18.296 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.186 * * * [progress]: [2/2] Setting up program. 0.192 * [progress]: [Phase 2 of 3] Improving. 0.192 * [simplify]: Simplifying using # : (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))) 0.194 * * [simplify]: iteration 0 : 32 enodes (cost 50 ) 0.198 * * [simplify]: iteration 1 : 74 enodes (cost 50 ) 0.209 * * [simplify]: iteration 2 : 187 enodes (cost 47 ) 0.244 * * [simplify]: iteration 3 : 587 enodes (cost 47 ) 0.388 * * [simplify]: iteration 4 : 1935 enodes (cost 47 ) 0.986 * * [simplify]: iteration done : 5000 enodes (cost 47 ) 0.986 * [simplify]: Simplified to: (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) 0.993 * * [progress]: iteration 1 / 4 0.993 * * * [progress]: picking best candidate 1.004 * * * * [pick]: Picked # 1.004 * * * [progress]: localizing error 1.036 * * * [progress]: generating rewritten candidates 1.036 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.041 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.045 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 1.086 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.169 * * * [progress]: generating series expansions 1.169 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.169 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 1.169 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 1.169 * [taylor]: Taking taylor expansion of (cos x) in y 1.169 * [taylor]: Taking taylor expansion of x in y 1.169 * [taylor]: Taking taylor expansion of (cos y) in y 1.169 * [taylor]: Taking taylor expansion of y in y 1.169 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 1.169 * [taylor]: Taking taylor expansion of (cos x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (cos y) in x 1.169 * [taylor]: Taking taylor expansion of y in x 1.169 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 1.169 * [taylor]: Taking taylor expansion of (cos x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (cos y) in x 1.169 * [taylor]: Taking taylor expansion of y in x 1.170 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 1.170 * [taylor]: Taking taylor expansion of 1 in y 1.170 * [taylor]: Taking taylor expansion of (cos y) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of 0 in y 1.177 * [taylor]: Taking taylor expansion of -1/2 in y 1.182 * [taylor]: Taking taylor expansion of 0 in y 1.188 * [taylor]: Taking taylor expansion of 1/24 in y 1.189 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 1.189 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.189 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.189 * [taylor]: Taking taylor expansion of x in y 1.189 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.190 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 1.190 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 1.190 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.191 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 1.191 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 1.191 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.191 * [taylor]: Taking taylor expansion of x in y 1.192 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.192 * [taylor]: Taking taylor expansion of y in y 1.195 * [taylor]: Taking taylor expansion of 0 in y 1.199 * [taylor]: Taking taylor expansion of 0 in y 1.205 * [taylor]: Taking taylor expansion of 0 in y 1.206 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 1.206 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.206 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 1.206 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.206 * [taylor]: Taking taylor expansion of -1 in y 1.206 * [taylor]: Taking taylor expansion of x in y 1.211 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.212 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.212 * [taylor]: Taking taylor expansion of -1 in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 1.212 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.212 * [taylor]: Taking taylor expansion of -1 in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.213 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of y in x 1.213 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.213 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of y in x 1.214 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 1.214 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 1.214 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.214 * [taylor]: Taking taylor expansion of -1 in y 1.214 * [taylor]: Taking taylor expansion of x in y 1.214 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.214 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.214 * [taylor]: Taking taylor expansion of -1 in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.217 * [taylor]: Taking taylor expansion of 0 in y 1.222 * [taylor]: Taking taylor expansion of 0 in y 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.228 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.228 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.229 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in (x y) around 0 1.229 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 1.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.229 * [taylor]: Taking taylor expansion of 2.0 in y 1.229 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in y 1.229 * [taylor]: Taking taylor expansion of (sin x) in y 1.229 * [taylor]: Taking taylor expansion of x in y 1.229 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in y 1.229 * [taylor]: Taking taylor expansion of 0.0625 in y 1.229 * [taylor]: Taking taylor expansion of (sin y) in y 1.229 * [taylor]: Taking taylor expansion of y in y 1.229 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 1.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.229 * [taylor]: Taking taylor expansion of 2.0 in x 1.230 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 1.230 * [taylor]: Taking taylor expansion of (sin x) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 1.230 * [taylor]: Taking taylor expansion of 0.0625 in x 1.230 * [taylor]: Taking taylor expansion of (sin y) in x 1.230 * [taylor]: Taking taylor expansion of y in x 1.230 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 1.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.230 * [taylor]: Taking taylor expansion of 2.0 in x 1.231 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 1.231 * [taylor]: Taking taylor expansion of (sin x) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 1.231 * [taylor]: Taking taylor expansion of 0.0625 in x 1.231 * [taylor]: Taking taylor expansion of (sin y) in x 1.231 * [taylor]: Taking taylor expansion of y in x 1.232 * [taylor]: Taking taylor expansion of (* -0.0625 (* (sqrt 2.0) (sin y))) in y 1.232 * [taylor]: Taking taylor expansion of -0.0625 in y 1.232 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sin y)) in y 1.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.232 * [taylor]: Taking taylor expansion of 2.0 in y 1.233 * [taylor]: Taking taylor expansion of (sin y) in y 1.233 * [taylor]: Taking taylor expansion of y in y 1.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.236 * [taylor]: Taking taylor expansion of 2.0 in y 1.246 * [taylor]: Taking taylor expansion of 0 in y 1.254 * [taylor]: Taking taylor expansion of (- (* 1/6 (sqrt 2.0))) in y 1.254 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt 2.0)) in y 1.254 * [taylor]: Taking taylor expansion of 1/6 in y 1.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.254 * [taylor]: Taking taylor expansion of 2.0 in y 1.260 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in (x y) around 0 1.260 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 1.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.260 * [taylor]: Taking taylor expansion of 2.0 in y 1.261 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 1.261 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.261 * [taylor]: Taking taylor expansion of x in y 1.261 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 1.261 * [taylor]: Taking taylor expansion of 0.0625 in y 1.261 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 1.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.262 * [taylor]: Taking taylor expansion of 2.0 in x 1.262 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 1.262 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 1.263 * [taylor]: Taking taylor expansion of 0.0625 in x 1.263 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.263 * [taylor]: Taking taylor expansion of y in x 1.263 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 1.