor expansion of y in x 1.387 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 1.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.387 * [taylor]: Taking taylor expansion of 2.0 in y 1.388 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 1.388 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.388 * [taylor]: Taking taylor expansion of x in y 1.388 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 1.388 * [taylor]: Taking taylor expansion of 0.0625 in y 1.388 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.388 * [taylor]: Taking taylor expansion of y in y 1.392 * [taylor]: Taking taylor expansion of 0 in y 1.403 * [taylor]: Taking taylor expansion of 0 in y 1.413 * [taylor]: Taking taylor expansion of 0 in y 1.414 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 1.414 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 1.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.414 * [taylor]: Taking taylor expansion of 2.0 in y 1.415 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 1.415 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.415 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.415 * [taylor]: Taking taylor expansion of -1 in y 1.415 * [taylor]: Taking taylor expansion of x in y 1.415 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 1.415 * [taylor]: Taking taylor expansion of 0.0625 in y 1.415 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.415 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.415 * [taylor]: Taking taylor expansion of -1 in y 1.415 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 1.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.416 * [taylor]: Taking taylor expansion of 2.0 in x 1.416 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 1.416 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.416 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 1.417 * [taylor]: Taking taylor expansion of 0.0625 in x 1.417 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.417 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.417 * [taylor]: Taking taylor expansion of -1 in x 1.417 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 1.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.417 * [taylor]: Taking taylor expansion of 2.0 in x 1.417 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 1.418 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.418 * [taylor]: Taking taylor expansion of -1 in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 1.418 * [taylor]: Taking taylor expansion of 0.0625 in x 1.418 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.418 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.418 * [taylor]: Taking taylor expansion of -1 in x 1.418 * [taylor]: Taking taylor expansion of y in x 1.419 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 1.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.419 * [taylor]: Taking taylor expansion of 2.0 in y 1.419 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 1.419 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.419 * [taylor]: Taking taylor expansion of -1 in y 1.419 * [taylor]: Taking taylor expansion of x in y 1.420 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 1.420 * [taylor]: Taking taylor expansion of 0.0625 in y 1.420 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.420 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.420 * [taylor]: Taking taylor expansion of -1 in y 1.420 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of 0 in y 1.430 * [taylor]: Taking taylor expansion of 0 in y 1.439 * [taylor]: Taking taylor expansion of 0 in y 1.439 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.440 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) in (x) around 0 1.441 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) in x 1.441 * [taylor]: Taking taylor expansion of 0.5 in x 1.441 * [taylor]: Taking taylor expansion of (* (- (sqrt 5.0) 1.0) (cos x)) in x 1.441 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 1.441 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 1.441 * [taylor]: Taking taylor expansion of 5.0 in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (cos x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) in x 1.441 * [taylor]: Taking taylor expansion of 0.5 in x 1.441 * [taylor]: Taking taylor expansion of (* (- (sqrt 5.0) 1.0) (cos x)) in x 1.441 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 1.441 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 1.441 * [taylor]: Taking taylor expansion of 5.0 in x 1.442 * [taylor]: Taking taylor expansion of 1.0 in x 1.442 * [taylor]: Taking taylor expansion of (cos x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.472 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0))) in (x) around 0 1.472 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0))) in x 1.472 * [taylor]: Taking taylor expansion of 0.5 in x 1.472 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0)) in x 1.472 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 1.473 