13.121 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.067 * * [simplify]: iteration 0 : 28 enodes (cost 8 ) 0.067 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.067 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.086 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.086 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) 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 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (cos x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.089 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.089 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.091 * [taylor]: Taking taylor expansion of -1 in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.091 * [taylor]: Taking taylor expansion of -1 in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.092 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (cos x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (cos x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.094 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.094 * [taylor]: Taking taylor expansion of -1 in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.094 * [taylor]: Taking taylor expansion of -1 in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.095 * * * [progress]: simplifying candidates 0.095 * [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)) 0.123 * * [simplify]: iteration 0 : 5441 enodes (cost 441 ) 0.124 * [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)) 0.125 * * * [progress]: adding candidates to table 0.191 * * [progress]: iteration 2 / 4 0.191 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.224 * * * [progress]: generating rewritten candidates 0.224 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.229 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 0.233 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.243 * * * [progress]: generating series expansions 0.243 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.243 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.243 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.244 * [taylor]: Taking taylor expansion of 1/720 in x 0.244 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 1/2 in x 0.244 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of 1/24 in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.244 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.244 * [taylor]: Taking taylor expansion of 1/720 in x 0.244 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 1/2 in x 0.244 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of 1/24 in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.245 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.245 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.245 * [taylor]: Taking taylor expansion of 1/720 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 1/2 in x 0.245 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.245 * [taylor]: Taking taylor expansion of 1/24 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.245 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.245 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.245 * [taylor]: Taking taylor expansion of 1/720 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 1/2 in x 0.245 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.245 * [taylor]: Taking taylor expansion of 1/24 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.247 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.247 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.247 * [taylor]: Taking taylor expansion of 1/720 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of 1/2 in x 0.247 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.247 * [taylor]: Taking taylor expansion of 1/24 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.247 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.247 * [taylor]: Taking taylor expansion of 1/720 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of 1/2 in x 0.247 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.247 * [taylor]: Taking taylor expansion of 1/24 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 0.248 * [approximate]: Taking taylor expansion of (* -1/24 x) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (* -1/24 x) in x 0.248 * [taylor]: Taking taylor expansion of -1/24 in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* -1/24 x) in x 0.248 * [taylor]: