21.212 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.054 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.055 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.057 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.058 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.059 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.059 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.060 * * [progress]: iteration 1 / 4 0.060 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.095 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (cos x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (cos x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.114 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.115 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.128 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.140 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.140 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (cos x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (cos x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.150 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) 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 x in x 0.154 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.155 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.155 * [taylor]: Taking taylor expansion of -1 in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.155 * [taylor]: Taking taylor expansion of -1 in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.159 * * * [progress]: simplifying candidates 0.161 * [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) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (* x x)) (cbrt (* x x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (* x x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (* x x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (* x x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 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)))) (* (sqrt x) (sqrt x))) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) (sqrt x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* 1 1)) (/ (cbrt (- 1.0 (cos x))) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (sqrt x) (sqrt x))) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) (sqrt x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* x (* (cbrt x) (cbrt x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* x (sqrt x))) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* x 1)) (/ (cbrt (- 1.0 (cos x))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (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) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (* x x)) (cbrt (* x x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (* x x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (* x x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (* x x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* 1 1)) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* x (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* x (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* x 1)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt (* x x)) (cbrt (* x x)))) (/ (- 1.0 (cos x)) (cbrt (* x x))) (/ 1 (sqrt (* x x))) (/ (- 1.0 (cos x)) (sqrt (* x x))) (/ 1 1) (/ (- 1.0 (cos x)) (* x x)) (/ 1 (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ 1 (* (sqrt x) (sqrt x))) (/ (- 1.0 (cos x)) (* (sqrt x) (sqrt x))) (/ 1 (* 1 1)) (/ (- 1.0 (cos x)) (* x x)) (/ 1 (* (sqrt x) (sqrt x))) (/ (- 1.0 (cos x)) (* (sqrt x) (sqrt x))) (/ 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)) (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ 1 1) (/ (- 1.0 (cos x)) (* x x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (* x x)) (cbrt (* 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))) (sqrt (* x x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) (sqrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) (sqrt x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* 1 1)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) (sqrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) (sqrt x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* x (* (cbrt x) (cbrt x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* x 1)) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt (* x x)) (cbrt (* x x)))) (/ (- 1.0 (cos x)) (cbrt (* x x))) (/ 1 (sqrt (* x x))) (/ (- 1.0 (cos x)) (sqrt (* x x))) (/ 1 1) (/ (- 1.0 (cos x)) (* x x)) (/ 1 (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ 1 (* (sqrt x) (sqrt x))) (/ (- 1.0 (cos x)) (* (sqrt x) (sqrt x))) (/ 1 (* 1 1)) (/ (- 1.0 (cos x)) (* x x)) (/ 1 (* (sqrt x) (sqrt x))) (/ (- 1.0 (cos x)) (* (sqrt x) (sqrt x))) (/ 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)) (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ 1 1) (/ (- 1.0 (cos x)) (* x x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) (* (cbrt (* x x)) (cbrt (* x x)))) (/ (- 1.0 (cos x)) (sqrt (* x x))) (/ (- 1.0 (cos x)) 1) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (- 1.0 (cos x)) (* (sqrt x) (sqrt x))) (/ (- 1.0 (cos x)) (* 1 1)) (/ (- 1.0 (cos x)) (* (sqrt x) (sqrt x))) (/ (- 1.0 (cos x)) (* x (* (cbrt x) (cbrt x)))) (/ (- 1.0 (cos x)) (* x (sqrt x))) (/ (- 1.0 (cos x)) (* x 1)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (- 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)) 0.169 * * [simplify]: iteration 0 : 545 enodes (cost 1225 ) 0.178 * * [simplify]: iteration 1 : 2348 enodes (cost 1087 ) 0.220 * * [simplify]: iteration 2 : 5001 enodes (cost 1068 ) 0.230 * [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))) (/ x (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (* x x)) (cbrt (* x x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (* x x))) (/ (cbrt (- 1.0 (cos x))) (/ (fabs x) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (fabs x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (* x x)) (* (/ (cbrt (- 1.0 (cos x))) (pow (cbrt x) 4)) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (* x x)) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* x (* (cbrt x) (cbrt x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* x (sqrt x))) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (* x x)) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (* x x)) (cbrt (* x x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (* x x))) (/ (sqrt (- 1.0 (cos x))) (fabs x)) (/ (sqrt (- 1.0 (cos x))) (fabs x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* x (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* x x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt (* x x)) (cbrt (* x x)))) (/ (- 1.0 (cos x)) (cbrt (* x x))) (/ 1 (sqrt (* x x))) (/ (- 1.0 (cos x)) (fabs x)) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (/ 1 (cbrt x)) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) 1 (/ (- 1.0 (cos x)) (* x x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 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 (* (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)) (* x x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (* x x)) (cbrt (* x x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (* x x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (fabs x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (* x x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* x (* (cbrt x) (cbrt x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* x (sqrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* x x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt (* x x)) (cbrt (* x x)))) (/ (- 1.0 (cos x)) (cbrt (* x x))) (/ 1 (sqrt (* x x))) (/ (- 1.0 (cos x)) (fabs x)) 1 (/ (- 1.0 (cos x)) (* x x)) (/ (/ 1 (cbrt x)) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) 1 (/ (- 1.0 (cos x)) (* x x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 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 (* (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)) (* x x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) (* (cbrt (* x x)) (cbrt (* x x)))) (/ (- 1.0 (cos x)) (fabs x)) (- 1.0 (cos x)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) x) (- 1.0 (cos 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) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt 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)) (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)) (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)) 0.231 * * * [progress]: adding candidates to table 0.408 * * [progress]: iteration 2 / 4 0.408 * * * [progress]: picking best candidate 0.435 * * * * [pick]: Picked # 0.435 * * * [progress]: localizing error 0.444 * * * [progress]: generating rewritten candidates 0.444 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.445 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.452 * * * [progress]: generating series expansions 0.452 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.452 * [approximate]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.453 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.453 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of 1/720 in x 0.453 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.453 * [taylor]: Taking taylor expansion of 1/2 in x 0.453 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of 1/24 in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.454 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.454 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of 1/720 in x 0.454 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.454 * [taylor]: Taking taylor expansion of 1/2 in x 0.454 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.454 * [taylor]: Taking taylor expansion of 1/24 in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.461 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.461 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.461 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.461 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) 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 1/720 in x 0.461 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.461 * [taylor]: Taking taylor expansion of 1/2 in x 0.461 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.461 * [taylor]: Taking taylor expansion of 1/24 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.462 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.462 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.462 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of 1/720 in x 0.462 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.462 * [taylor]: Taking taylor expansion of 1/2 in x 0.462 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.462 * [taylor]: Taking taylor expansion of 1/24 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.478 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.478 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.478 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.478 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.478 * [taylor]: Taking taylor expansion of -1 in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of 1/720 in x 0.478 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.478 * [taylor]: Taking taylor expansion of 1/2 in x 0.478 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.478 * [taylor]: Taking taylor expansion of 1/24 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.479 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.479 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.479 