15.745 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.057 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.058 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.060 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.062 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.064 * * [simplify]: iteration 4 : 29 enodes (cost 8 ) 0.067 * * [simplify]: iteration done : 29 enodes (cost 8 ) 0.067 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.076 * * * [progress]: generating rewritten candidates 0.076 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.090 * * * [progress]: generating series expansions 0.090 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.090 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (cos x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [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 0.125 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.125 * [taylor]: Taking taylor expansion of -1 in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.125 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.136 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.136 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (cos x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (cos x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [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 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 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 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.154 * * * [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)) 0.158 * * [simplify]: iteration 0 : 116 enodes (cost 808 ) 0.177 * * [simplify]: iteration 1 : 272 enodes (cost 678 ) 0.255 * * [simplify]: iteration 2 : 870 enodes (cost 566 ) 0.868 * * [simplify]: iteration 3 : 4566 enodes (cost 526 ) 2.342 * * [simplify]: iteration done : 5001 enodes (cost 525 ) 2.342 * [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)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 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)) (pow x 2)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (cos x) 1.0) (- (* 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) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (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 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (fma (pow x 2) -1/24 (fma 1/720 (pow x 4) 1/2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (fma 1/2 (* x x) (fma 1/720 (pow x 6) (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 2.343 * * * [progress]: adding candidates to table 2.457 * * [progress]: iteration 2 / 4 2.457 * * * [progress]: picking best candidate 2.472 * * * * [pick]: Picked # 2.472 * * * [progress]: localizing error 2.480 * * * [progress]: generating rewritten candidates 2.480 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.485 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.489 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.496 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.509 * * * [progress]: generating series expansions 2.509 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.509 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.509 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.509 * [taylor]: Taking taylor expansion of (cos x) in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.509 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.509 * [taylor]: Taking taylor expansion of (cos x) in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.519 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.519 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.519 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.523 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.523 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.523 * [taylor]: Taking taylor expansion of 1.0 in x 2.523 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.523 * [taylor]: Taking taylor expansion of -1 in x 2.523 * [taylor]: Taking taylor expansion of x in x 2.523 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.523 * [taylor]: Taking taylor expansion of 1.0 in x 2.523 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.523 * [taylor]: Taking taylor expansion of -1 in x 2.523 * [taylor]: Taking taylor expansion of x in x 2.526 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.526 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.526 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.526 * [taylor]: Taking taylor expansion of (cos x) in x 2.526 * [taylor]: Taking taylor expansion of x in x 2.526 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.527 * [taylor]: Taking taylor expansion of (cos x) in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.536 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.537 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.537 * [taylor]: Taking taylor expansion of 1.0 in x 2.537 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.537 * [taylor]: Taking taylor expansion of x in x 2.537 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.537 * [taylor]: Taking taylor expansion of 1.0 in x 2.537 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.537 * [taylor]: Taking taylor expansion of x in x 2.540 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.540 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.540 * [taylor]: Taking taylor expansion of -1 in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.541 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.541 * [taylor]: Taking taylor expansion of 1.0 in x 2.541 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.541 * [taylor]: Taking taylor expansion of -1 in x 2.541 * [taylor]: Taking taylor expansion of x in x 2.544 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.545 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 2.545 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.545 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.545 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.545 * [taylor]: Taking taylor expansion of 1.0 in x 2.545 * [taylor]: Taking taylor expansion of (cos x) in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.549 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.549 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.549 * [taylor]: Taking taylor expansion of 1.0 in x 2.549 * [taylor]: Taking taylor expansion of (cos x) in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.553 * [taylor]: Taking taylor expansion of x in x 2.598 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 