9.366 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [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)) 0.050 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.052 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.053 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.055 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.056 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.056 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.072 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.076 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (cos x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (cos x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.079 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.079 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.080 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.082 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (cos x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (cos x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.084 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.084 * [taylor]: Taking taylor expansion of -1 in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.084 * [taylor]: Taking taylor expansion of -1 in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * * * [progress]: simplifying candidates 0.085 * [simplify]: Simplifying using # : (- (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))) (neg (- 1.0 (cos x))) (neg (* 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))) (/ (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)))) (neg (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)) (neg (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)) 0.089 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.093 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.105 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.144 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.146 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* 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))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 1.0 (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)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (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)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.146 * * * [progress]: adding candidates to table 0.214 * * [progress]: iteration 2 / 4 0.215 * * * [progress]: picking best candidate 0.247 * * * * [pick]: Picked # 0.247 * * * [progress]: localizing error 0.254 * * * [progress]: generating rewritten candidates 0.254 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.257 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.263 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.278 * * * [progress]: generating series expansions 0.278 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.278 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (cos x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (cos x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.280 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.281 * [taylor]: Taking taylor expansion of -1 in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.281 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (cos x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (cos x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.286 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.289 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.289 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (cos x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (cos x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.291 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of 1.0 in x 0.291 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of 1.0 in x 0.291 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.292 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.292 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.293 * [taylor]: Taking taylor expansion of -1 in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.293 * [taylor]: Taking taylor expansion of -1 in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.294 * * * [progress]: simplifying candidates 0.296 * [simplify]: Simplifying using # : (/ (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)))) (neg (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)) (neg (cos x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (neg (- 1.0 (cos x))) (neg x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (- (log (- 1.0 (cos x))) (log x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (exp (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (* x x) x)) (/ (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (* (* x x) x)) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (* (* (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (neg (/ (- 1.0 (cos x)) x)) (neg x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) 1) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 1) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) 1) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* x x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.304 * * [simplify]: iteration 0 : 531 enodes (cost 1270 ) 0.312 * * [simplify]: iteration 1 : 1899 enodes (cost 1197 ) 0.338 * * [simplify]: iteration 2 : 5001 enodes (cost 1186 ) 0.345 * [simplify]: Simplified to: (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)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (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)) (neg (cos x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (cos x) 1.0) (neg x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) x) (* x (+ 1.0 (cos 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) (neg x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (pow (cbrt x) 3))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (* (/ (/ (sqrt (- 1.0 (cos x))) 2) (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (sqrt (- 1.0 (cos x))) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (* (/ 1/2 (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (* (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 2) (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (* (/ 1/2 (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (pow x 2) (pow x 2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.346 * * * [progress]: adding candidates to table 0.495 * * [progress]: iteration 3 / 4 0.495 * * * [progress]: picking best candidate 0.528 * * * * [pick]: Picked # 0.529 * * * [progress]: localizing error 0.539 * * * [progress]: generating rewritten candidates 0.539 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 0.542 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.545 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.550 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.562 * * * [progress]: generating series expansions 0.563 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 0.563 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (cos x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (cos x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.566 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (cos x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (cos x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.570 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.574 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.574 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.574 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.574 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.579 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.579 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (cos x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (cos x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.580 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.581 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.581 * [taylor]: Taking taylor expansion of -1 in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.581 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.581 * [taylor]: Taking taylor expansion of -1 in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.582 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (cos x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (cos x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.584 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.585 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.585 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.585 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.586 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.586 * [taylor]: Taking taylor expansion of 1.0 in x 0.586 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * * * [progress]: simplifying candidates 0.588 * [simplify]: Simplifying using # : (/ (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)))) (neg (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)) (neg (cos x)) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (- (log (- 1.0 (cos x))) (log x)) (log (/ (exp (log (- 1.0 (cos x)))) x)) (exp (/ (exp (log (- 1.0 (cos x)))) x)) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* x x) x)) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) x)) (cbrt (/ (exp (log (- 1.0 (cos x)))) x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) x)) (* (* (/ (exp (log (- 1.0 (cos x)))) x) (/ (exp (log (- 1.0 (cos x)))) x)) (/ (exp (log (- 1.0 (cos x)))) x)) (sqrt (/ (exp (log (- 1.0 (cos x)))) x)) (sqrt (/ (exp (log (- 1.0 (cos x)))) x)) (neg (exp (log (- 1.0 (cos x))))) (neg x) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt x)) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) x) (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (cbrt x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) 1) (/ (exp (log (sqrt (- 1.0 (cos x))))) x) (/ (exp (log 1)) (* (cbrt x) (cbrt x))) (/ (exp (log (- 1.0 (cos x)))) (cbrt x)) (/ (exp (log 1)) (sqrt x)) (/ (exp (log (- 1.0 (cos x)))) (sqrt x)) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) x) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt x) (cbrt x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt x)) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) x) (/ (exp (log 1)) (* (cbrt x) (cbrt x))) (/ (exp (log (- 1.0 (cos x)))) (cbrt x)) (/ (exp (log 1)) (sqrt x)) (/ (exp (log (- 1.0 (cos x)))) (sqrt x)) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) x) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (cbrt x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt x)) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sqrt x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1) (/ (cbrt (exp (log (- 1.0 (cos x))))) x) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (exp (log (- 1.0 (cos x)))) (cbrt x)) (/ 1 (sqrt x)) (/ (exp (log (- 1.0 (cos x)))) (sqrt x)) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) x) (/ 1 x) (/ x (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt x)) (/ (exp (log (- 1.0 (cos x)))) 1) (/ x (exp (log (cbrt (- 1.0 (cos x)))))) (/ x (exp (log (sqrt (- 1.0 (cos x)))))) (/ x (exp (log (- 1.0 (cos x))))) (/ x (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ x (exp (log (- 1.0 (cos x))))) (/ x (cbrt (exp (log (- 1.0 (cos x)))))) (/ x (sqrt (exp (log (- 1.0 (cos x)))))) (/ x (exp (log (- 1.0 (cos x))))) (* x (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* x (exp (log (+ 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)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 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 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 0.594 * * [simplify]: iteration 0 : 297 enodes (cost 749 ) 0.599 * * [simplify]: iteration 1 : 840 enodes (cost 685 ) 0.612 * * [simplify]: iteration 2 : 3040 enodes (cost 643 ) 0.673 * * [simplify]: iteration 3 : 5002 enodes (cost 631 ) 0.677 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (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)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (* -1 (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)) (* -1 (cos x)) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) E (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) E (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) x)) (cbrt (/ (exp (log (- 1.0 (cos x)))) x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (exp (log (- 1.0 (cos x)))) x)) (sqrt (/ (exp (log (- 1.0 (cos x)))) x)) (- (cos x) 1.0) (neg x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (/ (cbrt (- 1.0 (cos x))) 1) (cbrt x)) (/ (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (pow x 1/2)) (pow (cbrt (- 1.0 (cos x))) 2) (/ (cbrt (exp (log (- 1.0 (cos x))))) x) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt x) (cbrt x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) 1)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) 1)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (pow x 1/2)) 1 (/ (- 1.0 (cos x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) 1)) (/ (- (sqrt 1.0) (sqrt (cos x))) (pow x 1/2)) (+ (sqrt 1.0) (sqrt (cos x))) (- (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) 1)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (pow x 1/2)) 1 (/ (- 1.0 (cos x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (/ (cbrt (- 1.0 (cos x))) 1) (cbrt x)) (/ (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (pow x 1/2)) (pow (cbrt (- 1.0 (cos x))) 2) (/ (cbrt (exp (log (- 1.0 (cos x))))) x) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt x) (cbrt x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) 1)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) 1)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (pow x 1/2)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) 1)) (/ (- 1.0 (cos x)) (pow x 1/2)) (- 1.0 (cos x)) (/ x (cbrt (exp (log (- 1.0 (cos x)))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ x (- 1.0 (cos x))) (/ x (cbrt (exp (log (- 1.0 (cos x)))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) x) (* (+ 1.0 (cos x)) x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 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 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 0.678 * * * [progress]: adding candidates to table 0.805 * * [progress]: iteration 4 / 4 0.805 * * * [progress]: picking best candidate 0.843 * * * * [pick]: Picked # 0.843 * * * [progress]: localizing error 0.864 * * * [progress]: generating rewritten candidates 0.864 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 0.875 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 0.881 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 2) 0.886 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 0.903 * * * [progress]: generating series expansions 0.903 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 0.903 * [approximate]: Taking taylor expansion of (log (- 1.0 (pow (cos x) 3))) in (x) around 0 0.903 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow (cos x) 3))) in x 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.903 * [taylor]: Taking taylor expansion of (cos x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow (cos x) 3))) in x 0.904 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.904 * [taylor]: Taking taylor expansion of (cos x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.907 * [approximate]: Taking taylor expansion of (log (- 1.0 (pow (cos (/ 1 x)) 3))) in (x) around 0 0.908 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow (cos (/ 1 x)) 3))) in x 0.908 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.908 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow (cos (/ 1 x)) 3))) in x 0.908 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.908 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.915 * [approximate]: Taking taylor expansion of (log (- 1.0 (pow (cos (/ -1 x)) 3))) in (x) around 0 0.915 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow (cos (/ -1 x)) 3))) in x 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.915 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow (cos (/ -1 x)) 3))) in x 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.916 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.916 * [taylor]: Taking taylor expansion of -1 in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.922 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 0.923 * [approximate]: Taking taylor expansion of (log (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) in (x) around 0 0.923 * [taylor]: Taking taylor expansion of (log (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) in x 0.923 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0)) in x 0.923 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.923 * [taylor]: Taking taylor expansion of (cos x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos x)) 1.0) in x 0.923 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (cos x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (log (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) in x 0.923 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0)) in x 0.923 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.923 * [taylor]: Taking taylor expansion of (cos x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos x)) 1.0) in x 0.923 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (cos x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in (x) around 0 0.926 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 0.926 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 0.926 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 0.926 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.926 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 0.927 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 0.927 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 0.927 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.927 