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.263 * [taylor]: Taking taylor expansion of 2.0 in x 1.263 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 1.263 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 1.264 * [taylor]: Taking taylor expansion of 0.0625 in x 1.264 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.264 * [taylor]: Taking taylor expansion of y in x 1.265 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 1.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.265 * [taylor]: Taking taylor expansion of 2.0 in y 1.265 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 1.265 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.266 * [taylor]: Taking taylor expansion of x in y 1.266 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 1.266 * [taylor]: Taking taylor expansion of 0.0625 in y 1.266 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.266 * [taylor]: Taking taylor expansion of y in y 1.270 * [taylor]: Taking taylor expansion of 0 in y 1.277 * [taylor]: Taking taylor expansion of 0 in y 1.286 * [taylor]: Taking taylor expansion of 0 in y 1.287 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in (x y) around 0 1.287 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 1.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.287 * [taylor]: Taking taylor expansion of 2.0 in y 1.288 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 1.288 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.288 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.288 * [taylor]: Taking taylor expansion of -1 in y 1.288 * [taylor]: Taking taylor expansion of x in y 1.288 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 1.288 * [taylor]: Taking taylor expansion of 0.0625 in y 1.288 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.288 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.288 * [taylor]: Taking taylor expansion of -1 in y 1.288 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 1.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.289 * [taylor]: Taking taylor expansion of 2.0 in x 1.289 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 1.289 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.289 * [taylor]: Taking taylor expansion of -1 in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 1.290 * [taylor]: Taking taylor expansion of 0.0625 in x 1.290 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.290 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.290 * [taylor]: Taking taylor expansion of -1 in x 1.290 * [taylor]: Taking taylor expansion of y in x 1.290 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in x 1.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.290 * [taylor]: Taking taylor expansion of 2.0 in x 1.290 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 1.291 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.291 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.291 * [taylor]: Taking taylor expansion of -1 in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 1.291 * [taylor]: Taking taylor expansion of 0.0625 in x 1.291 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.291 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.291 * [taylor]: Taking taylor expansion of -1 in x 1.291 * [taylor]: Taking taylor expansion of y in x 1.292 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y))))) in y 1.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.292 * [taylor]: Taking taylor expansion of 2.0 in y 1.293 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 1.293 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.293 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.293 * [taylor]: Taking taylor expansion of -1 in y 1.293 * [taylor]: Taking taylor expansion of x in y 1.293 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 1.293 * [taylor]: Taking taylor expansion of 0.0625 in y 1.293 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.293 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.293 * [taylor]: Taking taylor expansion of -1 in y 1.293 * [taylor]: Taking taylor expansion of y in y 1.300 * [taylor]: Taking taylor expansion of 0 in y 1.307 * [taylor]: Taking taylor expansion of 0 in y 1.317 * [taylor]: Taking taylor expansion of 0 in y 1.317 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.318 * [approximate]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in (x y) around 0 1.318 * [taylor]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in y 1.318 * [taylor]: Taking taylor expansion of (- (sin y) (* 0.0625 (sin x))) in y 1.318 * [taylor]: Taking taylor expansion of (sin y) in y 1.318 * [taylor]: Taking taylor expansion of y in y 1.318 * [taylor]: Taking taylor expansion of (* 0.0625 (sin x)) in y 1.318 * [taylor]: Taking taylor expansion of 0.0625 in y 1.318 * [taylor]: Taking taylor expansion of (sin x) in y 1.318 * [taylor]: Taking taylor expansion of x in y 1.318 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in y 1.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.318 * [taylor]: Taking taylor expansion of 2.0 in y 1.319 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in y 1.319 * [taylor]: Taking taylor expansion of (sin x) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.319 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in y 1.319 * [taylor]: Taking taylor expansion of 0.0625 in y 1.319 * [taylor]: Taking taylor expansion of (sin y) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.319 * [taylor]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in x 1.319 * [taylor]: Taking taylor expansion of (- (sin y) (* 0.0625 (sin x))) in x 1.319 * [taylor]: Taking taylor expansion of (sin y) in x 1.319 * [taylor]: Taking taylor expansion of y in x 1.319 * [taylor]: Taking taylor expansion of (* 0.0625 (sin x)) in x 1.319 * [taylor]: Taking taylor expansion of 0.0625 in x 1.319 * [taylor]: Taking taylor expansion of (sin x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 1.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.319 * [taylor]: Taking taylor expansion of 2.0 in x 1.320 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 1.320 * [taylor]: Taking taylor expansion of (sin x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 1.320 * [taylor]: Taking taylor expansion of 0.0625 in x 1.320 * [taylor]: Taking taylor expansion of (sin y) in x 1.320 * [taylor]: Taking taylor expansion of y in x 1.320 * [taylor]: Taking taylor expansion of (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) in x 1.320 * [taylor]: Taking taylor expansion of (- (sin y) (* 0.0625 (sin x))) in x 1.320 * [taylor]: Taking taylor expansion of (sin y) in x 1.320 * [taylor]: Taking taylor expansion of y in x 1.320 * [taylor]: Taking taylor expansion of (* 0.0625 (sin x)) in x 1.320 * [taylor]: Taking taylor expansion of 0.0625 in x 1.320 * [taylor]: Taking taylor expansion of (sin x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) in x 1.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.320 * [taylor]: Taking taylor expansion of 2.0 in x 1.321 * [taylor]: Taking taylor expansion of (- (sin x) (* 0.0625 (sin y))) in x 1.321 * [taylor]: Taking taylor expansion of (sin x) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (* 0.0625 (sin y)) in x 1.321 * [taylor]: Taking taylor expansion of 0.0625 in x 1.321 * [taylor]: Taking taylor expansion of (sin y) in x 1.321 * [taylor]: Taking taylor expansion of y in x 1.322 * [taylor]: Taking taylor expansion of (* -0.0625 (* (sqrt 2.0) (pow (sin y) 2))) in y 1.322 * [taylor]: Taking taylor expansion of -0.0625 in y 1.323 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (sin y) 2)) in y 1.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.323 * [taylor]: Taking taylor expansion of 2.0 in y 1.323 * [taylor]: Taking taylor expansion of (pow (sin y) 2) in y 1.323 * [taylor]: Taking taylor expansion of (sin y) in y 1.323 * [taylor]: Taking taylor expansion of y in y 1.331 * [taylor]: Taking taylor expansion of (* 1.00390625 (* (sqrt 2.0) (sin y))) in y 1.331 * [taylor]: Taking taylor expansion of 1.00390625 in y 1.331 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sin y)) in y 1.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.331 * [taylor]: Taking taylor expansion of 2.0 in y 1.332 * [taylor]: Taking taylor expansion of (sin y) in y 1.332 * [taylor]: Taking taylor expansion of y in y 1.341 * [taylor]: Taking taylor expansion of (- (* 0.0625 (sqrt 2.0))) in y 1.341 * [taylor]: Taking taylor expansion of (* 0.0625 (sqrt 2.0)) in y 1.341 * [taylor]: Taking taylor expansion of 0.0625 in y 1.