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 1.473 * [taylor]: Taking taylor expansion of 5.0 in x 1.473 * [taylor]: Taking taylor expansion of 1.0 in x 1.473 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0))) in x 1.473 * [taylor]: Taking taylor expansion of 0.5 in x 1.473 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (- (sqrt 5.0) 1.0)) in x 1.473 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 1.474 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 1.474 * [taylor]: Taking taylor expansion of 5.0 in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.502 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0))) in (x) around 0 1.502 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0))) in x 1.502 * [taylor]: Taking taylor expansion of 0.5 in x 1.502 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0)) in x 1.502 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.502 * [taylor]: Taking taylor expansion of -1 in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 1.502 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 1.502 * [taylor]: Taking taylor expansion of 5.0 in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.503 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0))) in x 1.503 * [taylor]: Taking taylor expansion of 0.5 in x 1.503 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (- (sqrt 5.0) 1.0)) in x 1.503 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.503 * [taylor]: Taking taylor expansion of -1 in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (- (sqrt 5.0) 1.0) in x 1.504 * [taylor]: Taking taylor expansion of (sqrt 5.0) in x 1.504 * [taylor]: Taking taylor expansion of 5.0 in x 1.504 * [taylor]: Taking taylor expansion of 1.0 in x 1.526 * * * [progress]: simplifying candidates 1.528 * [simplify]: Simplifying using # : (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (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)) (/ (exp 3.0) (exp (sqrt 5.0))) (log (- 3.0 (sqrt 5.0))) (exp (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (* (* (- 3.0 (sqrt 5.0)) (- 3.0 (sqrt 5.0))) (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (- (pow 3.0 3) (pow (sqrt 5.0) 3)) (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0)))) (- (sqrt 5.0)) (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))) (+ 3.0 (sqrt 5.0)) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (- 3.0 (sqrt 5.0)) (- (sqrt 5.0)) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (+ (log (sqrt (sqrt 2.0))) (+ (log (sqrt (sqrt 2.0))) (log (- (sin x) (/ (sin y) 16.0))))) (+ (log (sqrt (sqrt 2.0))) (log (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (log (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (- (sin x) (/ (sin y) 16.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin x) (/ (sin y) 16.0))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (* (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sin x))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sin x))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (* (sin x) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (* (- (/ (sin y) 16.0)) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (* (sin x) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (* (- (/ (sin y) 16.0)) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sin x)) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt 2.0)) (- (/ (sin y) 16.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt 2.0)) (sin x)) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt 2.0)) (- (/ (sin y) 16.0))) (sqrt (sqrt 2.0))) (* (* (sin x) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (- (/ (sin y) 16.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sin x) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (- (/ (sin y) 16.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (+ (- (log (- (sqrt 5.0) 1.0)) (log 2.0)) (log (cos x))) (+ (log (/ (- (sqrt 5.0) 1.0) 2.0)) (log (cos x))) (log (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (* (* (- (sqrt 5.0) 1.0) (- (sqrt 5.0) 1.0)) (- (sqrt 5.0) 1.0)) (* (* 2.0 2.0) 2.0)) (* (* (cos x) (cos x)) (cos x))) (* (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (/ (- (sqrt 5.0) 1.0) 2.0)) (/ (- (sqrt 5.0) 1.0) 2.0)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (* (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (* (cbrt (cos x)) (cbrt (cos x)))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (sqrt (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) 1) (* (cbrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ 1 2.0) (cos x)) (* (- (sqrt 5.0) 1.0) (cos x)) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (* (sqrt 2.0) x) (+ (* 1/6 (* (sqrt 2.0) (pow x 3))) (* 0.0625 (* (sqrt 2.0) y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (- (+ (* 0.5 (sqrt 5.0)) (+ (* 0.25 (pow x 2)) (* 0.020833333333333332 (* (sqrt 5.0) (pow x 4))))) (+ (* 0.020833333333333332 (pow x 4)) (+ (* 0.25 (* (sqrt 5.0) (pow x 2))) 0.5))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) 1.535 * * [simplify]: iteration 0 : 573 