11.694 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.050 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.051 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.052 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.054 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.055 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.055 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.074 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.074 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (cos x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (cos x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.092 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.092 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.109 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [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 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 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 0.121 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.121 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (cos x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (cos x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.131 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.134 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.134 * [taylor]: Taking taylor expansion of -1 in x 0.134 * [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 -1 in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.138 * * * [progress]: simplifying candidates 0.139 * [simplify]: Simplifying using # : (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.142 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.146 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.157 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.195 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.197 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.197 * * * [progress]: adding candidates to table 0.286 * * [progress]: iteration 2 / 4 0.286 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.316 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.320 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.323 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.337 * * * [progress]: generating series expansions 0.337 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.337 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [taylor]: Taking taylor expansion of (cos x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [taylor]: Taking taylor expansion of (cos x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.347 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.351 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.358 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.359 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (cos x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (cos x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.369 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.372 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.373 * [taylor]: Taking taylor expansion of -1 in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.376 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.376 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (cos x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (cos x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.386 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [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 x in x 0.390 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.394 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.394 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 0.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 0.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 0.394 * [taylor]: Taking taylor expansion of 1/3 in x 0.394 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (cos x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 0.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 0.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 0.398 * [taylor]: Taking taylor expansion of 1/3 in x 0.398 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (cos x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.442 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 0.442 * [taylor]: Taking taylor expansion of 1/3 in x 0.442 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 0.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 0.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 0.443 * [taylor]: Taking taylor expansion of 1/3 in x 0.443 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.484 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 0.484 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 0.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 0.484 * [taylor]: Taking taylor expansion of 1/3 in x 0.484 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 0.484 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.484 * [taylor]: Taking taylor expansion of -1 in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 0.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 0.485 * [taylor]: Taking taylor expansion of 1/3 in x 0.485 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.532 * * * [progress]: simplifying candidates 0.533 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (+ 1/3 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) 0.538 * * [simplify]: iteration 0 : 224 enodes (cost 813 ) 0.542 * * [simplify]: iteration 1 : 704 enodes (cost 769 ) 0.558 * * [simplify]: iteration 2 : 3166 enodes (cost 698 ) 0.628 * * [simplify]: iteration 3 : 5001 enodes (cost 681 ) 0.631 * [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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) 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) 0.631 * * * [progress]: adding candidates to table 0.855 * * [progress]: iteration 3 / 4 0.855 * * * [progress]: picking best candidate 0.875 * * * * [pick]: Picked # 0.875 * * * [progress]: localizing error 0.889 * * * [progress]: generating rewritten candidates 0.890 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.893 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1 1) 0.897 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 0.900 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1) 0.905 * * * [progress]: generating series expansions 