6.520 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.144 * * * [progress]: [2/2] Setting up program. 0.146 * [progress]: [Phase 2 of 3] Improving. 0.146 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.148 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.150 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.151 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.152 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.152 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.161 * * * [progress]: generating rewritten candidates 0.161 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.166 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.175 * * * [progress]: generating series expansions 0.175 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.175 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (cos x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (cos x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.185 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.189 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.201 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.201 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (cos x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sin x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (cos x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (sin x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.223 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.229 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.229 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.231 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.236 * * * [progress]: simplifying candidates 0.237 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.242 * * [simplify]: iteration 0 : 292 enodes (cost 569 ) 0.248 * * [simplify]: iteration 1 : 965 enodes (cost 460 ) 0.269 * * [simplify]: iteration 2 : 5002 enodes (cost 460 ) 0.272 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) (sin x)) (* (sin x) (+ 1.0 (cos x))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.273 * * * [progress]: adding candidates to table 0.431 * * [progress]: iteration 2 / 4 0.431 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.464 * * * [progress]: localizing error 0.475 * * * [progress]: generating rewritten candidates 0.475 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 0.475 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.476 * * * [progress]: generating series expansions 0.476 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 0.477 * [approximate]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.477 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.477 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.477 * [taylor]: Taking taylor expansion of 1/240 in x 0.477 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.477 * [taylor]: Taking taylor expansion of 1/2 in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.477 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.477 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.477 * [taylor]: Taking taylor expansion of 1/240 in x 0.477 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.477 * [taylor]: Taking taylor expansion of 1/2 in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.508 * [approximate]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.508 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.508 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.508 * [taylor]: Taking taylor expansion of 1/240 in x 0.508 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.509 * [taylor]: Taking taylor expansion of 1/2 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.510 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.510 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.510 * [taylor]: Taking taylor expansion of 1/240 in x 0.510 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.510 * [taylor]: Taking taylor expansion of 1/2 in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.552 * [approximate]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in (x) around 0 0.552 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.552 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.552 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.552 * [taylor]: Taking taylor expansion of 1/240 in x 0.552 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.552 * [taylor]: Taking taylor expansion of -1 in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.552 * [taylor]: Taking taylor expansion of -1/2 in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.553 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.553 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.553 * [taylor]: Taking taylor expansion of 1/240 in x 0.553 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.553 * [taylor]: Taking taylor expansion of -1 in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.553 * [taylor]: Taking taylor expansion of -1/2 in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.601 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.602 * [approximate]: Taking taylor expansion of (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) in (x) around 0 0.602 * [taylor]: Taking taylor expansion of (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) in x 0.602 * [taylor]: Rewrote expression to (+ (* 1/24 (pow x 3)) (fma 1/240 (pow x 5) (* 1/2 x))) 0.602 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.602 * [taylor]: Taking taylor expansion of 1/24 in x 0.602 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.602 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.602 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.602 * [taylor]: Taking taylor expansion of 1/240 in x 0.602 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.602 * [taylor]: Taking taylor expansion