20.131 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.083 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.084 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.085 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.087 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.088 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.088 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.088 * * [progress]: iteration 1 / 4 0.088 * * * [progress]: picking best candidate 0.090 * * * * [pick]: Picked # 0.090 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.102 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.107 * * * [progress]: generating series expansions 0.107 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.107 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (cos x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.126 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.140 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 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 -1 in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 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 -1 in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.156 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.156 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (cos x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (cos x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.167 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.170 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.174 * * * [progress]: simplifying candidates 0.175 * [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)) 0.179 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.183 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.193 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.234 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.236 * [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)) 0.236 * * * [progress]: adding candidates to table 0.327 * * [progress]: iteration 2 / 4 0.327 * * * [progress]: picking best candidate 0.350 * * * * [pick]: Picked # 0.350 * * * [progress]: localizing error 0.359 * * * [progress]: generating rewritten candidates 0.359 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.366 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.371 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.377 * * * [progress]: generating series expansions 0.377 * * * * [progress]: [ 1 / 3 ] 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 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of 1/2 in x 0.378 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of 1/24 in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 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 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of 1/2 in x 0.378 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of 1/24 in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.385 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.385 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.385 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.385 * [taylor]: Taking taylor expansion of 1/720 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1/2 in x 0.386 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.386 * [taylor]: Taking taylor expansion of 1/24 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 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 0.402 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.402 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.402 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.402 * [taylor]: Taking taylor expansion of 1/720 in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of 1/2 in x 0.403 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.403 * [taylor]: Taking taylor expansion of 1/24 in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.403 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.403 * [taylor]: Taking taylor expansion of 1/720 in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of 1/2 in x 0.404 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.404 * [taylor]: Taking taylor expansion of 1/24 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.423 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.423 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.423 * [taylor]: Taking taylor expansion of 1/720 in x 0.423 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.423 * [taylor]: Taking taylor expansion of 1/720 in x 0.423 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.434 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.434 * [taylor]: Taking taylor expansion of 1/720 in x 0.434 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.435 * [taylor]: Taking taylor expansion of 1/720 in x 0.435 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.446 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.446 * [taylor]: Taking taylor expansion of 1/720 in x 0.446 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.447 * [taylor]: Taking taylor expansion of 1/720 in x 0.447 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.458 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.458 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of 1/24 in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of 1/24 in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.465 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.466 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of 1/24 in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of 1/24 in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.473 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.473 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of 1/24 in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of 1/24 in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.481 * * * [progress]: simplifying candidates 0.482 * [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 1/720) (* (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)) (+ (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)) (- (+ (* 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)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.487 * * [simplify]: iteration 0 : 268 enodes (cost 347 ) 0.493 * * [simplify]: iteration 1 : 1132 enodes (cost 316 ) 0.517 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.519 * [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 (* 1/720 (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)) (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)) (- (+ (* 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)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.520 * * * [progress]: adding candidates to table 0.635 * * [progress]: iteration 3 / 4 0.636 * * * [progress]: picking best candidate 0.653 * * * * [pick]: Picked # 0.653 * * * [progress]: localizing error 0.660 * * * [progress]: generating rewritten candidates 0.660 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.664 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.667 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.694 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.712 * * * [progress]: generating series expansions 0.712 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.712 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of (cos x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of (cos x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.723 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.723 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.726 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.726 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.726 * [taylor]: Taking taylor expansion of -1 in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.727 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.727 * [taylor]: Taking taylor expansion of -1 in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.730 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.730 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.730 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (cos x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (cos x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.745 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.748 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.749 * [taylor]: Taking taylor expansion of -1 in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.749 * [taylor]: Taking taylor expansion of -1 in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.752 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.752 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.752 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (cos x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (cos x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.770 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.770 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.771 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.783 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.783 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.783 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.783 * [taylor]: Taking taylor expansion of 1.0 in x 0.783 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.783 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.783 * [taylor]: Taking taylor expansion of -1 in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.783 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.784 * [taylor]: Taking taylor expansion of 1.0 in x 0.784 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.784 * [taylor]: Taking taylor expansion of -1 in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.793 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.794 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.794 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [taylor]: Taking taylor expansion of (cos x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.798 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (cos x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.848 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.848 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.848 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.849 