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.341 * [taylor]: Taking taylor expansion of 2.0 in y 1.353 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))))) in (x y) around 0 1.353 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))))) in y 1.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.353 * [taylor]: Taking taylor expansion of 2.0 in y 1.354 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in y 1.354 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in y 1.354 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.354 * [taylor]: Taking taylor expansion of y in y 1.354 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in y 1.354 * [taylor]: Taking taylor expansion of 0.0625 in y 1.354 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.354 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.354 * [taylor]: Taking taylor expansion of x in y 1.355 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 1.355 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.355 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.355 * [taylor]: Taking taylor expansion of x in y 1.355 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 1.355 * [taylor]: Taking taylor expansion of 0.0625 in y 1.355 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.355 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))))) in x 1.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.355 * [taylor]: Taking taylor expansion of 2.0 in x 1.356 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 1.356 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in x 1.356 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.356 * [taylor]: Taking taylor expansion of y in x 1.356 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in x 1.356 * [taylor]: Taking taylor expansion of 0.0625 in x 1.356 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 1.356 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 1.357 * [taylor]: Taking taylor expansion of 0.0625 in x 1.357 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.357 * [taylor]: Taking taylor expansion of y in x 1.357 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))))) in x 1.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.357 * [taylor]: Taking taylor expansion of 2.0 in x 1.358 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y))))) in x 1.358 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in x 1.358 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.358 * [taylor]: Taking taylor expansion of y in x 1.358 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in x 1.358 * [taylor]: Taking taylor expansion of 0.0625 in x 1.358 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in x 1.358 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in x 1.359 * [taylor]: Taking taylor expansion of 0.0625 in x 1.359 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 1.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.359 * [taylor]: Taking taylor expansion of y in x 1.360 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))))) in y 1.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.360 * [taylor]: Taking taylor expansion of 2.0 in y 1.361 * [taylor]: Taking taylor expansion of (* (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x))))) in y 1.361 * [taylor]: Taking taylor expansion of (- (sin (/ 1 x)) (* 0.0625 (sin (/ 1 y)))) in y 1.361 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.361 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.361 * [taylor]: Taking taylor expansion of x in y 1.361 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 y))) in y 1.361 * [taylor]: Taking taylor expansion of 0.0625 in y 1.361 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.361 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.361 * [taylor]: Taking taylor expansion of y in y 1.362 * [taylor]: Taking taylor expansion of (- (sin (/ 1 y)) (* 0.0625 (sin (/ 1 x)))) in y 1.362 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 1.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.362 * [taylor]: Taking taylor expansion of y in y 1.362 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ 1 x))) in y 1.362 * [taylor]: Taking taylor expansion of 0.0625 in y 1.362 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.362 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.362 * [taylor]: Taking taylor expansion of x in y 1.369 * [taylor]: Taking taylor expansion of 0 in y 1.382 * [taylor]: Taking taylor expansion of 0 in y 1.404 * [taylor]: Taking taylor expansion of 0 in y 1.405 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in (x y) around 0 1.405 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in y 1.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.405 * [taylor]: Taking taylor expansion of 2.0 in y 1.406 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in y 1.406 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 1.406 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.406 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.406 * [taylor]: Taking taylor expansion of -1 in y 1.406 * [taylor]: Taking taylor expansion of x in y 1.406 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 1.406 * [taylor]: Taking taylor expansion of 0.0625 in y 1.406 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.406 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.406 * [taylor]: Taking taylor expansion of -1 in y 1.406 * [taylor]: Taking taylor expansion of y in y 1.407 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in y 1.407 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.407 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.407 * [taylor]: Taking taylor expansion of -1 in y 1.407 * [taylor]: Taking taylor expansion of y in y 1.407 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in y 1.407 * [taylor]: Taking taylor expansion of 0.0625 in y 1.407 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.407 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.407 * [taylor]: Taking taylor expansion of -1 in y 1.407 * [taylor]: Taking taylor expansion of x in y 1.407 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in x 1.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.407 * [taylor]: Taking taylor expansion of 2.0 in x 1.408 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in x 1.408 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 1.408 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.408 * [taylor]: Taking taylor expansion of -1 in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 1.408 * [taylor]: Taking taylor expansion of 0.0625 in x 1.408 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.408 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.408 * [taylor]: Taking taylor expansion of -1 in x 1.408 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in x 1.409 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.409 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.409 * [taylor]: Taking taylor expansion of -1 in x 1.409 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in x 1.409 * [taylor]: Taking taylor expansion of 0.0625 in x 1.409 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.409 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.409 * [taylor]: Taking taylor expansion of -1 in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in x 1.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.409 * [taylor]: Taking taylor expansion of 2.0 in x 1.410 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in x 1.410 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in x 1.410 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.410 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.410 * [taylor]: Taking taylor expansion of -1 in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in x 1.410 * [taylor]: Taking taylor expansion of 0.0625 in x 1.410 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.410 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.410 * [taylor]: Taking taylor expansion of -1 in x 1.410 * [taylor]: Taking taylor expansion of y in x 1.410 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in x 1.411 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 1.411 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.411 * [taylor]: Taking taylor expansion of -1 in x 1.411 * [taylor]: Taking taylor expansion of y in x 1.411 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in x 1.411 * [taylor]: Taking taylor expansion of 0.0625 in x 1.411 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.411 * [taylor]: Taking taylor expansion of -1 in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))))) in y 1.