9.694 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.136 * * * [progress]: [2/2] Setting up program. 0.138 * [progress]: [Phase 2 of 3] Improving. 0.138 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.140 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.141 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.143 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.144 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.144 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.144 * * [progress]: iteration 1 / 4 0.144 * * * [progress]: picking best candidate 0.151 * * * * [pick]: Picked # 0.151 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.159 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.163 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.183 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.187 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.187 * [taylor]: Taking taylor expansion of -1 in x 0.187 * [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 0.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.188 * [taylor]: Taking taylor expansion of -1 in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.191 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (cos x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sin x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.194 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [taylor]: Taking taylor expansion of (cos x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sin x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.220 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.220 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.220 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.220 * [taylor]: Taking taylor expansion of -1 in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.220 * [taylor]: Taking taylor expansion of -1 in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.221 * [taylor]: Taking taylor expansion of -1 in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.221 * [taylor]: Taking taylor expansion of -1 in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.227 * * * [progress]: simplifying candidates 0.228 * [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)) 0.232 * * [simplify]: iteration 0 : 230 enodes (cost 396 ) 0.236 * * [simplify]: iteration 1 : 662 enodes (cost 373 ) 0.249 * * [simplify]: iteration 2 : 2605 enodes (cost 373 ) 0.303 * * [simplify]: iteration 3 : 5002 enodes (cost 373 ) 0.306 * [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)) 0.306 * * * [progress]: adding candidates to table 0.405 * * [progress]: iteration 2 / 4 0.405 * * * [progress]: picking best candidate 0.430 * * * * [pick]: Picked # 0.431 * * * [progress]: localizing error 0.441 * * * [progress]: generating rewritten candidates 0.441 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.445 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.453 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.462 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.473 * * * [progress]: generating series expansions 0.473 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.473 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.473 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of (cos x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of (cos x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.484 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.484 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.489 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.493 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.493 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.493 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.493 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (cos x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (sin x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.499 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (cos x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (sin x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.518 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.518 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.525 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.532 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.532 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 0.532 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.533 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [taylor]: Taking taylor expansion of (cos x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (sin x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.536 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of (cos x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (sin x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.543 