enodes (cost 879 ) 1.543 * * [simplify]: iteration 1 : 1828 enodes (cost 780 ) 1.569 * * [simplify]: iteration 2 : 5001 enodes (cost 777 ) 1.573 * [simplify]: Simplified to: (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos y) (+ (cos y) (cos x))) (* (cos x) (cos x))) (- (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)) (exp (- 3.0 (sqrt 5.0))) (log (- 3.0 (sqrt 5.0))) (exp (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (pow (- 3.0 (sqrt 5.0)) 3) (sqrt (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (- (pow 3.0 3) (pow (sqrt 5.0) 3)) (+ (* 3.0 (+ 3.0 (sqrt 5.0))) 5.0) (- (sqrt 5.0)) (+ (* 3.0 3.0) (- 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)) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (log (sqrt 2.0)) (log (- (sin x) (/ (sin y) 16.0)))) (+ (log (sqrt 2.0)) (log (- (sin x) (/ (sin y) 16.0)))) (+ (log (sqrt 2.0)) (log (- (sin x) (/ (sin y) 16.0)))) (pow (exp (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (sqrt 2.0) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (log (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (log (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (log (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3) (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3) (* (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)))) (cbrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (pow (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) 3) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (sqrt (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (sqrt (cos x))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (* (cbrt (cos x)) (cbrt (cos x)))) (* (/ (- (sqrt 5.0) 1.0) 2.0) (sqrt (cos x))) (/ (- (sqrt 5.0) 1.0) 2.0) (* (cbrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (cbrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (cbrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) (sqrt 2.0)) (cos x)) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (cbrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x)) (* (/ 1 2.0) (cos x)) (* (- (sqrt 5.0) 1.0) (cos x)) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (- (* (sqrt 2.0) x) (+ (* 1/6 (* (sqrt 2.0) (pow x 3))) (* 0.0625 (* (sqrt 2.0) y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (+ (* (sqrt 5.0) (+ 0.5 (* 0.020833333333333332 (pow x 4)))) (- (* 0.25 (pow x 2)) (+ (* 0.020833333333333332 (pow x 4)) (+ (* 0.25 (* (sqrt 5.0) (pow x 2))) 0.5)))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) (* 0.5 (* (- (sqrt 5.0) 1.0) (cos x))) 1.574 * * * [progress]: adding candidates to table 2.087 * * [progress]: iteration 3 / 4 2.087 * * * [progress]: picking best candidate 2.155 * * * * [pick]: Picked # 2.155 * * * [progress]: localizing error 2.193 * * * [progress]: generating rewritten candidates 2.193 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 2.197 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 2.201 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 2.205 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 2.219 * * * [progress]: generating series expansions 2.219 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 2.219 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 2.219 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 2.219 * [taylor]: Taking taylor expansion of (cos x) in y 2.219 * [taylor]: Taking taylor expansion of x in y 2.219 * [taylor]: Taking taylor expansion of (cos y) in y 2.219 * [taylor]: Taking taylor expansion of y in y 2.219 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 2.219 * [taylor]: Taking taylor expansion of (cos x) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.219 * [taylor]: Taking taylor expansion of (cos y) in x 2.219 * [taylor]: Taking taylor expansion of y in x 2.219 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 2.219 * [taylor]: Taking taylor expansion of (cos x) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.219 * [taylor]: Taking taylor expansion of (cos y) in x 2.219 * [taylor]: Taking taylor expansion of y in x 2.220 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 2.220 * [taylor]: Taking taylor expansion of 1 in y 2.220 * [taylor]: Taking taylor expansion of (cos y) in y 2.220 * [taylor]: Taking taylor expansion of y in y 2.223 * [taylor]: Taking taylor expansion of 0 in y 2.227 * [taylor]: Taking taylor expansion of -1/2 in y 2.231 * [taylor]: Taking taylor expansion of 0 in y 2.237 * [taylor]: Taking taylor expansion of 1/24 in y 2.238 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 2.238 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 2.238 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 2.238 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.238 * [taylor]: Taking taylor expansion of x in y 2.238 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.238 * [taylor]: Taking taylor expansion of y in y 2.238 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 2.238 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 2.239 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.239 * [taylor]: Taking taylor expansion of y in x 2.239 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 2.239 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 2.239 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.239 * [taylor]: Taking taylor expansion of y in x 2.240 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 2.240 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 2.240 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.240 * [taylor]: Taking taylor expansion of x in y 2.240 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.240 * [taylor]: Taking taylor expansion of y in y 2.249 * [taylor]: Taking taylor expansion of 0 in y 2.254 * [taylor]: Taking taylor expansion of 0 in y 2.260 * [taylor]: Taking taylor expansion of 0 in y 2.260 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 2.260 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 2.260 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 2.260 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.260 * [taylor]: Taking taylor expansion of -1 in y 2.260 * [taylor]: Taking taylor expansion of x in y 2.260 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.260 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.260 * [taylor]: Taking taylor expansion of -1 in y 2.260 * [taylor]: Taking taylor expansion of y in y 2.260 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 2.260 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.260 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.260 * [taylor]: Taking taylor expansion of -1 in x 2.260 * [taylor]: Taking taylor expansion of x in x 2.261 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 2.261 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.261 * [taylor]: Taking taylor expansion of -1 in x 2.261 * [taylor]: Taking taylor expansion of y in x 2.261 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 2.261 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.261 * [taylor]: Taking taylor expansion of -1 in x 2.261 * [taylor]: Taking taylor expansion of x in x 2.261 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 2.261 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.261 * [taylor]: Taking taylor expansion of -1 in x 2.261 * [taylor]: Taking taylor expansion of y in x 2.262 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 2.262 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 2.262 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.262 * [taylor]: Taking taylor expansion of -1 in y 2.262 * [taylor]: Taking taylor expansion of x in y 2.262 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.262 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.262 * [taylor]: Taking taylor expansion of -1 in y 2.262 * [taylor]: Taking taylor expansion of y in y 2.265 * [taylor]: Taking taylor expansion of 0 in y 2.270 * [taylor]: Taking taylor expansion of 0 in y 2.276 * [taylor]: Taking taylor expansion of 0 in y 2.276 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 2.276 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 2.276 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 2.276 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 2.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 2.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 2.276 * [taylor]: Taking taylor expansion of 2.0 in y 2.277 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in y 2.277 * [taylor]: Taking taylor expansion of (sin x) in y 2.277 * [taylor]: Taking taylor expansion of x in y 2.277 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in y 2.277 * [taylor]: Taking taylor expansion of 0.0625 in y 2.277 * [taylor]: Taking taylor expansion of (sin y) in y 2.277 * [taylor]: Taking taylor expansion of y in y 2.277 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 2.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.277 * [taylor]: Taking taylor expansion of 2.0 in x 2.278 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 2.278 * [taylor]: Taking taylor expansion of (sin x) in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 2.278 * [taylor]: Taking taylor expansion of 0.0625 in x 2.278 * [taylor]: Taking taylor expansion of (sin y) in x 2.278 * [taylor]: Taking taylor expansion of y in x 2.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 2.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.278 * [taylor]: Taking taylor expansion of 2.0 in x 2.279 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 2.279 * [taylor]: Taking taylor expansion of (sin x) in x 2.279 * [taylor]: Taking taylor expansion of x in x 2.279 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 2.279 * [taylor]: Taking taylor expansion of 0.0625 in x 2.279 * [taylor]: Taking taylor expansion of (sin y) in x 2.279 * [taylor]: Taking taylor expansion of y in x 2.280 * [taylor]: Taking taylor expansion of (* -0.0625 (* (sqrt 2.0) (sin y))) in y 2.280 * [taylor]: Taking taylor expansion of -0.0625 in y 2.280 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sin y)) in y 2.