7.849 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.069 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.071 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.072 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.073 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.074 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.075 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.075 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.083 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.090 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.095 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (cos x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (cos x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.098 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.102 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (cos x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (cos x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.103 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.104 * [taylor]: Taking taylor expansion of -1 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.104 * [taylor]: Taking taylor expansion of -1 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * * * [progress]: simplifying candidates 0.105 * [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)) 0.109 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.112 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.123 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.161 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.163 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.164 * * * [progress]: adding candidates to table 0.230 * * [progress]: iteration 2 / 4 0.230 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.269 * * * [progress]: generating rewritten candidates 0.269 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.276 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.281 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.288 * * * [progress]: generating series expansions 0.288 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.288 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.288 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.288 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.288 * [taylor]: Taking taylor expansion of 1/720 in x 0.288 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of 1/2 in x 0.289 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of 1/24 in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.289 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.289 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.289 * [taylor]: Taking taylor expansion of 1/720 in x 0.289 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 1/2 in x 0.289 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of 1/24 in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.290 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.290 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.290 * [taylor]: Taking taylor expansion of 1/720 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 1/2 in x 0.290 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.290 * [taylor]: Taking taylor expansion of 1/24 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.290 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.290 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.290 * [taylor]: Taking taylor expansion of 1/720 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 1/2 in x 0.290 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.290 * [taylor]: Taking taylor expansion of 1/24 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.292 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.292 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.292 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.292 * [taylor]: Taking taylor expansion of 1/720 in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.292 * [taylor]: Taking taylor expansion of 1/24 in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.292 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.292 * [taylor]: Taking taylor expansion of 1/720 in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.292 * [taylor]: Taking taylor expansion of 1/24 in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.293 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of 1/24 in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of 1/24 in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.294 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.294 * [taylor]: Taking taylor expansion of 1/24 in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.294 * [taylor]: Taking taylor expansion of 1/24 in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.295 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of 1/24 in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of 1/24 in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.296 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.296 * [taylor]: Taking taylor expansion of 1/720 in x 0.296 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.296 * [taylor]: Taking taylor expansion of 1/720 in x 0.296 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.297 * [taylor]: Taking taylor expansion of 1/720 in x 0.297 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.298 * [taylor]: Taking taylor expansion of 1/720 in x 0.298 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.299 * [taylor]: Taking taylor expansion of 1/720 in x 0.299 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.299 * [taylor]: Taking taylor expansion of 1/720 in x 0.299 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * * * [progress]: simplifying candidates 0.301 * [simplify]: Simplifying using # : (/ (* (exp (* 1/720 (pow x 4))) (exp 1/2)) (exp (* 1/24 (pow x 2)))) (/ (exp (+ (* 1/720 (pow x 4)) 1/2)) (exp (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 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)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (neg (* 1/24 (pow x 2))) (- (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2)))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (neg (* 1/24 (pow x 2))) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (log (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (* (* (* 1/720 1/720) 1/720) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (* (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 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))) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow (sqrt x) 4)) (* 1/720 (pow 1 4)) (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) (* 1/720 1) (* 1/720 (pow x (/ 4 2))) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 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 (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)) 0.305 * * [simplify]: iteration 0 : 268 enodes (cost 345 ) 0.311 * * [simplify]: iteration 1 : 1132 enodes (cost 313 ) 0.337 * * [simplify]: iteration 2 : 5001 enodes (cost 307 ) 0.339 * [simplify]: Simplified to: (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (pow (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (* -1/24 (pow x 2)) (+ (* -1/576 (pow x 4)) (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (* -1/24 (pow x 2)) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow x 2)) 1/720 (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) 1/720 (* 1/720 (pow x 2)) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 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 (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)) 0.340 * * * [progress]: adding candidates to table 0.439 * * [progress]: iteration 3 / 4 0.439 * * * [progress]: picking best candidate 0.465 * * * * [pick]: Picked # 0.466 * * * [progress]: localizing error 0.474 * * * [progress]: generating rewritten candidates 0.474 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.477 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.481 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.489 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.500 * * * [progress]: generating series expansions 0.501 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.501 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (cos x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (cos x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.503 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.503 * [taylor]: Taking taylor expansion of -1 in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.503 * [taylor]: Taking taylor expansion of -1 in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.504 