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.412 * [taylor]: Taking taylor expansion of 2.0 in y 1.413 * [taylor]: Taking taylor expansion of (* (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x))))) in y 1.413 * [taylor]: Taking taylor expansion of (- (sin (/ -1 x)) (* 0.0625 (sin (/ -1 y)))) in y 1.413 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.413 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.413 * [taylor]: Taking taylor expansion of -1 in y 1.413 * [taylor]: Taking taylor expansion of x in y 1.413 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 y))) in y 1.413 * [taylor]: Taking taylor expansion of 0.0625 in y 1.413 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.413 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.413 * [taylor]: Taking taylor expansion of -1 in y 1.413 * [taylor]: Taking taylor expansion of y in y 1.414 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (* 0.0625 (sin (/ -1 x)))) in y 1.414 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 1.414 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.414 * [taylor]: Taking taylor expansion of -1 in y 1.414 * [taylor]: Taking taylor expansion of y in y 1.414 * [taylor]: Taking taylor expansion of (* 0.0625 (sin (/ -1 x))) in y 1.414 * [taylor]: Taking taylor expansion of 0.0625 in y 1.414 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.414 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.414 * [taylor]: Taking taylor expansion of -1 in y 1.414 * [taylor]: Taking taylor expansion of x in y 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.435 * [taylor]: Taking taylor expansion of 0 in y 1.453 * [taylor]: Taking taylor expansion of 0 in y 1.453 * * * [progress]: simplifying candidates 1.460 * [simplify]: Simplifying using # : (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma 1 (cos x) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma 1 (cos x) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma 1 (cos x) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)))))) (fma (- (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))) (* (cbrt (sqrt 5.0)) (* (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0))))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0)))))) (fma (- (sqrt (cbrt 5.0))) (sqrt (* (cbrt 5.0) (cbrt 5.0))) (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0))))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0))))) (fma (- (sqrt (sqrt 5.0))) (sqrt (sqrt 5.0)) (* (sqrt (sqrt 5.0)) (sqrt (sqrt 5.0)))) (fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt 5.0) (sqrt 1)))) (fma (- (sqrt 5.0)) (sqrt 1) (* (sqrt 5.0) (sqrt 1))) (fma (* (cbrt 3.0) (cbrt 3.0)) 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16.0)))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sqrt (sin x)) (sqrt 16.0)) (+ (- (/ (sqrt (sin x)) (sqrt 16.0))) (/ (sqrt (sin x)) (sqrt 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)) (- (* (sqrt (sin x)) (/ (sqrt (sin x)) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sqrt (sin x)) 16.0) (+ (- (sqrt (sin x))) (sqrt (sin x))))) (* (fma (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)) (- (* (/ (sin x) (cbrt 16.0)) (/ 1 (* (cbrt 16.0) (cbrt 16.0)))))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (/ 1 (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (sin x) (cbrt 16.0))) (/ (sin x) (cbrt 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)) (- (* (/ (sin x) (sqrt 16.0)) (/ 1 (sqrt 16.0)))))) (* (* (* (/ (sin x) (sqrt 16.0)) (+ (- (/ 1 (sqrt 16.0))) (/ 1 (sqrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (fma (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)) (- (/ (sin x) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (fma (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)) (- (/ (sin x) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (fma (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y)) (- (/ (sin x) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (fma (sqrt (sin y)) (sqrt (sin y)) (- (pow (cbrt (/ (sin x) 16.0)) 3))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (- (pow (cbrt (/ (sin x) 16.0)) 3)) (pow (cbrt (/ (sin x) 16.0)) 3))) (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (fma (sqrt (sin y)) (sqrt (sin y)) (- (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (fma (sqrt (sin y)) (sqrt (sin y)) (- (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (- (sin x) (/ (sin y) 16.0)) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (cbrt (sin x)) (cbrt 16.0))))) (sqrt 2.0)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma (sqrt (sin y)) (sqrt (sin y)) (- (* (/ (cbrt (sin x)) (sqrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 16.0)))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 16.0)) (+ (- (/ (cbrt (sin x)) (sqrt 16.0))) (/ (cbrt (sin x)) (sqrt 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma (sqrt (sin y)) (sqrt (sin y)) (- (/ (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))) 16.0)))) (* (- (sin x) (/ (sin y) 16.0)) (* (* (* (cbrt (sin x)) (cbrt (sin x))) (+ (- (/ (cbrt (sin x)) 16.0)) (/ (cbrt (sin x)) 16.0))) (sqrt 2.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma (sqrt (sin y)) (sqrt (sin y)) (- (* (/ (sqrt (sin x)) (cbrt 16.0)) (/ (sqrt (sin x)) (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (/ (sqrt (sin x)) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (sqrt (sin x)) (cbrt 16.0))) (/ (sqrt (sin x)) (cbrt 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma (sqrt (sin y)) (sqrt (sin y)) (- (* (/ (sqrt (sin x)) (sqrt 16.0)) (/ (sqrt (sin x)) (sqrt 16.0)))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sqrt (sin x)) (sqrt 16.0)) (+ (- (/ (sqrt (sin x)) (sqrt 16.0))) (/ (sqrt (sin x)) (sqrt 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma (sqrt (sin y)) (sqrt (sin y)) (- (* (sqrt (sin x)) (/ (sqrt (sin x)) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sqrt (sin x)) 16.0) (+ (- (sqrt (sin x))) (sqrt (sin x))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma (sqrt (sin y)) (sqrt (sin y)) (- (* (/ (sin x) (cbrt 16.0)) (/ 1 (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (/ 1 (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (sin x) (cbrt 16.0))) (/ (sin x) (cbrt 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (fma (sqrt (sin y)) (sqrt (sin y)) (- (* (/ (sin x) (sqrt 16.0)) (/ 1 (sqrt 16.0))))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (/ (sin x) (sqrt 16.0)) (+ (- (/ 1 (sqrt 16.0))) (/ 1 (sqrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (fma (sqrt (sin y)) (sqrt (sin y)) (- (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (fma (sqrt (sin y)) (sqrt (sin y)) (- (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (fma (sqrt (sin y)) (sqrt (sin y)) (- (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (fma 1 (sin y) (- (pow (cbrt (/ (sin x) 16.0)) 3))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (- (pow (cbrt (/ (sin x) 16.0)) 3)) (pow (cbrt (/ (sin x) 16.0)) 3))) (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (fma 1 (sin y) (- (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (fma 1 (sin y) (- (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (- (sin x) (/ (sin y) 16.0)) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (cbrt (sin x)) (cbrt 16.0))))) (sqrt 2.0)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (cbrt (sin x)) (sqrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 16.0)))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 16.0)) (+ (- (/ (cbrt (sin x)) (sqrt 16.0))) (/ (cbrt (sin x)) (sqrt 16.0))))) (* (fma 1 (sin y) (- (/ (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))) 16.0))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (- (sin x) (/ (sin y) 16.0)) (* (* (* (cbrt (sin x)) (cbrt (sin x))) (+ (- (/ (cbrt (sin x)) 16.0)) (/ (cbrt (sin x)) 16.0))) (sqrt 2.