of 1/2 in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) in x 0.603 * [taylor]: Rewrote expression to (+ (* 1/24 (pow x 3)) (fma 1/240 (pow x 5) (* 1/2 x))) 0.603 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.603 * [taylor]: Taking taylor expansion of 1/24 in x 0.603 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.603 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.603 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.603 * [taylor]: Taking taylor expansion of 1/240 in x 0.603 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.603 * [taylor]: Taking taylor expansion of 1/2 in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.613 * [approximate]: Taking taylor expansion of (fma 1/24 (pow (/ 1 x) 3) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) in (x) around 0 0.613 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ 1 x) 3) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) in x 0.613 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ 1 x) 3)) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) 0.613 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ 1 x) 3)) in x 0.614 * [taylor]: Taking taylor expansion of 1/24 in x 0.614 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.614 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.614 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.614 * [taylor]: Taking taylor expansion of 1/240 in x 0.614 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.614 * [taylor]: Taking taylor expansion of 1/2 in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ 1 x) 3) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) in x 0.615 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ 1 x) 3)) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) 0.615 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ 1 x) 3)) in x 0.615 * [taylor]: Taking taylor expansion of 1/24 in x 0.615 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.615 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.615 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.615 * [taylor]: Taking taylor expansion of 1/240 in x 0.615 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.616 * [taylor]: Taking taylor expansion of 1/2 in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.634 * [approximate]: Taking taylor expansion of (fma 1/24 (pow (/ -1 x) 3) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) in (x) around 0 0.634 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ -1 x) 3) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) in x 0.634 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ -1 x) 3)) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) 0.634 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ -1 x) 3)) in x 0.634 * [taylor]: Taking taylor expansion of 1/24 in x 0.634 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 0.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.634 * [taylor]: Taking taylor expansion of -1 in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.634 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.634 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.634 * [taylor]: Taking taylor expansion of 1/240 in x 0.634 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.634 * [taylor]: Taking taylor expansion of -1 in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.635 * [taylor]: Taking taylor expansion of -1/2 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ -1 x) 3) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) in x 0.635 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ -1 x) 3)) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) 0.635 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ -1 x) 3)) in x 0.635 * [taylor]: Taking taylor expansion of 1/24 in x 0.635 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 0.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.636 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.636 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.636 * [taylor]: Taking taylor expansion of 1/240 in x 0.636 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.636 * [taylor]: Taking taylor expansion of -1/2 in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.659 * * * [progress]: simplifying candidates 0.660 * [simplify]: Simplifying using # : (expm1 (fma 1/240 (pow x 5) (* 1/2 x))) (log1p (fma 1/240 (pow x 5) (* 1/2 x))) (* 1/240 (pow x 5)) (log (fma 1/240 (pow x 5) (* 1/2 x))) (exp (fma 1/240 (pow x 5) (* 1/2 x))) (* (cbrt (fma 1/240 (pow x 5) (* 1/2 x))) (cbrt (fma 1/240 (pow x 5) (* 1/2 x)))) (cbrt (fma 1/240 (pow x 5) (* 1/2 x))) (* (* (fma 1/240 (pow x 5) (* 1/2 x)) (fma 1/240 (pow x 5) (* 1/2 x))) (fma 1/240 (pow x 5) (* 1/2 x))) (sqrt (fma 1/240 (pow x 5) (* 1/2 x))) (sqrt (fma 1/240 (pow x 5) (* 1/2 x))) (expm1 (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (log1p (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* 1/24 (pow x 3)) (log (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (exp (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))) (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* (* (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (sqrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (sqrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 0.663 * * [simplify]: iteration 0 : 61 enodes (cost 148 ) 0.665 * * [simplify]: iteration 1 : 188 enodes (cost 130 ) 0.670 * * [simplify]: iteration 2 : 1009 enodes (cost 130 ) 0.693 * * [simplify]: iteration 3 : 5002 enodes (cost 130 ) 0.694 * [simplify]: Simplified to: (expm1 (fma 1/240 (pow x 5) (* 1/2 x))) (log1p (fma 1/240 (pow x 5) (* 1/2 x))) (* 1/240 (pow x 5)) (log (fma 1/240 (pow x 5) (* 1/2 x))) (exp (fma 1/240 (pow x 5) (* 1/2 x))) (* (cbrt (fma 1/240 (pow x 5) (* 1/2 x))) (cbrt (fma 1/240 (pow x 5) (* 1/2 x)))) (cbrt (fma 1/240 (pow x 5) (* 1/2 x))) (pow (fma 1/2 x (* 1/240 (pow x 5))) 3) (sqrt (fma 1/240 (pow x 5) (* 1/2 x))) (sqrt (fma 1/240 (pow x 5) (* 1/2 x))) (expm1 (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (log1p (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* 1/24 (pow x 3)) (log (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (exp (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (* (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))) (cbrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (pow (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) 3) (sqrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (sqrt (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))) (fma 1/2 x (* 1/240 (pow x 5))) (fma 1/2 x (* 1/240 (pow x 5))) (fma 1/2 x (* 1/240 (pow x 5))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) 0.694 * * * [progress]: adding candidates to table 0.754 * * [progress]: iteration 3 / 4 0.754 * * * [progress]: picking best candidate 0.789 * * * * [pick]: Picked # 0.789 * * * [progress]: localizing error 0.799 * * * [progress]: generating rewritten candidates 0.799 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.804 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.808 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.813 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.824 * * * [progress]: generating series expansions 0.824 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.824 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.824 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (cos x) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.825 * [taylor]: Taking taylor expansion of 1.0 in x 0.825 * [taylor]: Taking taylor expansion of (cos x) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.835 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.835 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.835 * [taylor]: Taking taylor expansion of 1.0 in x 0.835 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.835 * [taylor]: Taking taylor expansion of 1.0 in x 0.835 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.839 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.839 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.839 * [taylor]: Taking taylor expansion of -1 in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.839 * [taylor]: Taking taylor expansion of -1 in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.847 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.847 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 0.847 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.847 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.847 * [taylor]: Taking taylor expansion of 1.0 in x 0.847 * [taylor]: Taking taylor expansion of (cos x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.850 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.850 * [taylor]: Taking taylor expansion of 1.0 in x 0.850 * [taylor]: Taking taylor expansion of (cos x) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.871 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.871 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.871 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.893 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.893 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.893 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.894 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.894 * [taylor]: Taking taylor expansion of -1 in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.916 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.917 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.917 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of (cos x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of (cos x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.932 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.936 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.936 * [taylor]: Taking taylor expansion of -1 in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.937 * [taylor]: Taking taylor expansion of -1 in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.940 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.940 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.940 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.940 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (cos x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (sin x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.943 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.943 * [taylor]: Taking taylor expansion of 1.0 in x 0.943 * [taylor]: Taking taylor expansion of (cos x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (sin x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.960 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.960 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.961 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.961 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.961 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.967 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.967 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.967 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.967 * [taylor]: Taking taylor expansion of 1.0 in x 0.967 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.968 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.969 * [taylor]: Taking taylor expansion of -1 in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.974 * * * [progress]: simplifying candidates 0.976 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (exp (log (- 1.0 (cos x))))) (log1p (exp (log (- 1.0 (cos x))))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (expm1 (/ (exp (log (- 1.0 (cos x)))) (sin x))) (log1p (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (exp (log (- 1.0 (cos x)))) (sin