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.479 * [taylor]: Taking taylor expansion of -1 in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of 1/720 in x 0.479 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.479 * [taylor]: Taking taylor expansion of 1/2 in x 0.479 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.479 * [taylor]: Taking taylor expansion of 1/24 in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.499 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.499 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of 1/24 in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of 1/24 in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.507 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of 1/24 in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of 1/24 in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.515 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.515 * [taylor]: Taking taylor expansion of 1/24 in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.516 * [taylor]: Taking taylor expansion of 1/24 in x 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.524 * * * [progress]: simplifying candidates 0.524 * [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))) (* 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)) 0.528 * * [simplify]: iteration 0 : 139 enodes (cost 196 ) 0.531 * * [simplify]: iteration 1 : 532 enodes (cost 173 ) 0.543 * * [simplify]: iteration 2 : 2581 enodes (cost 173 ) 0.622 * * [simplify]: iteration 3 : 5001 enodes (cost 172 ) 0.623 * [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))) (* 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)) 0.624 * * * [progress]: adding candidates to table 0.696 * * [progress]: iteration 3 / 4 0.696 * * * [progress]: picking best candidate 0.721 * * * * [pick]: Picked # 0.721 * * * [progress]: localizing error 0.728 * * * [progress]: generating rewritten candidates 0.728 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.732 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.752 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.784 * * * [progress]: generating series expansions 0.784 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.784 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.784 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.784 * [taylor]: Taking taylor expansion of 1.0 in x 0.784 * [taylor]: Taking taylor expansion of (cos x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.784 * [taylor]: Taking taylor expansion of 1.0 in x 0.784 * [taylor]: Taking taylor expansion of (cos x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.794 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.798 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.798 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.799 * [taylor]: Taking taylor expansion of -1 in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.802 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.802 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.802 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (cos x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.805 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (cos x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.820 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.820 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.820 * [taylor]: Taking taylor expansion of 1.0 in x 0.820 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.834 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.834 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.834 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.834 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.834 * [taylor]: Taking taylor expansion of -1 in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.834 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.834 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.834 * [taylor]: Taking taylor expansion of -1 in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.845 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.845 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.845 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.845 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.845 * [taylor]: Taking taylor expansion of 1.0 in x 0.845 * [taylor]: Taking taylor expansion of (cos x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.847 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (cos x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.865 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.865 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.865 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.865 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.877 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.877 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.877 * [taylor]: Taking taylor expansion of -1 in x 0.877 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.877 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.877 * [taylor]: Taking taylor expansion of 1.0 in x 0.877 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.877 * [taylor]: Taking taylor expansion of -1 in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.877 * [taylor]: Taking taylor expansion of -1 in x 0.877 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.877 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.877 * [taylor]: Taking taylor expansion of 1.0 in x 0.877 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.878 * [taylor]: Taking taylor expansion of -1 in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.893 * * * [progress]: simplifying candidates 0.897 * [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 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) (* 