5.289 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.121 * * * [progress]: [2/2] Setting up program. 0.123 * [progress]: [Phase 2 of 3] Improving. 0.123 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.126 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.127 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.128 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.130 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.130 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.130 * * [progress]: iteration 1 / 4 0.130 * * * [progress]: picking best candidate 0.132 * * * * [pick]: Picked # 0.132 * * * [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) 0.157 * * * [progress]: generating series expansions 0.157 * * * * [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 0.168 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.172 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.172 * [taylor]: Taking taylor expansion of -1 in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.172 * [taylor]: Taking taylor expansion of -1 in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.175 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.176 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (cos x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (sin x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (cos x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sin x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.197 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.203 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.203 * [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 0.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.204 * [taylor]: Taking taylor expansion of -1 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.204 * [taylor]: Taking taylor expansion of -1 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.205 * [taylor]: Taking taylor expansion of -1 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.205 * [taylor]: Taking taylor expansion of -1 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.211 * * * [progress]: simplifying candidates 0.212 * [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)) 0.216 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.220 * * [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 ) 0.292 * [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 0.421 * * [progress]: iteration 2 / 4 0.421 * * * [progress]: picking best candidate 0.460 * * * * [pick]: Picked # 0.460 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.470 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.476 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.481 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.490 * * * [progress]: generating series expansions 0.490 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.490 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 3)) in (x) around 0 0.490 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.491 * [taylor]: Taking taylor expansion of 1/24 in x 0.491 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.491 * [taylor]: Taking taylor expansion of 1/24 in x 0.491 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.502 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 3)) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.502 * [taylor]: Taking taylor expansion of 1/24 in x 0.502 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.503 * [taylor]: Taking taylor expansion of 1/24 in x 0.503 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.518 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 3)) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.519 * [taylor]: Taking taylor expansion of -1/24 in x 0.519 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.519 * [taylor]: Taking taylor expansion of -1/24 in x 0.519 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.530 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.530 * [approximate]: Taking taylor expansion of (* 1/240 (pow x 5)) in (x) around 0 0.530 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.530 * [taylor]: Taking taylor expansion of 1/240 in x 0.530 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.531 * [taylor]: Taking taylor expansion of 1/240 in x 0.531 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.546 * [approximate]: Taking taylor expansion of (/ 1/240 (pow x 5)) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.546 * [taylor]: Taking taylor expansion of 1/240 in x 0.546 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.547 * [taylor]: Taking taylor expansion of 1/240 in x 0.547 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.561 * [approximate]: Taking taylor expansion of (/ -1/240 (pow x 5)) in (x) around 0 0.561 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.561 * [taylor]: Taking taylor expansion of -1/240 in x 0.562 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.563 * [taylor]: Taking taylor expansion of -1/240 in x 0.563 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.577 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.578 * [approximate]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in (x) around 0 0.578 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.578 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.578 * [taylor]: Taking taylor expansion of 1/24 in x 0.578 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.578 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.578 * [taylor]: Taking taylor expansion of 1/240 in x 0.578 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.578 * [taylor]: Taking taylor expansion of 1/2 in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.578 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.578 * [taylor]: Taking taylor expansion of 1/24 in x 0.578 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.578 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.578 * [taylor]: Taking taylor expansion of 1/240 in x 0.578 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.578 * [taylor]: Taking taylor expansion of 1/2 in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.589 * [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 0.589 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of 1/2 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.590 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.590 * [taylor]: Taking taylor expansion of 1/240 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.590 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.590 * [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 0.598 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of 1/2 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.598 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.598 * [taylor]: Taking taylor expansion of 1/240 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.598 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.599 * [taylor]: Taking taylor expansion of 1/24 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.617 * [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 0.617 * [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 0.618 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.618 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.618 * [taylor]: Taking taylor expansion of 1/240 in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.619 * [taylor]: Taking taylor expansion of 1/24 in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.619 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of 1/2 in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.620 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.620 * [taylor]: Taking taylor expansion of 1/240 in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.620 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.621 * [taylor]: Taking taylor expansion of 1/24 in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.639 * * * [progress]: simplifying candidates 0.640 * [simplify]: Simplifying using # : (+ (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)) (+ (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)) (* (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))) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 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)))) 0.646 * * [simplify]: iteration 0 : 301 enodes (cost 375 ) 0.653 * * [simplify]: iteration 1 : 1301 enodes (cost 346 ) 0.683 * * [simplify]: iteration 2 : 5002 enodes (cost 346 ) 0.686 * [simplify]: Simplified to: (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)) (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)) (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))) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 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))) 0.687 * * * [progress]: adding candidates to table 0.824 * * [progress]: iteration 3 / 4 0.824 * * * [progress]: picking best candidate 0.861 * * * * [pick]: Picked # 0.861 * * * [progress]: localizing error 0.871 * * * [progress]: generating rewritten candidates 0.871 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.875 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.883 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.894 * * * [progress]: generating series expansions 0.894 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.894 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.894 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (cos x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (cos x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.905 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.905 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.909 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.909 * [taylor]: Taking taylor expansion of -1 in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.909 * [taylor]: Taking taylor expansion of -1 in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.913 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.913 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (cos x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (cos x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.937 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.938 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.966 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.966 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.966 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.966 * [taylor]: Taking taylor expansion of -1 in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.967 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.967 * [taylor]: Taking taylor expansion of 1.0 in x 0.967 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.988 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.989 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.989 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [taylor]: Taking taylor expansion of (cos x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [taylor]: Taking taylor expansion of (cos x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.999 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.999 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.003 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.003 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.003 * [taylor]: Taking taylor expansion of -1 in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.003 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.003 * [taylor]: Taking taylor expansion of -1 in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.007 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.007 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.007 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (cos x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (sin x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (cos