5.965 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.058 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.060 * * [simplify]: iteration 0 : 28 enodes (cost 8 ) 0.060 * * [simplify]: iteration 1 : 28 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 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.080 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (cos x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (cos x) 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 0.083 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.083 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.085 * [taylor]: Taking taylor expansion of -1 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 0.085 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.085 * [taylor]: Taking taylor expansion of -1 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 0.086 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.086 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (cos x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (cos x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.088 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.088 * [taylor]: Taking taylor expansion of -1 in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.088 * [taylor]: Taking taylor expansion of -1 in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * * * [progress]: simplifying candidates 0.089 * [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)) 0.117 * * [simplify]: iteration 0 : 5441 enodes (cost 441 ) 0.119 * [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)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (* (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)) 3) (pow x 6)) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (+ (cos x) (neg 1.0)) (* x (neg 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) (+ 1.0 (cos x)))))) (* 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)) (+ (* 1.0 1.0) (* (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)) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* x (* x 1/2)) (+ (* (pow x 6) 1/720) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.120 * * * [progress]: adding candidates to table 0.189 * * [progress]: iteration 2 / 4 0.189 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.224 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.227 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.231 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.235 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (cos x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (cos x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.236 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.237 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.237 * [taylor]: Taking taylor expansion of -1 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.237 * [taylor]: Taking taylor expansion of -1 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.237 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (cos x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (cos x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.240 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (cos x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (cos x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.242 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.243 * [taylor]: Taking taylor expansion of -1 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.243 * [taylor]: Taking taylor expansion of -1 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.243 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 0.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 0.243 * [taylor]: Taking taylor expansion of 1/3 in x 0.243 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (cos x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 0.244 * [taylor]: Taking taylor expansion of 1/3 in x 0.244 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (cos x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.248 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 0.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 0.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 0.248 * [taylor]: Taking taylor expansion of 1/3 in x 0.248 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 0.249 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 0.249 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 0.249 * [taylor]: Taking taylor expansion of 1/3 in x 0.249 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.258 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in (x) around 0 0.258 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 0.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 0.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 0.258 * [taylor]: Taking taylor expansion of 1/3 in x 0.258 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.258 * [taylor]: Taking taylor expansion of -1 in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 0.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 0.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 0.258 * [taylor]: Taking taylor expansion of 1/3 in x 0.258 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.258 * [taylor]: Taking taylor expansion of -1 in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.265 * * * [progress]: simplifying candidates 0.266 * [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)) (/ (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)) (/ (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)))) (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) 0.299 * * [simplify]: iteration 0 : 5133 enodes (cost 529 ) 0.302 * [simplify]: Simplified to: (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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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)))) (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)))) (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) (+ 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)))) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (* (pow x 2/3) (cbrt 1/2)) (+ 1 (+ (* (pow x 4) 1/6480) (* x (* x -1/36))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 0.302 * * * [progress]: adding candidates to table 0.411 * * [progress]: iteration 3 / 4 0.411 * * * [progress]: picking best candidate 0.436 * * * * [pick]: Picked # 0.436 * * * [progress]: localizing error 0.450 * * * [progress]: generating rewritten candidates 0.450 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 0.453 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.460 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.465 * * * [progress]: generating series expansions 0.466 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 0.466 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.466 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [taylor]: Taking taylor expansion of (cos x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [taylor]: Taking taylor expansion of (cos x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.469 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (cos x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (cos x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.471 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.471 * [taylor]: Taking taylor expansion of -1 in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.471 * [taylor]: Taking taylor expansion of -1 in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.472 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (cos x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (cos x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.477 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.477 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 0.