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sqrt (sin x)) (cbrt 16.0)) (/ (sqrt (sin x)) (* (cbrt 16.0) (cbrt 16.0))))))) (* (* (/ (sqrt (sin x)) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (sqrt (sin x)) (cbrt 16.0))) (/ (sqrt (sin x)) (cbrt 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (/ (sqrt (sin x)) (sqrt 16.0)) (/ (sqrt (sin x)) (sqrt 16.0)))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sqrt (sin x)) (sqrt 16.0)) (+ (- (/ (sqrt (sin x)) (sqrt 16.0))) (/ (sqrt (sin x)) (sqrt 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (fma 1 (sin y) (- (* (sqrt (sin x)) (/ (sqrt (sin x)) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sqrt (sin x)) 16.0) (+ (- (sqrt (sin x))) (sqrt (sin x))))) (* (fma 1 (sin y) (- (* (/ (sin x) (cbrt 16.0)) (/ 1 (* (cbrt 16.0) (cbrt 16.0)))))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (/ 1 (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (sin x) (cbrt 16.0))) (/ (sin x) (cbrt 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (fma 1 (sin y) (- (* (/ (sin x) (sqrt 16.0)) (/ 1 (sqrt 16.0))))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (* (/ (sin x) (sqrt 16.0)) (+ (- (/ 1 (sqrt 16.0))) (/ 1 (sqrt 16.0)))) (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))) (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (fma 1 (sin y) (- (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (fma 1 (sin y) (- (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (sqrt 2.0) (* (- (sin x) (/ (sin y) 16.0)) (fma 1 (sin y) (- (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (/ (sin x) 16.0) (+ -1 1))) (* (sin y) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (- (/ (sin x) 16.0)) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (sin y) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (- (/ (sin x) 16.0)) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (cbrt (- (sin y) (/ (sin x) 16.0))) (cbrt (- (sin y) (/ (sin x) 16.0))))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (sqrt (- (sin y) (/ (sin x) 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (sqrt (sin y)) (sqrt (/ (sin x) 16.0)))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (+ (sqrt (sin y)) (/ (sqrt (sin x)) (sqrt 16.0)))) (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin x) (/ (sin y) 16.0)) (- (sin y) (/ (sin x) 16.0))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (pow (sin y) 3) (pow (/ (sin x) 16.0) 3))) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0)))) (* (* (sqrt 2.0) (- (pow (sin x) 3) (pow (/ (sin y) 16.0) 3))) (- (sin y) (/ (sin x) 16.0))) (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (- (fma 1/2 (pow y 2) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (- (* (sqrt 2.0) x) (fma 1/6 (* (sqrt 2.0) (pow x 3)) (* 0.0625 (* (sqrt 2.0) y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y)))) (fma 1.00390625 (* (sqrt 2.0) (* y x)) (- (* (* 0.0625 (sqrt 2.0)) (+ (pow x 2) (pow y 2))))) (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) (* (- (sin y) (* 0.0625 (sin x))) (* (sqrt 2.0) (- (sin x) (* 0.0625 (sin y))))) 2.100 * * * [progress]: adding candidates to table 3.382 * * [progress]: iteration 2 / 4 3.382 * * * [progress]: picking best candidate 3.461 * * * * [pick]: Picked # 3.461 * * * [progress]: localizing error 3.509 * * * [progress]: generating rewritten candidates 3.509 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 3.509 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.513 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2 2 1) 3.513 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2 1 1 1) 3.515 * * * [progress]: generating series expansions 3.515 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 3.515 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.515 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 3.515 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 3.516 * [taylor]: Taking taylor expansion of (cos x) in y 3.516 * [taylor]: Taking taylor expansion of x in y 3.516 * [taylor]: Taking taylor expansion of (cos y) in y 3.516 * [taylor]: Taking taylor expansion of y in y 3.516 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 3.516 * [taylor]: Taking taylor expansion of (cos x) in x 3.516 * [taylor]: Taking taylor expansion of x in x 3.516 * [taylor]: Taking taylor expansion of (cos y) in x 3.516 * [taylor]: Taking taylor expansion of y in x 3.516 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 3.516 * [taylor]: Taking taylor expansion of (cos x) in x 3.516 * [taylor]: Taking taylor expansion of x in x 3.516 * [taylor]: Taking taylor expansion of (cos y) in x 3.516 * [taylor]: Taking taylor expansion of y in x 3.517 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 3.517 * [taylor]: Taking taylor expansion of 1 in y 3.517 * [taylor]: Taking taylor expansion of (cos y) in y 3.517 * [taylor]: Taking taylor expansion of y in y 3.520 * [taylor]: Taking taylor expansion of 0 in y 3.524 * [taylor]: Taking taylor expansion of -1/2 in y 3.529 * [taylor]: Taking taylor expansion of 0 in y 3.535 * [taylor]: Taking taylor expansion of 1/24 in y 3.536 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 3.536 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 3.536 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 3.536 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.536 * [taylor]: Taking taylor expansion of x in y 3.536 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 3.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.536 * [taylor]: Taking taylor expansion of y in y 3.536 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 3.537 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.537 * [taylor]: Taking taylor expansion of x in x 3.537 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 3.537 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.537 * [taylor]: Taking taylor expansion of y in x 3.537 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 3.537 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.537 * [taylor]: Taking taylor expansion of x in x 3.537 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 3.537 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.537 * [taylor]: Taking taylor expansion of y in x 3.538 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 3.538 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.538 * [taylor]: Taking taylor expansion of x in y 3.538 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 3.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.538 * [taylor]: Taking taylor expansion of y in y 3.541 * [taylor]: Taking taylor expansion of 0 in y 3.546 * [taylor]: Taking taylor expansion of 0 in y 3.552 * [taylor]: Taking taylor expansion of 0 in y 3.552 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 3.552 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.552 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 3.552 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.552 * [taylor]: Taking taylor expansion of -1 in y 3.552 * [taylor]: Taking taylor expansion of x in y 3.552 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 3.552 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.552 * [taylor]: Taking taylor expansion of -1 in y 3.552 * [taylor]: Taking taylor expansion of y in y 3.553 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 3.553 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.553 * [taylor]: Taking taylor expansion of -1 in x 3.553 * [taylor]: Taking taylor expansion of x in x 3.553 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 3.553 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.553 * [taylor]: Taking taylor expansion of -1 in x 3.553 * [taylor]: Taking taylor expansion of y in x 3.553 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 3.553 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.553 * [taylor]: Taking taylor expansion of -1 in x 3.553 * [taylor]: Taking taylor expansion of x in x 3.554 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 3.554 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.554 * [taylor]: Taking taylor expansion of -1 in x 3.554 * [taylor]: Taking taylor expansion of y in x 3.554 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 3.554 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 3.554 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.554 * [taylor]: Taking taylor expansion of -1 in y 3.554 * [taylor]: Taking taylor expansion of x in y 3.554 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 3.554 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.554 * [taylor]: Taking taylor expansion of -1 in y 3.555 * [taylor]: Taking taylor expansion of y in y 3.558 * [taylor]: Taking taylor expansion of 0 in y 3.562 * [taylor]: Taking taylor expansion of 0 in y 3.568 * [taylor]: Taking taylor expansion of 0 in y 3.569 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2 2 1) 3.569 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2 1 1 1) 3.569 * * * [progress]: simplifying candidates 3.570 * [simplify]: Simplifying using # : (expm1 (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (log1p (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (* (sqrt 3.0) (sqrt 3.0)) (log (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (exp (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (* (cbrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (cbrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))))) (cbrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (* (* (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (sqrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (sqrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma 1 (cos x) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma 1 (cos x) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma 1 (cos x) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (expm1 (cbrt 5.0)) (log1p (cbrt 5.0)) (log (cbrt 5.0)) (exp (cbrt 5.0)) (cbrt (* (cbrt 5.0) (cbrt 5.0))) (cbrt (cbrt 5.0)) (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)) (cbrt 1) (cbrt 5.0) (* (cbrt (cbrt 5.0)) (cbrt (cbrt 5.0))) (cbrt (cbrt 5.0)) (* (* (cbrt 5.0) (cbrt 5.0)) (cbrt 5.0)) (sqrt (cbrt 5.0)) (sqrt (cbrt 5.0)) (expm1 (cbrt 5.0)) (log1p (cbrt 5.0)) (log (cbrt 5.0)) (exp (cbrt 5.0)) (cbrt (* (cbrt 5.0) (cbrt 5.0))) (cbrt (cbrt 5.0)) (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)) (cbrt 1) (cbrt 5.0) (* (cbrt (cbrt 5.0)) (cbrt (cbrt 5.0))) (cbrt (cbrt 5.0)) (* (* (cbrt 5.0) (cbrt 5.0)) (cbrt 5.0)) (sqrt (cbrt 5.0)) (sqrt (cbrt 5.0)) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) (sqrt (cbrt 5.0))))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) (sqrt (cbrt 5.0))))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) (sqrt (cbrt 5.0))))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) 3.574 * * [simplify]: iteration 0 : 132 enodes (cost 967 ) 3.598 * * [simplify]: iteration 1 : 246 enodes (cost 802 ) 3.652 * * [simplify]: iteration 2 : 599 enodes (cost 678 ) 3.891 * * [simplify]: iteration 3 : 2551 enodes (cost 602 ) 4.774 * * [simplify]: iteration done : 5000 enodes (cost 602 ) 4.775 * [simplify]: Simplified to: (expm1 (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (log1p (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) 3.0 (log (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (exp (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (* (cbrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (cbrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (cbrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (pow (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))) 3) (sqrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (sqrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (- (pow (cbrt (cos x)) 3) (cos y)) 0 (- (pow (cbrt (cos x)) 3) (cos y)) 0 (- (pow (cbrt (cos x)) 3) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (fma (cos x) (cos x) (* (cos y) (+ (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (expm1 (cbrt 5.0)) (log1p (cbrt 5.0)) (log (cbrt 5.0)) (exp (cbrt 5.0)) (cbrt (* (cbrt 5.0) (cbrt 5.0))) (cbrt (cbrt 5.0)) (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)) 1 (cbrt 5.0) (* (cbrt (cbrt 5.0)) (cbrt (cbrt 5.0))) (cbrt (cbrt 5.0)) 5.0 (sqrt (cbrt 5.0)) (sqrt (cbrt 5.0)) (expm1 (cbrt 5.0)) (log1p (cbrt 5.0)) (log (cbrt 5.0)) (exp (cbrt 5.0)) (cbrt (* (cbrt 5.0) (cbrt 5.0))) (cbrt (cbrt 5.0)) (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)) 1 (cbrt 5.0) (* (cbrt (cbrt 5.0)) (cbrt (cbrt 5.0))) (cbrt (cbrt 5.0)) 5.0 (sqrt (cbrt 5.0)) (sqrt (cbrt 5.0)) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ 3.0 (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) 0))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (fma 1/24 (pow x 4) (* 1/2 (- (pow y 2) (* x x)))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ 3.0 (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) 0))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ 3.0 (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) 0))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) 4.775 * * * [progress]: adding candidates to table 5.320 * * [progress]: iteration 3 / 4 5.320 * * * [progress]: picking best candidate 5.409 * * * * [pick]: Picked # 5.409 * * * [progress]: localizing error 5.457 * * * [progress]: generating rewritten candidates 5.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 5.458 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1) 5.461 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2 2 1) 5.462 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2 1 1 1) 5.464 * * * [progress]: generating series expansions 5.464 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.464 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1) 5.464 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 5.464 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 5.464 * [taylor]: Taking taylor expansion of (cos x) in y 5.464 * [taylor]: Taking taylor expansion of x in y 5.464 * [taylor]: Taking taylor expansion of (cos y) in y 5.464 * [taylor]: Taking taylor expansion of y in y 5.464 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 5.464 * [taylor]: Taking taylor expansion of (cos x) in x 5.464 * [taylor]: Taking taylor expansion of x in x 5.464 * [taylor]: Taking taylor expansion of (cos y) in x 5.464 * [taylor]: Taking taylor expansion of y in x 5.464 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 5.464 * [taylor]: Taking taylor expansion of (cos x) in x 5.464 * [taylor]: Taking taylor expansion of x in x 5.464 * [taylor]: Taking taylor expansion of (cos y) in x 5.464 * [taylor]: Taking taylor expansion of y in x 5.465 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 5.465 * [taylor]: Taking taylor expansion of 1 in y 5.465 * [taylor]: Taking taylor expansion of (cos y) in y 5.465 * [taylor]: Taking taylor expansion of y in y 5.468 * [taylor]: Taking taylor expansion of 0 in y 5.472 * [taylor]: Taking taylor expansion of -1/2 in y 5.477 * [taylor]: Taking taylor expansion of 0 in y 5.483 * [taylor]: Taking taylor expansion of 1/24 in y 5.484 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 5.484 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 5.484 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 5.484 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.484 * [taylor]: Taking taylor expansion of x in y 5.484 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 5.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.484 * [taylor]: Taking taylor expansion of y in y 5.484 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 5.484 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.484 * [taylor]: Taking taylor expansion of x in x 5.485 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 5.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.485 * [taylor]: Taking taylor expansion of y in x 5.485 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 5.485 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.485 * [taylor]: Taking taylor expansion of x in x 5.485 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 5.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.485 * [taylor]: Taking taylor expansion of y in x 5.486 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 5.486 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 5.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.486 * [taylor]: Taking taylor expansion of x in y 5.486 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 5.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.486 * [taylor]: Taking taylor expansion of y in y 5.493 * [taylor]: Taking taylor expansion of 0 in y 5.498 * [taylor]: Taking taylor expansion of 0 in y 5.504 * [taylor]: Taking taylor expansion of 0 in y 5.505 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 5.505 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 5.505 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 5.505 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.505 * [taylor]: Taking taylor expansion of -1 in y 5.505 * [taylor]: Taking taylor expansion of x in y 5.505 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 5.505 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.505 * [taylor]: Taking taylor expansion of -1 in y 5.505 * [taylor]: Taking taylor expansion of y in y 5.505 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 5.505 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.505 * [taylor]: Taking taylor expansion of -1 in x 5.505 * [taylor]: Taking taylor expansion of x in x 5.506 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 5.506 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.506 * [taylor]: Taking taylor expansion of -1 in x 5.506 * [taylor]: Taking taylor expansion of y in x 5.506 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 5.506 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.506 * [taylor]: Taking taylor expansion of -1 in x 5.506 * [taylor]: Taking taylor expansion of x in x 5.506 