2.598 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.598 * [taylor]: Taking taylor expansion of x in x 2.598 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.598 * [taylor]: Taking taylor expansion of 1.0 in x 2.599 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.599 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.600 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.600 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.600 * [taylor]: Taking taylor expansion of 1.0 in x 2.600 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.614 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 2.614 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.614 * [taylor]: Taking taylor expansion of -1 in x 2.614 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.614 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.614 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.614 * [taylor]: Taking taylor expansion of -1 in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.615 * [taylor]: Taking taylor expansion of x in x 2.615 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.615 * [taylor]: Taking taylor expansion of -1 in x 2.615 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.615 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.615 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.615 * [taylor]: Taking taylor expansion of 1.0 in x 2.615 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.615 * [taylor]: Taking taylor expansion of -1 in x 2.615 * [taylor]: Taking taylor expansion of x in x 2.616 * [taylor]: Taking taylor expansion of x in x 2.633 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.634 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 2.634 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.634 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.634 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.634 * [taylor]: Taking taylor expansion of 1.0 in x 2.634 * [taylor]: Taking taylor expansion of (cos x) in x 2.634 * [taylor]: Taking taylor expansion of x in x 2.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.638 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 2.638 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 2.638 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.638 * [taylor]: Taking taylor expansion of 1.0 in x 2.638 * [taylor]: Taking taylor expansion of (cos x) in x 2.638 * [taylor]: Taking taylor expansion of x in x 2.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.686 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 2.686 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.686 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.686 * [taylor]: Taking taylor expansion of 1.0 in x 2.686 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 2.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.701 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 2.701 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.701 * [taylor]: Taking taylor expansion of -1 in x 2.701 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.701 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.701 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.702 * [taylor]: Taking taylor expansion of 1.0 in x 2.702 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.702 * [taylor]: Taking taylor expansion of -1 in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 2.703 * [taylor]: Taking taylor expansion of -1 in x 2.703 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 2.703 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 2.703 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.703 * [taylor]: Taking taylor expansion of 1.0 in x 2.703 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.703 * [taylor]: Taking taylor expansion of -1 in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.704 * [taylor]: Taking taylor expansion of x in x 2.723 * * * [progress]: simplifying candidates 2.726 * [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)) (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 (/ (sqrt (- 1.0 (cos x))) x)) (log1p (/ (sqrt (- 1.0 (cos x))) x)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (expm1 (/ (sqrt (- 1.0 (cos x))) x)) (log1p (/ (sqrt (- 1.0 (cos x))) x)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt 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(cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 2.731 * * [simplify]: iteration 0 : 160 enodes (cost 2330 ) 2.757 * * [simplify]: iteration 1 : 298 enodes (cost 1990 ) 2.828 * * [simplify]: iteration 2 : 787 enodes (cost 1792 ) 3.298 * * [simplify]: iteration 3 : 4311 enodes (cost 1714 ) 4.743 * * [simplify]: iteration done : 5000 enodes (cost 1714 ) 4.744 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (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 1.0 1.0 (* (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)) (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (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 1.0 1.0 (* (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 (/ (sqrt (- 1.0 (cos x))) x)) (log1p (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (expm1 (/ (sqrt (- 1.0 (cos x))) x)) (log1p (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (fma 1/2 (* x x) (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/2 (* x x) (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (fma 1/1440 (/ (pow x 4) (sqrt 1/2)) (sqrt 1/2)) (fma (/ (pow x 2) (sqrt 1/2)) 1/48 (* 1/2304 (/ (pow x 4) (sqrt 1/2))))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (fma 1/1440 (/ (pow x 4) (sqrt 1/2)) (sqrt 1/2)) (fma (/ (pow x 2) (sqrt 1/2)) 1/48 (* 1/2304 (/ (pow x 4) (sqrt 1/2))))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 4.745 * * * [progress]: adding candidates to table 5.078 * * [progress]: iteration 3 / 4 5.079 * * * [progress]: picking best candidate 5.098 * * * * [pick]: Picked # 5.098 * * * [progress]: localizing error 5.108 * * * [progress]: generating rewritten candidates 5.108 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.111 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 5.114 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 5.117 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.125 * * * [progress]: generating series expansions 5.125 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.125 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.125 * [taylor]: Taking taylor expansion of 1.0 in x 5.125 * [taylor]: Taking taylor expansion of (cos x) in x 5.125 * [taylor]: Taking taylor expansion of x in x 5.