13.385 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.056 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.058 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.059 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.060 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.062 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.062 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.074 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.090 * * * [progress]: generating series expansions 0.090 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.090 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (cos x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (cos x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.109 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.122 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.123 * [taylor]: Taking taylor expansion of -1 in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.123 * [taylor]: Taking taylor expansion of -1 in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.133 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.134 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (cos x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (cos x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.144 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.148 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.148 * [taylor]: Taking taylor expansion of -1 in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.149 * [taylor]: Taking taylor expansion of -1 in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.157 * * * [progress]: simplifying candidates 0.158 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.163 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.168 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.187 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.189 * [simplify]: Simplified to: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (pow x 2) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (* x x) (+ 1.0 (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)) (- (* (* (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))) (* (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)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x 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)) 0.190 * * * [progress]: adding candidates to table 0.302 * * [progress]: iteration 2 / 4 0.302 * * * [progress]: picking best candidate 0.325 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.333 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.336 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.346 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.376 * * * [progress]: generating series expansions 0.376 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.376 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (cos x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (cos x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.387 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.391 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.395 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.395 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.395 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (cos x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.397 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (cos x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.410 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.410 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.421 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.422 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.437 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.437 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (cos x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (cos x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.461 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.485 * * * [progress]: simplifying candidates 0.486 * [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)) x)) (log1p (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (expm1 (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.494 * * [simplify]: iteration 0 : 582 enodes (cost 999 ) 0.505 * * [simplify]: iteration 1 : 2640 enodes (cost 823 ) 0.552 * * [simplify]: iteration 2 : 5001 enodes (cost 787 ) 0.556 * [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)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (pow x 1/2)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) x) (* x (+ 1.0 (cos x))) (expm1 (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (/ (- 1.0 (cos x)) (pow x 2)) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (- 1.0 (cos x)) (pow x 2) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) x) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) 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 x 1/2 (- (* 1/720 (pow x 5)) (* 1/24 (pow x 3)))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.557 * * * [progress]: adding candidates to table 0.787 * * [progress]: iteration 3 / 4 0.787 * * * [progress]: picking best candidate 0.818 * * * * [pick]: Picked # 0.818 * * * [progress]: localizing error 0.826 * * * [progress]: generating rewritten candidates 0.826 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.829 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.844 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.875 * * * [progress]: generating series expansions 0.876 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.876 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.876 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (cos x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (cos x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.890 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.894 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 0.894 * [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 0.897 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.898 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.898 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.898 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (cos x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (cos x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.913 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.925 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.925 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.940 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.940 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.940 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) 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 (pow x 2) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) 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 (pow x 2) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.958 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.958 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.959 * [taylor]: Taking taylor expansion of 1.0 in x 0.959 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.976 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.976 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.976 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.976 * [taylor]: Taking taylor expansion of -1 in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.977 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.977 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.977 * [taylor]: Taking taylor expansion of -1 in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.987 * * * [progress]: simplifying candidates 0.989 * [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)) (/ 1 x))) (log1p (* (- 1.0 (cos x)) (/ 1 x))) (* (- 1.0 (cos x)) (/ 1 x)) (+ (log (- 1.0 (cos x))) (- (log x))) (+ (log (- 1.0 (cos x))) (- 0 (log x))) (+ (log (- 1.0 (cos x))) (- (log 1) (log x))) (+ (log (- 1.0 (cos x))) (log (/ 1 x))) (log (* (- 1.0 (cos x)) (/ 1 x))) (exp (* (- 1.0 (cos x)) (/ 1 x))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (- 1.0 (cos x)) (/ 1 x))) (cbrt (* (- 1.0 (cos x)) (/ 1 x)))) (cbrt (* (- 1.0 (cos x)) (/ 1 x))) (* (* (* (- 1.0 (cos x)) (/ 1 x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (- 1.0 (cos x)) (/ 1 x))) (sqrt (* (- 1.0 (cos x)) (/ 1 x))) (sqrt (* (- 1.0 (cos x)) (/ 1 x))) (* (- (pow 1.0 3) (pow (cos x) 3)) 1) (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) x) (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (* (+ 1.0 (cos x)) x) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 x))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 x))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt x))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt x))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt x))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt x))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (- 1.0 (cos x)) (sqrt (/ 1 x))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- 1.0 (cos x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (- 1.0 (cos x)) (/ (sqrt 1) (sqrt x))) (* (- 1.0 (cos x)) (/ (sqrt 1) 1)) (* (- 1.0 (cos x)) (/ 1 (* (cbrt x) (cbrt x)))) (* (- 1.0 (cos x)) (/ 1 (sqrt x))) (* (- 1.0 (cos x)) (/ 1 1)) (* (- 1.0 (cos x)) 1) (* (- 1.0 (cos x)) 1) (* (cbrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (- 1.0 (cos x)) (/ 1 x)) (* (- (sqrt 1.0) (sqrt (cos x))) (/ 1 x)) (* (- 1.0 (cos x)) (/ 1 x)) (* (- 1.0 (cos x)) 1) (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 x)) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 x)) (expm1 (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (log1p (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x))) (+ (- (log x)) (+ (log (- 1.0 (cos x))) (- (log x)))) (+ (- (log x)) (+ (log (- 1.0 (cos x))) (- 0 (log x)))) (+ (- (log x)) (+ (log (- 1.0 (cos x))) (- (log 1) (log x)))) (+ (- (log x)) (+ (log (- 1.0 (cos x))) (log (/ 1 x)))) (+ (- (log x)) (log (* (- 1.0 (cos x)) (/ 1 x)))) (+ (- 0 (log x)) (+ (log (- 1.0 (cos x))) (- (log x)))) (+ (- 0 (log x)) (+ (log (- 1.0 (cos x))) (- 0 (log x)))) (+ (- 0 (log x)) (+ (log (- 1.0 (cos x))) (- (log 1) (log x)))) (+ (- 0 (log x)) (+ (log (- 1.0 (cos x))) (log (/ 1 x)))) (+ (- 0 (log x)) (log (* (- 1.0 (cos x)) (/ 1 x)))) (+ (- (log 1) (log x)) (+ (log (- 1.0 (cos x))) (- (log x)))) (+ (- (log 1) (log x)) (+ (log (- 1.0 (cos x))) (- 0 (log x)))) (+ (- (log 1) (log x)) (+ (log (- 1.0 (cos x))) (- (log 1) (log x)))) (+ (- (log 1) (log x)) (+ (log (- 1.0 (cos x))) (log (/ 1 x)))) (+ (- (log 1) (log x)) (log (* (- 1.0 (cos x)) (/ 1 x)))) (+ (log (/ 1 x)) (+ (log (- 1.0 (cos x))) (- (log x)))) (+ (log (/ 1 x)) (+ (log (- 1.0 (cos x))) (- 0 (log x)))) (+ (log (/ 1 x)) (+ (log (- 1.0 (cos x))) (- (log 1) (log x)))) (+ (log (/ 1 x)) (+ (log (- 1.0 (cos x))) (log (/ 1 x)))) (+ (log (/ 1 x)) (log (* (- 1.0 (cos x)) (/ 1 x)))) (log (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (exp (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (/ (* (* 1 1) 1) (* (* x x) x)))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (* (- 1.0 (cos x)) (/ 1 x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (- 1.0 (cos x)) (/ 1 x)))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (/ (* (* 1 1) 1) (* (* x x) x)))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (* (- 1.0 (cos x)) (/ 1 x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (- 1.0 (cos x)) (/ 1 x)))) (* (cbrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (cbrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x))))) (cbrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (* (* (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (sqrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (sqrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (* 1 (* (- (pow 1.0 3) (pow (cos x) 3)) 1)) (* x (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) x)) (* 1 (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1)) (* x (* (+ 1.0 (cos x)) x)) (* 1 (- 1.0 (cos x))) (* x x) (* 1 (* (- 1.0 (cos x)) 1)) (* x x) (* 1 (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* 1 (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 x))) (* x (+ 1.0 (cos x))) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (sqrt (/ 1 x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ (cbrt 1) (cbrt x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ (cbrt 1) (sqrt x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ (cbrt 1) x) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ (sqrt 1) (cbrt x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ (sqrt 1) (sqrt x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ (sqrt 1) x) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ 1 (cbrt x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ 1 (sqrt x)) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x))) (* (/ 1 x) (* (- (pow 1.0 3) (pow (cos x) 3)) 1)) (* (/ 1 x) (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1)) (* (/ 1 x) (- 1.0 (cos x))) (* (/ 1 x) (* (- 1.0 (cos x)) 1)) (* (/ 1 x) (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 x))) (* (/ 1 x) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 x))) (* 1 (* (- 1.0 (cos x)) (/ 1 x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.996 * * [simplify]: iteration 0 : 609 enodes (cost 1041 ) 1.007 * * [simplify]: iteration 1 : 2657 enodes (cost 783 ) 1.050 * * [simplify]: iteration 2 : 5001 enodes (cost 759 ) 1.053 * [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)) (/ 1 x))) (log1p (* (- 1.0 (cos x)) (/ 1 x))) (/ (- 1.0 (cos x)) x) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (* (- 1.0 (cos x)) (/ 1 x))) (cbrt (* (- 1.0 (cos x)) (/ 1 x)))) (cbrt (* (- 1.0 (cos x)) (/ 1 x))) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (* (- 1.0 (cos x)) (/ 1 x))) (sqrt (* (- 1.0 (cos x)) (/ 1 x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 (* x 1.0) (* (* x (cos x)) (+ 1.0 (cos x)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 x))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 x))) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (* (- 1.0 (cos x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (- 1.0 (cos x)) (sqrt (/ 1 x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (/ (- 1.0 (cos x)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (- 1.0 (cos x)) x) (- 1.0 (cos x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) x) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) x) (expm1 (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (log1p (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (pow (exp (/ (- 1.0 (cos x)) x)) (/ 1 x)) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (cbrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x))))) (cbrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (sqrt (* (/ 1 x) (* (- 1.0 (cos x)) (/ 1 x)))) (- (pow 1.0 3) (pow (cos x) 3)) (* (pow x 2) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (* (+ 1.0 (cos x)) x)) (- 1.0 (cos x)) (pow x 2) (- 1.0 (cos x)) (pow x 2) (/ (- (pow 1.0 3) (pow (cos x) 3)) x) (fma 1.0 (* x 1.0) (* (* x (cos x)) (+ 1.0 (cos x)))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) x) (* x (+ 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (* (/ (- 1.0 (cos x)) x) (cbrt (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (sqrt (/ 1 x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (- (pow 1.0 3) (pow (cos x) 3)) x) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (/ (- (pow 1.0 3) (pow (cos x) 3)) x) x) (/ (/ (- (* 1.0 1.0) (* (cos