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.544 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.545 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.560 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.560 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.561 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.561 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.579 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.579 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (cos x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (sin x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (cos x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (sin x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.601 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.608 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.609 * [taylor]: Taking taylor expansion of -1 in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.609 * [taylor]: Taking taylor expansion of -1 in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.610 * [taylor]: Taking taylor expansion of -1 in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.615 * * * [progress]: simplifying candidates 0.617 * [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)) 0.623 * * [simplify]: iteration 0 : 300 enodes (cost 818 ) 0.628 * * [simplify]: iteration 1 : 788 enodes (cost 768 ) 0.642 * * [simplify]: iteration 2 : 2918 enodes (cost 766 ) 0.701 * * [simplify]: iteration 3 : 5002 enodes (cost 766 ) 0.705 * [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)) 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(* (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)) 0.706 * * * [progress]: adding candidates to table 0.921 * * [progress]: iteration 3 / 4 0.921 * * * [progress]: picking best candidate 0.961 * * * * [pick]: Picked # 0.961 * * * [progress]: localizing error 0.972 * * * [progress]: generating rewritten candidates 0.972 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.976 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.984 * * * [progress]: generating series expansions 0.984 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.985 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.985 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (cos x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (cos x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.996 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.997 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 1.000 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.000 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.000 * [taylor]: Taking taylor expansion of 1.0 in x 1.000 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.000 * [taylor]: Taking taylor expansion of -1 in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.001 * [taylor]: Taking taylor expansion of -1 in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.005 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.005 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.005 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.005 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of (cos x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (sin x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (cos x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (sin x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.026 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.026 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.026 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (sin (/ 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 1.027 * [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 1.033 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.033 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.033 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.033 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.033 * [taylor]: Taking taylor expansion of -1 in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.034 * [taylor]: Taking taylor expansion of -1 in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.034 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.034 * [taylor]: Taking taylor expansion of 1.0 in x 1.034 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.034 * [taylor]: Taking taylor expansion of -1 in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.035 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.035 * [taylor]: Taking taylor expansion of -1 in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.040 * * * [progress]: simplifying candidates 1.041 * [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)) 1.046 * * [simplify]: iteration 0 : 230 enodes (cost 396 ) 1.050 * * [simplify]: iteration 1 : 662 enodes (cost 373 ) 1.062 * * [simplify]: iteration 2 : 2605 enodes (cost 373 ) 1.117 * * [simplify]: iteration 3 : 5002 enodes (cost 373 ) 1.119 * [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)) 1.120 * * * [progress]: adding candidates to table 1.212 * * [progress]: iteration 4 / 4 1.212 * * * [progress]: picking best candidate 1.253 * * * * [pick]: Picked # 1.253 * * * [progress]: localizing error 1.263 * * * [progress]: generating rewritten candidates 1.263 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.284 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.288 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.299 * * * [progress]: generating series expansions 1.299 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.299 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in (x) around 0 1.299 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 1.299 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.300 * [taylor]: Taking taylor expansion of (sin x) in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.301 * [taylor]: Taking taylor expansion of (cos x) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of (sin x) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 1.301 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.301 * [taylor]: Taking taylor expansion of (sin x) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.302 * [taylor]: Taking taylor expansion of (cos x) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (sin x) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.356 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 1.356 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.356 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 1.358 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.372 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in (x) around 0 1.372 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 1.372 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 1.372 * [taylor]: Taking taylor expansion of 1.0 in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.372 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.372 * [taylor]: Taking taylor expansion of -1 in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.372 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.372 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.372 * [taylor]: Taking taylor expansion of -1 in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.373 * [taylor]: Taking taylor expansion of -1 in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 1.373 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.373 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.373 * [taylor]: Taking taylor expansion of -1 in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.374 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.374 * [taylor]: Taking taylor expansion of -1 in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.374 * [taylor]: Taking taylor expansion of -1 in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.387 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.387 * [approximate]: Taking taylor expansion of (/ (cos x) (sin x)) in (x) around 0 1.387 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) 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 (sin x) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.388 * [taylor]: Taking taylor expansion of (cos x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (sin x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.399 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in (x) around 0 1.399 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) 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 1.400 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.400 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.403 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in (x) around 0 1.403 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) 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 1.403 * [taylor]: Taking taylor expansion of (sin (/ -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 1.404 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.404 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.406 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.407 * [approximate]: Taking taylor expansion of (/ 1.0 (sin x)) in (x) around 0 1.407 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 1.407 * [taylor]: Taking taylor expansion of 1.0 in x 1.407 * [taylor]: Taking taylor expansion of (sin x) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of (sin x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.427 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in (x) around 0 1.427 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.429 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in (x) around 0 1.429 