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 2.280 * [taylor]: Taking taylor expansion of 2.0 in y 2.280 * [taylor]: Taking taylor expansion of (sin y) in y 2.280 * [taylor]: Taking taylor expansion of y in y 2.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 2.284 * [taylor]: Taking taylor expansion of 2.0 in y 2.293 * [taylor]: Taking taylor expansion of 0 in y 2.301 * [taylor]: Taking taylor expansion of (- (* 1/6 (sqrt 2.0))) in y 2.301 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt 2.0)) in y 2.301 * [taylor]: Taking taylor expansion of 1/6 in y 2.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 2.301 * [taylor]: Taking taylor expansion of 2.0 in y 2.307 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 2.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 2.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 2.307 * [taylor]: Taking taylor expansion of 2.0 in y 2.307 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 2.308 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 2.308 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.308 * [taylor]: Taking taylor expansion of x in y 2.308 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 2.308 * [taylor]: Taking taylor expansion of 0.0625 in y 2.308 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.308 * [taylor]: Taking taylor expansion of y in y 2.308 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 2.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.308 * [taylor]: Taking taylor expansion of 2.0 in x 2.309 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 2.309 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 2.309 * [taylor]: Taking taylor expansion of 0.0625 in x 2.309 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 2.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.309 * [taylor]: Taking taylor expansion of y in x 2.309 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 2.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.309 * [taylor]: Taking taylor expansion of 2.0 in x 2.310 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 2.310 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.310 * [taylor]: Taking taylor expansion of x in x 2.310 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 2.310 * [taylor]: Taking taylor expansion of 0.0625 in x 2.310 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 2.310 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.310 * [taylor]: Taking taylor expansion of y in x 2.311 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 2.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 2.311 * [taylor]: Taking taylor expansion of 2.0 in y 2.312 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 2.312 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 2.312 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.312 * [taylor]: Taking taylor expansion of x in y 2.312 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 2.312 * [taylor]: Taking taylor expansion of 0.0625 in y 2.312 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 2.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.312 * [taylor]: Taking taylor expansion of y in y 2.316 * [taylor]: Taking taylor expansion of 0 in y 2.323 * [taylor]: Taking taylor expansion of 0 in y 2.337 * [taylor]: Taking taylor expansion of 0 in y 2.338 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 2.338 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 2.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 2.338 * [taylor]: Taking taylor expansion of 2.0 in y 2.339 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 2.339 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 2.339 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.339 * [taylor]: Taking taylor expansion of -1 in y 2.339 * [taylor]: Taking taylor expansion of x in y 2.339 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 2.339 * [taylor]: Taking taylor expansion of 0.0625 in y 2.339 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.339 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.339 * [taylor]: Taking taylor expansion of -1 in y 2.339 * [taylor]: Taking taylor expansion of y in y 2.339 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 2.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.339 * [taylor]: Taking taylor expansion of 2.0 in x 2.340 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 2.340 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.340 * [taylor]: Taking taylor expansion of -1 in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 2.340 * [taylor]: Taking taylor expansion of 0.0625 in x 2.341 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 2.341 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.341 * [taylor]: Taking taylor expansion of -1 in x 2.341 * [taylor]: Taking taylor expansion of y in x 2.341 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 2.