10.733 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.055 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.057 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.058 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.059 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.061 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.062 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.062 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.082 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (cos x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.086 * [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 0.107 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 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 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.120 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.120 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.132 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (cos x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (cos x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.142 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.149 * * * [progress]: simplifying candidates 0.150 * [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)) 0.154 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.158 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.169 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.208 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.209 * [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)) 0.210 * * * [progress]: adding candidates to table 0.302 * * [progress]: iteration 2 / 4 0.302 * * * [progress]: picking best candidate 0.316 * * * * [pick]: Picked # 0.316 * * * [progress]: localizing error 0.326 * * * [progress]: generating rewritten candidates 0.326 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.350 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.358 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.366 * * * [progress]: generating series expansions 0.366 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.366 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.366 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.366 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.366 * [taylor]: Taking taylor expansion of 1/720 in x 0.366 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 1/2 in x 0.366 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of 1/24 in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.367 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.367 * [taylor]: Taking taylor expansion of 1/720 in x 0.367 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of 1/2 in x 0.367 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.367 * [taylor]: Taking taylor expansion of 1/24 in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.374 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.374 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.374 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.374 * [taylor]: Taking taylor expansion of 1/720 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 1/2 in x 0.375 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.375 * [taylor]: Taking taylor expansion of 1/24 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.375 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.375 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.375 * [taylor]: Taking taylor expansion of 1/720 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1/2 in x 0.376 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.376 * [taylor]: Taking taylor expansion of 1/24 in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.391 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.391 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.391 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.391 * [taylor]: Taking taylor expansion of 1/720 in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of 1/2 in x 0.392 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.392 * [taylor]: Taking taylor expansion of 1/24 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.393 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.393 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.393 * [taylor]: Taking taylor expansion of 1/720 in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of 1/2 in x 0.394 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.394 * [taylor]: Taking taylor expansion of 1/24 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.409 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.409 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.409 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of 1/24 in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of 1/24 in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.417 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of 1/24 in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.418 * [taylor]: Taking taylor expansion of 1/24 in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.425 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of 1/24 in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of 1/24 in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.433 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.433 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.433 * [taylor]: Taking taylor expansion of 1/720 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.433 * [taylor]: Taking taylor expansion of 1/720 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.449 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.449 * [taylor]: Taking taylor expansion of 1/720 in x 0.449 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.450 * [taylor]: Taking taylor expansion of 1/720 in x 0.450 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.461 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.461 * [taylor]: Taking taylor expansion of 1/720 in x 0.461 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.462 * [taylor]: Taking taylor expansion of 1/720 in x 0.462 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.473 * * * [progress]: simplifying candidates 0.474 * [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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.479 * * [simplify]: iteration 0 : 268 enodes (cost 347 ) 0.485 * * [simplify]: iteration 1 : 1132 enodes (cost 316 ) 0.509 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.511 * [simplify]: Simplified to: (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (pow (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (- (* 1/24 (pow x 2))) (+ (* (- 1/576) (pow x 4)) (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow x 2)) 1/720 (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) 1/720 (* 1/720 (pow x 2)) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.511 * * * [progress]: adding candidates to table 0.649 * * [progress]: iteration 3 / 4 0.649 * * * [progress]: picking best candidate 0.662 * * * * [pick]: Picked # 0.662 * * * [progress]: localizing error 0.671 * * * [progress]: generating rewritten candidates 0.671 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.677 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.683 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.690 * * * [progress]: generating series expansions 0.690 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.691 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.691 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.691 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.691 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.691 * [taylor]: Taking taylor expansion of 1/720 in x 0.691 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of 1/2 in x 0.691 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of 1/24 in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.691 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.691 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.691 * [taylor]: Taking taylor expansion of 1/720 in x 0.691 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of 1/2 in x 0.691 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of 1/24 in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.698 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.698 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.698 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.698 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.698 * [taylor]: Taking taylor expansion of 1/720 in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.698 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of 1/2 in x 0.699 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.699 * [taylor]: Taking taylor expansion of 1/24 in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.699 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.699 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.699 * [taylor]: Taking taylor expansion of 1/720 in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of 1/2 in x 0.700 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.700 * [taylor]: Taking taylor expansion of 1/24 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.715 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.715 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.715 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.715 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.715 * [taylor]: Taking taylor expansion of 1/720 in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.715 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of 1/2 in x 0.716 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.716 * [taylor]: Taking taylor expansion of 1/24 in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.717 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.717 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.717 * [taylor]: Taking taylor expansion of 1/720 in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.717 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of 1/2 in x 0.717 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.718 * [taylor]: Taking taylor expansion of 1/24 in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.736 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.736 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.736 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.736 * [taylor]: Taking taylor expansion of 1/24 in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.737 * [taylor]: Taking taylor expansion of 1/24 in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.745 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.745 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.745 * [taylor]: Taking taylor expansion of 1/24 in x 0.