18.754 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.049 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.050 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.052 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.054 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.057 * * [simplify]: iteration 4 : 29 enodes (cost 8 ) 0.060 * * [simplify]: iteration done : 29 enodes (cost 8 ) 0.060 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [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) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (cos x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.107 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.121 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.121 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.131 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.141 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.145 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [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 -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.149 * * * [progress]: simplifying candidates 0.150 * [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)) 0.153 * * [simplify]: iteration 0 : 116 enodes (cost 808 ) 0.178 * * [simplify]: iteration 1 : 276 enodes (cost 686 ) 0.272 * * [simplify]: iteration 2 : 835 enodes (cost 566 ) 0.979 * * [simplify]: iteration 3 : 3656 enodes (cost 526 ) 2.320 * * [simplify]: iteration done : 5000 enodes (cost 525 ) 2.321 * [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) (- (pow x 2)) (/ 1.0 (pow x 2)) (/ (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) (/ 1 (pow x 2)) (/ (pow x 2) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (pow x 2) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (pow x 2) (- 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))) (+ 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 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 (pow x 2) (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 2.321 * * * [progress]: adding candidates to table 2.440 * * [progress]: iteration 2 / 4 2.440 * * * [progress]: picking best candidate 2.463 * * * * [pick]: Picked # 2.463 * * * [progress]: localizing error 2.473 * * * [progress]: generating rewritten candidates 2.473 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.477 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.480 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.484 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.489 * * * [progress]: generating series expansions 2.489 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.490 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.490 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.490 * [taylor]: Taking taylor expansion of 1.0 in x 2.490 * [taylor]: Taking taylor expansion of (cos x) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.490 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.490 * [taylor]: Taking taylor expansion of 1.0 in x 2.490 * [taylor]: Taking taylor expansion of (cos x) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.501 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.501 * [taylor]: Taking taylor expansion of 1.0 in x 2.501 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.501 * [taylor]: Taking taylor expansion of 1.0 in x 2.501 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.505 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.505 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.505 * [taylor]: Taking taylor expansion of 1.0 in x 2.505 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.505 * [taylor]: Taking taylor expansion of -1 in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.505 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.505 * [taylor]: Taking taylor expansion of 1.0 in x 2.505 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.505 * [taylor]: Taking taylor expansion of -1 in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.509 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 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 2.520 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.520 * [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 2.524 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.524 * [taylor]: Taking taylor expansion of -1 in x 2.524 * [taylor]: Taking taylor expansion of x in x 2.530 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.530 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.530 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of (cos x) in x 2.530 * [taylor]: Taking taylor expansion of x in x 2.530 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [taylor]: Taking taylor expansion of (cos x) in x 2.530 * [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 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 x in x 2.544 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.544 * [taylor]: Taking taylor expansion of -1 in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.545 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.545 * [taylor]: Taking taylor expansion of 1.0 in x 2.545 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.545 * [taylor]: Taking taylor expansion of -1 in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.548 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.548 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in (x) around 0 2.548 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 2.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 2.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 2.548 * [taylor]: Taking taylor expansion of 1/3 in x 2.548 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.548 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.548 * [taylor]: Taking taylor expansion of 1.0 in x 2.548 * [taylor]: Taking taylor expansion of (cos x) in x 2.548 * [taylor]: Taking taylor expansion of x in x 2.552 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 2.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 2.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 2.552 * [taylor]: Taking taylor expansion of 1/3 in x 2.552 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.552 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.552 * [taylor]: Taking taylor expansion of 1.0 in x 2.552 * [taylor]: Taking taylor expansion of (cos x) in x 2.552 * [taylor]: Taking taylor expansion of x in x 2.588 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in (x) around 0 2.588 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 2.