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 5.506 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.506 * [taylor]: Taking taylor expansion of -1 in x 5.506 * [taylor]: Taking taylor expansion of y in x 5.507 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 5.507 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 5.507 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.507 * [taylor]: Taking taylor expansion of -1 in y 5.507 * [taylor]: Taking taylor expansion of x in y 5.507 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 5.507 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.507 * [taylor]: Taking taylor expansion of -1 in y 5.507 * [taylor]: Taking taylor expansion of y in y 5.510 * [taylor]: Taking taylor expansion of 0 in y 5.515 * [taylor]: Taking taylor expansion of 0 in y 5.521 * [taylor]: Taking taylor expansion of 0 in y 5.521 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2 2 1) 5.521 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2 1 1 1) 5.522 * * * [progress]: simplifying candidates 5.523 * [simplify]: Simplifying using # : (expm1 (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (log1p (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (* (sqrt 3.0) (sqrt 3.0)) (log (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (exp (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (* (cbrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (cbrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))))) (cbrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (* (* (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (sqrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (sqrt (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma 1 (cos x) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma 1 (cos x) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma 1 (cos x) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (expm1 (cbrt 5.0)) (log1p (cbrt 5.0)) (log (cbrt 5.0)) (exp (cbrt 5.0)) (cbrt (* (cbrt 5.0) (cbrt 5.0))) (cbrt (cbrt 5.0)) (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)) (cbrt 1) (cbrt 5.0) (* (cbrt (cbrt 5.0)) (cbrt (cbrt 5.0))) (cbrt (cbrt 5.0)) (* (* (cbrt 5.0) (cbrt 5.0)) (cbrt 5.0)) (sqrt (cbrt 5.0)) (sqrt (cbrt 5.0)) (expm1 (cbrt 5.0)) (log1p (cbrt 5.0)) (log (cbrt 5.0)) (exp (cbrt 5.0)) (cbrt (* (cbrt 5.0) (cbrt 5.0))) (cbrt (cbrt 5.0)) (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)) (cbrt 1) (cbrt 5.0) (* (cbrt (cbrt 5.0)) (cbrt (cbrt 5.0))) (cbrt (cbrt 5.0)) (* (* (cbrt 5.0) (cbrt 5.0)) (cbrt 5.0)) (sqrt (cbrt 5.0)) (sqrt (cbrt 5.0)) (/ (/ (fma (cbrt (pow (- (cos x) (cos y)) 3)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) (sqrt (cbrt 5.0))))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (/ (fma (cbrt (pow (- (cos x) (cos y)) 3)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) (sqrt (cbrt 5.0))))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (/ (/ (fma (cbrt (pow (- (cos x) (cos y)) 3)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ (fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) (sqrt (cbrt 5.0))))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) 5.527 * * [simplify]: iteration 0 : 134 enodes (cost 976 ) 5.546 * * [simplify]: iteration 1 : 250 enodes (cost 792 ) 5.602 * * [simplify]: iteration 2 : 605 enodes (cost 678 ) 5.847 * * [simplify]: iteration 3 : 2556 enodes (cost 602 ) 6.703 * * [simplify]: iteration done : 5001 enodes (cost 602 ) 6.704 * [simplify]: Simplified to: (expm1 (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (log1p (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) 3.0 (log (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (exp (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (* (cbrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (cbrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))) (cbrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (pow (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))) 3) (sqrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (sqrt (- 3.0 (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0))))) (- (pow (cbrt (cos x)) 3) (cos y)) 0 (- (pow (cbrt (cos x)) 3) (cos y)) 0 (- (pow (cbrt (cos x)) 3) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (fma (cos x) (cos x) (* (cos y) (+ (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos y) (cos x)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (expm1 (cbrt 5.0)) (log1p (cbrt 5.0)) (log (cbrt 5.0)) (exp (cbrt 5.0)) (cbrt (* (cbrt 5.0) (cbrt 5.0))) (cbrt (cbrt 5.0)) (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)) 1 (cbrt 5.0) (* (cbrt (cbrt 5.0)) (cbrt (cbrt 5.0))) (cbrt (cbrt 5.0)) 5.0 (sqrt (cbrt 5.0)) (sqrt (cbrt 5.0)) (expm1 (cbrt 5.0)) (log1p (cbrt 5.0)) (log (cbrt 5.0)) (exp (cbrt 5.0)) (cbrt (* (cbrt 5.0) (cbrt 5.0))) (cbrt (cbrt 5.0)) (cbrt (sqrt 5.0)) (cbrt (sqrt 5.0)) 1 (cbrt 5.0) (* (cbrt (cbrt 5.0)) (cbrt (cbrt 5.0))) (cbrt (cbrt 5.0)) 5.0 (sqrt (cbrt 5.0)) (sqrt (cbrt 5.0)) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) 0)) 3.0) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (fma 1/24 (pow x 4) (* 1/2 (- (pow y 2) (pow x 2)))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) 0)) 3.0) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (/ (/ (fma (- (cos x) (cos y)) (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (+ (* (fabs (cbrt 5.0)) (+ (- (sqrt (cbrt 5.0))) 0)) 3.0) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) 6.704 * * * [progress]: adding candidates to table 7.303 * * [progress]: iteration 4 / 4 7.303 * * * [progress]: picking best candidate 7.567 * * * * [pick]: Picked # 7.567 * * * [progress]: localizing error 7.617 * * * [progress]: generating rewritten candidates 7.617 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 7.621 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 2 1 2 2 2) 7.621 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2 1 2 1 1 2) 7.622 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2 1 1 2 2) 7.623 * * * [progress]: generating series expansions 7.623 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 7.624 * [approximate]: Taking taylor expansion of (- (cos x) (cos y)) in (x y) around 0 7.624 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in y 7.624 * [taylor]: Taking taylor expansion of (cos x) in y 7.624 * [taylor]: Taking taylor expansion of x in y 7.624 * [taylor]: Taking taylor expansion of (cos y) in y 7.624 * [taylor]: Taking taylor expansion of y in y 7.624 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 7.624 * [taylor]: Taking taylor expansion of (cos x) in x 7.624 * [taylor]: Taking taylor expansion of x in x 7.624 * [taylor]: Taking taylor expansion of (cos y) in x 7.624 * [taylor]: Taking taylor expansion of y in x 7.624 * [taylor]: Taking taylor expansion of (- (cos x) (cos y)) in x 7.624 * [taylor]: Taking taylor expansion of (cos x) in x 7.624 * [taylor]: Taking taylor expansion of x in x 7.624 * [taylor]: Taking taylor expansion of (cos y) in x 7.624 * [taylor]: Taking taylor expansion of y in x 7.625 * [taylor]: Taking taylor expansion of (- 1 (cos y)) in y 7.625 * [taylor]: Taking taylor expansion of 1 in y 7.625 * [taylor]: Taking taylor expansion of (cos y) in y 7.625 * [taylor]: Taking taylor expansion of y in y 7.628 * [taylor]: Taking taylor expansion of 0 in y 7.631 * [taylor]: Taking taylor expansion of -1/2 in y 7.636 * [taylor]: Taking taylor expansion of 0 in y 7.645 * [taylor]: Taking taylor expansion of 1/24 in y 7.646 * [approximate]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in (x y) around 0 7.646 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 7.646 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 7.646 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.646 * [taylor]: Taking taylor expansion of x in y 7.646 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 7.646 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.646 * [taylor]: Taking taylor expansion of y in y 7.646 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 7.646 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.646 * [taylor]: Taking taylor expansion of x in x 7.646 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 7.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.647 * [taylor]: Taking taylor expansion of y in x 7.647 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in x 7.647 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.647 * [taylor]: Taking taylor expansion of x in x 7.647 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 7.