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [approximate]: Taking taylor expansion of (log (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) in (x) around 0 0.935 * [taylor]: Taking taylor expansion of (log (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) in x 0.935 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)) in x 0.935 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.935 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.935 * [taylor]: Taking taylor expansion of -1 in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) 1.0) in x 0.935 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.935 * [taylor]: Taking taylor expansion of -1 in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (log (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0))) in x 0.936 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) (+ (* 1.0 (cos (/ -1 x))) 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.936 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.936 * [taylor]: Taking taylor expansion of -1 in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) 1.0) in x 0.936 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.936 * [taylor]: Taking taylor expansion of -1 in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 2) 0.944 * [approximate]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in (x) around 0 0.944 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 0.944 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.944 * [taylor]: Taking taylor expansion of (cos x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (cos x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 0.944 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.944 * [taylor]: Taking taylor expansion of (cos x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (cos x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.946 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 0.946 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.946 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 0.946 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.946 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.948 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in (x) around 0 0.948 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 0.948 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.948 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 0.948 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.948 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.950 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 0.950 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.950 * [taylor]: Taking taylor expansion of (cos x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.950 * [taylor]: Taking taylor expansion of (cos x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.952 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.952 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.952 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.954 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 0.954 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.954 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.954 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.954 * [taylor]: Taking taylor expansion of -1 in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.955 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.955 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.955 * [taylor]: Taking taylor expansion of -1 in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.956 * * * [progress]: simplifying candidates 0.958 * [simplify]: Simplifying using # : (log (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))))) (log (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (log (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (log (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- 1.0 (cos x))) (log 1) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (log (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (log (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2)))) (log (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2)))) (log (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (log (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (log (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2)))) (log (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2)))) (log (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3))) (log (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3))) (log (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3))) (log (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3))) (log (+ (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3)))) (log (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3)))) (log (+ (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2)))) (log (- (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2)))) (log (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3))) (log (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3))) (log (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3))) (log (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3))) (log (+ (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3)))) (log (- (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3)))) (log (+ (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2)))) (log (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2)))) (log (pow 1 3)) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (pow 1 3)) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (pow 1 3)) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (pow 1 3)) (log (- (pow 1.0 3) (pow (cos x) 3))) (log 1) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3))) (log (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (cos x) 3) (pow (cos x) 3)) (* (pow 1.0 3) (pow (cos x) 3))))) (log (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (cos x) 3) (pow (cos x) 3)))) (log (+ (pow 1.0 3) (pow (cos x) 3))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (log (- (pow 1.0 3) (pow (cos x) 3)))) (cbrt (log (- (pow 1.0 3) (pow (cos x) 3))))) (cbrt (log (- (pow 1.0 3) (pow (cos x) 3)))) (* (* (log (- (pow 1.0 3) (pow (cos x) 3))) (log (- (pow 1.0 3) (pow (cos x) 3)))) (log (- (pow 1.0 3) (pow (cos x) 3)))) (sqrt (log (- (pow 1.0 3) (pow (cos x) 3)))) (sqrt (log (- (pow 1.0 3) (pow (cos x) 3)))) (log (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (log (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (log (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (log (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (log 1) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (+ (pow (* 1.0 1.0) 3) (pow (+ (* (cos x) (cos x)) (* 1.0 (cos x))) 3))) (log (+ (* (* 1.0 1.0) (* 1.0 1.0)) (- (* (+ (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (+ (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (log (- (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (cbrt (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (cbrt (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (cbrt (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (* (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (sqrt (log 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[simplify]: iteration 0 : 438 enodes (cost 1083 ) 0.973 * * [simplify]: iteration 1 : 1464 enodes (cost 1003 ) 1.003 * * [simplify]: iteration 2 : 5002 enodes (cost 998 ) 1.008 * [simplify]: Simplified to: (* 2 (log (cbrt (- (pow 1.0 3) (pow (cos x) 3))))) (log (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (log (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (log (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (log (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (log (- 1.0 (cos x))) 0 (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (log (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (log (+ (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (log (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (log (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (log (- (pow (sqrt 1.0) 3) (pow (sqrt 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3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (neg (pow (cos x) 3)) (- (+ (log 3/2) (* 2 (log x))) (+ (* 7/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (pow (cos x) 3))) (log (- 1.0 (pow (cos x) 3))) (- (+ (log 3.0) (* 0.125 (pow x 4))) (+ (* 0.5 (pow x 2)) (* 1.125 (/ (pow x 4) (pow 3.0 2))))) (log (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) (log (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) 1.009 * * * [progress]: adding candidates to table 1.248 * [progress]: [Phase 3 of 3] Extracting. 1.248 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 1.250 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.250 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # # # #) 1.314 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 1.398 * * * [regime]: Found split indices: #