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 0.477 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 0.477 * [taylor]: Taking taylor expansion of 1/3 in x 0.477 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (cos x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 0.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 0.477 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 0.477 * [taylor]: Taking taylor expansion of 1/3 in x 0.477 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (cos x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.482 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in (x) around 0 0.482 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 0.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 0.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 0.482 * [taylor]: Taking taylor expansion of 1/3 in x 0.482 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 0.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 0.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 0.482 * [taylor]: Taking taylor expansion of 1/3 in x 0.482 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.489 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 0.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 0.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 0.489 * [taylor]: Taking taylor expansion of 1/3 in x 0.489 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 0.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 0.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 0.489 * [taylor]: Taking taylor expansion of 1/3 in x 0.489 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.490 * [taylor]: Taking taylor expansion of -1 in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.496 * * * [progress]: simplifying candidates 0.497 * [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)) (/ (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)) (/ (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 (exp (cbrt (- 1.0 (cos x))))) (cbrt (exp (cbrt (- 1.0 (cos x))))))) (log (cbrt (exp (cbrt (- 1.0 (cos x)))))) (log (sqrt (exp (cbrt (- 1.0 (cos x)))))) (log (sqrt (exp (cbrt (- 1.0 (cos x)))))) (log 1) (log (exp (cbrt (- 1.0 (cos x))))) (log (exp (cbrt (- 1.0 (cos x))))) (log (exp (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (log (exp (cbrt (sqrt (- 1.0 (cos x)))))) (log (exp (cbrt 1))) (log (exp (cbrt (+ (sqrt 1.0) (sqrt (cos x)))))) (log (exp (cbrt 1))) (log (exp (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))))) (log (exp (sqrt (cbrt (- 1.0 (cos x)))))) (log (exp 1)) (log (log (exp (cbrt (- 1.0 (cos x)))))) (exp (log (exp (cbrt (- 1.0 (cos x)))))) (* (cbrt (log (exp (cbrt (- 1.0 (cos x)))))) (cbrt (log (exp (cbrt (- 1.0 (cos x))))))) (cbrt (log (exp (cbrt (- 1.0 (cos x)))))) (* (* (log (exp (cbrt (- 1.0 (cos x))))) (log (exp (cbrt (- 1.0 (cos x)))))) (log (exp (cbrt (- 1.0 (cos x)))))) (sqrt (log (exp (cbrt (- 1.0 (cos x)))))) (sqrt (log (exp (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) 0.544 * * [simplify]: iteration 0 : 4909 enodes (cost 530 ) 0.544 * * [simplify]: iteration 1 : 4909 enodes (cost 530 ) 0.547 * [simplify]: Simplified to: (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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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 (exp (cbrt (- 1.0 (cos x)))))) 2) (log (cbrt (exp (cbrt (- 1.0 (cos x)))))) (log (sqrt (exp (cbrt (- 1.0 (cos x)))))) (log (sqrt (exp (cbrt (- 1.0 (cos x)))))) (log 1) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) (cbrt (pow (- 1.0 (cos x)) 2/3)) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt 1) (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt 1) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (sqrt (cbrt (- 1.0 (cos x)))) 1 (log (cbrt (- 1.0 (cos x)))) (exp (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)))) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (* (pow x 2/3) (cbrt 1/2)) (+ 1 (+ (* (pow x 4) 1/6480) (* x (* x -1/36))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 0.547 * * * [progress]: adding candidates to table 0.680 * * [progress]: iteration 4 / 4 0.680 * * * [progress]: picking best candidate 0.712 * * * * [pick]: Picked # 0.712 * * * [progress]: localizing error 0.729 * * * [progress]: generating rewritten candidates 0.729 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 0.733 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1 1 1) 0.737 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 0.740 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.745 * * * [progress]: generating series expansions 0.745 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1 1) 0.745 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (cos x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (cos x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.746 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.747 * [taylor]: Taking taylor expansion of -1 in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.747 * [taylor]: Taking taylor expansion of -1 in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.748 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1 1 1) 0.748 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (cos x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (cos x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.749 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.750 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.750 * [taylor]: Taking taylor expansion of -1 in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.750 * [taylor]: Taking taylor expansion of -1 in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 0.750 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (cos x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (cos x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.752 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.752 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.753 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.753 * [taylor]: Taking taylor expansion of -1 in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.753 * [taylor]: Taking taylor expansion of -1 in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.753 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (cos x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (cos x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.755 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.756 * [taylor]: Taking taylor expansion of -1 in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.756 * [taylor]: Taking taylor expansion of -1 in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * * * [progress]: simplifying candidates 0.757 * [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)) (/ (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)) (/ (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)) (/ (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)) (- (+ (* 1/2 (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)) 0.783 * * [simplify]: iteration 0 : 4962 enodes (cost 504 ) 0.783 * * [simplify]: iteration 1 : 4962 enodes (cost 504 ) 0.785 * [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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.786 * * * [progress]: adding candidates to table 0.967 * [progress]: [Phase 3 of 3] Extracting. 0.967 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 0.971 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 0.971 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # #) 1.036 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.109 * * * [regime]: Found split indices: #