17.199 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.056 * * [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 ) 0.060 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.061 * * [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 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.081 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.081 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (cos x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (cos x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.104 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.118 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.118 * [taylor]: Taking taylor expansion of -1 in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.119 * [taylor]: Taking taylor expansion of -1 in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.129 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.129 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (cos x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (cos x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.140 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.146 * [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 0.147 * [taylor]: Taking taylor expansion of x in x 0.152 * * * [progress]: simplifying candidates 0.153 * [simplify]: Simplifying using # : (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.160 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.166 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.181 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.221 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.223 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.223 * * * [progress]: adding candidates to table 0.311 * * [progress]: iteration 2 / 4 0.311 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.336 * * * [progress]: generating rewritten candidates 0.336 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.342 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.348 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.354 * * * [progress]: generating series expansions 0.354 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.355 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.355 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.355 * [taylor]: Taking taylor expansion of 1/720 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 1/2 in x 0.355 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of 1/24 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.355 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.355 * [taylor]: Taking taylor expansion of 1/720 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 1/2 in x 0.355 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of 1/24 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.362 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.362 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.362 * [taylor]: Taking taylor expansion of 1/720 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of 1/24 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.363 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.363 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.363 * [taylor]: Taking taylor expansion of 1/720 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 1/2 in x 0.364 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.364 * [taylor]: Taking taylor expansion of 1/24 in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.379 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.379 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.379 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.379 * [taylor]: Taking taylor expansion of 1/720 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 1/2 in x 0.384 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.384 * [taylor]: Taking taylor expansion of 1/24 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 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 0.385 * [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 0.401 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.401 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.401 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.401 * [taylor]: Taking taylor expansion of 1/720 in x 0.401 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.401 * [taylor]: Taking taylor expansion of 1/720 in x 0.401 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.413 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.413 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.413 * [taylor]: Taking taylor expansion of 1/720 in x 0.413 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.414 * [taylor]: Taking taylor expansion of 1/720 in x 0.414 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.425 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.425 * [taylor]: Taking taylor expansion of 1/720 in x 0.425 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.425 * [taylor]: Taking taylor expansion of 1/720 in x 0.425 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.436 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.436 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of 1/24 in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of 1/24 in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.444 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of 1/24 in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of 1/24 in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.452 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.452 * [taylor]: Taking taylor expansion of 1/24 in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of 1/24 in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.465 * * * [progress]: simplifying candidates 0.466 * [simplify]: Simplifying using # : (/ (* (exp (* 1/720 (pow x 4))) (exp 1/2)) (exp (* 1/24 (pow x 2)))) (/ (exp (+ (* 1/720 (pow x 4)) 1/2)) (exp (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (* (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (neg (* 1/24 (pow x 2))) (- (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2)))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (neg (* 1/24 (pow x 2))) (+ (log 1/720) (* (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)) 0.471 * * [simplify]: iteration 0 : 268 enodes (cost 345 ) 0.477 * * [simplify]: iteration 1 : 1132 enodes (cost 313 ) 0.502 * * [simplify]: iteration 2 : 5001 enodes (cost 307 ) 0.504 * [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)) 0.505 * * * [progress]: adding candidates to table 0.614 * * [progress]: iteration 3 / 4 0.614 * * * [progress]: picking best candidate 0.637 * * * * [pick]: Picked # 0.637 * * * [progress]: localizing error 0.656 * * * [progress]: generating rewritten candidates 0.656 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.660 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.670 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.680 * * * [progress]: generating series expansions 0.680 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.680 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (cos x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (cos x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.691 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.694 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.698 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.698 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.698 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [taylor]: Taking taylor expansion of (cos x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of (cos x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.709 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.713 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.716 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.717 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.717 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [taylor]: Taking taylor expansion of (cos x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.721 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.721 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.721 * [taylor]: Taking taylor expansion of 1.0 in x 0.721 * [taylor]: Taking taylor expansion of (cos x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.774 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.774 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.774 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.775 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.790 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.790 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.790 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.791 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.810 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.810 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.810 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.810 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.810 