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.341 * [taylor]: Taking taylor expansion of 2.0 in x 2.341 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 2.341 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.341 * [taylor]: Taking taylor expansion of -1 in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.342 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 2.342 * [taylor]: Taking taylor expansion of 0.0625 in x 2.342 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 2.342 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.342 * [taylor]: Taking taylor expansion of -1 in x 2.342 * [taylor]: Taking taylor expansion of y in x 2.343 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 2.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 2.343 * [taylor]: Taking taylor expansion of 2.0 in y 2.343 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 2.343 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 2.343 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.343 * [taylor]: Taking taylor expansion of -1 in y 2.343 * [taylor]: Taking taylor expansion of x in y 2.343 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 2.343 * [taylor]: Taking taylor expansion of 0.0625 in y 2.344 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 2.344 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.344 * [taylor]: Taking taylor expansion of -1 in y 2.344 * [taylor]: Taking taylor expansion of y in y 2.347 * [taylor]: Taking taylor expansion of 0 in y 2.354 * [taylor]: Taking taylor expansion of 0 in y 2.363 * [taylor]: Taking taylor expansion of 0 in y 2.364 * * * [progress]: simplifying candidates 2.365 * [simplify]: Simplifying using # : (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (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)) (/ (exp 3.0) (exp (sqrt 5.0))) (log (- 3.0 (sqrt 5.0))) (exp (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (* (* (- 3.0 (sqrt 5.0)) (- 3.0 (sqrt 5.0))) (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (- (pow 3.0 3) (pow (sqrt 5.0) 3)) (+ (* 3.0 3.0) (+ (* (sqrt 5.0) (sqrt 5.0)) (* 3.0 (sqrt 5.0)))) (- (sqrt 5.0)) (- (* 3.0 3.0) (* (sqrt 5.0) (sqrt 5.0))) (+ 3.0 (sqrt 5.0)) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (+ (sqrt 3.0) (sqrt (sqrt 5.0))) (- (sqrt 3.0) (sqrt (sqrt 5.0))) (- 3.0 (sqrt 5.0)) (- (sqrt 5.0)) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt 2.0))) (- 0 (log (sqrt 2.0))) (- (log 1) (log (sqrt 2.0))) (log (/ 1 (sqrt 2.0))) (exp (/ 1 (sqrt 2.0))) (/ (* (* 1 1) 1) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))) (cbrt (/ 1 (sqrt 2.0))) (* (* (/ 1 (sqrt 2.0)) (/ 1 (sqrt 2.0))) (/ 1 (sqrt 2.0))) (sqrt (/ 1 (sqrt 2.0))) (sqrt (/ 1 (sqrt 2.0))) (- 1) (- (sqrt 2.0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt 1) (cbrt (sqrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt 1) (sqrt (cbrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))) (/ (cbrt 1) (sqrt (sqrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt 2.0)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))) (/ (cbrt 1) (sqrt (sqrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt 2.0)) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (cbrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt 1) (sqrt (cbrt 2.0))) (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt 2.0)) (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ 1 (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ 1 (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ 1 1) (/ 1 (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) 1) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))) (/ 1 1) (/ (sqrt 2.0) (cbrt 1)) (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt 2.0) 1) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (log (sqrt 2.0)) (log (- (sin x) (/ (sin y) 16.0)))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (- (sin x) (/ (sin y) 16.0)) (- (sin x) (/ (sin y) 16.0))) (- (sin x) (/ (sin y) 16.0)))) (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sin x) (sqrt 2.0)) (* (- (/ (sin y) 16.0)) (sqrt 2.0)) (* (sin x) (sqrt 2.0)) (* (- (/ (sin y) 16.0)) (sqrt 2.0)) (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) 1) (* (sqrt 2.0) (+ (sqrt (sin x)) (sqrt (/ (sin y) 16.0)))) (* (sqrt 2.0) (+ (sqrt (sin x)) (/ (sqrt (sin y)) (sqrt 16.0)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (- (* (sqrt 2.0) x) (+ (* 1/6 (* (sqrt 2.0) (pow x 3))) (* 0.0625 (* (sqrt 2.0) y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) 2.371 * * [simplify]: iteration 0 : 422 enodes (cost 682 ) 2.378 * * [simplify]: iteration 1 : 1516 enodes (cost 623 ) 2.403 * * [simplify]: iteration 2 : 5001 enodes (cost 597 ) 2.406 * [simplify]: Simplified to: (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos y) (+ (cos y) (cos x))) (* (cos x) (cos x))) (- (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)) (exp (- 3.0 (sqrt 5.0))) (log (- 3.0 (sqrt 5.0))) (exp (- 3.0 (sqrt 5.0))) (* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0)))) (cbrt (- 3.0 (sqrt 5.0))) (pow (- 3.0 (sqrt 5.0)) 3) (sqrt (- 3.0 (sqrt 5.0))) (sqrt (- 3.0 (sqrt 5.0))) (- (pow 3.0 3) (pow (sqrt 5.0) 3)) (+ (* 3.0 (+ 3.0 (sqrt 5.0))) 5.0) (- (sqrt 5.0)) (+ (* 3.0 