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.125 * [taylor]: Taking taylor expansion of 1.0 in x 5.125 * [taylor]: Taking taylor expansion of (cos x) in x 5.125 * [taylor]: Taking taylor expansion of x in x 5.136 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.136 * [taylor]: Taking taylor expansion of 1.0 in x 5.136 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.136 * [taylor]: Taking taylor expansion of x in x 5.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.136 * [taylor]: Taking taylor expansion of 1.0 in x 5.136 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.137 * [taylor]: Taking taylor expansion of x in x 5.140 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.140 * [taylor]: Taking taylor expansion of 1.0 in x 5.140 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.140 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.140 * [taylor]: Taking taylor expansion of -1 in x 5.140 * [taylor]: Taking taylor expansion of x in x 5.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.140 * [taylor]: Taking taylor expansion of 1.0 in x 5.140 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.140 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.140 * [taylor]: Taking taylor expansion of -1 in x 5.140 * [taylor]: Taking taylor expansion of x in x 5.144 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 5.144 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.144 * [taylor]: Taking taylor expansion of 1.0 in x 5.144 * [taylor]: Taking taylor expansion of (cos x) in x 5.144 * [taylor]: Taking taylor expansion of x in x 5.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.144 * [taylor]: Taking taylor expansion of 1.0 in x 5.144 * [taylor]: Taking taylor expansion of (cos x) in x 5.144 * [taylor]: Taking taylor expansion of x in x 5.154 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.154 * [taylor]: Taking taylor expansion of 1.0 in x 5.154 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.154 * [taylor]: Taking taylor expansion of x in x 5.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.154 * [taylor]: Taking taylor expansion of 1.0 in x 5.154 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.154 * [taylor]: Taking taylor expansion of x in x 5.157 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.158 * [taylor]: Taking taylor expansion of 1.0 in x 5.158 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.158 * [taylor]: Taking taylor expansion of -1 in x 5.158 * [taylor]: Taking taylor expansion of x in x 5.158 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.158 * [taylor]: Taking taylor expansion of 1.0 in x 5.158 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.158 * [taylor]: Taking taylor expansion of -1 in x 5.158 * [taylor]: Taking taylor expansion of x in x 5.161 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 5.161 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.161 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.161 * [taylor]: Taking taylor expansion of 1.0 in x 5.161 * [taylor]: Taking taylor expansion of (cos x) in x 5.161 * [taylor]: Taking taylor expansion of x in x 5.161 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.161 * [taylor]: Taking taylor expansion of 1.0 in x 5.161 * [taylor]: Taking taylor expansion of (cos x) in x 5.161 * [taylor]: Taking taylor expansion of x in x 5.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.172 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.172 * [taylor]: Taking taylor expansion of 1.0 in x 5.172 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.172 * [taylor]: Taking taylor expansion of x in x 5.172 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.172 * [taylor]: Taking taylor expansion of 1.0 in x 5.172 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.172 * [taylor]: Taking taylor expansion of x in x 5.175 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.175 * [taylor]: Taking taylor expansion of 1.0 in x 5.175 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.175 * [taylor]: Taking taylor expansion of -1 in x 5.175 * [taylor]: Taking taylor expansion of x in x 5.176 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.176 * [taylor]: Taking taylor expansion of 1.0 in x 5.176 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.176 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.176 * [taylor]: Taking taylor expansion of -1 in x 5.176 * [taylor]: Taking taylor expansion of x in x 5.179 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.179 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in (x) around 0 5.179 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 5.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 5.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 5.179 * [taylor]: Taking taylor expansion of 1/3 in x 5.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 5.179 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.179 * [taylor]: Taking taylor expansion of 1.0 in x 5.179 * [taylor]: Taking taylor expansion of (cos x) in x 5.179 * [taylor]: Taking taylor expansion of x in x 5.183 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 5.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 5.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 5.183 * [taylor]: Taking taylor expansion of 1/3 in x 5.183 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 5.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.183 * [taylor]: Taking taylor expansion of 1.0 in x 5.183 * [taylor]: Taking taylor expansion of (cos x) in x 5.183 * [taylor]: Taking taylor expansion of x in x 5.224 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in (x) around 0 5.224 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 5.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 5.224 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 5.224 * [taylor]: Taking taylor expansion of 1/3 in x 5.224 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 5.224 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.224 * [taylor]: Taking taylor expansion of 1.0 in x 5.224 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.224 * [taylor]: Taking taylor expansion of x in x 5.225 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 5.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 5.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 5.225 * [taylor]: Taking taylor expansion of 1/3 in x 5.225 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 5.225 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.225 * [taylor]: Taking taylor expansion of 1.0 in x 5.225 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.225 * [taylor]: Taking taylor expansion of x in x 5.261 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in (x) around 0 5.261 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 5.