13.094 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.054 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.055 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.056 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.058 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.059 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.059 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [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 0.089 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (cos x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.104 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.105 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.118 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.118 * [taylor]: Taking taylor expansion of -1 in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.118 * [taylor]: Taking taylor expansion of -1 in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.129 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.129 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (cos x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (cos x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.139 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.143 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.147 * * * [progress]: simplifying candidates 0.148 * [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))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.152 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.156 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.167 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.214 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.222 * [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))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* 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)) 0.223 * * * [progress]: adding candidates to table 0.310 * * [progress]: iteration 2 / 4 0.310 * * * [progress]: picking best candidate 0.323 * * * * [pick]: Picked # 0.323 * * * [progress]: localizing error 0.336 * * * [progress]: generating rewritten candidates 0.336 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.361 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.367 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.373 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.378 * * * [progress]: generating series expansions 0.378 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.378 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.378 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.378 * [taylor]: Taking taylor expansion of 1/720 in x 0.378 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 1/2 in x 0.379 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of 1/24 in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.379 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.379 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.379 * [taylor]: Taking taylor expansion of 1/720 in x 0.379 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 1/2 in x 0.379 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of 1/24 in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.386 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.386 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.386 * [taylor]: Taking taylor expansion of 1/720 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1/2 in x 0.387 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.387 * [taylor]: Taking taylor expansion of 1/24 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.387 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.387 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.387 * [taylor]: Taking taylor expansion of 1/720 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1/2 in x 0.388 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.388 * [taylor]: Taking taylor expansion of 1/24 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.405 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.405 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.405 * [taylor]: Taking taylor expansion of 1/720 in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 1/2 in x 0.406 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.406 * [taylor]: Taking taylor expansion of 1/24 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.406 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.406 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.406 * [taylor]: Taking taylor expansion of 1/720 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of 1/2 in x 0.407 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.407 * [taylor]: Taking taylor expansion of 1/24 in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.428 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.428 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of 1/24 in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of 1/24 in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.436 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of 1/24 in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of 1/24 in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.444 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of 1/24 in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of 1/24 in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.452 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.453 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.453 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.453 * [taylor]: Taking taylor expansion of 1/720 in x 0.453 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.453 * [taylor]: Taking taylor expansion of 1/720 in x 0.453 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.453 * [taylor]: Taking taylor expansion of x in x 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 0.465 * [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 0.477 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.477 * [taylor]: Taking taylor expansion of 1/720 in x 0.477 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.478 * [taylor]: Taking taylor expansion of 1/720 in x 0.478 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.489 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.489 * [approximate]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.489 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.489 * [taylor]: Taking taylor expansion of 1/720 in x 0.489 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1/2 in x 0.489 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.489 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.489 * [taylor]: Taking taylor expansion of 1/720 in x 0.489 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1/2 in x 0.508 * [approximate]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in (x) around 0 0.509 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.509 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.509 * [taylor]: Taking taylor expansion of 1/720 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.509 