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 2.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 2.588 * [taylor]: Taking taylor expansion of 1/3 in x 2.588 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.588 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.588 * [taylor]: Taking taylor expansion of 1.0 in x 2.588 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 2.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 2.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 2.589 * [taylor]: Taking taylor expansion of 1/3 in x 2.589 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.589 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.628 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in (x) around 0 2.628 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 2.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 2.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 2.629 * [taylor]: Taking taylor expansion of 1/3 in x 2.629 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.629 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.629 * [taylor]: Taking taylor expansion of 1.0 in x 2.629 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.629 * [taylor]: Taking taylor expansion of -1 in x 2.629 * [taylor]: Taking taylor expansion of x in x 2.629 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 2.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 2.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 2.629 * [taylor]: Taking taylor expansion of 1/3 in x 2.629 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.629 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.629 * [taylor]: Taking taylor expansion of 1.0 in x 2.629 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.629 * [taylor]: Taking taylor expansion of -1 in x 2.629 * [taylor]: Taking taylor expansion of x in x 2.666 * * * [progress]: simplifying candidates 2.668 * [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) 2.672 * * [simplify]: iteration 0 : 104 enodes (cost 1488 ) 2.695 * * [simplify]: iteration 1 : 211 enodes (cost 1135 ) 2.751 * * [simplify]: iteration 2 : 520 enodes (cost 888 ) 2.973 * * [simplify]: iteration 3 : 1707 enodes (cost 754 ) 3.696 * * [simplify]: iteration done : 5001 enodes (cost 754 ) 3.696 * [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 (* -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 (pow x 2/3) (pow 1/2 1/3) (* (* (pow x 2/3) (pow 1/2 1/3)) (- (* 1/6480 (pow x 4)) (* 1/36 (pow x 2))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 3.697 * * * [progress]: adding candidates to table 3.928 * * [progress]: iteration 3 / 4 3.928 * * * [progress]: picking best candidate 3.953 * * * * [pick]: Picked # 3.953 * * * [progress]: localizing error 3.968 * * * [progress]: generating rewritten candidates 3.968 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1) 3.971 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 3.975 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 3.979 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 3.986 * * * [progress]: generating series expansions 3.986 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1) 3.986 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.986 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.986 * [taylor]: Taking taylor expansion of 1.0 in x 3.986 * [taylor]: Taking taylor expansion of (cos x) in x 3.986 * [taylor]: Taking taylor expansion of x in x 3.986 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.986 * [taylor]: Taking taylor expansion of 1.0 in x 3.986 * [taylor]: Taking taylor expansion of (cos x) in x 3.986 * [taylor]: Taking taylor expansion of x in x 3.997 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.997 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.997 * [taylor]: Taking taylor expansion of 1.0 in x 3.997 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.997 * [taylor]: Taking taylor expansion of x in x 3.997 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.997 * [taylor]: Taking taylor expansion of 1.0 in x 3.997 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.997 * [taylor]: Taking taylor expansion of x in x 4.001 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.001 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.001 * [taylor]: Taking taylor expansion of 1.0 in x 4.001 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.001 * [taylor]: Taking taylor expansion of -1 in x 4.001 * [taylor]: Taking taylor expansion of x in x 4.001 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.001 * [taylor]: Taking taylor expansion of 1.0 in x 4.001 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.001 * [taylor]: Taking taylor expansion of -1 in x 4.001 * [taylor]: Taking taylor expansion of x in x 4.008 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 4.008 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.008 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.008 * [taylor]: Taking taylor expansion of 1.0 in x 4.008 * [taylor]: Taking taylor expansion of (cos x) in x 4.008 * [taylor]: Taking taylor expansion of x in x 4.008 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.008 * [taylor]: Taking taylor expansion of 1.0 in x 4.008 * [taylor]: Taking taylor expansion of (cos x) in x 4.008 * [taylor]: Taking taylor expansion of x in x 4.018 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.018 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.018 * [taylor]: Taking taylor expansion of 1.0 in x 4.019 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.019 * [taylor]: Taking taylor expansion of x in x 4.019 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.019 * [taylor]: Taking taylor expansion of 1.0 in x 4.019 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.019 * [taylor]: Taking taylor expansion of x in x 4.022 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.022 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.022 * [taylor]: Taking taylor expansion of 1.0 in x 4.023 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.023 * [taylor]: Taking taylor expansion of -1 in x 4.023 * [taylor]: Taking taylor expansion of x in x 4.023 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.023 * [taylor]: Taking taylor expansion of 1.0 in x 4.023 