18.902 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.055 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.057 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.058 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.059 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.060 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.060 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.080 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (cos x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.083 * [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 0.098 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.110 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.110 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.110 * [taylor]: Taking taylor expansion of -1 in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.111 * [taylor]: Taking taylor expansion of -1 in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.125 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.125 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (cos x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (cos x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.135 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.138 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.139 * [taylor]: Taking taylor expansion of -1 in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.139 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.139 * [taylor]: Taking taylor expansion of -1 in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.142 * * * [progress]: simplifying candidates 0.143 * [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)) 0.146 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.150 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.161 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.204 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.206 * [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)) 0.206 * * * [progress]: adding candidates to table 0.292 * * [progress]: iteration 2 / 4 0.292 * * * [progress]: picking best candidate 0.317 * * * * [pick]: Picked # 0.317 * * * [progress]: localizing error 0.327 * * * [progress]: generating rewritten candidates 0.327 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.331 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.334 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.338 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.352 * * * [progress]: generating series expansions 0.352 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.352 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (cos x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (cos x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.363 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.366 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.366 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.367 * [taylor]: Taking taylor expansion of -1 in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.370 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.370 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (cos x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (cos x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.383 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.387 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.391 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.391 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.401 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.404 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.405 * [taylor]: Taking taylor expansion of -1 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.408 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.409 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 0.409 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 0.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 0.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 0.409 * [taylor]: Taking taylor expansion of 1/3 in x 0.409 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 0.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (cos x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 0.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 0.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 0.413 * [taylor]: Taking taylor expansion of 1/3 in x 0.413 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (cos x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.452 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 0.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 0.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 0.452 * [taylor]: Taking taylor expansion of 1/3 in x 0.452 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 0.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 0.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 0.453 * [taylor]: Taking taylor expansion of 1/3 in x 0.453 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 0.453 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.497 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 0.497 * [taylor]: Taking taylor expansion of 1/3 in x 0.497 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.497 * [taylor]: Taking taylor expansion of -1 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 0.