6.021 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.128 * * * [progress]: [2/2] Setting up program. 0.130 * [progress]: [Phase 2 of 3] Improving. 0.130 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.133 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.134 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.135 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.136 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.136 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.137 * * [progress]: iteration 1 / 4 0.137 * * * [progress]: picking best candidate 0.138 * * * * [pick]: Picked # 0.138 * * * [progress]: localizing error 0.145 * * * [progress]: generating rewritten candidates 0.145 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.149 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.156 * * * [progress]: generating series expansions 0.156 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.157 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (cos x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (cos x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.167 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.175 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.175 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (cos x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (sin x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (cos x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (sin x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.201 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.202 * [taylor]: Taking taylor expansion of -1 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.202 * [taylor]: Taking taylor expansion of -1 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.212 * * * [progress]: simplifying candidates 0.213 * [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)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin 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)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.217 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.221 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.233 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.289 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.291 * [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)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (sin 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)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.292 * * * [progress]: adding candidates to table 0.410 * * [progress]: iteration 2 / 4 0.410 * * * [progress]: picking best candidate 0.433 * * * * [pick]: Picked # 0.433 * * * [progress]: localizing error 0.443 * * * [progress]: generating rewritten candidates 0.443 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.448 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.452 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.457 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.468 * * * [progress]: generating series expansions 0.468 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.468 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (cos x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (cos x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.482 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.486 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.486 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.486 * [taylor]: Taking taylor expansion of -1 in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.487 * [taylor]: Taking taylor expansion of -1 in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.490 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.490 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.490 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (cos x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (cos x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.500 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.507 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.507 * [approximate]: Taking taylor expansion of (exp (- 1.0 (cos x))) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (cos x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 0.510 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (cos x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.520 * [approximate]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.532 * [approximate]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.532 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.545 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.545 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.545 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (cos x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (sin x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (cos x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sin x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.569 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.569 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.575 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.575 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.575 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.575 * [taylor]: Taking taylor expansion of -1 in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.576 * [taylor]: Taking taylor expansion of -1 in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.576 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.576 * [taylor]: Taking taylor expansion of 1.0 in x 0.576 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.576 * [taylor]: Taking taylor expansion of -1 in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.577 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.577 * [taylor]: Taking taylor expansion of -1 in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.582 * * * [progress]: simplifying candidates 0.583 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (- (cos x)))) (log (exp 1.0)) (log (exp (- (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (sqrt (- 1.0 (cos x)))) (exp 1) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp 1) (exp 1.0) (exp (- (cos x))) (exp 1.0) (exp (- (cos x))) (exp 1.0) (exp (cos x)) (log (exp (- 1.0 (cos x)))) (exp (exp (- 1.0 (cos x)))) (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x))))) (cbrt (exp (- 1.0 (cos x)))) (* (* (exp (- 1.0 (cos x))) (exp (- 1.0 (cos x)))) (exp (- 1.0 (cos x)))) (sqrt (exp (- 1.0 (cos x)))) (sqrt (exp (- 1.0 (cos x)))) (- (log (log (exp (- 1.0 (cos x))))) (log (sin x))) (log (/ (log (exp (- 1.0 (cos x)))) (sin x))) (exp (/ (log (exp (- 1.0 (cos x)))) (sin x))) (/ (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (log (exp (- 1.0 (cos x)))) (sin x))) (cbrt (/ (log (exp (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (log (exp (- 1.0 (cos x)))) (sin x))) (* (* (/ (log (exp (- 1.0 (cos x)))) (sin x)) (/ (log (exp (- 1.0 (cos x)))) (sin x))) (/ (log (exp (- 1.0 (cos x)))) (sin x))) (sqrt (/ (log (exp (- 1.0 (cos x)))) (sin x))) (sqrt (/ (log (exp (- 1.0 (cos x)))) (sin x))) (- (log (exp (- 1.0 (cos x))))) (- (sin x)) (/ (log (exp 1.0)) (sin x)) (/ (log (exp (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (log (exp (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (log (exp (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (log (exp (- 1.0 (cos x)))) (sin x)) (/ (cbrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) 1) (/ (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (log (exp (sqrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (log (exp (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (log (exp (sqrt (- 1.0 (cos x))))) (sin x)) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (log (exp 1)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (log (exp 1)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (log (exp 1)) (sin x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) 1) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (log (exp 1)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (log (exp 1)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (log (exp 1)) (sin x)) (/ (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (sin x))) (/ (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (log (exp (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) 1) (/ (cbrt (log (exp (- 1.0 (cos x))))) (sin x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (log (exp (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (log (exp (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (log (exp (- 1.0 (cos x)))) (sin x)) (/ 1 (sin x)) (/ (sin x) (log (exp (- 1.0 (cos x))))) (/ (log (exp (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (log (exp (- 1.0 (cos x)))) (sqrt (sin x))) (/ (log (exp (- 1.0 (cos x)))) 1) (/ (sin x) (log (exp (- 1.0 (cos x))))) (/ (sin x) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (/ (sin x) (log (exp (sqrt (- 1.0 (cos x)))))) (/ (sin x) (log (exp 1))) (/ (sin x) (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (log (exp 1))) (/ (sin x) (cbrt (log (exp (- 1.0 (cos x)))))) (/ (sin x) (sqrt (log (exp (- 1.0 (cos x)))))) (/ (sin x) (log (exp (- 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)) (+ (* 1/12 (pow x 4)) 1)) (exp (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.589 * * [simplify]: iteration 0 : 295 enodes (cost 766 ) 0.594 * * [simplify]: iteration 1 : 890 enodes (cost 686 ) 0.609 * * [simplify]: iteration 2 : 3427 enodes (cost 674 ) 0.682 * * [simplify]: iteration 3 : 5001 enodes (cost 672 ) 0.686 * [simplify]: Simplified to: 1.0 (- (cos x)) 1.0 (- (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (exp (/ (- 1.0 (cos x)) 2))) (log (exp (/ (- 1.0 (cos x)) 2))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (sqrt (- 1.0 (cos x)))) E (exp (+ (sqrt 1.0) (sqrt (cos x)))) E (exp 1.0) (exp (- (cos x))) (exp 1.0) (exp (- (cos x))) (exp 1.0) (exp (cos x)) (- 1.0 (cos x)) (exp (exp (- 1.0 (cos x)))) (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x))))) (cbrt (exp (- 1.0 (cos x)))) (pow (exp (- 1.0 (cos x))) 3) (exp (/ (- 1.0 (cos x)) 2)) (exp (/ (- 1.0 (cos x)) 2)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (log (exp (- 1.0 (cos x)))) (sin x))) (cbrt (/ (log (exp (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (log (exp (- 1.0 (cos x)))) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (log (exp (- 1.0 (cos x)))) (sin x))) (sqrt (/ (log (exp (- 1.0 (cos x)))) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (cbrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) (/ (sin x) (cbrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (- 1.0 (cos x)) (/ 1 (sin x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (- (sqrt 1.0) (sqrt (cos x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (- 1.0 (cos x)) (/ 1 (sin x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (- 1.0 (cos x))) (/ (/ (sin x) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (sin x) (/ (sin x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (sin x) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin 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)) (+ (* 1/12 (pow x 4)) 1)) (exp (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.687 * * * [progress]: adding candidates to table 0.859 * * [progress]: iteration 3 / 4 0.859 * * * [progress]: picking best candidate 0.886 * * * * [pick]: Picked # 0.886 * * * [progress]: localizing error 0.894 * * * [progress]: generating rewritten candidates 0.894 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.897 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.908 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.914 * * * [progress]: generating series expansions 0.914 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.914 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.914 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (cos x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (cos x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.924 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.928 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.928 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.928 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.928 * [taylor]: Taking taylor expansion of -1 in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.928 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.928 * [taylor]: Taking taylor expansion of -1 in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.932 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.932 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.932 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (cos x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (sin x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.935 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [taylor]: Taking taylor expansion of (cos x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (sin x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.955 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.956 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.957 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.962 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.962 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.962 * [taylor]: Taking taylor expansion of -1 in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.969 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.969 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 0.969 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.969 * [taylor]: Taking taylor expansion of (sin x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.970 * [taylor]: Taking taylor expansion of (sin x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.977 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 0.977 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.977 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.977 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.979 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 0.979 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.979 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.979 * [taylor]: Taking taylor expansion of -1 in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.979 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.979 * [taylor]: Taking taylor expansion of -1 in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.981 * * * [progress]: simplifying candidates 0.982 * [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)) (* (- 1.0 (cos x)) (/ 1 (sin x))) (+ (log (- 1.0 (cos x))) (- (log (sin x)))) (+ (log (- 1.0 (cos x))) (- 0 (log (sin x)))) (+ (log (- 1.0 (cos x))) (- (log 1) (log (sin x)))) (+ (log (- 1.0 (cos x))) (log (/ 1 (sin x)))) (log (* (- 1.0 (cos x)) (/ 1 (sin x)))) (exp (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x)))) (* (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x))))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (* (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- (pow 1.0 3) (pow (cos x) 3)) 1) (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sin x)) (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (* (+ 1.0 (cos x)) (sin x)) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt (sin