4.618 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.143 * * * [progress]: [2/2] Setting up program. 0.145 * [progress]: [Phase 2 of 3] Improving. 0.145 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.147 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.148 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.150 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.151 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.151 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.151 * * [progress]: iteration 1 / 4 0.151 * * * [progress]: picking best candidate 0.153 * * * * [pick]: Picked # 0.153 * * * [progress]: localizing error 0.160 * * * [progress]: generating rewritten candidates 0.160 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.164 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.182 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.185 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.185 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.189 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.189 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (cos x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sin x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (cos x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sin x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.218 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.218 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.225 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.225 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.225 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.226 * [taylor]: Taking taylor expansion of -1 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.226 * [taylor]: Taking taylor expansion of -1 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.231 * * * [progress]: simplifying candidates 0.232 * [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)) 0.237 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.241 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.253 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.309 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.312 * [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)) 0.312 * * * [progress]: adding candidates to table 0.432 * * [progress]: iteration 2 / 4 0.432 * * * [progress]: picking best candidate 0.465 * * * * [pick]: Picked # 0.465 * * * [progress]: localizing error 0.476 * * * [progress]: generating rewritten candidates 0.476 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.482 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.487 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.497 * * * [progress]: generating series expansions 0.497 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.497 * [approximate]: Taking taylor expansion of (* 1/240 (pow x 5)) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.497 * [taylor]: Taking taylor expansion of 1/240 in x 0.497 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.497 * [taylor]: Taking taylor expansion of 1/240 in x 0.497 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.512 * [approximate]: Taking taylor expansion of (/ 1/240 (pow x 5)) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.512 * [taylor]: Taking taylor expansion of 1/240 in x 0.512 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.513 * [taylor]: Taking taylor expansion of 1/240 in x 0.513 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.527 * [approximate]: Taking taylor expansion of (/ -1/240 (pow x 5)) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.528 * [taylor]: Taking taylor expansion of -1/240 in x 0.528 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.529 * [taylor]: Taking taylor expansion of -1/240 in x 0.529 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.548 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.548 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 3)) in (x) around 0 0.548 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.548 * [taylor]: Taking taylor expansion of 1/24 in x 0.548 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.548 * [taylor]: Taking taylor expansion of 1/24 in x 0.548 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.559 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 3)) in (x) around 0 0.559 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.559 * [taylor]: Taking taylor expansion of 1/24 in x 0.559 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.560 * [taylor]: Taking taylor expansion of 1/24 in x 0.560 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.571 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 3)) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.571 * [taylor]: Taking taylor expansion of -1/24 in x 0.571 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.572 * [taylor]: Taking taylor expansion of -1/24 in x 0.572 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.583 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.583 * [approximate]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in (x) around 0 0.583 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.583 * [taylor]: Taking taylor expansion of 1/24 in x 0.583 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.583 * [taylor]: Taking taylor expansion of 1/240 in x 0.583 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.583 * [taylor]: Taking taylor expansion of 1/2 in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.583 * [taylor]: Taking taylor expansion of 1/24 in x 0.583 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.583 * [taylor]: Taking taylor expansion of 1/240 in x 0.583 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.583 * [taylor]: Taking taylor expansion of 1/2 in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.594 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in (x) around 0 0.594 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of 1/2 in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.594 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.594 * [taylor]: Taking taylor expansion of 1/240 in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.595 * [taylor]: Taking taylor expansion of 1/24 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of 1/2 in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.596 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.596 * [taylor]: Taking taylor expansion of 1/240 in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.596 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.597 * [taylor]: Taking taylor expansion of 1/24 in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.615 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in (x) around 0 0.615 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.615 * [taylor]: Taking taylor expansion of 1/2 in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.615 * [taylor]: Taking taylor expansion of 1/240 in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.615 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.616 * [taylor]: Taking taylor expansion of 1/24 in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.616 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.617 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of 1/2 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.617 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.617 * [taylor]: Taking taylor expansion of 1/240 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.617 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.618 * [taylor]: Taking taylor expansion of 1/24 in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.642 * * * [progress]: simplifying candidates 0.643 * [simplify]: Simplifying using # : (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (log (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (* (* (* 1/240 1/240) 1/240) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (* (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5))) (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x (/ 5 2))) (* (sqrt 1/240) (pow x (/ 5 2))) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) (* 1/240 (pow 1 5)) (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) (* 1/240 1) (* 1/240 (pow x (/ 5 2))) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (log (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (* (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x (/ 3 2))) (* (sqrt 1/24) (pow x (/ 3 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 (* x x)) (* 1/24 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 x) (* 1/24 (sqrt (pow x 3))) (* 1/24 1) (* 1/24 (pow x (/ 3 2))) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (* (exp (* 1/24 (pow x 3))) (* (exp (* 1/240 (pow x 5))) (exp (* 1/2 x)))) (* (exp (* 1/24 (pow x 3))) (exp (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (log (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (* (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (- (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (* (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (- (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 0.648 * * [simplify]: iteration 0 : 301 enodes (cost 375 ) 0.655 * * [simplify]: iteration 1 : 1301 enodes (cost 346 ) 0.686 * * [simplify]: iteration 2 : 5001 enodes (cost 346 ) 0.688 * [simplify]: Simplified to: (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x 5/2)) (* (sqrt 1/240) (pow x 5/2)) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) 1/240 (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) 1/240 (* 1/240 (pow x 5/2)) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x 3/2)) (* (sqrt 1/24) (pow x 3/2)) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* (* 1/24 x) x) (* (* 1/24 x) x) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* 1/24 x) (* 1/24 (sqrt (pow x 3))) 1/24 (* 1/24 (pow x 3/2)) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (log (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (pow (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 3) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (- (+ (* 1/240 (pow x 5)) (* 1/2 x)) (* 1/24 (pow x 3)))) (* 1/576 (* (pow x 3) (pow x 3)))) (+ (- (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (pow x 6) 1/576)) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 0.689 * * * [progress]: adding candidates to table 0.847 * * [progress]: iteration 3 / 4 0.848 * * * [progress]: picking best candidate 0.875 * * * * [pick]: Picked # 0.875 * * * [progress]: localizing error 0.883 * * * [progress]: generating rewritten candidates 0.883 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.887 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.897 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.903 * * * [progress]: generating series expansions 0.903 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.903 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (cos x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (cos x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.914 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.914 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.918 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.918 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.918 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.918 * [taylor]: Taking taylor expansion of -1 in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.918 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.918 * [taylor]: Taking taylor expansion of -1 in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.926 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.926 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.926 