1 (- (- 1.0 (cos x)))) (* x (- x)) (* 1 1) (* x (/ x (- 1.0 (cos x)))) (* 1 (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x)))) (* x (cbrt x)) (* 1 (/ (- 1.0 (cos x)) (sqrt x))) (* x (sqrt x)) (* 1 (/ (- 1.0 (cos x)) 1)) (* x x) (* 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* x (/ x (cbrt (- 1.0 (cos x))))) (* 1 (sqrt (- 1.0 (cos x)))) (* x (/ x (sqrt (- 1.0 (cos x))))) (* 1 1) (* x (/ x (- 1.0 (cos x)))) (* 1 (+ (sqrt 1.0) (sqrt (cos x)))) (* x (/ x (- (sqrt 1.0) (sqrt (cos x))))) (* 1 1) (* x (/ x (- 1.0 (cos x)))) (* 1 (- (pow 1.0 3) (pow (cos x) 3))) (* x (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* 1 (- (* 1.0 1.0) (* (cos x) (cos x)))) (* x (* x (+ 1.0 (cos x)))) (* (- 1) (- 1.0 (cos x))) (* (- x) x) (* (- 1) (- (- 1.0 (cos x)))) (* (- x) (- x)) (* (- 1) 1) (* (- x) (/ x (- 1.0 (cos x)))) (* (- 1) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x)))) (* (- x) (cbrt x)) (* (- 1) (/ (- 1.0 (cos x)) (sqrt x))) (* (- x) (sqrt x)) (* (- 1) (/ (- 1.0 (cos x)) 1)) (* (- x) x) (* (- 1) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (- x) (/ x (cbrt (- 1.0 (cos x))))) (* (- 1) (sqrt (- 1.0 (cos x)))) (* (- x) (/ x (sqrt (- 1.0 (cos x))))) (* (- 1) 1) (* (- x) (/ x (- 1.0 (cos x)))) (* (- 1) (+ (sqrt 1.0) (sqrt (cos x)))) (* (- x) (/ x (- (sqrt 1.0) (sqrt (cos x))))) (* (- 1) 1) (* (- x) (/ x (- 1.0 (cos x)))) (* (- 1) (- (pow 1.0 3) (pow (cos x) 3))) (* (- x) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (- 1) (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (- x) (* x (+ 1.0 (cos x)))) (* 1 (- 1.0 (cos x))) (* (/ x 1) x) (* 1 (- (- 1.0 (cos x)))) (* (/ x 1) (- x)) (* 1 1) (* (/ x 1) (/ x (- 1.0 (cos x)))) (* 1 (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x)))) (* (/ x 1) (cbrt x)) (* 1 (/ (- 1.0 (cos x)) (sqrt x))) (* (/ x 1) (sqrt x)) (* 1 (/ (- 1.0 (cos x)) 1)) (* (/ x 1) x) (* 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (/ x 1) (/ x (cbrt (- 1.0 (cos x))))) (* 1 (sqrt (- 1.0 (cos x)))) (* (/ x 1) (/ x (sqrt (- 1.0 (cos x))))) (* 1 1) (* (/ x 1) (/ x (- 1.0 (cos x)))) (* 1 (+ (sqrt 1.0) (sqrt (cos x)))) (* (/ x 1) (/ x (- (sqrt 1.0) (sqrt (cos x))))) (* 1 1) (* (/ x 1) (/ x (- 1.0 (cos x)))) (* 1 (- (pow 1.0 3) (pow (cos x) 3))) (* (/ x 1) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* 1 (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (/ x 1) (* x (+ 1.0 (cos x)))) (* (/ 1 (* (cbrt x) (cbrt x))) (- 1.0 (cos x))) (* (cbrt x) x) (* (/ 1 (* (cbrt x) (cbrt x))) (- (- 1.0 (cos x)))) (* (cbrt x) (- x)) (* (/ 1 (* (cbrt x) (cbrt x))) 1) (* (cbrt x) (/ x (- 1.0 (cos x)))) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt x)) (* (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x))) (* (cbrt x) (sqrt x)) (* (/ 1 (* (cbrt x) 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(- 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) (- (pow 1.0 3) (pow (cos x) 3)) (* x (* x (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) (* (cbrt 1) (* (cbrt 1) (- 1.0 (cos x)))) (* (/ x (cbrt 1)) x) (* (* (cbrt 1) (cbrt 1)) (- (- 1.0 (cos x)))) (* (/ x (cbrt 1)) (- x)) (* (cbrt 1) (cbrt 1)) (* (/ x (cbrt 1)) (/ x (- 1.0 (cos x)))) (* (* (cbrt 1) (cbrt 1)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x)))) (* (/ x (cbrt 1)) (cbrt x)) (* (* (cbrt 1) (cbrt 1)) (/ (- 1.0 (cos x)) (sqrt x))) (* (/ x (cbrt 1)) (sqrt x)) (* (cbrt 1) (* (cbrt 1) (- 1.0 (cos x)))) (* (/ x (cbrt 1)) x) (* (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (/ x (cbrt 1)) (/ x (cbrt (- 1.0 (cos x))))) (* (* (cbrt 1) (cbrt 1)) (sqrt (- 1.0 (cos x)))) (* (/ x (cbrt 1)) (/ x (sqrt (- 1.0 (cos x))))) (* (cbrt 1) (cbrt 1)) (* (/ x (cbrt 1)) (/ x (- 1.0 (cos x)))) (* (* (cbrt 1) (cbrt 1)) (+ (sqrt 1.0) (sqrt (cos x)))) (* (/ x (cbrt 1)) (/ x (- (sqrt 1.0) (sqrt (cos x))))) (* (cbrt 1) (cbrt 1)) (* (/ x (cbrt 1)) (/ x (- 1.0 (cos x)))) (* (* (cbrt 1) (cbrt 1)) (- (pow 1.0 3) (pow (cos x) 3))) (* (* (/ x (cbrt 1)) x) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (* (cbrt 1) (cbrt 1)) (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (/ x (cbrt 1)) (* x (+ 1.0 (cos x)))) (- 1.0 (cos x)) (pow x 2) (- (- 1.0 (cos x))) (* (- x) x) 1 (* (/ x (- 1.0 (cos x))) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (* (cbrt x) x) (/ (- 1.0 (cos x)) (sqrt x)) (* (sqrt x) x) (- 1.0 (cos x)) (pow x 2) (* (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) (- (pow 1.0 3) (pow (cos x) 3)) (* x (* x (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))) (* (- x) x) 1 (* (/ x (- 1.0 (cos x))) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (* (cbrt x) x) (/ (- 1.0 (cos x)) (sqrt x)) (* (sqrt x) x) (- 1.0 (cos x)) (pow x 2) (* (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) (- (pow 1.0 3) (pow (cos x) 3)) (* x (* x (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) (* (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)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) x) (/ (sqrt (/ (- 1.0 (cos x)) 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))) x) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt 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)) (* (/ (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)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) x) (- (/ (- 1.0 (cos x)) x)) (/ 1 x) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (- 1.0 (cos x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ 1 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)) (/ (- 1.0 (cos x)) x) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (- 1.0 (cos x)) x) (* (* (cbrt 1) (cbrt 1)) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) 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))) (sqrt x)) (* (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))) (* x (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* x (+ 1.0 (cos x))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (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 x 1/2 (- (* 1/720 (pow x 5)) (* 1/24 (pow x 3)))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 0.944 * * * [progress]: adding candidates to table 1.223 * * [progress]: iteration 4 / 4 1.223 * * * [progress]: picking best candidate 1.245 * * * * [pick]: Picked # 1.245 * * * [progress]: localizing error 1.256 * * * [progress]: generating rewritten candidates 1.