x)))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (- 1.0 (cos x)) (sqrt (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- 1.0 (cos x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (sqrt 1) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (sqrt 1) 1)) (* (- 1.0 (cos x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ 1 (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ 1 1)) (* (- 1.0 (cos x)) 1) (* (- 1.0 (cos x)) 1) (* (cbrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- (sqrt 1.0) (sqrt (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- 1.0 (cos x)) 1) (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 (sin x))) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 (sin x))) (- 1) (- (log (sin x))) (- 0 (log (sin x))) (- (log 1) (log (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (- 1) (- (sin x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1) (cbrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x))) (/ (cbrt 1) (sqrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1) (cbrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) 1) (/ (sqrt 1) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ 1 (sin x)) (/ 1 (sin x)) (/ (sin x) 1) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ (sin x) (cbrt 1)) (/ (sin x) (sqrt 1)) (/ (sin x) 1) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 0.988 * * [simplify]: iteration 0 : 320 enodes (cost 548 ) 0.994 * * [simplify]: iteration 1 : 1393 enodes (cost 482 ) 1.020 * * [simplify]: iteration 2 : 5001 enodes (cost 456 ) 1.023 * [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)) (/ (- 1.0 (cos x)) (sin x)) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (exp (* (- 1.0 (cos x)) (/ 1 (sin x)))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x))))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (+ 1.0 (cos x)) (sin x)) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (/ (* (sqrt (- 1.0 (cos x))) 1) (sqrt (sin x))) (/ (* (sqrt (- 1.0 (cos x))) 1) (sqrt (sin x))) (/ (* (sqrt (- 1.0 (cos x))) 1) (sqrt (sin x))) (/ (* (sqrt (- 1.0 (cos x))) 1) (sqrt (sin x))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (- 1.0 (cos x)) (sqrt (/ 1 (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- 1.0 (cos x)) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (- 1.0 (cos x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (- 1) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (- 1) (- (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (sin x)) (sin x) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (sin x) (sin x) (sin x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 1.024 * * * [progress]: adding candidates to table 1.142 * * [progress]: iteration 4 / 4 1.142 * * * [progress]: picking best candidate 1.165 * * * * [pick]: Picked # 1.166 * * * [progress]: localizing error 1.179 * * * [progress]: generating rewritten candidates 1.179 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.184 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.188 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.192 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.253 * * * [progress]: generating series expansions 1.253 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.253 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.253 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (cos x) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (cos x) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.270 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.270 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.270 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.274 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.274 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.274 * [taylor]: Taking taylor expansion of 1.0 in x 1.274 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.274 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.274 * [taylor]: Taking taylor expansion of -1 in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.275 * [taylor]: Taking taylor expansion of -1 in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.278 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (cos x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (cos x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.288 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.288 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.289 * [taylor]: Taking taylor expansion of 1.0 in x 1.289 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.292 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.292 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.292 * [taylor]: Taking taylor expansion of 1.0 in x 1.292 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.292 * [taylor]: Taking taylor expansion of -1 in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.292 * [taylor]: Taking taylor expansion of 1.0 in x 1.292 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.293 * [taylor]: Taking taylor expansion of -1 in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.296 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.296 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (cos x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (cos x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.306 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.310 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.310 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.310 * [taylor]: Taking taylor expansion of -1 in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.310 * [taylor]: Taking taylor expansion of -1 in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.313 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.314 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.314 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.314 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (cos x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (sin x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.317 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.317 * [taylor]: Taking taylor expansion of (cos x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (sin x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.334 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.334 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.344 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.344 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.344 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.344 * [taylor]: Taking taylor expansion of -1 in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.344 * [taylor]: Taking taylor expansion of -1 in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.345 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.345 * [taylor]: Taking taylor expansion of -1 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.345 * [taylor]: Taking taylor expansion of -1 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.350 * * * [progress]: simplifying candidates 1.359 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (- (cos x)))) (log (exp 1.0)) (log (exp (- (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log 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(- 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)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.448 * * * [progress]: adding candidates to table 2.126 * [progress]: [Phase 3 of 3] Extracting. 2.126 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 2.129 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.129 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 2.192 * * * [regime]: Found split indices: #