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.863 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.863 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.863 * [taylor]: Taking taylor expansion of -1 in x 0.863 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.863 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.863 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.863 * [taylor]: Taking taylor expansion of -1 in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.864 * [taylor]: Taking taylor expansion of -1 in x 0.864 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.865 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.865 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.865 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.865 * [taylor]: Taking taylor expansion of -1 in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.883 * * * [progress]: simplifying candidates 0.886 * [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)) (+ 1 1) (* (/ (sqrt (- 1.0 (cos 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(cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (* (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt 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)))) (sqrt x))) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) 1) (/ (pow (cbrt (sqrt (- 1.0 (cos x)))) 3) 1)) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (cbrt (sqrt (- 1.0 (cos x)))) x)) (/ (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (cbrt x)) (cbrt x)) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x))) (/ (* (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (fabs (cbrt (- 1.0 (cos x))))) (sqrt x)) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (cbrt (- 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(/ (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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) 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) 0.989 * * * [progress]: adding candidates to table 1.306 * * [progress]: iteration 4 / 4 1.306 * * * [progress]: picking best candidate 1.327 * * * * [pick]: Picked # 1.327 * * * [progress]: localizing error 1.342 * * * [progress]: generating rewritten candidates 1.342 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.347 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.354 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.390 * * * [progress]: generating series expansions 1.391 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.391 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [taylor]: Taking taylor expansion of (cos x) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [taylor]: Taking taylor expansion of (cos x) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.401 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.402 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.405 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.409 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (cos x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (cos x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.423 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.427 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.427 * [taylor]: Taking taylor expansion of -1 in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.427 * [taylor]: Taking taylor expansion of -1 in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.430 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.430 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.430 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (cos x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (cos x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.441 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.441 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.445 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.445 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.445 * [taylor]: Taking taylor expansion of -1 in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.445 * [taylor]: Taking taylor expansion of -1 in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.448 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.449 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.449 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.449 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (cos x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.451 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.451 * [taylor]: Taking taylor expansion of 1.0 in x 1.451 * [taylor]: Taking taylor expansion of (cos x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.466 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.466 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.466 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.467 * [taylor]: Taking taylor expansion of 1.0 in x 1.467 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.480 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.480 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.480 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.480 * [taylor]: Taking taylor expansion of 1.0 in x 1.480 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.480 * [taylor]: Taking taylor expansion of -1 in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.480 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.480 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.480 * [taylor]: Taking taylor expansion of 1.0 in x 1.480 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.480 * [taylor]: Taking taylor expansion of -1 in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.491 * * * [progress]: simplifying candidates 1.493 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (- (cos x)))) (log (exp 1.0)) (log (exp (- (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)))) (- (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)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (+ (- (log (sqrt (- 1.0 (cos x)))) (log x)) (- (log (sqrt (log (exp (- 1.0 (cos x)))))) (log x))) (+ (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (+ (log (/ (sqrt (- 1.0 (cos x))) x)) (- (log (sqrt (log (exp (- 1.0 (cos x)))))) (log x))) (+ (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (log (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (exp (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x 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))) (* (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x 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 (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 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))) (* (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 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))) (* (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (sqrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (sqrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (sqrt (- 1.0 (cos x))) (sqrt (log (exp (- 1.0 (cos x)))))) (* x x) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt 1) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt 1) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ 1 1)) (* (/ (sqrt (- 1.0 (cos x))) x) 1) (* (/ (sqrt (- 1.0 (cos x))) x) (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ 1 x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (sqrt (log (exp (- 1.0 (cos x)))))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.505 * * [simplify]: iteration 0 : 603 enodes (cost 1575 ) 1.515 * * [simplify]: iteration 1 : 2567 enodes (cost 1213 ) 1.551 * * [simplify]: iteration 2 : 5001 enodes (cost 1120 ) 1.557 * [simplify]: Simplified to: 1.0 (- (cos x)) 1.0 (- (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)) (- (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))) (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)) (/ (- 1.0 (cos x)) (pow x 2)) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (pow E (/ (- 1.0 (cos x)) (pow x 2))) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (* (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (fabs (/ (sqrt (- 1.0 (cos x))) x)) (fabs (/ (sqrt (- 1.0 (cos x))) x)) (- 1.0 (cos x)) (pow x 2) (/ (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))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (pow (sqrt (/ (sqrt (- 1.0 (cos x))) x)) 3) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (/ x (/ (cbrt (sqrt (- 1.0 (cos x)))) (/ (sqrt x) (cbrt (sqrt (- 1.0 (cos x)))))))) (* (* (/ (sqrt (- 1.0 (cos x))) x) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (cbrt (- 1.0 (cos x))))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (- (sqrt 1.0) (sqrt (cos x))))) x) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) x) (/ (* (/ (sqrt (- 1.0 (cos x))) x) (fabs (cbrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (* (/ (sqrt (- 1.0 (cos x))) x) (fabs (cbrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (* (sqrt (- 1.0 (cos x))) (fabs (cbrt (log (exp (- 1.0 (cos x))))))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (/ (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (/ (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (- 1.0 (cos x)) x) (/ (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (- 1.0 (cos x)))) x) (pow (sqrt (/ (sqrt (- 1.0 (cos x))) x)) 3) (/ (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (- 1.0 (cos x)))) x) (/ (* (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (sqrt (- 1.0 (cos x)))) x) (/ (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (sqrt (- 1.0 (cos x)))) x) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (sqrt (- 1.0 (cos x)))) x) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x))) (/ (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (sqrt (- 1.0 (cos x)))) x) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (sqrt (- 1.0 (cos x)))) x) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (sqrt (- 1.0 (cos x))) (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.557 * * * [progress]: adding candidates to table 1.863 * [progress]: [Phase 3 of 3] Extracting. 1.863 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.866 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.866 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # #) 1.909 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.961 * * * [regime]: Found split indices: #