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.260 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.268 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.272 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.314 * * * [progress]: generating series expansions 1.314 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.314 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.314 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (cos x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (cos x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.325 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.325 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.329 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.329 * [taylor]: Taking taylor expansion of -1 in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.330 * [taylor]: Taking taylor expansion of -1 in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.333 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.333 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.333 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.333 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (cos x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.342 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (cos x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.365 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.365 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.365 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.365 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.366 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.388 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.388 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.388 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.388 * [taylor]: Taking taylor expansion of -1 in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.389 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.389 * [taylor]: Taking taylor expansion of -1 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.411 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.411 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.411 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of (cos x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of (cos x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.427 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.431 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.431 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.431 * [taylor]: Taking taylor expansion of -1 in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.432 * [taylor]: Taking taylor expansion of -1 in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.435 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.435 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.435 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.435 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (cos x) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.438 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.438 * [taylor]: Taking taylor expansion of (cos x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.454 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.454 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.454 * [taylor]: Taking taylor expansion of 1.0 in x 1.454 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.454 * [taylor]: Taking taylor expansion of 1.0 in x 1.454 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.467 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.467 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.467 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.468 * [taylor]: Taking taylor expansion of -1 in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.468 * [taylor]: Taking taylor expansion of -1 in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.478 * * * [progress]: simplifying candidates 1.483 * [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 (- (* 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x)) (- 1.0 (cos x))) x) (/ (* (/ (cbrt 1) x) (- 1.0 (cos x))) x) (/ (* (/ 1 (cbrt x)) (- 1.0 (cos x))) x) (* (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (* (/ 1 (cbrt x)) (- 1.0 (cos x))) x) (* (/ (/ 1 x) (sqrt x)) (- 1.0 (cos 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)) (/ 1 x) (/ (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) x) (* (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 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)) (/ (- 1.0 (cos x)) x) (/ (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) x) (* (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (* (cbrt 1) (- 1.0 (cos x)))) x) (/ (- 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 (log x) 2 (- (log 1/2) (fma 1/12 (pow x 2) (* 1/1440 (pow x 4))))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (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)) 1.542 * * * [progress]: adding candidates to table 2.021 * [progress]: [Phase 3 of 3] Extracting. 2.021 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.024 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.024 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.079 * * * [regime]: Found split indices: #