x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (sin x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.027 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.027 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.028 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.040 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.040 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.040 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.040 * [taylor]: Taking taylor expansion of -1 in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.041 * [taylor]: Taking taylor expansion of -1 in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.041 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.041 * [taylor]: Taking taylor expansion of -1 in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.047 * * * [progress]: simplifying candidates 1.048 * [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 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (exp (log (- 1.0 (cos x)))) (sin x))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (* (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (exp (log (- 1.0 (cos x))))) (- (sin x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) 1) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 1 (sin x)) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) 1) (/ (sin x) (exp (log (cbrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (sqrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (* (sin x) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (sin x) (exp (log (+ 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)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 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)) 1.055 * * [simplify]: iteration 0 : 289 enodes (cost 829 ) 1.060 * * [simplify]: iteration 1 : 791 enodes (cost 761 ) 1.073 * * [simplify]: iteration 2 : 2667 enodes (cost 734 ) 1.127 * * [simplify]: iteration 3 : 5001 enodes (cost 708 ) 1.131 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (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)) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) E (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) E (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (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 (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (+ (cos x) (- 1.0)) (- (sin x)) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (sqrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (sin x) 1)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) 1)) (/ 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))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt (sin x)) 1)) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) 1)) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (* (sqrt (sin x)) 1)) 1 (/ (- 1.0 (cos x)) (sin x)) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (sqrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (sin x) 1)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) 1)) (/ 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)) (/ (- 1.0 (cos x)) (* (sqrt (sin x)) 1)) (- 1.0 (cos x)) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (+ 1.0 (cos 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)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 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)) 1.132 * * * [progress]: adding candidates to table 1.313 * * [progress]: iteration 4 / 4 1.313 * * * [progress]: picking best candidate 1.349 * * * * [pick]: Picked # 1.350 * * * [progress]: localizing error 1.360 * * * [progress]: generating rewritten candidates 1.360 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.363 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.387 * * * [progress]: generating series expansions 1.387 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.387 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (cos x) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (cos x) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.398 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.398 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.398 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.402 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.402 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.402 * [taylor]: Taking taylor expansion of -1 in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.403 * [taylor]: Taking taylor expansion of -1 in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.406 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.406 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (cos x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (sin x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (cos x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (sin x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.432 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.432 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.432 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.433 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.433 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.433 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.433 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.439 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.439 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.439 * [taylor]: Taking taylor expansion of -1 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.440 * [taylor]: Taking taylor expansion of -1 in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.440 * [taylor]: Taking taylor expansion of -1 in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.441 * [taylor]: Taking taylor expansion of -1 in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.446 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.446 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 1.446 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.446 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.446 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.446 * [taylor]: Taking taylor expansion of 1.0 in x 1.446 * [taylor]: Taking taylor expansion of (cos x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (sin x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.449 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.449 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (cos x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (sin x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.456 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 1.456 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.456 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.456 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.457 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.471 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 1.471 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.471 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.471 * [taylor]: Taking taylor expansion of 1.0 in x 1.471 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.471 * [taylor]: Taking taylor expansion of -1 in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.472 * [taylor]: Taking taylor expansion of -1 in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.472 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.472 * [taylor]: Taking taylor expansion of 1.0 in x 1.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.472 * [taylor]: Taking taylor expansion of -1 in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.473 * [taylor]: Taking taylor expansion of -1 in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.486 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.487 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.487 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.487 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (cos x) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (sin x) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.490 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.490 * [taylor]: Taking taylor expansion of 1.0 in x 1.490 * [taylor]: Taking taylor expansion of (cos x) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (sin x) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.514 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.514 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.514 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.515 * [taylor]: Taking taylor expansion of 1.0 in x 1.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.520 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.520 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.520 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.520 * [taylor]: Taking taylor expansion of 1.0 in x 1.520 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.520 * [taylor]: Taking taylor expansion of -1 in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.521 * [taylor]: Taking taylor expansion of -1 in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.521 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.521 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.522 * [taylor]: Taking taylor expansion of -1 in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.522 * [taylor]: Taking taylor expansion of -1 in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.527 * * * [progress]: simplifying candidates 1.529 * [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 (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log 1) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ 1.0 (sin x)))) (log (exp (/ (cos x) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))))) (log (exp (sqrt (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1))) (log (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))))) (log (exp (/ (sqrt (- 1.0 (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- 1.0 (cos x)))) (log (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (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)))))) (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))))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp 1) (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (* (* (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin 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)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin 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)) 1.535 * * [simplify]: iteration 0 : 303 enodes (cost 818 ) 1.540 * * [simplify]: iteration 1 : 799 enodes (cost 768 ) 1.554 * * [simplify]: iteration 2 : 2970 enodes (cost 766 ) 1.614 * * [simplify]: iteration 3 : 5001 enodes (cost 766 ) 1.619 * [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)) (* 2 (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 0 (/ (- 1.0 (cos x)) (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (sqrt (/ (- 1.0 (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 (- 1.0 (cos x)))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (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))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (pow (exp (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin 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)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin 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)) 1.620 * * * [progress]: adding candidates to table 1.867 * [progress]: [Phase 3 of 3] Extracting. 1.867 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # #) 1.870 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.870 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # # # # #) 1.950 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # #) 1.981 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # # # #) 2.067 * * * [regime]: Found split indices: #