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (cos x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.814 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of (cos x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.867 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.867 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.867 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.867 * [taylor]: Taking taylor expansion of 1.0 in x 0.867 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.868 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.868 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.883 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.883 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.883 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.883 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.884 * [taylor]: Taking taylor expansion of -1 in x 0.884 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.884 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.884 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.884 * [taylor]: Taking taylor expansion of -1 in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.903 * * * [progress]: simplifying candidates 0.910 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 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1.0 (cos x))) (/ 1 x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.916 * * [simplify]: iteration 0 : 242 enodes (cost 1020 ) 0.920 * * [simplify]: iteration 1 : 706 enodes (cost 972 ) 0.934 * * [simplify]: iteration 2 : 2954 enodes (cost 960 ) 1.004 * * [simplify]: iteration 3 : 5002 enodes (cost 960 ) 1.010 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 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x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 1.011 * * * [progress]: adding candidates to table 1.250 * * [progress]: iteration 4 / 4 1.250 * * * [progress]: picking best candidate 1.276 * * * * [pick]: Picked # 1.276 * * * [progress]: localizing error 1.289 * * * [progress]: generating rewritten candidates 1.289 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 1.293 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.297 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.301 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 1.305 * * * [progress]: generating series expansions 1.305 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 1.305 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.305 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (cos x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (cos x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.316 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.316 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.320 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.320 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.320 * [taylor]: Taking taylor expansion of -1 in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.320 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.320 * [taylor]: Taking taylor expansion of -1 in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.324 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.324 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.324 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of (cos x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of (cos x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.334 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.338 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.338 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.338 * [taylor]: Taking taylor expansion of -1 in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.339 * [taylor]: Taking taylor expansion of -1 in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.342 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.342 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.342 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (cos x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (cos x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.352 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.353 * [taylor]: Taking taylor expansion of 1.0 in x 1.353 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.353 * [taylor]: Taking taylor expansion of 1.0 in x 1.353 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.356 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.357 * [taylor]: Taking taylor expansion of -1 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.357 * [taylor]: Taking taylor expansion of -1 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 1.365 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in (x) around 0 1.365 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 1.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 1.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 1.365 * [taylor]: Taking taylor expansion of 1/3 in x 1.365 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.365 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.365 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [taylor]: Taking taylor expansion of (cos x) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 1.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 1.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 1.369 * [taylor]: Taking taylor expansion of 1/3 in x 1.369 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.369 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (cos x) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.407 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in (x) around 0 1.407 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 1.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 1.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 1.407 * [taylor]: Taking taylor expansion of 1/3 in x 1.407 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.407 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.407 * [taylor]: Taking taylor expansion of 1.0 in x 1.407 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 1.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 1.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 1.407 * [taylor]: Taking taylor expansion of 1/3 in x 1.407 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.407 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.407 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.449 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in (x) around 0 1.449 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 1.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 1.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 1.449 * [taylor]: Taking taylor expansion of 1/3 in x 1.449 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.449 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.449 * [taylor]: Taking taylor expansion of -1 in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 1.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 1.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 1.450 * [taylor]: Taking taylor expansion of 1/3 in x 1.450 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.450 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.450 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.450 * [taylor]: Taking taylor expansion of -1 in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.485 * * * [progress]: simplifying candidates 1.486 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (cbrt (- 1.0 (cos x)))) (exp (cbrt (- 1.0 (cos x)))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt 1) (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt 1) (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (* (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (* 1/6480 (* (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 4)))) (* 1/36 (* (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 2)))) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 1/3) 1.490 * * [simplify]: iteration 0 : 150 enodes (cost 361 ) 1.493 * * [simplify]: iteration 1 : 391 enodes (cost 327 ) 1.500 * * [simplify]: iteration 2 : 1222 enodes (cost 319 ) 1.535 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 1.537 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (cbrt (- 1.0 (cos x)))) (exp (cbrt (- 1.0 (cos x)))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt 1) (pow (- 1.0 (cos x)) 1/3) (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt 1) (pow (- 1.0 (cos x)) 1/3) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (- 1.0 (cos x)) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (* (pow 1/2 1/3) (pow x 2/3)) (+ (+ (* 1/6480 (pow x 4)) 1) (* -1/36 (pow x 2)))) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 1/3) 1.538 * * * [progress]: adding candidates to table 1.718 * [progress]: [Phase 3 of 3] Extracting. 1.718 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.721 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.721 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 1.779 * * * [regime]: Found split indices: #