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.647 * [taylor]: Taking taylor expansion of y in x 7.648 * [taylor]: Taking taylor expansion of (- (cos (/ 1 x)) (cos (/ 1 y))) in y 7.648 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in y 7.648 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.648 * [taylor]: Taking taylor expansion of x in y 7.648 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 7.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.648 * [taylor]: Taking taylor expansion of y in y 7.651 * [taylor]: Taking taylor expansion of 0 in y 7.656 * [taylor]: Taking taylor expansion of 0 in y 7.662 * [taylor]: Taking taylor expansion of 0 in y 7.662 * [approximate]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in (x y) around 0 7.662 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 7.662 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 7.662 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.662 * [taylor]: Taking taylor expansion of -1 in y 7.662 * [taylor]: Taking taylor expansion of x in y 7.662 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 7.662 * [taylor]: Taking taylor expansion of (/ -1 y) in y 7.662 * [taylor]: Taking taylor expansion of -1 in y 7.662 * [taylor]: Taking taylor expansion of y in y 7.663 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 7.663 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.663 * [taylor]: Taking taylor expansion of -1 in x 7.663 * [taylor]: Taking taylor expansion of x in x 7.663 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 7.663 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.663 * [taylor]: Taking taylor expansion of -1 in x 7.663 * [taylor]: Taking taylor expansion of y in x 7.663 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in x 7.663 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.663 * [taylor]: Taking taylor expansion of -1 in x 7.663 * [taylor]: Taking taylor expansion of x in x 7.664 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 7.664 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.664 * [taylor]: Taking taylor expansion of -1 in x 7.664 * [taylor]: Taking taylor expansion of y in x 7.664 * [taylor]: Taking taylor expansion of (- (cos (/ -1 x)) (cos (/ -1 y))) in y 7.664 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in y 7.664 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.664 * [taylor]: Taking taylor expansion of -1 in y 7.664 * [taylor]: Taking taylor expansion of x in y 7.665 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 7.665 * [taylor]: Taking taylor expansion of (/ -1 y) in y 7.665 * [taylor]: Taking taylor expansion of -1 in y 7.665 * [taylor]: Taking taylor expansion of y in y 7.668 * [taylor]: Taking taylor expansion of 0 in y 7.672 * [taylor]: Taking taylor expansion of 0 in y 7.678 * [taylor]: Taking taylor expansion of 0 in y 7.678 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 2 1 2 2 2) 7.679 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2 1 2 1 1 2) 7.679 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2 1 1 2 2) 7.679 * * * [progress]: simplifying candidates 7.680 * [simplify]: Simplifying using # : (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (* (cbrt (cos x)) (cbrt (cos x))) (cbrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma (sqrt (cos x)) (sqrt (cos x)) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (fma 1 (cos x) (- (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y)))))) (fma (- (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (* (cbrt (cos y)) (cbrt (cos y))))) (fma 1 (cos x) (- (* (sqrt (cos y)) (sqrt (cos y))))) (fma (- (sqrt (cos y))) (sqrt (cos y)) (* (sqrt (cos y)) (sqrt (cos y)))) (fma 1 (cos x) (- (* (cos y) 1))) (fma (- (cos y)) 1 (* (cos y) 1)) (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (/ (exp (cos x)) (exp (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (* (* (- (cos x) (cos y)) (- (cos x) (cos y))) (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (+ (* (cos x) (cos x)) (+ (* (cos y) (cos y)) (* (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) (cbrt 1) (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) (* (* (cbrt 16.0) (cbrt 16.0)) (cbrt 16.0)) (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) (cbrt 1) (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) (* (* (cbrt 16.0) (cbrt 16.0)) (cbrt 16.0)) (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) (cbrt 1) (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) (* (* (cbrt 16.0) (cbrt 16.0)) (cbrt 16.0)) (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (- (+ (* 1/2 (pow y 2)) (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (/ (fma (- (cos x) (cos y)) (* (+ (* (fma 1 (sin x) (- (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0)))))) (sqrt 2.0)) (* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)))) (sqrt 2.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (/ (/ (fma (- (cos x) (cos y)) (* (+ (* (fma 1 (sin x) (- (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0)))))) (sqrt 2.0)) (* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)))) (sqrt 2.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) (/ (/ (fma (- (cos x) (cos y)) (* (+ (* (fma 1 (sin x) (- (* (/ (cbrt (sin y)) (cbrt 16.0)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0)))))) (sqrt 2.0)) (* (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt 16.0) (cbrt 16.0))) (+ (- (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)))) (sqrt 2.0))) (- (sin y) (/ (sin x) 16.0))) 2.0) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0))) 7.684 * * [simplify]: iteration 0 : 125 enodes (cost 933 ) 7.703 * * [simplify]: iteration 1 : 258 enodes (cost 807 ) 7.764 * * [simplify]: iteration 2 : 700 enodes (cost 646 ) 8.042 * * [simplify]: iteration 3 : 2980 enodes (cost 576 ) 9.004 * * [simplify]: iteration done : 5001 enodes (cost 576 ) 9.005 * [simplify]: Simplified to: (- (pow (cbrt (cos x)) 3) (cos y)) 0 (- (pow (cbrt (cos x)) 3) (cos y)) 0 (- (pow (cbrt (cos x)) 3) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (- (cos x) (cos y)) 0 (expm1 (- (cos x) (cos y))) (log1p (- (cos x) (cos y))) (- (cos y)) (- (cos y)) (- (cos y)) (* (sin (/ (- x y) 2)) (sin (/ (+ x y) 2))) (exp (- (cos x) (cos y))) (log (- (cos x) (cos y))) (exp (- (cos x) (cos y))) (* (cbrt (- (cos x) (cos y))) (cbrt (- (cos x) (cos y)))) (cbrt (- (cos x) (cos y))) (pow (- (cos x) (cos y)) 3) (sqrt (- (cos x) (cos y))) (sqrt (- (cos x) (cos y))) (- (pow (cos x) 3) (pow (cos y) 3)) (fma (cos x) (cos x) (* (cos y) (+ (cos x) (cos y)))) (- (cos y)) (- (* (cos x) (cos x)) (* (cos y) (cos y))) (+ (cos x) (cos y)) (+ (sqrt (cos x)) (sqrt (cos y))) (- (sqrt (cos x)) (sqrt (cos y))) (- (cos x) (cos y)) (- (cos y)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) 1 (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) 16.0 (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) 1 (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) 16.0 (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (expm1 (cbrt 16.0)) (log1p (cbrt 16.0)) (log (cbrt 16.0)) (exp (cbrt 16.0)) (cbrt (* (cbrt 16.0) (cbrt 16.0))) (cbrt (cbrt 16.0)) (cbrt (sqrt 16.0)) (cbrt (sqrt 16.0)) 1 (cbrt 16.0) (* (cbrt (cbrt 16.0)) (cbrt (cbrt 16.0))) (cbrt (cbrt 16.0)) 16.0 (sqrt (cbrt 16.0)) (sqrt (cbrt 16.0)) (fma 1/24 (pow x 4) (* 1/2 (- (pow y 2) (pow x 2)))) (- (cos x) (cos y)) (- (cos x) (cos y)) (/ (fma (* (- (cos x) (cos y)) (- (sin y) (/ (sin x) 16.0))) (* (fma (* 0 (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)) (- (sin x) (/ (pow (cbrt (sin y)) 3) 16.0))) (sqrt 2.0)) 2.0) (* (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0)) (/ (fma (* (- (cos x) (cos y)) (- (sin y) (/ (sin x) 16.0))) (* (fma (* 0 (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)) (- (sin x) (/ (pow (cbrt (sin y)) 3) 16.0))) (sqrt 2.0)) 2.0) (* (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0)) (/ (fma (* (- (cos x) (cos y)) (- (sin y) (/ (sin x) 16.0))) (* (fma (* 0 (/ (cbrt (sin y)) (cbrt 16.0))) (/ (cbrt (sin y)) (cbrt 16.0)) (- (sin x) (/ (pow (cbrt (sin y)) 3) 16.0))) (sqrt 2.0)) 2.0) (* (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0)) 9.006 * * * [progress]: adding candidates to table 9.554 * [progress]: [Phase 3 of 3] Extracting. 9.555 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 9.572 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ 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))))) y x) 9.572 * * * * [regimes]: Trying to branch on (/ (+ 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))))) from (# # # # # # # # # # # #) 9.704 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # #) 9.811 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 9.919 * * * [regime]: Found split indices: #