Taking taylor expansion of -1/24 in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [approximate]: Taking taylor expansion of (/ -1/24 x) in (x) around 0 0.249 * [taylor]: Taking taylor expansion of (/ -1/24 x) in x 0.249 * [taylor]: Taking taylor expansion of -1/24 in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (/ -1/24 x) in x 0.249 * [taylor]: Taking taylor expansion of -1/24 in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [approximate]: Taking taylor expansion of (/ 1/24 x) in (x) around 0 0.249 * [taylor]: Taking taylor expansion of (/ 1/24 x) in x 0.249 * [taylor]: Taking taylor expansion of 1/24 in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (/ 1/24 x) in x 0.249 * [taylor]: Taking taylor expansion of 1/24 in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.250 * [approximate]: Taking taylor expansion of (* -1/24 (pow x 2)) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (* -1/24 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of -1/24 in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (* -1/24 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of -1/24 in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.251 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 2)) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of -1/24 in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of -1/24 in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.252 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 2)) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of -1/24 in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of -1/24 in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.253 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.253 * [taylor]: Taking taylor expansion of 1/720 in x 0.253 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.253 * [taylor]: Taking taylor expansion of 1/720 in x 0.253 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.254 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.254 * [taylor]: Taking taylor expansion of 1/720 in x 0.254 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.254 * [taylor]: Taking taylor expansion of 1/720 in x 0.254 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.255 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.255 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.255 * [taylor]: Taking taylor expansion of 1/720 in x 0.255 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.255 * [taylor]: Taking taylor expansion of 1/720 in x 0.255 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * * * [progress]: simplifying candidates 0.257 * [simplify]: Simplifying using # : (* (exp (* (pow x 4) 1/720)) (* (exp 1/2) (exp (* x (* x -1/24))))) (* (exp (* (pow x 4) 1/720)) (exp (+ 1/2 (* x (* x -1/24))))) (log (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (exp (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (* (cbrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (cbrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))))) (cbrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (* (* (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (sqrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (sqrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (+ (pow (* (pow x 4) 1/720) 3) (pow (+ 1/2 (* x (* x -1/24))) 3)) (+ (* (* (pow x 4) 1/720) (* (pow x 4) 1/720)) (- (* (+ 1/2 (* x (* x -1/24))) (+ 1/2 (* x (* x -1/24)))) (* (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))))) (- (* (* (pow x 4) 1/720) (* (pow x 4) 1/720)) (* (+ 1/2 (* x (* x -1/24))) (+ 1/2 (* x (* x -1/24))))) (- (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (+ (* (pow x 4) 1/720) 1/2) (* x -1/24) (+ (log x) (log -1/24)) (log (* x -1/24)) (exp (* x -1/24)) (* (* (* x x) x) (* (* -1/24 -1/24) -1/24)) (* (cbrt (* x -1/24)) (cbrt (* x -1/24))) (cbrt (* x -1/24)) (* (* (* x -1/24) (* x -1/24)) (* x -1/24)) (sqrt (* x -1/24)) (sqrt (* x -1/24)) (* (sqrt x) (sqrt -1/24)) (* (sqrt x) (sqrt -1/24)) (* x (* (cbrt -1/24) (cbrt -1/24))) (* x (sqrt -1/24)) (* x 1) (* (cbrt x) -1/24) (* (sqrt x) -1/24) (* x -1/24) (* x (* x -1/24)) (* x (* x -1/24)) (+ (log x) (+ (log x) (log -1/24))) (+ (log x) (log (* x -1/24))) (log (* x (* x -1/24))) (exp (* x (* x -1/24))) (* (* (* x x) x) (* (* (* x x) x) (* (* -1/24 -1/24) -1/24))) (* (* (* x x) x) (* (* (* x -1/24) (* x -1/24)) (* x -1/24))) (* (cbrt (* x (* x -1/24))) (cbrt (* x (* x -1/24)))) (cbrt (* x (* x -1/24))) (* (* (* x (* x -1/24)) (* x (* x -1/24))) (* x (* x -1/24))) (sqrt (* x (* x -1/24))) (sqrt (* x (* x -1/24))) (* x x) (* (cbrt x) (* x -1/24)) (* (sqrt x) (* x -1/24)) (* x (* x -1/24)) (+ (* (log x) 4) (log 1/720)) (+ (* (log x) 4) (log 1/720)) (+ (log (pow x 4)) (log 1/720)) (log (* (pow x 4) 1/720)) (exp (* (pow x 4) 1/720)) (* (* (* (pow x 4) (pow x 4)) (pow x 4)) (* (* 1/720 1/720) 1/720)) (* (cbrt (* (pow x 4) 1/720)) (cbrt (* (pow x 4) 1/720))) (cbrt (* (pow x 4) 1/720)) (* (* (* (pow x 4) 1/720) (* (pow x 4) 1/720)) (* (pow x 4) 1/720)) (sqrt (* (pow x 4) 1/720)) (sqrt (* (pow x 4) 1/720)) (* (pow (sqrt x) 4) (sqrt 1/720)) (* (pow (sqrt x) 4) (sqrt 1/720)) (* (sqrt (pow x 4)) (sqrt 1/720)) (* (sqrt (pow x 4)) (sqrt 1/720)) (* (pow x (/ 4 2)) (sqrt 1/720)) (* (pow x (/ 4 2)) (sqrt 1/720)) (* (pow x 4) (* (cbrt 1/720) (cbrt 1/720))) (* (pow x 4) (sqrt 1/720)) (* (pow x 4) 1) (* (pow (cbrt x) 4) 1/720) (* (pow (sqrt x) 4) 1/720) (* (pow x 4) 1/720) (* (cbrt (pow x 4)) 1/720) (* (sqrt (pow x 4)) 1/720) (* (pow x 4) 1/720) (* (pow x (/ 4 2)) 1/720) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* -1/24 x) (* -1/24 x) (* -1/24 x) (* -1/24 (pow x 2)) (* -1/24 (pow x 2)) (* -1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.307 * * [simplify]: iteration 0 : 5044 enodes (cost 646 ) 0.309 * [simplify]: Simplified to: (exp (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (exp (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (log (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (exp (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (* (cbrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (cbrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))))) (cbrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (pow (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) 3) (sqrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (sqrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (+ (* (pow x 12) 1/373248000) (pow (+ 1/2 (* x (* x -1/24))) 3)) (+ (* (pow x 8) 1/518400) (* (+ 1/2 (* x (* x -1/24))) (+ 1/2 (+ (* x (* x -1/24)) (* (pow x 4) -1/720))))) (+ (* (pow x 8) 1/518400) (* (+ 1/2 (* x (* x -1/24))) (+ (* x (* x 1/24)) -1/2))) (+ (* (pow x 4) 1/720) (+ (* x (* x 1/24)) -1/2)) (+ (* (pow x 4) 1/720) 1/2) (* x -1/24) (log (* x -1/24)) (log (* x -1/24)) (pow (exp x) -1/24) (* (pow x 3) -1/13824) (* (cbrt (* x -1/24)) (cbrt (* x -1/24))) (cbrt (* x -1/24)) (* (pow x 3) -1/13824) (sqrt (* x -1/24)) (sqrt (* x -1/24)) (* (sqrt x) (sqrt -1/24)) (* (sqrt x) (sqrt -1/24)) (* x (* (cbrt -1/24) (cbrt -1/24))) (* x (sqrt -1/24)) x (* -1/24 (cbrt x)) (* -1/24 (sqrt x)) (* x -1/24) (* x (* x -1/24)) (* x (* x -1/24)) (log (* x (* x -1/24))) (log (* x (* x -1/24))) (log (* x (* x -1/24))) (pow (pow (exp x) -1/24) x) (* -1/13824 (pow x 6)) (* -1/13824 (pow x 6)) (* (cbrt (* x (* x -1/24))) (cbrt (* x (* x -1/24)))) (cbrt (* x (* x -1/24))) (* -1/13824 (pow x 6)) (sqrt (* x (* x -1/24))) (sqrt (* x (* x -1/24))) (* x x) (* x (* -1/24 (cbrt x))) (* -1/24 (pow x 3/2)) (* x (* x -1/24)) (log (* (pow x 4) 1/720)) (log (* (pow x 4) 1/720)) (log (* (pow x 4) 1/720)) (log (* (pow x 4) 1/720)) (pow (exp (pow x 4)) 1/720) (* (pow x 12) 1/373248000) (* (cbrt (* (pow x 4) 1/720)) (cbrt (* (pow x 4) 1/720))) (cbrt (* (pow x 4) 1/720)) (* (pow x 12) 1/373248000) (sqrt (* (pow x 4) 1/720)) (sqrt (* (pow x 4) 1/720)) (* x (* x (sqrt 1/720))) (* x (* x (sqrt 1/720))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* x (* x (sqrt 1/720))) (* x (* x (sqrt 1/720))) (* (pow x 4) (* (cbrt 1/720) (cbrt 1/720))) (* (pow x 4) (sqrt 1/720)) (pow x 4) (* 1/720 (pow (cbrt x) 4)) (* x (* x 1/720)) (* (pow x 4) 1/720) (* 1/720 (cbrt (pow x 4))) (* 1/720 (sqrt (pow x 4))) (* (pow x 4) 1/720) (* x (* x 1/720)) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (* x -1/24) (* x -1/24) (* x -1/24) (* x (* x -1/24)) (* x (* x -1/24)) (* x (* x -1/24)) (* (pow x 4) 1/720) (* (pow x 4) 1/720) (* (pow x 4) 1/720) 0.310 * * * [progress]: adding candidates to table 0.401 * * [progress]: iteration 3 / 4 0.401 * * * [progress]: picking best candidate 0.424 * * * * [pick]: Picked # 0.424 * * * [progress]: localizing error 0.432 * * * [progress]: generating rewritten candidates 0.432 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.441 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.444 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.455 * * * [progress]: generating series expansions 0.455 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.455 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.455 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.455 * [taylor]: Taking taylor expansion of 1/720 in x 0.455 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1/2 in x 0.455 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of 1/24 in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.455 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.455 * [taylor]: Taking taylor expansion of 1/720 in x 0.455 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1/2 in x 0.455 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of 1/24 in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.456 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.456 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.456 * [taylor]: Taking taylor expansion of 1/720 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of 1/2 in x 0.456 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.456 * [taylor]: Taking taylor expansion of 1/24 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.456 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.456 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.456 * [taylor]: Taking taylor expansion of 1/720 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of 1/2 in x 0.456 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.456 * [taylor]: Taking taylor expansion of 1/24 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.458 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.458 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.458 * [taylor]: Taking taylor expansion of 1/720 in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of 1/2 in x 0.458 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.458 * [taylor]: Taking taylor expansion of 1/24 in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.458 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.458 * [taylor]: Taking taylor expansion of 1/720 in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of 1/2 in x 0.458 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.458 * [taylor]: Taking taylor expansion of 1/24 in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.459 * [approximate]: Taking taylor expansion of (* -1/24 x) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (* -1/24 x) in x 0.459 * [taylor]: Taking taylor expansion of -1/24 in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (* -1/24 x) in x 0.459 * [taylor]: Taking taylor expansion of -1/24 in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.460 * [approximate]: Taking taylor expansion of (/ -1/24 x) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (/ -1/24 x) in x 0.460 * [taylor]: Taking taylor expansion of -1/24 in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (/ -1/24 x) in x 0.460 * [taylor]: Taking taylor expansion of -1/24 in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.461 * [approximate]: Taking taylor expansion of (/ 1/24 x) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (/ 1/24 x) in x 0.461 * [taylor]: Taking taylor expansion of 1/24 in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ 1/24 x) in x 0.461 * [taylor]: Taking taylor expansion of 1/24 in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.461 * [approximate]: Taking taylor expansion of (* -1/24 (pow x 2)) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (* -1/24 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of -1/24 in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (* -1/24 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of -1/24 in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 2)) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 2)) in x 0.462 * [taylor]: Taking taylor expansion of -1/24 in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 2)) in x 0.462 * [taylor]: Taking taylor expansion of -1/24 in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 2)) in (x) around 0 0.463 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of -1/24 in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of -1/24 in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.464 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.464 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.464 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.464 * [taylor]: Taking taylor expansion of 