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 1/2 in x 0.509 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.509 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.509 * [taylor]: Taking taylor expansion of 1/720 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.509 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1/2 in x 0.541 * [approximate]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.541 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.541 * [taylor]: Taking taylor expansion of 1/720 in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.541 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of 1/2 in x 0.542 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.542 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.542 * [taylor]: Taking taylor expansion of 1/720 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.542 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of 1/2 in x 0.574 * * * [progress]: simplifying candidates 0.575 * [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))))) (- (* 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))) (- (* 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)) (* (exp (* 1/720 (pow x 4))) (exp 1/2)) (log (+ (* 1/720 (pow x 4)) 1/2)) (exp (+ (* 1/720 (pow x 4)) 1/2)) (* (cbrt (+ (* 1/720 (pow x 4)) 1/2)) (cbrt (+ (* 1/720 (pow x 4)) 1/2))) (cbrt (+ (* 1/720 (pow x 4)) 1/2)) (* (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (+ (* 1/720 (pow x 4)) 1/2)) (sqrt (+ (* 1/720 (pow x 4)) 1/2)) (sqrt (+ (* 1/720 (pow x 4)) 1/2)) (+ (pow (* 1/720 (pow x 4)) 3) (pow 1/2 3)) (+ (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (- (* 1/2 1/2) (* (* 1/720 (pow x 4)) 1/2))) (- (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (* 1/2 1/2)) (- (* 1/720 (pow x 4)) 1/2) (- (+ (* 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))) (* 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)) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) 0.586 * * [simplify]: iteration 0 : 312 enodes (cost 411 ) 0.592 * * [simplify]: iteration 1 : 1312 enodes (cost 380 ) 0.621 * * [simplify]: iteration 2 : 5001 enodes (cost 373 ) 0.623 * [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)) (exp (+ (* 1/720 (pow x 4)) 1/2)) (log (+ (* 1/720 (pow x 4)) 1/2)) (exp (+ (* 1/720 (pow x 4)) 1/2)) (* (cbrt (+ (* 1/720 (pow x 4)) 1/2)) (cbrt (+ (* 1/720 (pow x 4)) 1/2))) (cbrt (+ (* 1/720 (pow x 4)) 1/2)) (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (sqrt (+ (* 1/720 (pow x 4)) 1/2)) (sqrt (+ (* 1/720 (pow x 4)) 1/2)) (+ (pow (* 1/720 (pow x 4)) 3) 1/8) (+ 1/4 (- (* (pow x 8) 1/518400) (* 1/1440 (pow x 4)))) (+ (- 1/4) (* (pow x 8) 1/518400)) (- (* 1/720 (pow x 4)) 1/2) (- (+ (* 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))) (* 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)) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) 0.624 * * * [progress]: adding candidates to table 0.796 * * [progress]: iteration 3 / 4 0.796 * * * [progress]: picking best candidate 0.807 * * * * [pick]: Picked # 0.807 * * * [progress]: localizing error 0.814 * * * [progress]: generating rewritten candidates 0.814 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.817 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.820 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.828 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.841 * * * [progress]: generating series expansions 0.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.841 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.841 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.841 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [taylor]: Taking taylor expansion of (cos x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.841 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [taylor]: Taking taylor expansion of (cos x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.852 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.852 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.856 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.856 * [taylor]: Taking taylor expansion of -1 in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.856 * [taylor]: Taking taylor expansion of -1 in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.860 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.860 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.860 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (cos x) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (cos x) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.875 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.875 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.879 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.883 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.883 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.883 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.883 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (cos x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos 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 0.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.936 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.958 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.958 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.958 * [taylor]: Taking taylor expansion of -1 in x 0.958 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.958 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.958 * [taylor]: Taking taylor expansion of -1 in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.959 * [taylor]: Taking taylor expansion of -1 in x 0.959 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.959 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.959 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.959 * [taylor]: Taking taylor expansion of 1.0 in x 0.959 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.960 * [taylor]: Taking taylor expansion of -1 in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.978 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.979 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.979 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.979 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.979 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.979 * [taylor]: Taking taylor expansion of 1.0 in x 0.979 * [taylor]: Taking taylor expansion of (cos x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.983 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.983 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (cos x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 1.031 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.031 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.031 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.032 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.053 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.053 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.053 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.053 