5.417 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.149 * * * [progress]: [2/2] Setting up program. 0.151 * [progress]: [Phase 2 of 3] Improving. 0.151 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.153 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.154 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.155 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.156 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.156 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.157 * * [progress]: iteration 1 / 4 0.157 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.158 * * * [progress]: localizing error 0.165 * * * [progress]: generating rewritten candidates 0.165 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.168 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.178 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.178 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (cos x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (cos x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.188 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.192 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.192 * [taylor]: Taking taylor expansion of -1 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.192 * [taylor]: Taking taylor expansion of -1 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.195 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.196 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (cos x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (sin x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of (cos x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (sin x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.223 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.229 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.231 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.231 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.236 * * * [progress]: simplifying candidates 0.237 * [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)) 0.241 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.245 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.257 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.313 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.315 * [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)) 0.315 * * * [progress]: adding candidates to table 0.441 * * [progress]: iteration 2 / 4 0.441 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.464 * * * [progress]: localizing error 0.477 * * * [progress]: generating rewritten candidates 0.478 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.485 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.492 * * * [progress]: generating series expansions 0.492 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.492 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 3)) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.492 * [taylor]: Taking taylor expansion of 1/24 in x 0.492 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.492 * [taylor]: Taking taylor expansion of 1/24 in x 0.492 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 3)) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.504 * [taylor]: Taking taylor expansion of 1/24 in x 0.504 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.505 * [taylor]: Taking taylor expansion of 1/24 in x 0.505 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.516 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 3)) in (x) around 0 0.516 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.516 * [taylor]: Taking taylor expansion of -1/24 in x 0.516 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.516 * [taylor]: Taking taylor expansion of -1/24 in x 0.516 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.527 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.528 * [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 0.528 * [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 0.543 * [approximate]: Taking taylor expansion of (/ 1/240 (pow x 5)) in (x) around 0 0.543 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.543 * [taylor]: Taking taylor expansion of 1/240 in x 0.543 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.544 * [taylor]: Taking taylor expansion of 1/240 in x 0.544 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.563 * [approximate]: Taking taylor expansion of (/ -1/240 (pow x 5)) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.564 * [taylor]: Taking taylor expansion of -1/240 in x 0.564 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.565 * [taylor]: Taking taylor expansion of -1/240 in x 0.565 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.579 * * * [progress]: simplifying candidates 0.580 * [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)) (* 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)) 0.584 * * [simplify]: iteration 0 : 208 enodes (cost 209 ) 0.589 * * [simplify]: iteration 1 : 871 enodes (cost 193 ) 0.610 * * [simplify]: iteration 2 : 4634 enodes (cost 193 ) 0.761 * * [simplify]: iteration 3 : 5001 enodes (cost 193 ) 0.762 * [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)) (* 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)) 0.763 * * * [progress]: adding candidates to table 0.885 * * [progress]: iteration 3 / 4 0.885 * * * [progress]: picking best candidate 0.906 * * * * [pick]: Picked # 0.906 * * * [progress]: localizing error 0.920 * * * [progress]: generating rewritten candidates 0.920 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.923 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.925 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.929 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.942 * * * [progress]: generating series expansions 0.942 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.942 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.943 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.943 * [taylor]: Taking taylor expansion of 1.0 in x 0.943 * [taylor]: Taking taylor expansion of (cos x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.943 * [taylor]: Taking taylor expansion of 1.0 in x 0.943 * [taylor]: Taking taylor expansion of (cos x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.953 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 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 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 x in x 0.957 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.957 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.957 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.957 * [taylor]: Taking taylor expansion of -1 in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.957 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.957 * [taylor]: Taking taylor expansion of -1 in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.960 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.960 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.960 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.960 * [taylor]: Taking taylor expansion of 1.0 in x 0.960 * [taylor]: Taking taylor expansion of (cos x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.963 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (cos x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.984 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.984 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.984 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.985 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 1.012 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.012 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.012 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.012 * [taylor]: Taking taylor expansion of -1 in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.012 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.012 * [taylor]: Taking taylor expansion of -1 in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.034 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.035 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.035 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of (cos x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of (cos x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.045 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.045 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.048 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.048 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.049 * [taylor]: Taking taylor expansion of -1 in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.049 * [taylor]: Taking taylor expansion of -1 in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.052 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.052 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.052 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.052 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (cos x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (sin x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.055 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.055 * [taylor]: Taking taylor expansion of 1.0 in x 1.055 * [taylor]: Taking taylor expansion of (cos x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (sin x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.072 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.072 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.072 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.073 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.079 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.079 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.079 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.079 * [taylor]: Taking taylor expansion of -1 in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.079 * [taylor]: Taking taylor expansion of -1 in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.085 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.085 * [taylor]: Taking taylor expansion of -1 in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.086 * [taylor]: Taking taylor expansion of -1 in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.091 * * * [progress]: simplifying candidates 1.092 * [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)) 1.098 * * [simplify]: iteration 0 : 289 enodes (cost 829 ) 1.102 * * [simplify]: iteration 1 : 791 enodes (cost 761 ) 1.114 * * [simplify]: iteration 2 : 2667 enodes (cost 734 ) 1.167 * * [simplify]: iteration 3 : 5001 enodes (cost 708 ) 1.170 * [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)) 1.171 * * * [progress]: adding candidates to table 1.380 * * [progress]: iteration 4 / 4 1.380 * * * [progress]: picking best candidate 1.410 * * * * [pick]: Picked # 1.410 * * * [progress]: localizing error 1.418 * * * [progress]: generating rewritten candidates 1.418 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.421 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.437 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.442 * * * [progress]: generating series expansions 1.442 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.442 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.442 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.442 * [taylor]: Taking taylor expansion of 1.0 in x 1.442 * [taylor]: Taking taylor expansion of (cos x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.442 * [taylor]: Taking taylor expansion of 1.0 in x 1.442 * [taylor]: Taking taylor expansion of (cos x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.452 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.453 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.456 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 -1 in x 1.456 * [taylor]: Taking taylor expansion of 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 -1 in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.460 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.460 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.460 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.460 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (cos x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (sin x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.463 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.463 * [taylor]: Taking taylor expansion of 1.0 in x 1.463 * [taylor]: Taking taylor expansion of (cos x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (sin x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.480 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.480 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.481 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.481 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.487 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.487 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.487 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.487 * [taylor]: Taking taylor expansion of -1 in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.487 * [taylor]: Taking taylor expansion of -1 in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.493 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.493 * [taylor]: Taking taylor expansion of 1.0 in x 1.493 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.493 * [taylor]: Taking taylor expansion of -1 in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.493 * [taylor]: Taking taylor expansion of -1 in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.498 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.499 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 1.499 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.499 * [taylor]: Taking taylor expansion of (sin x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.499 * [taylor]: Taking taylor expansion of (sin x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.506 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 1.506 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.507 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.507 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.509 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 1.509 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.509 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.509 * [taylor]: Taking taylor expansion of -1 in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.509 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.509 * [taylor]: Taking taylor expansion of -1 in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.511 * * * [progress]: simplifying candidates 1.512 * [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)) 1.517 * * [simplify]: iteration 0 : 320 enodes (cost 548 ) 1.523 * * [simplify]: iteration 1 : 1393 enodes (cost 482 ) 1.548 * * [simplify]: iteration 2 : 5001 enodes (cost 456 ) 1.551 * [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)) 1.551 * * * [progress]: adding candidates to table 1.698 * [progress]: [Phase 3 of 3] Extracting. 1.698 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 1.700 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.700 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # #) 1.761 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 1.819 * * * [regime]: Found split indices: #