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.745 * [taylor]: Taking taylor expansion of 1/24 in x 0.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.753 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of 1/24 in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of 1/24 in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.762 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.762 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.762 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.762 * [taylor]: Taking taylor expansion of 1/720 in x 0.762 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.762 * [taylor]: Taking taylor expansion of 1/720 in x 0.762 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.773 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.773 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.773 * [taylor]: Taking taylor expansion of 1/720 in x 0.773 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.774 * [taylor]: Taking taylor expansion of 1/720 in x 0.774 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.785 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.785 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.785 * [taylor]: Taking taylor expansion of 1/720 in x 0.785 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.786 * [taylor]: Taking taylor expansion of 1/720 in x 0.786 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.797 * * * [progress]: simplifying candidates 0.804 * [simplify]: Simplifying using # : (* (exp (* 1/720 (pow x 4))) (/ (exp 1/2) (exp (* 1/24 (pow x 2))))) (* (exp (* 1/720 (pow x 4))) (exp (- 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))))) (* (* (+ (* 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)) 3) (pow (- 1/2 (* 1/24 (pow x 2))) 3)) (+ (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (- (* (- 1/2 (* 1/24 (pow x 2))) (- 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))) (* (- 1/2 (* 1/24 (pow x 2))) (- 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) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (log (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (* (* (* 1/720 1/720) 1/720) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (* (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x (/ 4 2))) (* (sqrt 1/720) (pow x (/ 4 2))) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow (sqrt x) 4)) (* 1/720 (pow 1 4)) (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) (* 1/720 1) (* 1/720 (pow x (/ 4 2))) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.809 * * [simplify]: iteration 0 : 274 enodes (cost 345 ) 0.814 * * [simplify]: iteration 1 : 1103 enodes (cost 314 ) 0.838 * * [simplify]: iteration 2 : 5001 enodes (cost 314 ) 0.841 * [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)) 3) (pow (- 1/2 (* 1/24 (pow x 2))) 3)) (+ (* (- 1/2 (* 1/24 (pow x 2))) (- (- 1/2 (* 1/24 (pow x 2))) (* 1/720 (pow x 4)))) (* 1/518400 (* (pow x 4) (pow x 4)))) (+ (- (* (- 1/2 (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))))) (* (pow x 8) 1/518400)) (- (* 1/720 (pow x 4)) (- 1/2 (* 1/24 (pow x 2)))) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) (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))) (pow (* 1/24 (pow x 2)) 3) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (pow (* 1/24 (pow x 2)) 3) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow x 2)) 1/720 (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) 1/720 (* 1/720 (pow x 2)) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (+ (* 1/720 (pow x 4)) (- 1/2 (* 1/24 (pow x 2)))) (+ (* 1/720 (pow x 4)) (- 1/2 (* 1/24 (pow x 2)))) (+ (* 1/720 (pow x 4)) (- 1/2 (* 1/24 (pow x 2)))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.841 * * * [progress]: adding candidates to table 0.978 * * [progress]: iteration 4 / 4 0.978 * * * [progress]: picking best candidate 0.988 * * * * [pick]: Picked # 0.988 * * * [progress]: localizing error 0.995 * * * [progress]: generating rewritten candidates 0.995 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.998 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.003 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.044 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.065 * * * [progress]: generating series expansions 1.065 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.065 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.065 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of (cos x) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of (cos x) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.080 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.084 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.084 * [taylor]: Taking taylor expansion of -1 in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.084 * [taylor]: Taking taylor expansion of -1 in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.087 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.088 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (cos x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (cos x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.098 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.098 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.098 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.102 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.102 * [taylor]: Taking taylor expansion of -1 in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.102 * [taylor]: Taking taylor expansion of -1 in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.105 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.106 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.106 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.106 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (cos x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [taylor]: Taking taylor expansion of (cos x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.124 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.124 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.125 * [taylor]: Taking taylor expansion of 1.0 in x 1.125 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.137 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.137 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.137 * [taylor]: Taking taylor expansion of 1.0 in x 1.137 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.137 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.137 * [taylor]: Taking taylor expansion of -1 in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.138 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.138 * [taylor]: Taking taylor expansion of 1.0 in x 1.138 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.138 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.138 * [taylor]: Taking taylor expansion of -1 in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.148 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.148 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.148 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.148 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.148 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (cos x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.158 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (cos x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.205 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.205 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.206 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.220 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.220 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.220 * [taylor]: Taking taylor expansion of -1 in x 1.220 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.220 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.220 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.222 * [taylor]: Taking taylor expansion of -1 in x 1.222 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.222 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.222 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.222 * [taylor]: Taking taylor expansion of -1 in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.245 * * * [progress]: simplifying candidates 1.251 * [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 x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (+ 1 1) (+ (- (log (sqrt (- 1.0 (cos x)))) (log x)) (- (log (sqrt (- 1.0 (cos x)))) (log x))) (+ (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x))) (+ (log (/ (sqrt (- 1.0 (cos x))) x)) (- (log (sqrt (- 1.0 (cos x)))) (log x))) (+ (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x))) (log (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x))) (exp (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 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 (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 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 (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 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 (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x))) (* (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (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 (- 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 (- 1.0 (cos x))) x))) (sqrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (* x x) (* (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x)))) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (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 (sqrt (- 1.0 (cos 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(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) 1.337 * * * [progress]: adding candidates to table 1.701 * [progress]: [Phase 3 of 3] Extracting. 1.701 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.702 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.703 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 1.746 * * * [regime]: Found split indices: #