1/720 in x 0.464 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.464 * [taylor]: Taking taylor expansion of 1/720 in x 0.464 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.465 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.465 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.465 * [taylor]: Taking taylor expansion of 1/720 in x 0.465 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.465 * [taylor]: Taking taylor expansion of 1/720 in x 0.465 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.466 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.466 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.466 * [taylor]: Taking taylor expansion of 1/720 in x 0.466 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.466 * [taylor]: Taking taylor expansion of 1/720 in x 0.466 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * * * [progress]: simplifying candidates 0.468 * [simplify]: Simplifying using # : (* (* (exp (* (pow x 4) 1/720)) (exp 1/2)) (exp (* x (* x -1/24)))) (* (exp (+ (* (pow x 4) 1/720) 1/2)) (exp (* x (* x -1/24)))) (log (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24)))) (exp (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24)))) (* (cbrt (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24)))) (cbrt (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24))))) (cbrt (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24)))) (* (* (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24))) (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24)))) (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24)))) (sqrt (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24)))) (sqrt (+ (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24)))) (+ (pow (+ (* (pow x 4) 1/720) 1/2) 3) (pow (* x (* x -1/24)) 3)) (+ (* (+ (* (pow x 4) 1/720) 1/2) (+ (* (pow x 4) 1/720) 1/2)) (- (* (* x (* x -1/24)) (* x (* x -1/24))) (* (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24))))) (- (* (+ (* (pow x 4) 1/720) 1/2) (+ (* (pow x 4) 1/720) 1/2)) (* (* x (* x -1/24)) (* x (* x -1/24)))) (- (+ (* (pow x 4) 1/720) 1/2) (* x (* x -1/24))) (+ 1/2 (* x (* x -1/24))) (* x -1/24) (+ (log x) (log -1/24)) (log (* x -1/24)) (exp (* x -1/24)) (* (* (* x x) x) (* (* -1/24 -1/24) -1/24)) (* (cbrt (* x -1/24)) (cbrt (* x -1/24))) (cbrt (* x -1/24)) (* (* (* x -1/24) (* x -1/24)) (* x -1/24)) (sqrt (* x -1/24)) (sqrt (* x -1/24)) (* (sqrt x) (sqrt -1/24)) (* (sqrt x) (sqrt -1/24)) (* x (* (cbrt -1/24) (cbrt -1/24))) (* x (sqrt -1/24)) (* x 1) (* (cbrt x) -1/24) (* (sqrt x) -1/24) (* x -1/24) (* x (* x -1/24)) (* x (* x -1/24)) (+ (log x) (+ (log x) (log -1/24))) (+ (log x) (log (* x -1/24))) (log (* x (* x -1/24))) (exp (* x (* x -1/24))) (* (* (* x x) x) (* (* (* x x) x) (* (* -1/24 -1/24) -1/24))) (* (* (* x x) x) (* (* (* x -1/24) (* x -1/24)) (* x -1/24))) (* (cbrt (* x (* x -1/24))) (cbrt (* x (* x -1/24)))) (cbrt (* x (* x -1/24))) (* (* (* x (* x -1/24)) (* x (* x -1/24))) (* x (* x -1/24))) (sqrt (* x (* x -1/24))) (sqrt (* x (* x -1/24))) (* x x) (* (cbrt x) (* x -1/24)) (* (sqrt x) (* x -1/24)) (* x (* x -1/24)) (+ (* (log x) 4) (log 1/720)) (+ (* (log x) 4) (log 1/720)) (+ (log (pow x 4)) (log 1/720)) (log (* (pow x 4) 1/720)) (exp (* (pow x 4) 1/720)) (* (* (* (pow x 4) (pow x 4)) (pow x 4)) (* (* 1/720 1/720) 1/720)) (* (cbrt (* (pow x 4) 1/720)) (cbrt (* (pow x 4) 1/720))) (cbrt (* (pow x 4) 1/720)) (* (* (* (pow x 4) 1/720) (* (pow x 4) 1/720)) (* (pow x 4) 1/720)) (sqrt (* (pow x 4) 1/720)) (sqrt (* (pow x 4) 1/720)) (* (pow (sqrt x) 4) (sqrt 1/720)) (* (pow (sqrt x) 4) (sqrt 1/720)) (* (sqrt (pow x 4)) (sqrt 1/720)) (* (sqrt (pow x 4)) (sqrt 1/720)) (* (pow x (/ 4 2)) (sqrt 1/720)) (* (pow x (/ 4 2)) (sqrt 1/720)) (* (pow x 4) (* (cbrt 1/720) (cbrt 1/720))) (* (pow x 4) (sqrt 1/720)) (* (pow x 4) 1) (* (pow (cbrt x) 4) 1/720) (* (pow (sqrt x) 4) 1/720) (* (pow x 4) 1/720) (* (cbrt (pow x 4)) 1/720) (* (sqrt (pow x 4)) 1/720) (* (pow x 4) 1/720) (* (pow x (/ 4 2)) 1/720) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* -1/24 x) (* -1/24 x) (* -1/24 x) (* -1/24 (pow x 2)) (* -1/24 (pow x 2)) (* -1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.518 * * [simplify]: iteration 0 : 4895 enodes (cost 646 ) 0.518 * * [simplify]: iteration 1 : 4895 enodes (cost 646 ) 0.521 * [simplify]: Simplified to: (exp (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (exp (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (log (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (exp (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (* (cbrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (cbrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))))) (cbrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (pow (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) 3) (sqrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (sqrt (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24))))) (+ (pow (+ (* (pow x 4) 1/720) 1/2) 3) (* -1/13824 (pow x 6))) (+ (* (pow x 4) 1/576) (* (+ (* (pow x 4) 1/720) 1/2) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x 1/24)))))) (+ (* (+ (* (pow x 4) 1/720) 1/2) (+ (* (pow x 4) 1/720) 1/2)) (* (pow x 4) -1/576)) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x 1/24)))) (+ 1/2 (* x (* x -1/24))) (* x -1/24) (log (* x -1/24)) (log (* x -1/24)) (pow (exp x) -1/24) (* (pow x 3) -1/13824) (* (cbrt (* x -1/24)) (cbrt (* x -1/24))) (cbrt (* x -1/24)) (* (pow x 3) -1/13824) (sqrt (* x -1/24)) (sqrt (* x -1/24)) (* (sqrt x) (sqrt -1/24)) (* (sqrt x) (sqrt -1/24)) (* x (* (cbrt -1/24) (cbrt -1/24))) (* x (sqrt -1/24)) x (* -1/24 (cbrt x)) (* -1/24 (sqrt x)) (* x -1/24) (* x (* x -1/24)) (* x (* x -1/24)) (log (* x (* x -1/24))) (log (* x (* x -1/24))) (log (* x (* x -1/24))) (pow (pow (exp x) -1/24) x) (* -1/13824 (pow x 6)) (* -1/13824 (pow x 6)) (* (cbrt (* x (* x -1/24))) (cbrt (* x (* x -1/24)))) (cbrt (* x (* x -1/24))) (* -1/13824 (pow x 6)) (sqrt (* x (* x -1/24))) (sqrt (* x (* x -1/24))) (* x x) (* x (* -1/24 (cbrt x))) (* -1/24 (pow x 3/2)) (* x (* x -1/24)) (log (* (pow x 4) 1/720)) (log (* (pow x 4) 1/720)) (log (* (pow x 4) 1/720)) (log (* (pow x 4) 1/720)) (pow (exp (pow x 4)) 1/720) (* (pow x 12) 1/373248000) (* (cbrt (* (pow x 4) 1/720)) (cbrt (* (pow x 4) 1/720))) (cbrt (* (pow x 4) 1/720)) (* (pow x 12) 1/373248000) (sqrt (* (pow x 4) 1/720)) (sqrt (* (pow x 4) 1/720)) (* x (* x (sqrt 1/720))) (* x (* x (sqrt 1/720))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* x (* x (sqrt 1/720))) (* x (* x (sqrt 1/720))) (* (pow x 4) (* (cbrt 1/720) (cbrt 1/720))) (* (pow x 4) (sqrt 1/720)) (pow x 4) (* 1/720 (pow (cbrt x) 4)) (* x (* x 1/720)) (* (pow x 4) 1/720) (* 1/720 (cbrt (pow x 4))) (* 1/720 (sqrt (pow x 4))) (* (pow x 4) 1/720) (* x (* x 1/720)) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (* x -1/24) (* x -1/24) (* x -1/24) (* x (* x -1/24)) (* x (* x -1/24)) (* x (* x -1/24)) (* (pow x 4) 1/720) (* (pow x 4) 1/720) (* (pow x 4) 1/720) 0.521 * * * [progress]: adding candidates to table 0.613 * * [progress]: iteration 4 / 4 0.613 * * * [progress]: picking best candidate 0.634 * * * * [pick]: Picked # 0.634 * * * [progress]: localizing error 0.641 * * * [progress]: generating rewritten candidates 0.641 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.645 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.652 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.657 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.670 * * * [progress]: generating series expansions 0.670 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.670 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [taylor]: Taking taylor expansion of (cos x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [taylor]: Taking taylor expansion of (cos x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.673 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.673 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.673 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.673 * [taylor]: Taking taylor expansion of -1 in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.673 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.673 * [taylor]: Taking taylor expansion of -1 in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.673 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.673 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.673 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.673 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of (cos x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.674 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (cos x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.676 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.676 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.677 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.677 