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 0.498 * [taylor]: Taking taylor expansion of 1/3 in x 0.498 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.538 * * * [progress]: simplifying candidates 0.540 * [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)) (+ 1/3 1/3) (+ 1 1) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (+ 1 1) (+ (log (cbrt (- 1.0 (cos x)))) (log (cbrt (- 1.0 (cos x))))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (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)))) (* (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))) (cbrt (- 1.0 (cos x))))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 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)) (* 1.0 (cos x)))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ 1.0 (cos x))) (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 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (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 (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* 1 1) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* 2 1/3) (* 2 1) (* (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) 1) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (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)) (- (+ (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (* 4 (log x)) (log 1/4)))))) (exp (* 1/3 (+ (* 4 (log x)) (log 1/4))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (* 4 (log x)) (log 1/4))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 0.548 * * [simplify]: iteration 0 : 224 enodes (cost 813 ) 0.552 * * [simplify]: iteration 1 : 704 enodes (cost 768 ) 0.568 * * [simplify]: iteration 2 : 3166 enodes (cost 698 ) 0.641 * * [simplify]: iteration 3 : 5001 enodes (cost 681 ) 0.645 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (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 (pow (- 1.0 (cos x)) 2) 1/3) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (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 (pow (- 1.0 (cos x)) 2) 1/3) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (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)) 2/3 2 (pow (- 1.0 (cos x)) 2) (pow (pow (- 1.0 (cos x)) 2) 1/3) 2 (* 2 (log (cbrt (- 1.0 (cos x))))) (* 2 (log (cbrt (- 1.0 (cos x))))) (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (pow (- 1.0 (cos x)) 2) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (pow (- 1.0 (cos x)) 2) (fabs (cbrt (- 1.0 (cos x)))) (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 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)) (* 1.0 (cos x)))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x))))) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 2/3 2 (* (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (cbrt (- 1.0 (cos x))) (pow (cbrt (cbrt (- 1.0 (cos x)))) 5) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (cbrt (- 1.0 (cos x))) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (pow (pow (- 1.0 (cos x)) 2) 1/3) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (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 1/4 1/3) (pow x 4/3)) (+ (+ (* 7/6480 (pow x 4)) 1) (* -1/18 (pow x 2)))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 0.646 * * * [progress]: adding candidates to table 0.907 * * [progress]: iteration 3 / 4 0.907 * * * [progress]: picking best candidate 0.939 * * * * [pick]: Picked # 0.939 * * * [progress]: localizing error 0.950 * * * [progress]: generating rewritten candidates 0.950 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.954 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.958 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.962 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.966 * * * [progress]: generating series expansions 0.966 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.966 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.966 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (cos x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (cos x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.978 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.978 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.979 * [taylor]: Taking taylor expansion of 1.0 in x 0.979 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.982 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.982 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.982 * [taylor]: Taking taylor expansion of -1 in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.982 * [taylor]: Taking taylor expansion of -1 in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.986 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.986 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.986 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of (cos x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of (cos x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.996 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.999 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.999 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.999 * [taylor]: Taking taylor expansion of -1 in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.000 * [taylor]: Taking taylor expansion of 1.0 in x 1.000 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.000 * [taylor]: Taking taylor expansion of -1 in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.003 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.003 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2/3) in (x) around 0 1.003 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2/3) in x 1.003 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos x))))) in x 1.003 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos x)))) in x 1.003 * [taylor]: Taking taylor expansion of 2/3 in x 1.003 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (cos x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2/3) in x 1.007 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos x))))) in x 1.007 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos x)))) in x 1.007 * [taylor]: Taking taylor expansion of 2/3 in x 1.007 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (cos x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.041 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2/3) in (x) around 0 1.041 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2/3) in x 1.041 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos (/ 1 x)))))) in x 1.041 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos (/ 1 x))))) in x 1.041 * [taylor]: Taking taylor expansion of 2/3 in x 1.041 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.041 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2/3) in x 1.041 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos (/ 1 x)))))) in x 1.041 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos (/ 1 x))))) in x 1.041 * [taylor]: Taking taylor expansion of 2/3 in x 1.041 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.041 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.078 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2/3) in (x) around 0 1.078 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2/3) in x 1.078 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos (/ -1 x)))))) in x 1.078 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos (/ -1 x))))) in x 1.079 * [taylor]: Taking taylor expansion of 2/3 in x 1.079 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.079 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.079 * [taylor]: Taking taylor expansion of -1 in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2/3) in x 1.079 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos (/ -1 x)))))) in x 1.079 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos (/ -1 x))))) in x 1.079 * [taylor]: Taking taylor expansion of 2/3 in x 1.079 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.079 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.079 * [taylor]: Taking taylor expansion of -1 in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.114 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.114 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in (x) around 0 1.114 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 1.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 1.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 1.114 * [taylor]: Taking taylor expansion of 1/3 in x 1.114 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.114 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.114 * [taylor]: Taking taylor expansion of (cos x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 1.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 1.117 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 1.117 * [taylor]: Taking taylor expansion of 1/3 in x 1.117 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (cos x) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.154 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in (x) around 0 1.154 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 1.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 1.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 1.154 * [taylor]: Taking taylor expansion of 1/3 in x 1.154 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 1.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 1.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 1.155 * [taylor]: Taking taylor expansion of 1/3 in x 1.155 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.155 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.189 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in (x) around 0 1.189 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 1.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 1.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 1.189 * [taylor]: Taking taylor expansion of 1/3 in x 1.189 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.189 * [taylor]: Taking taylor expansion of -1 in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 1.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 1.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 1.190 * [taylor]: Taking taylor expansion of 1/3 in x 1.190 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.190 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.190 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.190 * [taylor]: Taking taylor expansion of -1 in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.227 * * * [progress]: simplifying candidates 1.228 * [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 (- 1.0 (cos x))) 2/3) (* (log (- 1.0 (cos x))) 2/3) (* 1 2/3) (pow (- 1.0 (cos x)) (* (cbrt 2/3) (cbrt 2/3))) (pow (- 1.0 (cos x)) (sqrt 2/3)) (pow (- 1.0 (cos x)) 1) (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 2/3) (pow (cbrt (- 1.0 (cos x))) 2/3) (pow (sqrt (- 1.0 (cos x))) 2/3) (pow (sqrt (- 1.0 (cos x))) 2/3) (pow 1 2/3) (pow (- 1.0 (cos x)) 2/3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 2/3) (pow (- (sqrt 1.0) (sqrt (cos x))) 2/3) (pow 1 2/3) (pow (- 1.0 (cos x)) 2/3) (log (pow (- 1.0 (cos x)) 2/3)) (exp (pow (- 1.0 (cos x)) 2/3)) (* (cbrt (pow (- 1.0 (cos x)) 2/3)) (cbrt (pow (- 1.0 (cos x)) 2/3))) (cbrt (pow (- 1.0 (cos x)) 2/3)) (* (* (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 2/3)) (pow (- 1.0 (cos x)) 2/3)) (sqrt (pow (- 1.0 (cos x)) 2/3)) (sqrt (pow (- 1.0 (cos x)) 2/3)) (pow (- 1.0 (cos x)) (/ 2/3 2)) (pow (- 1.0 (cos x)) (/ 2/3 2)) (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)) (- (+ (exp (* 2/3 (+ (* 2 (log x)) (log 1/2)))) (* 7/6480 (* (exp (* 2/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 4)))) (* 1/18 (* (exp (* 2/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 2)))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 2/3) (- (+ (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) 1.232 * * [simplify]: iteration 0 : 238 enodes (cost 403 ) 1.237 * * [simplify]: iteration 1 : 742 enodes (cost 367 ) 1.251 * * [simplify]: iteration 2 : 2847 enodes (cost 352 ) 1.321 * * [simplify]: iteration 3 : 5001 enodes (cost 352 ) 1.324 * [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) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (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) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (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 (pow (- 1.0 (cos x)) 2/3)) (log (pow (- 1.0 (cos x)) 2/3)) 2/3 (pow (- 1.0 (cos x)) (* (cbrt 2/3) (cbrt 2/3))) (pow (- 1.0 (cos x)) (sqrt 2/3)) (- 1.0 (cos x)) (pow (pow (- 1.0 (cos x)) 2/3) 2/3) (pow (cbrt (- 1.0 (cos x))) 2/3) (pow (sqrt (- 1.0 (cos x))) 2/3) (pow (sqrt (- 1.0 (cos x))) 2/3) 1 (pow (- 1.0 (cos x)) 2/3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 2/3) (pow (- (sqrt 1.0) (sqrt (cos x))) 2/3) 1 (pow (- 1.0 (cos x)) 2/3) (log (pow (- 1.0 (cos x)) 2/3)) (exp (pow (- 1.0 (cos x)) 2/3)) (pow (pow (- 1.0 (cos x)) 2/3) 2/3) (cbrt (pow (- 1.0 (cos x)) 