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in x 1.053 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.054 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.054 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.054 * [taylor]: Taking taylor expansion of -1 in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.073 * * * [progress]: simplifying candidates 1.075 * [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)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (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)) (- (sqrt (- 1.0 (cos x)))) (- 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 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 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)))) 1) (/ (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 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))) 1) (/ 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)))) (- (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)) (- (sqrt (- 1.0 (cos x)))) (- 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 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 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)))) 1) (/ (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 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))) 1) (/ 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)) (+ (* 1/48 (/ (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)) (- (+ (* 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)) 1.080 * * [simplify]: iteration 0 : 242 enodes (cost 1020 ) 1.084 * * [simplify]: iteration 1 : 706 enodes (cost 972 ) 1.097 * * [simplify]: iteration 2 : 2968 enodes (cost 960 ) 1.168 * * [simplify]: iteration 3 : 5002 enodes (cost 960 ) 1.172 * [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)) (- (cos x)) (- (* 1.0 1.0) 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(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)))) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- 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))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (/ (fabs (cbrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (pow x 1/2)) (fabs (cbrt (- 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) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (pow x 1/2)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (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 (- 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) 1.173 * * * [progress]: adding candidates to table 1.587 * * [progress]: iteration 4 / 4 1.587 * * * [progress]: picking best candidate 1.601 * * * * [pick]: Picked # 1.601 * * * [progress]: localizing error 1.614 * * * [progress]: generating rewritten candidates 1.614 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.617 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1) 1.619 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.624 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.631 * * * [progress]: generating series expansions 1.631 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.631 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.631 * [taylor]: Taking taylor expansion of (cos x) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.631 * [taylor]: Taking taylor expansion of (cos x) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.645 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.645 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.645 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.645 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.649 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.649 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.649 * [taylor]: Taking taylor expansion of 1.0 in x 1.649 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.649 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.649 * [taylor]: Taking taylor expansion of -1 in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.649 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.649 * [taylor]: Taking taylor expansion of 1.0 in x 1.649 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.649 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.649 * [taylor]: Taking taylor expansion of -1 in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.653 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1) 1.653 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.653 * [taylor]: Taking taylor expansion of 1.0 in x 1.653 * [taylor]: Taking taylor expansion of (cos x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.653 * [taylor]: Taking taylor expansion of 1.0 in x 1.653 * [taylor]: Taking taylor expansion of (cos x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.663 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.663 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.664 * [taylor]: Taking taylor expansion of 1.0 in x 1.664 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.667 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.667 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.667 * [taylor]: Taking taylor expansion of 1.0 in x 1.667 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.667 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.667 * [taylor]: Taking taylor expansion of -1 in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.667 * [taylor]: Taking taylor expansion of 1.0 in x 1.667 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.667 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.667 * [taylor]: Taking taylor expansion of -1 in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.671 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.671 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.671 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.671 * [taylor]: Taking taylor expansion of 1.0 in x 1.671 * [taylor]: Taking taylor expansion of (cos x) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.671 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.671 * [taylor]: Taking taylor expansion of 1.0 in x 1.671 * [taylor]: Taking taylor expansion of (cos x) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.681 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.681 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.681 * [taylor]: Taking taylor expansion of 1.0 in x 1.681 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.682 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.685 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.685 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.685 * [taylor]: Taking taylor expansion of 1.0 in x 1.685 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.685 * [taylor]: Taking taylor expansion of -1 in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.686 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.686 * [taylor]: Taking taylor expansion of 1.0 in x 1.686 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.686 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.686 * [taylor]: Taking taylor expansion of -1 