x) (cos x))) x) x) (/ (- 1.0 (cos x)) 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 x 1/2 (- (* 1/720 (pow x 5)) (* 1/24 (pow x 3)))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) 1.054 * * * [progress]: adding candidates to table 1.266 * * [progress]: iteration 4 / 4 1.266 * * * [progress]: picking best candidate 1.294 * * * * [pick]: Picked # 1.294 * * * [progress]: localizing error 1.309 * * * [progress]: generating rewritten candidates 1.309 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.334 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 3 2) 1.337 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.338 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 3) 1.363 * * * [progress]: generating series expansions 1.363 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.364 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.364 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.364 * [taylor]: Taking taylor expansion of (cos x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.365 * [taylor]: Taking taylor expansion of (cos x) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.385 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.385 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.385 * [taylor]: Taking taylor expansion of 1.0 in x 1.385 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.386 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.386 * [taylor]: Taking taylor expansion of 1.0 in x 1.386 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.386 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.398 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.398 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.399 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.399 * [taylor]: Taking taylor expansion of -1 in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.399 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.399 * [taylor]: Taking taylor expansion of -1 in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.418 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 3 2) 1.418 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 1.418 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.418 * [taylor]: Taking taylor expansion of (cos x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.418 * [taylor]: Taking taylor expansion of (cos x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.423 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.423 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.423 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.425 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.425 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.425 * [taylor]: Taking taylor expansion of -1 in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.425 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.425 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.428 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.428 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.428 * [taylor]: Taking taylor expansion of (cos x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.428 * [taylor]: Taking taylor expansion of (cos x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.436 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.437 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.437 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.437 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.446 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.446 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.446 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.446 * [taylor]: Taking taylor expansion of -1 in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.447 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.447 * [taylor]: Taking taylor expansion of -1 in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.456 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 3) 1.456 * [approximate]: Taking taylor expansion of (* x (* (+ (cos x) 1.0) (cos x))) in (x) around 0 1.456 * [taylor]: Taking taylor expansion of (* x (* (+ (cos x) 1.0) (cos x))) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) (cos x)) in x 1.456 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.456 * [taylor]: Taking taylor expansion of (cos x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (cos x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (* x (* (+ (cos x) 1.0) (cos x))) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) (cos x)) in x 1.456 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.456 * [taylor]: Taking taylor expansion of (cos x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (cos x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.481 * [approximate]: Taking taylor expansion of (/ (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) x) in (x) around 0 1.481 * [taylor]: Taking taylor expansion of (/ (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) x) in x 1.481 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in x 1.481 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.481 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (/ (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) x) in x 1.482 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in x 1.482 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.502 * [approximate]: Taking taylor expansion of (* -1 (/ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) x)) in (x) around 0 1.502 * [taylor]: Taking taylor expansion of (* -1 (/ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) x)) in x 1.502 * [taylor]: Taking taylor expansion of -1 in x 1.502 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) x) in x 1.502 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 1.502 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.502 * [taylor]: Taking taylor expansion of -1 in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.503 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.503 * [taylor]: Taking taylor expansion of -1 in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of (* -1 (/ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) x)) in x 1.503 * [taylor]: Taking taylor expansion of -1 in x 1.503 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) x) in x 1.503 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 1.503 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.503 * [taylor]: Taking taylor expansion of -1 in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.504 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.504 * [taylor]: Taking taylor expansion of -1 in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of 1.0 in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.525 * * * [progress]: simplifying candidates 1.530 * [simplify]: Simplifying using # : (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (fma (- (pow (sqrt (cos x)) 3)) (pow (sqrt (cos x)) 3) (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3)))))) (fma (- (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (fma (- (pow (sqrt (cos x)) 3)) (pow (sqrt (cos x)) 3) (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (* (cos x) (cos x)) (cos x)))) (fma (- (* (cos x) (cos x))) (cos x) (* (* (cos x) (cos x)) (cos x))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 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(pow x 3)))) (* (* x (cos x)) (+ 1.0 (cos x))) (* (* x (cos x)) (+ 1.0 (cos x))) 1.661 * * * [progress]: adding candidates to table 1.966 * [progress]: [Phase 3 of 3] Extracting. 1.967 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 1.969 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.969 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 2.035 * * * [regime]: Found split indices: #