16.967 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.063 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.064 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.066 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.067 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.068 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.068 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.069 * * [progress]: iteration 1 / 4 0.069 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.077 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.084 * * * * [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 0.109 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 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 0.109 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [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 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [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 0.137 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.137 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (cos x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (cos x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.147 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [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 0.148 * [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 x in x 0.151 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.151 * [taylor]: Taking taylor expansion of -1 in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.151 * [taylor]: Taking taylor expansion of -1 in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.155 * * * [progress]: simplifying candidates 0.155 * [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)) 0.160 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.165 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.185 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.187 * [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)) 0.187 * * * [progress]: adding candidates to table 0.292 * * [progress]: iteration 2 / 4 0.292 * * * [progress]: picking best candidate 0.308 * * * * [pick]: Picked # 0.360 * * * [progress]: localizing error 0.370 * * * [progress]: generating rewritten candidates 0.370 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.371 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.377 * * * [progress]: generating series expansions 0.377 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.379 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.379 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 1/720 in x 0.379 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.379 * [taylor]: Taking taylor expansion of 1/2 in x 0.379 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of 1/24 in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.379 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.379 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 1/720 in x 0.379 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.379 * [taylor]: Taking taylor expansion of 1/2 in x 0.379 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of 1/24 in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.386 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.386 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.386 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.386 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 1/720 in x 0.386 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.386 * [taylor]: Taking taylor expansion of 1/2 in x 0.386 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.386 * [taylor]: Taking taylor expansion of 1/24 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.387 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.387 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.387 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) 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 1/720 in x 0.387 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.387 * [taylor]: Taking taylor expansion of 1/2 in x 0.387 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.387 * [taylor]: Taking taylor expansion of 1/24 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.402 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.402 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.402 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.402 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of 1/720 in x 0.403 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.403 * [taylor]: Taking taylor expansion of 1/2 in x 0.403 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.403 * [taylor]: Taking taylor expansion of 1/24 in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.403 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.404 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.404 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of 1/720 in x 0.404 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.404 * [taylor]: Taking taylor expansion of 1/2 in x 0.404 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.404 * [taylor]: Taking taylor expansion of 1/24 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.425 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.425 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of 1/24 in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of 1/24 in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.433 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of 1/24 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of 1/24 in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.441 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of 1/24 in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of 1/24 in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.449 * * * [progress]: simplifying candidates 0.449 * [simplify]: Simplifying using # : (expm1 (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (log1p (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (pow x 4) 1/720) (log (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (exp (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (* (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (expm1 (* 1/24 (pow x 2))) (log1p (* 1/24 (pow x 2))) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.453 * * [simplify]: iteration 0 : 139 enodes (cost 194 ) 0.456 * * [simplify]: iteration 1 : 532 enodes (cost 171 ) 0.469 * * [simplify]: iteration 2 : 2601 enodes (cost 171 ) 0.553 * * [simplify]: iteration 3 : 5001 enodes (cost 170 ) 0.554 * [simplify]: Simplified to: (expm1 (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (log1p (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (pow x 4) 1/720) (log (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (exp (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (pow (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) 3) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (expm1 (* 1/24 (pow x 2))) (log1p (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (pow (* 1/24 (pow x 2)) 3) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (pow (* 1/24 (pow x 2)) 3) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (/ (pow (cbrt x) 4) 1) 1/24) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.554 * * * [progress]: adding candidates to table 0.633 * * [progress]: iteration 3 / 4 0.633 * * * [progress]: picking best candidate 0.647 * * * * [pick]: Picked # 0.647 * * * [progress]: localizing error 0.653 * * * [progress]: generating rewritten candidates 0.653 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.658 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.668 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.683 * * * [progress]: generating series expansions 0.683 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.683 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (cos x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (cos x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.694 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.697 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.698 * [taylor]: Taking taylor expansion of -1 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.701 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.701 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [taylor]: Taking taylor expansion of (cos x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.704 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (cos x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.716 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.727 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.727 * [taylor]: Taking taylor expansion of -1 in x 0.727 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.727 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.727 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.727 * [taylor]: Taking taylor expansion of -1 in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.727 * [taylor]: Taking taylor expansion of -1 in x 0.727 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.728 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.728 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.728 * [taylor]: Taking taylor expansion of -1 in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.747 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.747 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (cos x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.750 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (cos x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.765 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.765 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.765 * [taylor]: Taking taylor expansion of 1.0 in x 0.765 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.765 * [taylor]: Taking taylor expansion of 1.0 in x 0.765 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.777 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.777 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.777 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.777 * [taylor]: Taking taylor expansion of -1 in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.778 