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.506 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.507 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (cos x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (cos x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.511 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.513 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.516 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.516 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.516 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.516 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (cos x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.516 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (cos x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.519 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.521 * [taylor]: Taking taylor expansion of -1 in x 0.521 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.524 * * * [progress]: simplifying candidates 0.526 * [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)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 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1.0 (cos x))) (/ 1 x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.532 * * [simplify]: iteration 0 : 242 enodes (cost 1020 ) 0.536 * * [simplify]: iteration 1 : 706 enodes (cost 972 ) 0.549 * * [simplify]: iteration 2 : 2954 enodes (cost 960 ) 0.619 * * [simplify]: iteration 3 : 5002 enodes (cost 960 ) 0.625 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 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x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 0.626 * * * [progress]: adding candidates to table 0.815 * * [progress]: iteration 4 / 4 0.815 * * * [progress]: picking best candidate 0.848 * * * * [pick]: Picked # 0.848 * * * [progress]: localizing error 0.861 * * * [progress]: generating rewritten candidates 0.861 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.866 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 0.869 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.873 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.884 * * * [progress]: generating series expansions 0.884 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.885 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.885 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [taylor]: Taking taylor expansion of (cos x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [taylor]: Taking taylor expansion of (cos x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.886 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.887 * [taylor]: Taking taylor expansion of -1 in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.887 * [taylor]: Taking taylor expansion of -1 in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.888 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 0.888 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.888 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (cos x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (cos x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.890 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.890 * [taylor]: Taking taylor expansion of -1 in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.890 * [taylor]: Taking taylor expansion of -1 in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.891 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.891 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.891 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [taylor]: Taking taylor expansion of (cos x) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [taylor]: Taking taylor expansion of (cos x) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.893 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.893 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.893 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.894 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.894 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.894 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.894 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (cos x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.894 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (cos x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.897 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.897 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.898 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.900 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.900 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.900 * [taylor]: Taking taylor expansion of -1 in x 0.900 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.900 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.900 * [taylor]: Taking taylor expansion of -1 in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.900 * [taylor]: Taking taylor expansion of -1 in x 0.900 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.900 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.900 * [taylor]: Taking taylor expansion of -1 in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.902 * * * [progress]: simplifying candidates 0.906 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (neg (cos x)))) (log (exp 1.0)) (log (exp (neg (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (/ (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 (sqrt (log (exp (- 1.0 (cos x)))))) (log x)) (log (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (exp (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (/ (* (* (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt (log (exp (- 1.0 (cos x)))))) (* (* x x) x)) (* (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (* (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (neg (sqrt (log (exp (- 1.0 (cos x)))))) (neg x) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) 1) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) 1) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp 1))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp 1))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (log (exp 1))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (cbrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp 1))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp 1))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (log (exp 1))) x) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) 1) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ 1 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ 1 x) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) 1) (/ x (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ x (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))))) (/ x (sqrt (log (exp (sqrt (- 1.0 (cos x))))))) (/ x (sqrt (log (exp 1)))) (/ x (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x))))))) (/ x (sqrt (log (exp 1)))) (/ x (sqrt (cbrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ x (sqrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 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)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.912 * * [simplify]: iteration 0 : 305 enodes (cost 911 ) 0.916 * * [simplify]: iteration 1 : 837 enodes (cost 822 ) 0.929 * * [simplify]: iteration 2 : 3341 enodes (cost 790 ) 1.003 * * [simplify]: iteration 3 : 5002 enodes (cost 789 ) 1.007 * [simplify]: Simplified to: 1.0 (neg (cos x)) 1.0 (neg (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (pow E (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (pow x 1/2)) (sqrt (cbrt (- 1.0 (cos x)))) (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x)) (sqrt (- 1.0 (cos x))) (/ 1 x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (cbrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (pow x 1/2)) (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x)) (sqrt (- 1.0 (cos x))) (/ 1 x) (/ (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (pow x 1/2)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (fabs (cbrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) x (/ x (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x))))))) x (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 1.008 * * * [progress]: adding candidates to table 1.197 * [progress]: [Phase 3 of 3] Extracting. 1.197 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.200 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.200 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # #) 1.263 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# #) 1.291 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.365 * * * [regime]: Found split indices: #