x))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (* (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (exp (log (- 1.0 (cos x))))) (- (sin x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) 1) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 1 (sin x)) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) 1) (/ (sin x) (exp (log (cbrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (sqrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (* (sin x) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (sin x) (exp (log (+ 1.0 (cos x))))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.982 * * [simplify]: iteration 0 : 354 enodes (cost 1019 ) 0.988 * * [simplify]: iteration 1 : 1045 enodes (cost 861 ) 1.009 * * [simplify]: iteration 2 : 5001 enodes (cost 817 ) 1.014 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (- (cos x) (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (- (cos x) (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) E (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) E (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (expm1 (/ (exp (log (- 1.0 (cos x)))) (sin x))) (log1p (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (+ (- 1.0) (cos x)) (- (sin x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (cbrt (sin x))) (/ (/ (cbrt (- 1.0 (cos x))) 1) (cbrt (sin x))) (/ (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (/ (cbrt (- 1.0 (cos x))) 1) (sqrt (sin x))) (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (sin x) 1)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt (sin x)) 1)) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (cbrt (sin x))) (/ (/ (cbrt (- 1.0 (cos x))) 1) (cbrt (sin x))) (/ (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (/ (cbrt (- 1.0 (cos x))) 1) (sqrt (sin x))) (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (sin x) 1)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (/ (- 1.0 (cos x)) (cbrt (sin x))) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (+ 1.0 (cos x)) (sin x)) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (log x) 2 (- (log 1/2) (fma 1/12 (pow x 2) (* 1/1440 (pow x 4))))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.015 * * * [progress]: adding candidates to table 1.240 * * [progress]: iteration 4 / 4 1.240 * * * [progress]: picking best candidate 1.275 * * * * [pick]: Picked # 1.275 * * * [progress]: localizing error 1.287 * * * [progress]: generating rewritten candidates 1.287 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.292 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.296 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.301 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.315 * * * [progress]: generating series expansions 1.315 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.315 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.315 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of (cos x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of (cos x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.325 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.326 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.326 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.329 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.329 * [taylor]: Taking taylor expansion of -1 in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.330 * [taylor]: Taking taylor expansion of -1 in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.333 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.333 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.333 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.333 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (cos x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.336 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (cos x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.362 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.362 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.362 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.362 * [taylor]: Taking taylor expansion of 1.0 in x 1.362 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.363 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.363 * [taylor]: Taking taylor expansion of 1.0 in x 1.363 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.384 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.384 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.384 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.384 * [taylor]: Taking taylor expansion of 1.0 in x 1.384 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.384 * [taylor]: Taking taylor expansion of -1 in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.385 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.385 * [taylor]: Taking taylor expansion of 1.0 in x 1.385 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.385 * [taylor]: Taking taylor expansion of -1 in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.406 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.406 * [approximate]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in x 1.406 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos x))) (log E))) in x 1.406 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos x))) (log E)) in x 1.406 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (cos x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (log E) in x 1.409 * [taylor]: Taking taylor expansion of E in x 1.410 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in x 1.410 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos x))) (log E))) in x 1.410 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos x))) (log E)) in x 1.410 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.410 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of (cos x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.412 * [taylor]: Taking taylor expansion of (log E) in x 1.412 * [taylor]: Taking taylor expansion of E in x 1.463 * [approximate]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.463 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in x 1.463 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ 1 x)))) (log E))) in x 1.463 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ 1 x)))) (log E)) in x 1.463 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.463 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.463 * [taylor]: Taking taylor expansion of 1.0 in x 1.463 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (log E) in x 1.463 * [taylor]: Taking taylor expansion of E in x 1.463 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in x 1.463 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ 1 x)))) (log E))) in x 1.463 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ 1 x)))) (log E)) in x 1.463 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.464 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.464 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of (log E) in x 1.464 * [taylor]: Taking taylor expansion of E in x 1.537 * [approximate]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in (x) around 0 1.537 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in x 1.537 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ -1 x)))) (log E))) in x 1.537 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ -1 x)))) (log E)) in x 1.537 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.537 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.537 * [taylor]: Taking taylor expansion of 1.0 in x 1.537 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.538 * [taylor]: Taking taylor expansion of -1 in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (log E) in x 1.538 * [taylor]: Taking taylor expansion of E in x 1.538 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in x 1.538 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ -1 x)))) (log E))) in x 1.538 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ -1 x)))) (log E)) in x 1.538 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.538 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.538 * [taylor]: Taking taylor expansion of 1.0 in x 1.538 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.538 * [taylor]: Taking taylor expansion of -1 in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (log E) in x 1.539 * [taylor]: Taking taylor expansion of E in x 1.612 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.612 * [approximate]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos x)))) (sin x)) in (x) around 0 1.612 * [taylor]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos x)))) (sin x)) in x 1.612 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in x 1.612 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos x))) (log E))) in x 1.612 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos x))) (log E)) in x 1.612 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.612 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.612 * [taylor]: Taking taylor expansion of 1.0 in x 1.612 * [taylor]: Taking taylor expansion of (cos x) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of (log E) in x 1.615 * [taylor]: Taking taylor expansion of E in x 1.616 * [taylor]: Taking taylor expansion of (sin x) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.617 * [taylor]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos x)))) (sin x)) in x 1.617 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in x 1.617 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos x))) (log E))) in x 1.617 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos x))) (log E)) in x 1.617 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.617 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.617 * [taylor]: Taking taylor expansion of 1.0 in x 1.617 * [taylor]: Taking taylor expansion of (cos x) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of (log E) in x 1.620 * [taylor]: Taking taylor expansion of E in x 1.621 * [taylor]: Taking taylor expansion of (sin x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.679 * [approximate]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos (/ 1 x))))) (sin (/ 1 x))) in (x) around 0 1.679 * [taylor]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos (/ 1 x))))) (sin (/ 1 x))) in x 1.679 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in x 1.679 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ 1 x)))) (log E))) in x 1.679 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ 1 x)))) (log E)) in x 1.679 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.679 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.679 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (log E) in x 1.679 * [taylor]: Taking taylor expansion of E in x 1.680 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos (/ 1 x))))) (sin (/ 1 x))) in x 1.680 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in x 1.680 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ 1 x)))) (log E))) in x 1.680 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ 1 x)))) (log E)) in x 1.680 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.680 * [taylor]: Taking taylor expansion of 1.0 in x 1.680 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (log E) in x 1.681 * [taylor]: Taking taylor expansion of E in x 1.681 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.755 * [approximate]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos (/ -1 x))))) (sin (/ -1 x))) in (x) around 0 1.755 * [taylor]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos (/ -1 x))))) (sin (/ -1 x))) in x 1.755 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in x 1.755 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ -1 x)))) (log E))) in x 1.755 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ -1 x)))) (log E)) in x 1.755 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.755 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.756 * [taylor]: Taking taylor expansion of -1 in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.756 * [taylor]: Taking taylor expansion of (log E) in x 1.756 * [taylor]: Taking taylor expansion of E in x 1.756 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.756 * [taylor]: Taking taylor expansion of -1 in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos (/ -1 x))))) (sin (/ -1 x))) in x 1.757 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in x 1.757 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ -1 x)))) (log E))) in x 1.757 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ -1 x)))) (log E)) in x 1.757 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.757 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.757 * [taylor]: Taking taylor expansion of 1.0 in x 1.757 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.757 * [taylor]: Taking taylor expansion of -1 in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (log E) in x 1.757 * [taylor]: Taking taylor expansion of E in x 1.758 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.758 * [taylor]: Taking taylor expansion of -1 in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.832 * * * [progress]: simplifying candidates 1.834 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (pow E (log (- 1.0 (cos x))))) (log1p (pow E (log (- 1.0 (cos x))))) (* 1 (log (- 1.0 (cos x)))) (* (log E) (log (- 1.0 (cos x)))) (* (log E) (log (- 1.0 (cos x)))) (* 1 (log (- 1.0 (cos x)))) (pow E (log (- (pow 1.0 3) (pow (cos x) 3)))) (pow E (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (pow E (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (pow E (log (+ 1.0 (cos x)))) (pow E 1) (pow E (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (pow E (sqrt (log (- 1.0 (cos x))))) (pow E 1) (pow E (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (pow E (log (cbrt (- 1.0 (cos x))))) (pow E (log (sqrt (- 1.0 (cos x))))) (pow E (log (sqrt (- 1.0 (cos x))))) (pow E (log 1)) (pow E (log (- 1.0 (cos x)))) (pow E (log (+ (sqrt 1.0) (sqrt (cos x))))) (pow E (log (- (sqrt 1.0) (sqrt (cos x))))) (pow E (log 1)) (pow E (log (- 1.0 (cos x)))) (pow (* (cbrt E) (cbrt E)) (log (- 1.0 (cos x)))) (pow (cbrt E) (log (- 1.0 (cos x)))) (pow (sqrt E) (log (- 1.0 (cos x)))) (pow (sqrt E) (log (- 1.0 (cos x)))) (pow 1 (log (- 1.0 (cos x)))) (pow E (log (- 1.0 (cos x)))) (log (pow E (log (- 1.0 (cos x))))) (exp (pow E (log (- 1.0 (cos x))))) (* (cbrt (pow E (log (- 1.0 (cos x))))) (cbrt (pow E (log (- 1.0 (cos x)))))) (cbrt (pow E (log (- 1.0 (cos x))))) (* (* (pow E (log (- 1.0 (cos x)))) (pow E (log (- 1.0 (cos x))))) (pow E (log (- 1.0 (cos x))))) (sqrt (pow E (log (- 1.0 (cos x))))) (sqrt (pow E (log (- 1.0 (cos x))))) (pow E (/ (log (- 1.0 (cos x))) 2)) (pow E (/ (log (- 1.0 (cos x))) 2)) (expm1 (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (log1p (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (- (* 1 (log (- 1.0 (cos x)))) (log (sin x))) (- (* (log E) (log (- 1.0 (cos x)))) (log (sin x))) (- (* (log E) (log (- 1.0 (cos x)))) (log (sin x))) (- (log (pow E (log (- 1.0 (cos x))))) (log (sin x))) (log (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (exp (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (/ (* (* (pow E (log (- 1.0 (cos x)))) (pow E (log (- 1.0 (cos x))))) (pow E (log (- 1.0 (cos x))))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (pow E (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (* (* (/ (pow E (log (- 1.0 (cos x)))) (sin x)) (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (pow E (log (- 1.0 (cos x)))) (sin x))) (- (pow E (log (- 1.0 (cos x))))) (- (sin x)) (/ (pow E (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (pow E (log (cbrt (- 1.0 (cos x))))) 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E (log (- 1.0 (cos x)))) 1) (/ (sin x) (pow E (log (cbrt (- 1.0 (cos x)))))) (/ (sin x) (pow E (log (sqrt (- 1.0 (cos x)))))) (/ (sin x) (pow E (log (- 1.0 (cos x))))) (/ (sin x) (pow E (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (pow E (log (- 1.0 (cos x))))) (/ (sin x) (pow (cbrt E) (log (- 1.0 (cos x))))) (/ (sin x) (pow (sqrt E) (log (- 1.0 (cos x))))) (/ (sin x) (pow E (log (- 1.0 (cos x))))) (/ (sin x) (cbrt (pow E (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (pow E (log (- 1.0 (cos x)))))) (/ (sin x) (pow E (log (- 1.0 (cos x))))) (/ (sin x) (pow E (/ (log (- 1.0 (cos x))) 2))) (* (sin x) (pow E (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (sin x) (pow E (log (+ 1.0 (cos x))))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (- (+ (exp (+ (* 2 (log x)) (log 1/2))) (* 1/360 (* (pow x 4) (exp (+ (* 2 (log x)) (log 1/2)))))) (* 1/12 (* (pow x 2) (exp (+ (* 2 (log x)) (log 1/2)))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/12 (* x (exp (+ (* 2 (log x)) (log 1/2))))) (+ (* 1/120 (* (pow x 3) (exp (+ (* 2 (log x)) (log 1/2))))) (/ (exp (+ (* 2 (log x)) (log 1/2))) x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.842 * * [simplify]: iteration 0 : 477 enodes (cost 1423 ) 1.851 * * [simplify]: iteration 1 : 1740 enodes (cost 1205 ) 1.880 * * [simplify]: iteration 2 : 5003 enodes (cost 1166 ) 1.887 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- 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2.203 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 2.209 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 2.209 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # #) 2.289 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# #) 2.308 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # #) 2.380 * * * [regime]: Found split indices: #