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 5.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 5.261 * [taylor]: Taking taylor expansion of 1/3 in x 5.261 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 5.261 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.261 * [taylor]: Taking taylor expansion of 1.0 in x 5.262 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.262 * [taylor]: Taking taylor expansion of -1 in x 5.262 * [taylor]: Taking taylor expansion of x in x 5.262 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 5.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 5.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 5.262 * [taylor]: Taking taylor expansion of 1/3 in x 5.262 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 5.262 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.262 * [taylor]: Taking taylor expansion of 1.0 in x 5.262 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.262 * [taylor]: Taking taylor expansion of -1 in x 5.262 * [taylor]: Taking taylor expansion of x in x 5.301 * * * [progress]: simplifying candidates 5.302 * [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)) (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)) (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 (cbrt (- 1.0 (cos x)))) (log1p (cbrt (- 1.0 (cos x)))) (log (cbrt (- 1.0 (cos x)))) (exp (cbrt (- 1.0 (cos x)))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt 1) (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt 1) (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (* (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (* 1/6480 (* (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 4)))) (* 1/36 (* (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 2)))) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 1/3) 5.307 * * [simplify]: iteration 0 : 104 enodes (cost 1488 ) 5.324 * * [simplify]: iteration 1 : 207 enodes (cost 1135 ) 5.374 * * [simplify]: iteration 2 : 549 enodes (cost 888 ) 5.613 * * [simplify]: iteration 3 : 2459 enodes (cost 754 ) 6.456 * * [simplify]: iteration done : 5000 enodes (cost 754 ) 6.457 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (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 1.0 1.0 (* (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)) (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (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 1.0 1.0 (* (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)) (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (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 1.0 1.0 (* (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 (cbrt (- 1.0 (cos x)))) (log1p (cbrt (- 1.0 (cos x)))) (log (cbrt (- 1.0 (cos x)))) (exp (cbrt (- 1.0 (cos x)))) (cbrt (pow (- 1.0 (cos x)) 2/3)) (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) 1 (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x)))) 1 (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (- 1.0 (cos x)) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (fma 1/2 (pow x 2) (fma (pow x 6) 1/720 (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/2 (pow x 2) (fma (pow x 6) 1/720 (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/2 (pow x 2) (fma (pow x 6) 1/720 (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 2/3) (pow 1/2 1/3) (* (* (pow 1/2 1/3) (pow x 2/3)) (- (* 1/6480 (pow x 4)) (* 1/36 (pow x 2))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 6.458 * * * [progress]: adding candidates to table 6.687 * * [progress]: iteration 4 / 4 6.687 * * * [progress]: picking best candidate 6.705 * * * * [pick]: Picked # 6.705 * * * [progress]: localizing error 6.722 * * * [progress]: generating rewritten candidates 6.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 6.731 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 6.734 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 6.737 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 6.744 * * * [progress]: generating series expansions 6.744 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 6.744 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.744 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.744 * [taylor]: Taking taylor expansion of 1.0 in x 6.744 * [taylor]: Taking taylor expansion of (cos x) in x 6.744 * [taylor]: Taking taylor expansion of x in x 6.744 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.744 * [taylor]: Taking taylor expansion of 1.0 in x 6.744 * [taylor]: Taking taylor expansion of (cos x) in x 6.744 * [taylor]: Taking taylor expansion of x in x 6.755 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.755 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.756 * [taylor]: Taking taylor expansion of 1.0 in x 6.756 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.756 * [taylor]: Taking taylor expansion of x in x 6.756 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.756 * [taylor]: Taking taylor expansion of 1.0 in x 6.756 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.756 * [taylor]: Taking taylor expansion of x in x 6.759 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.759 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.759 * [taylor]: Taking taylor expansion of 1.0 in x 6.759 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.759 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.759 * [taylor]: Taking taylor expansion of -1 in x 6.759 * [taylor]: Taking taylor expansion of x in x 6.760 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.760 * [taylor]: Taking taylor expansion of 1.0 in x 6.760 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.760 * [taylor]: Taking taylor expansion of -1 in x 6.760 * [taylor]: Taking taylor expansion of x in x 6.763 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 6.763 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.763 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.763 * [taylor]: Taking taylor expansion of 1.0 in x 6.763 * [taylor]: Taking taylor expansion of (cos x) in x 6.763 * [taylor]: Taking taylor expansion of x in x 6.763 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.763 * [taylor]: Taking taylor expansion of 1.0 in x 6.763 * [taylor]: Taking taylor expansion of (cos x) in x 6.763 * [taylor]: Taking taylor expansion of x in x 6.773 