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.677 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.677 * [taylor]: Taking taylor expansion of -1 in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.677 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.677 * [taylor]: Taking taylor expansion of -1 in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.678 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.679 * [approximate]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in (x) around 0 0.679 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [taylor]: Taking taylor expansion of (cos x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [taylor]: Taking taylor expansion of (cos x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.681 * [approximate]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in x 0.681 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in x 0.681 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.683 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.684 * [taylor]: Taking taylor expansion of -1 in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.688 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.688 * [approximate]: Taking taylor expansion of (/ (pow x 2) (- 1.0 (cos x))) in (x) around 0 0.688 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- 1.0 (cos x))) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (cos x) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- 1.0 (cos x))) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (cos x) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.690 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (- 1.0 (cos (/ 1 x))))) in x 0.690 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (- 1.0 (cos (/ 1 x))))) in x 0.690 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.693 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ -1 x))) (pow x 2))) in (x) around 0 0.693 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ -1 x))) (pow x 2))) in x 0.693 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.693 * [taylor]: Taking taylor expansion of -1 in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ -1 x))) (pow x 2))) in x 0.693 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.693 * [taylor]: Taking taylor expansion of -1 in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.695 * * * [progress]: simplifying candidates 0.697 * [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)) (neg 1) (neg 1) (neg (+ (log x) (- (log x) (log (- 1.0 (cos x)))))) (neg (+ (log x) (log (/ x (- 1.0 (cos x)))))) (neg (log (* x (/ x (- 1.0 (cos x)))))) (- 0 (+ (log x) (- (log x) (log (- 1.0 (cos x)))))) (- 0 (+ (log x) (log (/ x (- 1.0 (cos x)))))) (- 0 (log (* x (/ x (- 1.0 (cos x)))))) (- (log 1) (+ (log x) (- (log x) (log (- 1.0 (cos x)))))) (- (log 1) (+ (log x) (log (/ x (- 1.0 (cos x)))))) (- (log 1) (log (* x (/ x (- 1.0 (cos x)))))) (log (/ 1 (* x (/ x (- 1.0 (cos x)))))) (exp (/ 1 (* x (/ x (- 1.0 (cos x)))))) (/ (* (* 1 1) 1) (* (* (* x x) x) (/ (* (* x x) x) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))))) (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x)))))) (/ (* (* 1 1) 1) (* (* (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x))))) (* x (/ x (- 1.0 (cos x)))))) (* (cbrt (/ 1 (* x (/ x (- 1.0 (cos x)))))) (cbrt (/ 1 (* x (/ x (- 1.0 (cos x))))))) (cbrt (/ 1 (* x (/ x (- 1.0 (cos x)))))) (* (* (/ 1 (* x (/ x (- 1.0 (cos x))))) (/ 1 (* x (/ x (- 1.0 (cos x)))))) (/ 1 (* x (/ x (- 1.0 (cos x)))))) (sqrt (/ 1 (* x (/ x (- 1.0 (cos x)))))) (sqrt (/ 1 (* x (/ x (- 1.0 (cos x)))))) (neg 1) (neg (* x (/ x (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) x) (/ (cbrt 1) (/ x (- 1.0 (cos x)))) (/ (sqrt 1) x) (/ (sqrt 1) (/ x (- 1.0 (cos x)))) (/ 1 x) (/ 1 (/ x (- 1.0 (cos x)))) (/ 1 (* x (/ x (- 1.0 (cos x))))) (/ (* x (/ x (- 1.0 (cos x)))) 1) (/ 1 x) (/ (* x (/ x (- 1.0 (cos x)))) (cbrt 1)) (/ (* x (/ x (- 1.0 (cos 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x (- 1.0 (cos x))) (+ 2 (+ (* x (* x 1/6)) (* (pow x 4) 1/120))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x)))) 0.738 * * * [progress]: adding candidates to table 0.851 * [progress]: [Phase 3 of 3] Extracting. 0.851 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 0.853 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.853 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 0.925 * * * [regime]: Found split indices: #