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.926 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (cos x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (sin x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (cos x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (sin x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.946 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.947 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.947 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.947 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.953 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.953 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.953 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.953 * [taylor]: Taking taylor expansion of -1 in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.953 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.953 * [taylor]: Taking taylor expansion of -1 in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 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 0.954 * [taylor]: Taking taylor expansion of -1 in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.954 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.954 * [taylor]: Taking taylor expansion of -1 in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.959 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.960 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.960 * [taylor]: Taking taylor expansion of (sin x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.960 * [taylor]: Taking taylor expansion of (sin x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.967 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 0.968 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.968 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.968 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.970 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 0.970 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.970 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.970 * [taylor]: Taking taylor expansion of -1 in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.970 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.970 * [taylor]: Taking taylor expansion of -1 in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.972 * * * [progress]: simplifying candidates 0.973 * [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)) 0.978 * * [simplify]: iteration 0 : 320 enodes (cost 548 ) 0.985 * * [simplify]: iteration 1 : 1393 enodes (cost 482 ) 1.012 * * [simplify]: iteration 2 : 5001 enodes (cost 456 ) 1.015 * [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)) 1.015 * * * [progress]: adding candidates to table 1.162 * * [progress]: iteration 4 / 4 1.162 * * * [progress]: picking best candidate 1.186 * * * * [pick]: Picked # 1.186 * * * [progress]: localizing error 1.195 * * * [progress]: generating rewritten candidates 1.195 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.199 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.207 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.211 * * * [progress]: generating series expansions 1.211 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.211 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.211 * [taylor]: Taking taylor expansion of (cos x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.211 * [taylor]: Taking taylor expansion of (cos x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.222 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.222 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.223 * [taylor]: Taking taylor expansion of 1.0 in x 1.223 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.226 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.226 * [taylor]: Taking taylor expansion of -1 in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.226 * [taylor]: Taking taylor expansion of -1 in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.229 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.230 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.230 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.230 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.230 * [taylor]: Taking taylor expansion of 1.0 in x 1.230 * [taylor]: Taking taylor expansion of (cos x) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of (sin x) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.237 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of (cos x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (sin x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.255 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.255 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.255 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.261 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.261 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.261 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.261 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.261 * [taylor]: Taking taylor expansion of -1 in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.262 * [taylor]: Taking taylor expansion of -1 in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.262 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.262 * [taylor]: Taking taylor expansion of -1 in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.263 * [taylor]: Taking taylor expansion of -1 in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.268 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.268 * [approximate]: Taking taylor expansion of (pow (sin x) -1) in (x) around 0 1.268 * [taylor]: Taking taylor expansion of (pow (sin x) -1) in x 1.268 * [taylor]: Taking taylor expansion of (sin x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (pow (sin x) -1) in x 1.269 * [taylor]: Taking taylor expansion of (sin x) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.276 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 x)) -1) in (x) around 0 1.276 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) -1) in x 1.276 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 x)) -1) in x 1.277 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.279 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 x)) -1) in (x) around 0 1.279 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) -1) in x 1.279 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.279 * [taylor]: Taking taylor expansion of -1 in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 x)) -1) in x 1.279 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.279 * [taylor]: Taking taylor expansion of -1 in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.281 * * * [progress]: simplifying candidates 1.282 * [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)) -1)) (+ (log (- 1.0 (cos x))) (* (log (sin x)) -1)) (+ (log (- 1.0 (cos x))) (log (pow (sin x) -1))) (log (* (- 1.0 (cos x)) (pow (sin x) -1))) (exp (* (- 1.0 (cos x)) (pow (sin x) -1))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (pow (sin x) -1) (pow (sin x) -1)) (pow (sin x) -1))) (* (cbrt (* (- 1.0 (cos x)) (pow (sin x) -1))) (cbrt (* (- 1.0 (cos x)) (pow (sin x) -1)))) (cbrt (* (- 1.0 (cos x)) (pow (sin x) -1))) (* (* (* (- 1.0 (cos x)) (pow (sin x) -1)) (* (- 1.0 (cos x)) (pow (sin x) -1))) (* (- 1.0 (cos x)) (pow (sin x) -1))) (sqrt (* (- 1.0 (cos x)) (pow (sin x) -1))) (sqrt (* (- 1.0 (cos x)) (pow (sin x) -1))) (* (- (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))) (pow (sqrt (sin x)) -1)) (* (sqrt (- 1.0 (cos x))) (pow (sqrt (sin x)) -1)) (* (sqrt (- 1.0 (cos x))) (sqrt (pow (sin x) -1))) (* (sqrt (- 1.0 (cos x))) (sqrt (pow (sin x) -1))) (* (sqrt (- 1.0 (cos x))) (pow (sin x) (/ -1 2))) (* (sqrt (- 1.0 (cos x))) (pow (sin x) (/ -1 2))) (* (- 1.0 (cos x)) (pow (* (cbrt (sin x)) (cbrt (sin x))) -1)) (* (- 1.0 (cos x)) (pow (sqrt (sin x)) -1)) (* (- 1.0 (cos x)) (pow 1 -1)) (* (- 1.0 (cos x)) (* (cbrt (pow (sin x) -1)) (cbrt (pow (sin x) -1)))) (* (- 1.0 (cos x)) (sqrt (pow (sin x) -1))) (* (- 1.0 (cos x)) 1) (* (- 1.0 (cos x)) (pow (sin x) (/ -1 2))) (* (cbrt (- 1.0 (cos x))) (pow (sin x) -1)) (* (sqrt (- 1.0 (cos x))) (pow (sin x) -1)) (* (- 1.0 (cos x)) (pow (sin x) -1)) (* (- (sqrt 1.0) (sqrt (cos x))) (pow (sin x) -1)) (* (- 1.0 (cos x)) (pow (sin x) -1)) (* (- 1.0 (cos x)) 1) (* (- (pow 1.0 3) (pow (cos x) 3)) (pow (sin x) -1)) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (pow (sin x) -1)) (* (log (sin x)) -1) (* (log (sin x)) -1) (* 1 -1) (pow (sin x) (* (cbrt -1) (cbrt -1))) (pow (sin x) (sqrt -1)) (pow (sin x) 1) (pow (* (cbrt (sin x)) (cbrt (sin x))) -1) (pow (cbrt (sin x)) -1) (pow (sqrt (sin x)) -1) (pow (sqrt (sin x)) -1) (pow 1 -1) (pow (sin x) -1) (log (pow (sin x) -1)) (exp (pow (sin x) -1)) (* (cbrt (pow (sin x) -1)) (cbrt (pow (sin x) -1))) (cbrt (pow (sin x) -1)) (* (* (pow (sin x) -1) (pow (sin x) -1)) (pow (sin x) -1)) (sqrt (pow (sin x) -1)) (sqrt (pow (sin x) -1)) (pow (sin x) (/ -1 2)) (pow (sin x) (/ -1 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (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)) 1.287 * * [simplify]: iteration 0 : 259 enodes (cost 403 ) 1.292 * * [simplify]: iteration 1 : 1119 enodes (cost 373 ) 1.317 * * [simplify]: iteration 2 : 5002 enodes (cost 366 ) 1.320 * [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)) (pow (sin x) -1))) (log (* (- 1.0 (cos x)) (pow (sin x) -1))) (log (* (- 1.0 (cos x)) (pow (sin x) -1))) (log (* (- 1.0 (cos x)) (pow (sin x) -1))) (exp (* (- 1.0 (cos x)) (pow (sin x) -1))) (pow (* (- 1.0 (cos x)) (pow (sin x) -1)) 3) (* (cbrt (* (- 1.0 (cos x)) (pow (sin x) -1))) (cbrt (* (- 1.0 (cos x)) (pow (sin x) -1)))) (cbrt (* (- 1.0 (cos x)) (pow (sin x) -1))) (pow (* (- 1.0 (cos x)) (pow (sin x) -1)) 3) (sqrt (* (- 1.0 (cos x)) (pow (sin x) -1))) (sqrt (* (- 1.0 (cos x)) (pow (sin x) -1))) (- (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))) (pow (sin x) 1/2)) (/ (sqrt (- 1.0 (cos x))) (pow (sin x) 1/2)) (* (sqrt (- 1.0 (cos x))) (sqrt (pow (sin x) -1))) (* (sqrt (- 1.0 (cos x))) (sqrt (pow (sin x) -1))) (* (sqrt (- 1.0 (cos x))) (pow (sin x) -1/2)) (* (sqrt (- 1.0 (cos x))) (pow (sin x) -1/2)) (* (* (pow (cbrt (sin x)) -2) 1) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (pow (sin x) 1/2)) (- 1.0 (cos x)) (* (- 1.0 (cos x)) (* (cbrt (pow (sin x) -1)) (cbrt (pow (sin x) -1)))) (* (- 1.0 (cos x)) (sqrt (pow (sin x) -1))) (- 1.0 (cos x)) (* (- 1.0 (cos x)) (pow (sin x) -1/2)) (* (cbrt (- 1.0 (cos x))) (pow (sin x) -1)) (* (sqrt (- 1.0 (cos x))) (pow (sin x) -1)) (/ (- 1.0 (cos x)) (sin x)) (* (- (sqrt 1.0) (sqrt (cos x))) (pow (sin x) -1)) (/ (- 1.0 (cos x)) (sin x)) (- 1.0 (cos x)) (* (- (pow 1.0 3) (pow (cos x) 3)) (pow (sin x) -1)) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (log (pow (sin x) -1)) (log (pow (sin x) -1)) -1 (pow (sin x) (* (cbrt -1) (cbrt -1))) (pow (sin x) (sqrt -1)) (sin x) (pow (cbrt (sin x)) -2) (pow (cbrt (sin x)) -1) (pow (sqrt (sin x)) -1) (pow (sqrt (sin x)) -1) 1 (pow (sin x) -1) (log (pow (sin x) -1)) (exp (pow (sin x) -1)) (* (cbrt (pow (sin x) -1)) (cbrt (pow (sin x) -1))) (cbrt (pow (sin x) -1)) (pow (pow (sin x) -1) 3) (sqrt (pow (sin x) -1)) (sqrt (pow (sin x) -1)) (pow (sin x) -1/2) (pow (sin x) -1/2) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (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))) (pow (sin x) -1) (pow (sin x) -1) 1.320 * * * [progress]: adding candidates to table 1.458 * [progress]: [Phase 3 of 3] Extracting. 1.458 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.462 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.462 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # #) 1.515 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 1.568 * * * [regime]: Found split indices: #