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.023 * [taylor]: Taking taylor expansion of -1 in x 4.023 * [taylor]: Taking taylor expansion of x in x 4.026 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 4.026 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.026 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.026 * [taylor]: Taking taylor expansion of 1.0 in x 4.026 * [taylor]: Taking taylor expansion of (cos x) in x 4.026 * [taylor]: Taking taylor expansion of x in x 4.026 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.026 * [taylor]: Taking taylor expansion of 1.0 in x 4.026 * [taylor]: Taking taylor expansion of (cos x) in x 4.026 * [taylor]: Taking taylor expansion of x in x 4.037 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.037 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.037 * [taylor]: Taking taylor expansion of 1.0 in x 4.037 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.037 * [taylor]: Taking taylor expansion of x in x 4.037 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.037 * [taylor]: Taking taylor expansion of 1.0 in x 4.037 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.037 * [taylor]: Taking taylor expansion of x in x 4.040 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.040 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.040 * [taylor]: Taking taylor expansion of 1.0 in x 4.040 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.041 * [taylor]: Taking taylor expansion of -1 in x 4.041 * [taylor]: Taking taylor expansion of x in x 4.041 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.041 * [taylor]: Taking taylor expansion of 1.0 in x 4.041 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.041 * [taylor]: Taking taylor expansion of -1 in x 4.041 * [taylor]: Taking taylor expansion of x in x 4.044 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 4.044 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.044 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.044 * [taylor]: Taking taylor expansion of 1.0 in x 4.044 * [taylor]: Taking taylor expansion of (cos x) in x 4.044 * [taylor]: Taking taylor expansion of x in x 4.044 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.044 * [taylor]: Taking taylor expansion of 1.0 in x 4.044 * [taylor]: Taking taylor expansion of (cos x) in x 4.044 * [taylor]: Taking taylor expansion of x in x 4.055 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.055 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.055 * [taylor]: Taking taylor expansion of 1.0 in x 4.055 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.055 * [taylor]: Taking taylor expansion of x in x 4.055 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.055 * [taylor]: Taking taylor expansion of 1.0 in x 4.055 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.055 * [taylor]: Taking taylor expansion of x in x 4.059 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.059 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.059 * [taylor]: Taking taylor expansion of 1.0 in x 4.059 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.059 * [taylor]: Taking taylor expansion of -1 in x 4.059 * [taylor]: Taking taylor expansion of x in x 4.059 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.059 * [taylor]: Taking taylor expansion of 1.0 in x 4.059 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.059 * [taylor]: Taking taylor expansion of -1 in x 4.059 * [taylor]: Taking taylor expansion of x in x 4.063 * * * [progress]: simplifying candidates 4.065 * [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)) (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)) 4.069 * * [simplify]: iteration 0 : 71 enodes (cost 1684 ) 4.086 * * [simplify]: iteration 1 : 148 enodes (cost 1228 ) 4.124 * * [simplify]: iteration 2 : 358 enodes (cost 940 ) 4.299 * * [simplify]: iteration 3 : 1201 enodes (cost 784 ) 6.022 * * [simplify]: iteration done : 5000 enodes (cost 748 ) 6.022 * [simplify]: Simplified to: (- 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)) 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)) (- 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)) 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)) (- 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)) 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)) (- 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)) 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)) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 6.023 * * * [progress]: adding candidates to table 6.317 * * [progress]: iteration 4 / 4 6.317 * * * [progress]: picking best candidate 6.344 * * * * [pick]: Picked # 6.344 * * * [progress]: localizing error 6.363 * * * [progress]: generating rewritten candidates 6.363 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1) 6.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 6.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 6.374 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 1) 6.384 * * * [progress]: generating series expansions 6.384 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1) 6.384 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.384 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.384 * [taylor]: Taking taylor expansion of 1.0 in x 6.384 * [taylor]: Taking taylor expansion of (cos x) in x 6.384 * [taylor]: Taking taylor expansion of x in x 6.384 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.384 * [taylor]: Taking taylor expansion of 1.0 in x 6.384 * [taylor]: Taking taylor expansion of (cos x) in x 6.384 * [taylor]: Taking taylor expansion of x in x 6.395 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.395 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.395 * [taylor]: Taking taylor expansion of 1.0 in x 6.395 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.395 * [taylor]: Taking taylor expansion of x in x 6.396 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.396 * [taylor]: Taking taylor expansion of 1.0 in x 6.396 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.396 * [taylor]: Taking taylor expansion of x in x 6.399 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.399 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.399 * [taylor]: Taking taylor expansion of 1.0 in x 6.399 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.399 * [taylor]: Taking taylor expansion of -1 in x 6.399 * [taylor]: Taking taylor expansion of x in x 6.399 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.399 * [taylor]: Taking taylor expansion of 1.0 in x 6.400 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.400 * [taylor]: Taking taylor expansion of -1 in x 6.400 * [taylor]: Taking taylor expansion of x in x 6.403 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 6.403 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.403 * [taylor]: Taking taylor expansion of 1.0 in x 6.403 * [taylor]: Taking taylor expansion of (cos x) in x 6.403 * [taylor]: Taking taylor expansion of x in x 6.