3.0) (- 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)) (- 1/2) (- 1) (- 1/2) (log (/ 1 (sqrt 2.0))) (log (/ 1 (sqrt 2.0))) (log (/ 1 (sqrt 2.0))) (log (/ 1 (sqrt 2.0))) (exp (/ 1 (sqrt 2.0))) (/ (/ 1 2.0) (sqrt 2.0)) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))) (cbrt (/ 1 (sqrt 2.0))) (/ (/ 1 2.0) (sqrt 2.0)) (sqrt (/ 1 (sqrt 2.0))) (sqrt (/ 1 (sqrt 2.0))) (- 1) (- (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (cbrt (sqrt 2.0))) (/ 1 (/ (fabs (cbrt 2.0)) 1)) (/ 1 (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) 1 (/ 1 (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) 1 (/ 1 (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (cbrt (sqrt 2.0))) (/ 1 (/ (fabs (cbrt 2.0)) 1)) (/ 1 (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) 1 (/ 1 (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) 1 (/ 1 (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (cbrt (sqrt 2.0))) (/ 1 (/ (fabs (cbrt 2.0)) 1)) (/ 1 (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) 1 (/ 1 (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) 1 (/ 1 (sqrt 2.0)) (/ 1 (sqrt 2.0)) (sqrt 2.0) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (/ (fabs (cbrt 2.0)) 1)) (/ 1 (sqrt (sqrt 2.0))) 1 (/ 1 (sqrt (sqrt 2.0))) 1 (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (log (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (* (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (sqrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt (sqrt 2.0)) (sqrt (- (sin x) (/ (sin y) 16.0)))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0))) (* (sqrt 2.0) (* (cbrt (- (sin x) (/ (sin y) 16.0))) (cbrt (- (sin x) (/ (sin y) 16.0))))) (* (sqrt 2.0) (sqrt (- (sin x) (/ (sin y) 16.0)))) (sqrt 2.0) (* (sqrt 2.0) (+ (sqrt (sin x)) (sqrt (/ (sin y) 16.0)))) (* (sqrt 2.0) (+ (sqrt (sin x)) (/ (sqrt (sin y)) (sqrt 16.0)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)) (- (* (sqrt 2.0) x) (+ (* 1/6 (* (sqrt 2.0) (pow x 3))) (* 0.0625 (* (sqrt 2.0) y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) 2.407 * * * [progress]: adding candidates to table 2.849 * * [progress]: iteration 4 / 4 2.849 * * * [progress]: picking best candidate 2.919 * * * * [pick]: Picked # 2.919 * * * [progress]: localizing error 2.955 * * * [progress]: generating rewritten candidates 2.956 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 2.960 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2 1 1) 2.961 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1 2) 2.962 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 2.965 * * * [progress]: generating series expansions 2.965 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 2.965 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 2.965 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 2.965 * [taylor]: Taking taylor expansion of (cos x) in y 2.965 * [taylor]: Taking taylor expansion of x in y 2.965 * [taylor]: Taking taylor expansion of (cos y) in y 2.965 * [taylor]: Taking taylor expansion of y in y 2.965 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 2.965 * [taylor]: Taking taylor expansion of (cos x) in x 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [taylor]: Taking taylor expansion of (cos y) in x 2.965 * [taylor]: Taking taylor expansion of y in x 2.965 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 2.965 * [taylor]: Taking taylor expansion of (cos x) in x 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [taylor]: Taking taylor expansion of (cos y) in x 2.965 * [taylor]: Taking taylor expansion of y in x 2.966 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 2.966 * [taylor]: Taking taylor expansion of 1 in y 2.966 * [taylor]: Taking taylor expansion of (cos y) in y 2.966 * [taylor]: Taking taylor expansion of y in y 2.969 * [taylor]: Taking taylor expansion of 0 in y 2.973 * [taylor]: Taking taylor expansion of -1/2 in y 2.978 * [taylor]: Taking taylor expansion of 0 in y 2.988 * [taylor]: Taking taylor expansion of 1/24 in y 2.988 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 2.988 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 2.989 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 2.989 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.989 * [taylor]: Taking taylor expansion of x in y 2.989 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.989 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.989 * [taylor]: Taking taylor expansion of y in y 2.989 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 2.989 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.989 * [taylor]: Taking taylor expansion of x in x 2.989 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 2.989 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.989 * [taylor]: Taking taylor expansion of y in x 2.989 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 2.989 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.989 * [taylor]: Taking taylor expansion of x in x 2.990 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 2.