0.905 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.905 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.905 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (cos x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (cos x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.916 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.923 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.923 * [taylor]: Taking taylor expansion of -1 in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.923 * [taylor]: Taking taylor expansion of -1 in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.927 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1 1) 0.927 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.927 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (cos x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (cos x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.937 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.941 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.941 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.941 * [taylor]: Taking taylor expansion of -1 in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.941 * [taylor]: Taking taylor expansion of -1 in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.944 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 0.944 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (cos x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (cos x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.954 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.954 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.958 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.958 * [taylor]: Taking taylor expansion of -1 in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.959 * [taylor]: Taking taylor expansion of 1.0 in x 0.959 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.959 * [taylor]: Taking taylor expansion of -1 in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.962 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1) 0.962 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.962 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of (cos x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of (cos x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.972 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.972 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.976 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.976 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.976 * [taylor]: Taking taylor expansion of -1 in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.976 * [taylor]: Taking taylor expansion of -1 in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.979 * * * [progress]: simplifying candidates 0.980 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.983 * * [simplify]: iteration 0 : 88 enodes (cost 304 ) 0.985 * * [simplify]: iteration 1 : 226 enodes (cost 284 ) 0.989 * * [simplify]: iteration 2 : 608 enodes (cost 284 ) 1.005 * * [simplify]: iteration 3 : 2555 enodes (cost 284 ) 1.082 * * [simplify]: iteration 4 : 5001 enodes (cost 284 ) 1.084 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.084 * * * [progress]: adding candidates to table 1.286 * * [progress]: iteration 4 / 4 1.286 * * * [progress]: picking best candidate 1.304 * * * * [pick]: Picked # 1.304 * * * [progress]: localizing error 1.311 * * * [progress]: generating rewritten candidates 1.311 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.319 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.324 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.330 * * * [progress]: generating series expansions 1.330 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.330 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in (x) around 0 1.330 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.330 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.331 * [taylor]: Taking taylor expansion of (cos x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.331 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.332 * [taylor]: Taking taylor expansion of (cos x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.364 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in (x) around 0 1.364 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.364 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.365 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.365 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.385 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in (x) around 0 1.385 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.385 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.385 * [taylor]: Taking taylor expansion of 1.0 in x 1.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.385 * [taylor]: Taking taylor expansion of -1 in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.386 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.386 * [taylor]: Taking taylor expansion of 1.0 in x 1.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.386 * [taylor]: Taking taylor expansion of -1 in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.405 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.405 * [approximate]: Taking taylor expansion of (/ 1.0 (pow x 2)) in (x) around 0 1.405 * [taylor]: Taking taylor expansion of (/ 1.0 (pow x 2)) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (/ 1.0 (pow x 2)) in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.413 * [approximate]: Taking taylor expansion of (* 1.0 (pow x 2)) in (x) around 0 1.413 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.421 * [approximate]: Taking taylor expansion of (* 1.0 (pow x 2)) in (x) around 0 1.421 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.429 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.429 * [approximate]: Taking taylor expansion of (/ (cos x) (pow x 2)) in (x) around 0 1.429 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.429 * [taylor]: Taking taylor expansion of (cos x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.430 * [taylor]: Taking taylor expansion of (cos x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.442 * [approximate]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in (x) around 0 1.442 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.452 * [approximate]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in (x) around 0 1.452 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.452 * [taylor]: Taking taylor expansion of -1 in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.452 * [taylor]: Taking taylor expansion of -1 in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.462 * * * [progress]: simplifying candidates 1.463 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 (* x x))) (exp (/ (cos x) (* x x)))) (log (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (exp (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (* (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (* (* (- (/ 1.0 (* x x)) (/ (cos x) (* x x))) (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (- 1.0 (cos x)) (- (* 1.0 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x)) (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3)) (+ (* (/ 1.0 (* x x)) (/ 1.0 (* x x))) (+ (* (/ (cos x) (* x x)) (/ (cos x) (* x x))) (* (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (- (/ (cos x) (* x x))) (- (* (/ 1.0 (* x x)) (/ 1.0 (* x x))) (* (/ (cos x) (* x x)) (/ (cos x) (* x x)))) (+ (/ 1.0 (* x x)) (/ (cos x) (* x x))) (+ (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x)))) (- (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x)))) (+ (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x)) (- (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x)) (+ (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x)))) (- (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x)))) (+ (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x)) (- (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x)) (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 (* x x)) (/ (cos x) (* x x))) (- 1.0 (cos x)) (- (/ (cos x) (* x x))) (- (log 1.0) (+ (log x) (log x))) (- (log 1.0) (log (* x x))) (log (/ 1.0 (* x x))) (exp (/ 1.0 (* x x))) (/ (* (* 1.0 1.0) 1.0) (* (* (* x x) x) (* (* x x) x))) (/ (* (* 1.0 1.0) 1.0) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x)))) (cbrt (/ 1.0 (* x x))) (* (* (/ 1.0 (* x x)) (/ 1.0 (* x x))) (/ 1.0 (* x x))) (sqrt (/ 1.0 (* x x))) (sqrt (/ 1.0 (* x x))) (- 1.0) (- (* x x)) (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) x) (/ (sqrt 1.0) x) (/ (sqrt 1.0) x) (/ 1 x) (/ 1.0 x) (/ 1 (* x x)) (/ (* x x) 1.0) (/ 1.0 x) (/ (* x x) (cbrt 1.0)) (/ (* x x) (sqrt 1.0)) (/ (* x x) 1.0) (- (log (cos x)) (+ (log x) (log x))) (- (log (cos x)) (log (* x x))) (log (/ (cos x) (* x x))) (exp (/ (cos x) (* x x))) (/ (* (* (cos x) (cos x)) (cos x)) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (cos x) (cos x)) (cos x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (cos x) (* x x))) (cbrt (/ (cos x) (* x x)))) (cbrt (/ (cos x) (* x x))) (* (* (/ (cos x) (* x x)) (/ (cos x) (* x x))) (/ (cos x) (* x x))) (sqrt (/ (cos x) (* x x))) (sqrt (/ (cos x) (* x x))) (- (cos x)) (- (* x x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) x) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) x) (/ (sqrt (cos x)) x) (/ 1 x) (/ (cos x) x) (/ 1 (* x x)) (/ (* x x) (cos x)) (/ (cos x) x) (/ (* x x) (cbrt (cos x))) (/ (* x x) (sqrt (cos x))) (/ (* x x) (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ 1.0 (pow x 2)) (/ 1.0 (pow x 2)) (/ 1.0 (pow x 2)) (- (+ (* 1/24 (pow x 2)) (/ 1 (pow x 2))) 1/2) (/ (cos x) (pow x 2)) (/ (cos x) (pow x 2)) 1.467 * * [simplify]: iteration 0 : 269 enodes (cost 413 ) 1.471 * * [simplify]: iteration 1 : 885 enodes (cost 365 ) 1.483 * * [simplify]: iteration 2 : 3007 enodes (cost 362 ) 1.524 * * [simplify]: iteration 3 : 5001 enodes (cost 362 ) 1.526 * [simplify]: Simplified to: (exp (/ (- 1.0 (cos x)) (pow x 2))) (- (log (- 1.0 (cos x))) (log (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (* (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (- 1.0 (cos x)) (* (pow x 2) (- 1.0 (cos x))) (pow x 4) (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3)) (+ (* (/ 1.0 (* (* x x) x)) (+ (/ 1.0 x) (/ (cos x) x))) (/ (cos x) (/ (pow x 4) (cos x)))) (- (/ (cos x) (* x x))) (* (+ (/ 1.0 (* x x)) (/ (cos x) (* x x))) (/ (- 1.0 (cos x)) (pow x 2))) (+ (/ 1.0 (* x x)) (/ (cos x) (* x x))) (+ (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x)))) (- (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x)))) (+ (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x)) (- (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x)) (+ (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x)))) (- (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x)))) (+ (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x)) (- (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) (pow x 2)) (- 1.0 (cos x)) (- (/ (cos x) (* x x))) (log (/ 1.0 (* x x))) (log (/ 1.0 (* x x))) (log (/ 1.0 (* x x))) (exp (/ 1.0 (* x x))) (pow (/ 1.0 (* x x)) 3) (pow (/ 1.0 (* x x)) 3) (* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x)))) (cbrt (/ 1.0 (* x x))) (pow (/ 1.0 (* x x)) 3) (sqrt (/ 1.0 (* x x))) (sqrt (/ 1.0 (* x x))) (- 1.0) (- (* x x)) (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) x) (/ (sqrt 1.0) x) (/ (sqrt 1.0) x) (/ 1 x) (/ 1.0 x) (/ 1 (* x x)) (/ (* x x) 1.0) (/ 1.0 x) (/ (* x x) (cbrt 1.0)) (/ (* x x) (sqrt 1.0)) (/ (* x x) 1.0) (log (/ (cos x) (* x x))) (log (/ (cos x) (* x x))) (log (/ (cos x) (* x x))) (exp (/ (cos x) (* x x))) (pow (/ (cos x) (* x x)) 3) (pow (/ (cos x) (* x x)) 3) (* (cbrt (/ (cos x) (* x x))) (cbrt (/ (cos x) (* x x)))) (cbrt (/ (cos x) (* x x))) (pow (/ (cos x) (* x x)) 3) (sqrt (/ (cos x) (* x x))) (sqrt (/ (cos x) (* x x))) (- (cos x)) (- (* x x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) x) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) x) (/ (sqrt (cos x)) x) (/ 1 x) (/ (cos x) x) (/ 1 (* x x)) (/ (* x x) (cos x)) (/ (cos x) x) (/ (* x x) (cbrt (cos x))) (/ (* x x) (sqrt (cos x))) (/ (* x x) (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ 1.0 (* x x)) (/ 1.0 (* x x)) (/ 1.0 (* x x)) (- (+ (* 1/24 (pow x 2)) (/ 1 (pow x 2))) 1/2) (/ (cos x) (* x x)) (/ (cos x) (* x x)) 1.526 * * * [progress]: adding candidates to table 1.652 * [progress]: [Phase 3 of 3] Extracting. 1.652 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 1.654 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.654 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # #) 1.688 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# #) 1.701 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 1.746 * * * [regime]: Found split indices: #