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.403 * [taylor]: Taking taylor expansion of 1.0 in x 6.403 * [taylor]: Taking taylor expansion of (cos x) in x 6.403 * [taylor]: Taking taylor expansion of x in x 6.413 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.413 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.413 * [taylor]: Taking taylor expansion of 1.0 in x 6.413 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.413 * [taylor]: Taking taylor expansion of x in x 6.414 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.414 * [taylor]: Taking taylor expansion of 1.0 in x 6.414 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.414 * [taylor]: Taking taylor expansion of x in x 6.417 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.417 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.417 * [taylor]: Taking taylor expansion of 1.0 in x 6.417 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.417 * [taylor]: Taking taylor expansion of -1 in x 6.417 * [taylor]: Taking taylor expansion of x in x 6.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.418 * [taylor]: Taking taylor expansion of 1.0 in x 6.418 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.418 * [taylor]: Taking taylor expansion of -1 in x 6.418 * [taylor]: Taking taylor expansion of x in x 6.421 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 6.421 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.421 * [taylor]: Taking taylor expansion of 1.0 in x 6.421 * [taylor]: Taking taylor expansion of (cos x) in x 6.421 * [taylor]: Taking taylor expansion of x in x 6.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.421 * [taylor]: Taking taylor expansion of 1.0 in x 6.421 * [taylor]: Taking taylor expansion of (cos x) in x 6.421 * [taylor]: Taking taylor expansion of x in x 6.432 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.432 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.432 * [taylor]: Taking taylor expansion of 1.0 in x 6.432 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.432 * [taylor]: Taking taylor expansion of x in x 6.433 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.433 * [taylor]: Taking taylor expansion of 1.0 in x 6.433 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.433 * [taylor]: Taking taylor expansion of x in x 6.436 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.436 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.436 * [taylor]: Taking taylor expansion of 1.0 in x 6.436 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.436 * [taylor]: Taking taylor expansion of -1 in x 6.436 * [taylor]: Taking taylor expansion of x in x 6.437 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.437 * [taylor]: Taking taylor expansion of 1.0 in x 6.437 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.437 * [taylor]: Taking taylor expansion of -1 in x 6.437 * [taylor]: Taking taylor expansion of x in x 6.440 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 1) 6.440 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.440 * [taylor]: Taking taylor expansion of 1.0 in x 6.440 * [taylor]: Taking taylor expansion of (cos x) in x 6.440 * [taylor]: Taking taylor expansion of x in x 6.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.440 * [taylor]: Taking taylor expansion of 1.0 in x 6.440 * [taylor]: Taking taylor expansion of (cos x) in x 6.440 * [taylor]: Taking taylor expansion of x in x 6.450 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.450 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.451 * [taylor]: Taking taylor expansion of 1.0 in x 6.451 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.451 * [taylor]: Taking taylor expansion of x in x 6.451 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.451 * [taylor]: Taking taylor expansion of 1.0 in x 6.451 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.451 * [taylor]: Taking taylor expansion of x in x 6.454 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.454 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.454 * [taylor]: Taking taylor expansion of 1.0 in x 6.454 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.454 * [taylor]: Taking taylor expansion of -1 in x 6.454 * [taylor]: Taking taylor expansion of x in x 6.455 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.455 * [taylor]: Taking taylor expansion of 1.0 in x 6.455 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.455 * [taylor]: Taking taylor expansion of -1 in x 6.455 * [taylor]: Taking taylor expansion of x in x 6.458 * * * [progress]: simplifying candidates 6.460 * [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)) (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)) 6.467 * * [simplify]: iteration 0 : 71 enodes (cost 1684 ) 6.481 * * [simplify]: iteration 1 : 148 enodes (cost 1228 ) 6.519 * * [simplify]: iteration 2 : 358 enodes (cost 940 ) 6.698 * * [simplify]: iteration 3 : 1201 enodes (cost 784 ) 8.432 * * [simplify]: iteration done : 5000 enodes (cost 748 ) 8.433 * [simplify]: Simplified to: (- 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)) 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)) (- 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)) 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)) (- 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)) 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)) (- 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)) 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)) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 8.434 * * * [progress]: adding candidates to table 8.762 * [progress]: [Phase 3 of 3] Extracting. 8.762 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 8.767 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.767 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 8.826 * * * [regime]: Found split indices: #