in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.689 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.689 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 3) in (x) around 0 1.689 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 3) in x 1.689 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.689 * [taylor]: Taking taylor expansion of 1.0 in x 1.689 * [taylor]: Taking taylor expansion of (cos x) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 3) in x 1.692 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.692 * [taylor]: Taking taylor expansion of 1.0 in x 1.692 * [taylor]: Taking taylor expansion of (cos x) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.708 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 3) in (x) around 0 1.708 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 3) in x 1.708 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.708 * [taylor]: Taking taylor expansion of 1.0 in x 1.708 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 3) in x 1.708 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.708 * [taylor]: Taking taylor expansion of 1.0 in x 1.708 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.721 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 3) in (x) around 0 1.721 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 3) in x 1.721 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.721 * [taylor]: Taking taylor expansion of -1 in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 3) in x 1.721 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.721 * [taylor]: Taking taylor expansion of -1 in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.736 * * * [progress]: simplifying candidates 1.738 * [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)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (cbrt (pow (- 1.0 (cos x)) 3))) (exp (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 3)) (cbrt (pow (cbrt (- 1.0 (cos x))) 3)) (cbrt (pow (sqrt (- 1.0 (cos x))) 3)) (cbrt (pow (sqrt (- 1.0 (cos x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 3)) (cbrt (pow (- (sqrt 1.0) (sqrt (cos x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (- 1.0 (cos x)) 3)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 3)) (cbrt (pow (cbrt (- 1.0 (cos x))) 3)) (cbrt (pow (sqrt (- 1.0 (cos x))) 3)) (cbrt (pow (sqrt (- 1.0 (cos x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 3)) (cbrt (pow (- (sqrt 1.0) (sqrt (cos x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (sqrt (pow (- 1.0 (cos x)) 3))) (cbrt (sqrt (pow (- 1.0 (cos x)) 3))) (cbrt 1) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (- 1.0 (cos x)) (/ 3 2))) (cbrt (pow (- 1.0 (cos x)) (/ 3 2))) (cbrt (pow (- (pow 1.0 3) (pow (cos x) 3)) 3)) (cbrt (pow (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) 3)) (cbrt (pow (- (* 1.0 1.0) (* (cos x) (cos x))) 3)) (cbrt (pow (+ 1.0 (cos x)) 3)) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (cbrt (pow (- 1.0 (cos x)) 3)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 3))) (* (* (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (pow (- 1.0 (cos x)) 3))) (sqrt (cbrt (pow (- 1.0 (cos x)) 3))) (sqrt (cbrt (pow (- 1.0 (cos x)) 3))) (* (log (- 1.0 (cos x))) 3) (* (log (- 1.0 (cos x))) 3) (* 1 3) (pow (- 1.0 (cos x)) (* (cbrt 3) (cbrt 3))) (pow (- 1.0 (cos x)) (sqrt 3)) (pow (- 1.0 (cos x)) 1) (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 3) (pow (cbrt (- 1.0 (cos x))) 3) (pow (sqrt (- 1.0 (cos x))) 3) (pow (sqrt (- 1.0 (cos x))) 3) (pow 1 3) (pow (- 1.0 (cos x)) 3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 3) (pow (- (sqrt 1.0) (sqrt (cos x))) 3) (pow 1 3) (pow (- 1.0 (cos x)) 3) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (log (pow (- 1.0 (cos x)) 3)) (exp (pow (- 1.0 (cos x)) 3)) (* (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (pow (- 1.0 (cos x)) 3)) (* (* (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 3)) (pow (- 1.0 (cos x)) 3)) (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 3) (pow (cbrt (- 1.0 (cos x))) 3) (pow (sqrt (- 1.0 (cos x))) 3) (pow (sqrt (- 1.0 (cos x))) 3) (pow 1 3) (pow (- 1.0 (cos x)) 3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 3) (pow (- (sqrt 1.0) (sqrt (cos x))) 3) (pow 1 3) (pow (- 1.0 (cos x)) 3) (pow (- (pow 1.0 3) (pow (cos x) 3)) 3) (pow (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) 3) (pow (- (* 1.0 1.0) (* (cos x) (cos x))) 3) (pow (+ 1.0 (cos x)) 3) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (sqrt (pow (- 1.0 (cos x)) 3)) (sqrt (pow (- 1.0 (cos x)) 3)) (pow (- 1.0 (cos x)) (/ 3 2)) (pow (- 1.0 (cos x)) (/ 3 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (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)) (- (+ (* 1/8 (pow x 6)) (* 7/1920 (pow x 10))) (* 1/32 (pow x 8))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 3) 1.743 * * [simplify]: iteration 0 : 235 enodes (cost 459 ) 1.748 * * [simplify]: iteration 1 : 895 enodes (cost 444 ) 1.769 * * [simplify]: iteration 2 : 5001 enodes (cost 438 ) 1.771 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (cbrt (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (sqrt (pow (- 1.0 (cos x)) 3))) (cbrt (sqrt (pow (- 1.0 (cos x)) 3))) 1 (- 1.0 (cos x)) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (cbrt (* (- 1.0 (cos x)) (- 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))) (log (pow (- 1.0 (cos x)) 3)) (log (pow (- 1.0 (cos x)) 3)) 3 (pow (- 1.0 (cos x)) (* (cbrt 3) (cbrt 3))) (pow (- 1.0 (cos x)) (sqrt 3)) (- 1.0 (cos x)) (pow (- 1.0 (cos x)) 2) (- 1.0 (cos x)) (pow (- 1.0 (cos x)) 3/2) (pow (- 1.0 (cos x)) 3/2) 1 (pow (- 1.0 (cos x)) 3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 3) (pow (- (sqrt 1.0) (sqrt (cos x))) 3) 1 (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 2) (log (pow (- 1.0 (cos x)) 3)) (exp (pow (- 1.0 (cos x)) 3)) (pow (- 1.0 (cos x)) 2) (- 1.0 (cos x)) (pow (pow (- 1.0 (cos x)) 3) 3) (pow (- 1.0 (cos x)) 2) (- 1.0 (cos x)) (pow (- 1.0 (cos x)) 3/2) (pow (- 1.0 (cos x)) 3/2) 1 (pow (- 1.0 (cos x)) 3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 3) (pow (- (sqrt 1.0) (sqrt (cos x))) 3) 1 (pow (- 1.0 (cos x)) 3) (pow (- (pow 1.0 3) (pow (cos x) 3)) 3) (pow (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) 3) (pow (- (* 1.0 1.0) (* (cos x) (cos x))) 3) (pow (+ 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 2) (sqrt (pow (- 1.0 (cos x)) 3)) (sqrt (pow (- 1.0 (cos x)) 3)) (pow (- 1.0 (cos x)) 3/2) (pow (- 1.0 (cos x)) 3/2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (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)) (- (+ (* 1/8 (pow x 6)) (* 7/1920 (pow x 10))) (* 1/32 (pow x 8))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 3) 1.772 * * * [progress]: adding candidates to table 1.974 * [progress]: [Phase 3 of 3] Extracting. 1.974 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.976 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.976 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # #) 2.012 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 2.054 * * * [regime]: Found split indices: #