2/3)) (pow (- 1.0 (cos x)) 2) (sqrt (pow (- 1.0 (cos x)) 2/3)) (sqrt (pow (- 1.0 (cos x)) 2/3)) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 1/3) (log (cbrt (- 1.0 (cos x)))) (exp (cbrt (- 1.0 (cos x)))) (cbrt (pow (- 1.0 (cos x)) 2/3)) (pow (pow (- 1.0 (cos x)) 1/3) 1/3) (pow (sqrt (- 1.0 (cos x))) 1/3) (pow (sqrt (- 1.0 (cos x))) 1/3) 1 (pow (- 1.0 (cos x)) 1/3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 1/3) (pow (- (sqrt 1.0) (sqrt (cos x))) 1/3) 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))) (pow (cbrt (- 1.0 (cos x))) 2/3) (pow (pow (- 1.0 (cos x)) 1/3) 1/3) (- 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)) (+ (+ (* (pow x 2) (* -1/18 (* (pow 1/2 2/3) (pow x 4/3)))) (* 7/6480 (* (exp (* 2/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 4)))) (* (pow 1/2 2/3) (pow x 4/3))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 2/3) (+ (+ (* (pow x 2) (* -1/36 (* (pow 1/2 1/3) (pow x 2/3)))) (* 1/6480 (* (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 4)))) (* (pow 1/2 1/3) (pow x 2/3))) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 1/3) 1.324 * * * [progress]: adding candidates to table 1.470 * * [progress]: iteration 4 / 4 1.470 * * * [progress]: picking best candidate 1.504 * * * * [pick]: Picked # 1.504 * * * [progress]: localizing error 1.519 * * * [progress]: generating rewritten candidates 1.519 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.528 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 1.531 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.539 * * * [progress]: generating series expansions 1.539 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.539 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.539 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.539 * [taylor]: Taking taylor expansion of 1.0 in x 1.539 * [taylor]: Taking taylor expansion of (cos x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.539 * [taylor]: Taking taylor expansion of 1.0 in x 1.539 * [taylor]: Taking taylor expansion of (cos x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.549 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.553 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.553 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.554 * [taylor]: Taking taylor expansion of -1 in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.554 * [taylor]: Taking taylor expansion of -1 in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.557 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.557 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.557 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of (cos x) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.557 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of (cos x) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.567 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.567 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.567 * [taylor]: Taking taylor expansion of 1.0 in x 1.567 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.568 * [taylor]: Taking taylor expansion of 1.0 in x 1.568 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.571 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.571 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.571 * [taylor]: Taking taylor expansion of 1.0 in x 1.571 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.571 * [taylor]: Taking taylor expansion of -1 in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.571 * [taylor]: Taking taylor expansion of 1.0 in x 1.571 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.571 * [taylor]: Taking taylor expansion of -1 in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.575 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 1.575 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.575 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.575 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of (cos x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.575 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of (cos x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.585 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.585 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.585 * [taylor]: Taking taylor expansion of 1.0 in x 1.585 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.585 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.588 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.592 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.592 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.592 * [taylor]: Taking taylor expansion of -1 in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.592 * [taylor]: Taking taylor expansion of -1 in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.595 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.595 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2/3) in (x) around 0 1.596 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2/3) in x 1.596 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos x))))) in x 1.596 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos x)))) in x 1.596 * [taylor]: Taking taylor expansion of 2/3 in x 1.596 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.596 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (cos x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2/3) in x 1.599 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos x))))) in x 1.599 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos x)))) in x 1.599 * [taylor]: Taking taylor expansion of 2/3 in x 1.599 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.599 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.599 * [taylor]: Taking taylor expansion of 1.0 in x 1.599 * [taylor]: Taking taylor expansion of (cos x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.635 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2/3) in (x) around 0 1.635 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2/3) in x 1.635 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos (/ 1 x)))))) in x 1.635 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos (/ 1 x))))) in x 1.635 * [taylor]: Taking taylor expansion of 2/3 in x 1.635 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.635 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.635 * [taylor]: Taking taylor expansion of 1.0 in x 1.635 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.635 * [taylor]: Taking taylor expansion of x in x 1.635 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2/3) in x 1.635 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos (/ 1 x)))))) in x 1.635 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos (/ 1 x))))) in x 1.635 * [taylor]: Taking taylor expansion of 2/3 in x 1.635 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.635 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.635 * [taylor]: Taking taylor expansion of 1.0 in x 1.635 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.674 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2/3) in (x) around 0 1.674 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2/3) in x 1.674 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos (/ -1 x)))))) in x 1.674 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos (/ -1 x))))) in x 1.674 * [taylor]: Taking taylor expansion of 2/3 in x 1.675 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.675 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.675 * [taylor]: Taking taylor expansion of 1.0 in x 1.675 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.675 * [taylor]: Taking taylor expansion of -1 in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2/3) in x 1.675 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (- 1.0 (cos (/ -1 x)))))) in x 1.675 * [taylor]: Taking taylor expansion of (* 2/3 (log (- 1.0 (cos (/ -1 x))))) in x 1.675 * [taylor]: Taking taylor expansion of 2/3 in x 1.675 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.675 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.675 * [taylor]: Taking taylor expansion of 1.0 in x 1.675 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.675 * [taylor]: Taking taylor expansion of -1 in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.710 * * * [progress]: simplifying candidates 1.711 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (neg (cos x)))) (log (exp 1.0)) (log (exp (neg (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (* (log (log (exp (- 1.0 (cos x))))) 2/3) (* (log (log (exp (- 1.0 (cos x))))) 2/3) (* 1 2/3) (pow (log (exp (- 1.0 (cos x)))) (* (cbrt 2/3) (cbrt 2/3))) (pow (log (exp (- 1.0 (cos x)))) (sqrt 2/3)) (pow (log (exp (- 1.0 (cos x)))) 1) (pow 1 2/3) (pow (log (exp (- 1.0 (cos x)))) 2/3) (pow (cbrt (- 1.0 (cos x))) 2/3) (pow (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 2/3) (pow (sqrt (- 1.0 (cos x))) 2/3) (pow (log (exp (sqrt (- 1.0 (cos x))))) 2/3) (pow (- 1.0 (cos x)) 2/3) (pow (log (exp 1)) 2/3) (pow (- (sqrt 1.0) (sqrt (cos x))) 2/3) (pow (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) 2/3) (pow (- 1.0 (cos x)) 2/3) (pow (log (exp 1)) 2/3) (pow (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) 2/3) (pow (cbrt (log (exp (- 1.0 (cos x))))) 2/3) (pow (sqrt (log (exp (- 1.0 (cos x))))) 2/3) (pow (sqrt (log (exp (- 1.0 (cos x))))) 2/3) (pow 1 2/3) (pow (log (exp (- 1.0 (cos x)))) 2/3) (log (pow (log (exp (- 1.0 (cos x)))) 2/3)) (exp (pow (log (exp (- 1.0 (cos x)))) 2/3)) (* (cbrt (pow (log (exp (- 1.0 (cos x)))) 2/3)) (cbrt (pow (log (exp (- 1.0 (cos x)))) 2/3))) (cbrt (pow (log (exp (- 1.0 (cos x)))) 2/3)) (* (* (pow (log (exp (- 1.0 (cos x)))) 2/3) (pow (log (exp (- 1.0 (cos x)))) 2/3)) (pow (log (exp (- 1.0 (cos x)))) 2/3)) (sqrt (pow (log (exp (- 1.0 (cos x)))) 2/3)) (sqrt (pow (log (exp (- 1.0 (cos x)))) 2/3)) (pow (log (exp (- 1.0 (cos x)))) (/ 2/3 2)) (pow (log (exp (- 1.0 (cos x)))) (/ 2/3 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (exp (* 2/3 (+ (* 2 (log x)) (log 1/2)))) (* 7/6480 (* (exp (* 2/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 4)))) (* 1/18 (* (exp (* 2/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 2)))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 2/3) 1.716 * * [simplify]: iteration 0 : 238 enodes (cost 413 ) 1.720 * * [simplify]: iteration 1 : 716 enodes (cost 353 ) 1.733 * * [simplify]: iteration 2 : 2524 enodes (cost 347 ) 1.793 * * [simplify]: iteration 3 : 5001 enodes (cost 346 ) 1.796 * [simplify]: Simplified to: 1.0 (neg (cos x)) 1.0 (neg (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (pow (- 1.0 (cos x)) 2/3) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (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)) (* 2/3 (log (- 1.0 (cos x)))) (* 2/3 (log (- 1.0 (cos x)))) 2/3 (pow (log (exp (- 1.0 (cos x)))) (* (cbrt 2/3) (cbrt 2/3))) (pow (log (exp (- 1.0 (cos x)))) (sqrt 2/3)) (- 1.0 (cos x)) 1 (pow (- 1.0 (cos x)) 2/3) (pow (cbrt (- 1.0 (cos x))) 2/3) (pow (pow (- 1.0 (cos x)) 2/3) 2/3) (pow (sqrt (- 1.0 (cos x))) 2/3) (pow (sqrt (- 1.0 (cos x))) 2/3) (pow (- 1.0 (cos x)) 2/3) 1 (pow (- (sqrt 1.0) (sqrt (cos x))) 2/3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 2/3) (pow (- 1.0 (cos x)) 2/3) 1 (pow (pow (- 1.0 (cos x)) 2/3) 2/3) (pow (cbrt (- 1.0 (cos x))) 2/3) (pow (sqrt (- 1.0 (cos x))) 2/3) (pow (sqrt (- 1.0 (cos x))) 2/3) 1 (pow (- 1.0 (cos x)) 2/3) (* 2/3 (log (- 1.0 (cos x)))) (exp (pow (log (exp (- 1.0 (cos x)))) 2/3)) (pow (pow (- 1.0 (cos x)) 2/3) 2/3) (pow (pow (- 1.0 (cos x)) 2/3) 1/3) (pow (- 1.0 (cos x)) 2) (fabs (cbrt (- 1.0 (cos x)))) (fabs (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (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 x 2) (* -1/18 (* (pow 1/2 2/3) (pow x 4/3)))) (* 7/6480 (* (exp (* 2/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 4)))) (* (pow 1/2 2/3) (pow x 4/3))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 2/3) 1.797 * * * [progress]: adding candidates to table 1.969 * [progress]: [Phase 3 of 3] Extracting. 1.969 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 1.972 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.972 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # #) 2.043 * * * [regime]: Found split indices: #