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.990 * [taylor]: Taking taylor expansion of y in x 2.990 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 2.990 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 2.990 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.990 * [taylor]: Taking taylor expansion of x in y 2.991 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.991 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.991 * [taylor]: Taking taylor expansion of y in y 2.994 * [taylor]: Taking taylor expansion of 0 in y 2.998 * [taylor]: Taking taylor expansion of 0 in y 3.004 * [taylor]: Taking taylor expansion of 0 in y 3.004 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 3.004 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.005 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 3.005 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.005 * [taylor]: Taking taylor expansion of -1 in y 3.005 * [taylor]: Taking taylor expansion of x in y 3.005 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 3.005 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.005 * [taylor]: Taking taylor expansion of -1 in y 3.005 * [taylor]: Taking taylor expansion of y in y 3.005 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 3.005 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.005 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.005 * [taylor]: Taking taylor expansion of -1 in x 3.005 * [taylor]: Taking taylor expansion of x in x 3.005 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 3.005 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.005 * [taylor]: Taking taylor expansion of -1 in x 3.005 * [taylor]: Taking taylor expansion of y in x 3.006 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 3.006 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.006 * [taylor]: Taking taylor expansion of -1 in x 3.006 * [taylor]: Taking taylor expansion of x in x 3.006 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 3.006 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.006 * [taylor]: Taking taylor expansion of -1 in x 3.006 * [taylor]: Taking taylor expansion of y in x 3.007 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.007 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 3.007 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.007 * [taylor]: Taking taylor expansion of -1 in y 3.007 * [taylor]: Taking taylor expansion of x in y 3.007 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 3.007 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.007 * [taylor]: Taking taylor expansion of -1 in y 3.007 * [taylor]: Taking taylor expansion of y in y 3.010 * [taylor]: Taking taylor expansion of 0 in y 3.015 * [taylor]: Taking taylor expansion of 0 in y 3.021 * [taylor]: Taking taylor expansion of 0 in y 3.021 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2 1 1) 3.021 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1 2) 3.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1) 3.021 * * * [progress]: simplifying candidates 3.022 * [simplify]: Simplifying using # : (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (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)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) (* (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0)) (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) (* (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0)) (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) (* (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0)) (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) 3.025 * * [simplify]: iteration 0 : 127 enodes (cost 223 ) 3.028 * * [simplify]: iteration 1 : 283 enodes (cost 207 ) 3.032 * * [simplify]: iteration 2 : 768 enodes (cost 200 ) 3.051 * * [simplify]: iteration 3 : 3477 enodes (cost 200 ) 3.152 * * [simplify]: iteration 4 : 5001 enodes (cost 197 ) 3.153 * [simplify]: Simplified to: (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos y) (+ (cos y) (cos x))) (* (cos x) (cos x))) (- (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)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) 1 (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) 2.0 (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) 1 (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) 2.0 (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) 1 (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) 2.0 (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (+ (* 1/2 (- (pow y 2) (pow x 2))) (* 1/24 (pow x 4))) (- (cos x) (cos y)) (- (cos x) (cos y)) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt (cbrt 2.0)) (- (sin x) (/ (sin y) 16.0))) 3.154 * * * [progress]: adding candidates to table 3.463 * [progress]: [Phase 3 of 3] Extracting. 3.463 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 3.478 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.478 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # #) 3.573 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 3.662 * * * [regime]: Found split indices: #