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.778 * [taylor]: Taking taylor expansion of 1.0 in x 0.778 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.778 * [taylor]: Taking taylor expansion of -1 in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.788 * * * [progress]: simplifying candidates 0.790 * [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 (/ (/ (- 1.0 (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)) x)) (log 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)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos 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)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt 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(cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* 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)) 0.798 * * [simplify]: iteration 0 : 592 enodes (cost 1453 ) 0.808 * * [simplify]: iteration 1 : 2212 enodes (cost 1292 ) 0.839 * * [simplify]: iteration 2 : 5001 enodes (cost 1283 ) 0.847 * [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 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1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (pow x 2) (pow x 2) (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)) 0.848 * * * [progress]: adding candidates to table 1.070 * * [progress]: iteration 4 / 4 1.070 * * * [progress]: picking best candidate 1.086 * * * * [pick]: Picked # 1.086 * * * [progress]: localizing error 1.094 * * * [progress]: generating rewritten candidates 1.094 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.111 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.115 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.163 * * * [progress]: generating series expansions 1.163 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.163 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 1.163 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 1.163 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.164 * [taylor]: Taking taylor expansion of (cos x) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 1.164 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.164 * [taylor]: Taking taylor expansion of 1.0 in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.165 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.165 * [taylor]: Taking taylor expansion of (cos x) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.186 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 1.186 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.186 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.186 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.186 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.186 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.202 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 1.202 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.202 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.202 * [taylor]: Taking taylor expansion of -1 in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.208 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.208 * [taylor]: Taking taylor expansion of -1 in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.209 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.225 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.225 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 1.225 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.225 * [taylor]: Taking taylor expansion of (cos x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.225 * [taylor]: Taking taylor expansion of (cos x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.231 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 1.231 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.239 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 1.239 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 1.239 * [taylor]: Taking taylor expansion of -1 in x 1.239 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.239 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.239 * [taylor]: Taking taylor expansion of -1 in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 1.239 * [taylor]: Taking taylor expansion of -1 in x 1.239 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.239 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.239 * [taylor]: Taking taylor expansion of -1 in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.254 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.254 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 1.254 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 1.254 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 1.254 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.254 * [taylor]: Taking taylor expansion of (cos x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 1.260 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 1.260 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.260 * [taylor]: Taking taylor expansion of 1.0 in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.260 * [taylor]: Taking taylor expansion of (cos x) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.284 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 1.284 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.284 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.284 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.317 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 1.317 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 1.318 * [taylor]: Taking taylor expansion of -1 in x 1.318 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 1.318 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.318 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.318 * [taylor]: Taking taylor expansion of -1 in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 1.318 * [taylor]: Taking taylor expansion of -1 in x 1.318 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 1.318 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.318 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.318 * [taylor]: Taking taylor expansion of -1 in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.351 * * * [progress]: simplifying candidates 1.356 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x)))))) (fma (- (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x))))) (fma (- (sqrt (/ (cos x) x))) (sqrt (/ (cos x) x)) (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt (cos x)) (cbrt x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (* (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x))))) (fma (- (/ (cbrt (cos x)) (sqrt x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (* (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) x) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1)))) (fma (- (/ (cbrt (cos x)) x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (* (/ (cbrt (cos x)) x) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt (cos x)) (cbrt x))) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (* (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))))) (fma (- (/ (sqrt (cos x)) (sqrt x))) (/ (sqrt (cos x)) (sqrt x)) (* (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (sqrt (cos x)) x) (/ (sqrt (cos x)) 1)))) (fma (- (/ (sqrt (cos x)) x)) (/ (sqrt (cos x)) 1) (* (/ (sqrt (cos x)) x) (/ (sqrt (cos x)) 1))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cos x) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ (cos x) (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ (cos x) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cos x) (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ (cos x) (sqrt x))) (/ 1 (sqrt x)) (* (/ (cos x) (sqrt x)) (/ 1 (sqrt x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cos x) x) (/ 1 1)))) (fma (- (/ (cos x) x)) (/ 1 1) (* (/ (cos x) x) (/ 1 1))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cos x) x) 1))) (fma (- (/ (cos x) x)) 1 (* (/ (cos x) x) 1)) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ 1 x) (cos x)))) (fma (- (/ 1 x)) (cos x) (* (/ 1 x) (cos x))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x)))))) (fma (- (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x))))) (fma (- (sqrt (/ (cos x) x))) (sqrt (/ (cos x) x)) (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt (cos x)) (cbrt x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (* (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x))))) (fma (- (/ (cbrt (cos x)) (sqrt x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (* (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) x) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1)))) (fma (- (/ (cbrt (cos x)) x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (* (/ (cbrt (cos x)) x) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt (cos x)) (cbrt x))) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (* (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))))) (fma (- (/ (sqrt (cos x)) (sqrt x))) (/ (sqrt (cos x)) (sqrt x)) (* (/ (sqrt (cos 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1 (/ (- 1.0 (cos x)) (pow x 2)) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 x) (* (/ x (- 1.0 (cos x))) x) (/ (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (/ x (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ x (- 1.0 (cos x))) x) (/ x (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x)))) (/ x (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (* (/ x (- 1.0 (cos x))) (cbrt x)) (* (/ x (- 1.0 (cos x))) (sqrt x)) (* (/ x (- 1.0 (cos x))) x) (* (/ x (- 1.0 (cos x))) x) (/ x (- 1.0 (cos x))) (pow x 2) (pow x 3) (* (+ (* (/ (cos x) x) (+ (/ (cos x) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x))) x) (* x (+ (/ 1.0 x) (/ (cos x) 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 3) 1/24 (- (/ 1 x) (* 1/2 x))) (/ (cos x) x) (/ (cos x) 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)) 1.465 * * * [progress]: adding candidates to table 1.767 * [progress]: [Phase 3 of 3] Extracting. 1.767 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.768 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.768 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.817 * * * [regime]: Found split indices: #