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.773 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.773 * [taylor]: Taking taylor expansion of 1.0 in x 6.773 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.773 * [taylor]: Taking taylor expansion of x in x 6.774 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.774 * [taylor]: Taking taylor expansion of 1.0 in x 6.774 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.774 * [taylor]: Taking taylor expansion of x in x 6.777 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.777 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.777 * [taylor]: Taking taylor expansion of 1.0 in x 6.777 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.777 * [taylor]: Taking taylor expansion of -1 in x 6.777 * [taylor]: Taking taylor expansion of x in x 6.778 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.778 * [taylor]: Taking taylor expansion of 1.0 in x 6.778 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.778 * [taylor]: Taking taylor expansion of -1 in x 6.778 * [taylor]: Taking taylor expansion of x in x 6.781 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 6.781 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.781 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.781 * [taylor]: Taking taylor expansion of 1.0 in x 6.781 * [taylor]: Taking taylor expansion of (cos x) in x 6.781 * [taylor]: Taking taylor expansion of x in x 6.781 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.781 * [taylor]: Taking taylor expansion of 1.0 in x 6.781 * [taylor]: Taking taylor expansion of (cos x) in x 6.781 * [taylor]: Taking taylor expansion of x in x 6.791 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.791 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.791 * [taylor]: Taking taylor expansion of 1.0 in x 6.791 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.791 * [taylor]: Taking taylor expansion of x in x 6.796 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.796 * [taylor]: Taking taylor expansion of 1.0 in x 6.796 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.796 * [taylor]: Taking taylor expansion of x in x 6.799 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.799 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.799 * [taylor]: Taking taylor expansion of 1.0 in x 6.799 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.799 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.799 * [taylor]: Taking taylor expansion of -1 in x 6.799 * [taylor]: Taking taylor expansion of x in x 6.799 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.800 * [taylor]: Taking taylor expansion of 1.0 in x 6.800 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.800 * [taylor]: Taking taylor expansion of -1 in x 6.800 * [taylor]: Taking taylor expansion of x in x 6.803 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 6.803 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.803 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.803 * [taylor]: Taking taylor expansion of 1.0 in x 6.803 * [taylor]: Taking taylor expansion of (cos x) in x 6.803 * [taylor]: Taking taylor expansion of x in x 6.803 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.803 * [taylor]: Taking taylor expansion of 1.0 in x 6.803 * [taylor]: Taking taylor expansion of (cos x) in x 6.803 * [taylor]: Taking taylor expansion of x in x 6.813 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.813 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.813 * [taylor]: Taking taylor expansion of 1.0 in x 6.813 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.813 * [taylor]: Taking taylor expansion of x in x 6.813 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.814 * [taylor]: Taking taylor expansion of 1.0 in x 6.814 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.814 * [taylor]: Taking taylor expansion of x in x 6.817 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.817 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.817 * [taylor]: Taking taylor expansion of 1.0 in x 6.817 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.817 * [taylor]: Taking taylor expansion of -1 in x 6.817 * [taylor]: Taking taylor expansion of x in x 6.817 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.817 * [taylor]: Taking taylor expansion of 1.0 in x 6.817 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.817 * [taylor]: Taking taylor expansion of -1 in x 6.817 * [taylor]: Taking taylor expansion of x in x 6.821 * * * [progress]: simplifying candidates 6.822 * [simplify]: Simplifying using # : (expm1 (log (exp (- 1.0 (cos x))))) (log1p (log (exp (- 1.0 (cos x))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma 1 1.0 (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp 1.0)) (log (exp (- (cos x)))) (log (exp 1.0)) (log (exp (- (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 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)) (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)) (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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 6.827 * * [simplify]: iteration 0 : 124 enodes (cost 1778 ) 6.845 * * [simplify]: iteration 1 : 206 enodes (cost 1240 ) 6.888 * * [simplify]: iteration 2 : 470 enodes (cost 947 ) 7.104 * * [simplify]: iteration 3 : 1993 enodes (cost 791 ) 7.841 * * [simplify]: iteration done : 5000 enodes (cost 791 ) 7.842 * [simplify]: Simplified to: (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 1.0 (- (cos x)) 1.0 (- (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt (cos x)) (sqrt 1.0)) 1 (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 (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (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 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (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 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (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 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (fma 1/2 (pow x 2) (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/2 (pow x 2) (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/2 (pow x 2) (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/2 (pow x 2) (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 7.843 * * * [progress]: adding candidates to table 8.130 * [progress]: [Phase 3 of 3] Extracting. 8.130 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 8.132 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.132 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 8.189 * * * [regime]: Found split indices: #