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.429 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.429 * [taylor]: Taking taylor expansion of -1 in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.430 * [taylor]: Taking taylor expansion of -1 in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.432 * * * [progress]: simplifying candidates 1.435 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x)))) (log (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (exp (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (* (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (* (* (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (- 1.0 (cos x)) (- 1.0 (/ (cos x) 1)) (- (- 1.0) (- (cos x))) (- (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x))))) (- (/ 1.0 (sqrt (sin x))) (/ (cos x) (sqrt (sin x)))) (- (/ 1.0 1) (cos x)) (- (/ 1.0 1) (/ (cos x) 1)) (- (* 1.0 (sin x)) (* (sin x) (cos x))) (* (sin x) (sin x)) (- (* 1.0 (- (sin x))) (* (sin x) (- (cos x)))) (* (sin x) (- (sin x))) (- (* 1.0 (/ (sin x) (cos x))) (* (sin x) 1)) (* (sin x) (/ (sin x) (cos x))) (- (* 1.0 (cbrt (sin x))) (* (sin x) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (sin x) (cbrt (sin x))) (- (* 1.0 (sqrt (sin x))) (* (sin x) (/ (cos x) (sqrt (sin x))))) (* (sin x) (sqrt (sin x))) (- (* 1.0 (sin x)) (* (sin x) (/ (cos x) 1))) (* (sin x) (sin x)) (- (* 1.0 (/ (sin x) (cbrt (cos x)))) (* (sin x) (* (cbrt (cos x)) (cbrt (cos x))))) (* (sin x) (/ (sin x) (cbrt (cos x)))) (- (* 1.0 (/ (sin x) (sqrt (cos x)))) (* (sin x) (sqrt (cos x)))) (* (sin x) (/ (sin x) (sqrt (cos x)))) (- (* 1.0 (/ (sin x) (cos x))) (* (sin x) 1)) (* (sin x) (/ (sin x) (cos x))) (- (* (- 1.0) (sin x)) (* (- (sin x)) (cos x))) (* (- (sin x)) (sin x)) (- (* (- 1.0) (- (sin x))) (* (- (sin x)) (- (cos x)))) (* (- (sin x)) (- (sin x))) (- (* (- 1.0) (/ (sin x) (cos x))) (* (- (sin x)) 1)) (* (- (sin x)) (/ (sin x) (cos x))) (- (* (- 1.0) (cbrt (sin x))) (* (- (sin x)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (- (sin x)) (cbrt (sin x))) (- (* (- 1.0) (sqrt (sin x))) (* (- (sin x)) (/ (cos x) (sqrt (sin x))))) (* (- (sin x)) (sqrt (sin x))) (- (* (- 1.0) (sin x)) (* (- (sin x)) (/ (cos x) 1))) (* (- (sin x)) (sin x)) (- (* (- 1.0) (/ (sin x) (cbrt (cos x)))) (* (- (sin x)) (* (cbrt (cos x)) (cbrt (cos x))))) (* (- (sin x)) (/ (sin x) (cbrt (cos x)))) (- (* (- 1.0) (/ (sin x) (sqrt (cos x)))) (* (- (sin x)) (sqrt (cos x)))) (* (- (sin x)) (/ (sin x) (sqrt (cos x)))) (- (* (- 1.0) (/ (sin x) (cos x))) (* (- (sin x)) 1)) (* (- (sin x)) (/ (sin x) (cos x))) (- (* 1 (sin x)) (* (/ (sin x) 1.0) (cos x))) (* (/ (sin x) 1.0) (sin x)) (- (* 1 (- (sin x))) (* (/ (sin x) 1.0) (- (cos x)))) (* (/ (sin x) 1.0) (- (sin x))) (- (* 1 (/ (sin x) (cos x))) (* (/ (sin x) 1.0) 1)) (* (/ (sin x) 1.0) (/ (sin x) (cos x))) (- (* 1 (cbrt (sin x))) (* (/ (sin x) 1.0) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (/ (sin x) 1.0) (cbrt (sin x))) (- (* 1 (sqrt (sin x))) (* (/ (sin x) 1.0) (/ (cos x) (sqrt (sin x))))) (* (/ (sin x) 1.0) (sqrt (sin x))) (- (* 1 (sin x)) (* (/ (sin x) 1.0) (/ (cos x) 1))) (* (/ (sin x) 1.0) (sin x)) (- (* 1 (/ (sin x) (cbrt (cos x)))) (* (/ (sin x) 1.0) (* (cbrt (cos x)) (cbrt (cos x))))) (* (/ (sin x) 1.0) (/ (sin x) (cbrt (cos x)))) (- (* 1 (/ (sin x) (sqrt (cos x)))) (* (/ (sin x) 1.0) (sqrt (cos x)))) (* (/ (sin x) 1.0) (/ (sin x) (sqrt (cos x)))) (- (* 1 (/ (sin x) (cos x))) (* (/ (sin x) 1.0) 1)) (* (/ (sin x) 1.0) (/ (sin x) (cos x))) (- (* (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (sin x)) (* (cbrt (sin x)) (cos x))) (* (cbrt (sin x)) (sin x)) (- (* (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (- (sin x))) (* (cbrt (sin x)) (- (cos x)))) (* (cbrt (sin x)) (- (sin x))) (- (* (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin x) (cos x))) (* (cbrt (sin x)) 1)) (* (cbrt (sin x)) (/ (sin x) (cos x))) (- (* (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (* (cbrt (sin x)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (cbrt (sin x)) (cbrt (sin x))) (- (* (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (sin x))) (* (cbrt (sin x)) (/ (cos x) (sqrt (sin x))))) (* (cbrt (sin x)) (sqrt (sin x))) (- (* (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (sin x)) (* (cbrt (sin x)) (/ (cos x) 1))) (* (cbrt (sin x)) (sin x)) (- (* (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin x) (cbrt (cos x)))) (* (cbrt (sin x)) (* (cbrt (cos x)) (cbrt (cos x))))) (* (cbrt (sin x)) (/ (sin x) (cbrt (cos x)))) (- (* (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin x) (sqrt (cos x)))) (* (cbrt (sin x)) (sqrt (cos x)))) (* (cbrt (sin x)) (/ (sin x) (sqrt (cos x)))) (- (* (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sin x) (cos x))) (* (cbrt (sin x)) 1)) (* (cbrt (sin x)) (/ (sin x) (cos x))) (- (* (/ 1.0 (sqrt (sin x))) (sin x)) (* (sqrt (sin x)) (cos x))) (* (sqrt (sin x)) (sin x)) (- (* (/ 1.0 (sqrt (sin x))) (- (sin x))) (* (sqrt (sin x)) (- (cos x)))) (* (sqrt (sin x)) (- (sin x))) (- (* (/ 1.0 (sqrt (sin x))) (/ (sin x) (cos x))) (* (sqrt (sin x)) 1)) (* (sqrt (sin x)) (/ (sin x) (cos x))) (- (* (/ 1.0 (sqrt (sin x))) (cbrt (sin x))) (* (sqrt (sin x)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (sqrt (sin x)) (cbrt (sin x))) (- (* (/ 1.0 (sqrt (sin x))) (sqrt (sin x))) (* (sqrt (sin x)) (/ (cos x) (sqrt (sin x))))) (* (sqrt (sin x)) (sqrt (sin x))) (- (* (/ 1.0 (sqrt (sin x))) (sin x)) (* (sqrt (sin x)) (/ (cos x) 1))) (* (sqrt (sin x)) (sin x)) (- (* (/ 1.0 (sqrt (sin x))) (/ (sin x) (cbrt (cos x)))) (* (sqrt (sin x)) (* (cbrt (cos x)) (cbrt (cos x))))) (* (sqrt (sin x)) (/ (sin x) (cbrt (cos x)))) (- (* (/ 1.0 (sqrt (sin x))) (/ (sin x) (sqrt (cos x)))) (* (sqrt (sin x)) (sqrt (cos x)))) (* (sqrt (sin x)) (/ (sin x) (sqrt (cos x)))) (- (* (/ 1.0 (sqrt (sin x))) (/ (sin x) (cos x))) (* (sqrt (sin x)) 1)) (* (sqrt (sin x)) (/ (sin x) (cos x))) (- (* (/ 1.0 1) (sin x)) (* (sin x) (cos x))) (* (sin x) (sin x)) (- (* (/ 1.0 1) (- (sin x))) (* (sin x) (- (cos x)))) (* (sin x) (- (sin x))) (- (* (/ 1.0 1) (/ (sin x) (cos x))) (* (sin x) 1)) (* (sin x) (/ (sin x) (cos x))) (- (* (/ 1.0 1) (cbrt (sin x))) (* (sin x) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (sin x) (cbrt (sin x))) (- (* (/ 1.0 1) (sqrt (sin x))) (* (sin x) (/ (cos x) (sqrt (sin x))))) (* (sin x) (sqrt (sin x))) (- (* (/ 1.0 1) (sin x)) (* (sin x) (/ (cos x) 1))) (* (sin x) (sin x)) (- (* (/ 1.0 1) (/ (sin x) (cbrt (cos x)))) (* (sin x) (* (cbrt (cos x)) (cbrt (cos x))))) (* (sin x) (/ (sin x) (cbrt (cos x)))) (- (* (/ 1.0 1) (/ (sin x) (sqrt (cos x)))) (* (sin x) (sqrt (cos x)))) (* (sin x) (/ (sin x) (sqrt (cos x)))) (- (* (/ 1.0 1) (/ (sin x) (cos x))) (* (sin x) 1)) (* (sin x) (/ (sin x) (cos x))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (sin x)) (* (/ (sin x) (cbrt 1.0)) (cos x))) (* (/ (sin x) (cbrt 1.0)) (sin x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (- (sin x))) (* (/ (sin x) (cbrt 1.0)) (- (cos x)))) (* (/ (sin x) (cbrt 1.0)) (- (sin x))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (/ (sin x) (cos x))) (* (/ (sin x) (cbrt 1.0)) 1)) (* (/ (sin x) (cbrt 1.0)) (/ (sin x) (cos x))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt (sin x))) (* (/ (sin x) (cbrt 1.0)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (/ (sin x) (cbrt 1.0)) (cbrt (sin x))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sin x))) (* (/ (sin x) (cbrt 1.0)) (/ (cos x) (sqrt (sin x))))) (* (/ (sin x) (cbrt 1.0)) (sqrt (sin x))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (sin x)) (* (/ (sin x) (cbrt 1.0)) (/ (cos x) 1))) (* (/ (sin x) (cbrt 1.0)) (sin x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (/ (sin x) (cbrt (cos x)))) (* (/ (sin x) (cbrt 1.0)) (* (cbrt (cos x)) (cbrt (cos x))))) (* (/ (sin x) (cbrt 1.0)) (/ (sin x) (cbrt (cos x)))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (/ (sin x) (sqrt (cos x)))) (* (/ (sin x) (cbrt 1.0)) (sqrt 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x))))) (* (/ (sin x) (sqrt 1.0)) (/ (sin x) (cbrt (cos x)))) (- (* (sqrt 1.0) (/ (sin x) (sqrt (cos x)))) (* (/ (sin x) (sqrt 1.0)) (sqrt (cos x)))) (* (/ (sin x) (sqrt 1.0)) (/ (sin x) (sqrt (cos x)))) (- (* (sqrt 1.0) (/ (sin x) (cos x))) (* (/ (sin x) (sqrt 1.0)) 1)) (* (/ (sin x) (sqrt 1.0)) (/ (sin x) (cos x))) (- (* 1 (sin x)) (* (/ (sin x) 1.0) (cos x))) (* (/ (sin x) 1.0) (sin x)) (- (* 1 (- (sin x))) (* (/ (sin x) 1.0) (- (cos x)))) (* (/ (sin x) 1.0) (- (sin x))) (- (* 1 (/ (sin x) (cos x))) (* (/ (sin x) 1.0) 1)) (* (/ (sin x) 1.0) (/ (sin x) (cos x))) (- (* 1 (cbrt (sin x))) (* (/ (sin x) 1.0) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (/ (sin x) 1.0) (cbrt (sin x))) (- (* 1 (sqrt (sin x))) (* (/ (sin x) 1.0) (/ (cos x) (sqrt (sin x))))) (* (/ (sin x) 1.0) (sqrt (sin x))) (- (* 1 (sin x)) (* (/ (sin x) 1.0) (/ (cos x) 1))) (* (/ (sin x) 1.0) (sin x)) (- (* 1 (/ (sin x) (cbrt (cos x)))) (* (/ (sin x) 1.0) (* (cbrt (cos x)) (cbrt (cos x))))) (* (/ (sin x) 1.0) (/ (sin x) (cbrt (cos x)))) (- (* 1 (/ (sin x) (sqrt (cos x)))) (* (/ (sin x) 1.0) (sqrt (cos x)))) (* (/ (sin x) 1.0) (/ (sin x) (sqrt (cos x)))) (- (* 1 (/ (sin x) (cos x))) (* (/ (sin x) 1.0) 1)) (* (/ (sin x) 1.0) (/ (sin x) (cos x))) (- (pow (/ 1.0 (sin x)) 3) (pow (/ (cos x) (sin x)) 3)) (+ (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (+ (* (/ (cos x) (sin x)) (/ (cos x) (sin x))) (* (/ 1.0 (sin x)) (/ (cos x) (sin x))))) (- (/ (cos x) (sin x))) (- (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) (+ (/ 1.0 (sin x)) (/ (cos x) (sin x))) (+ (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (- (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ 1.0 (cbrt (sin x))) (/ (cos x) (cbrt (sin x)))) (- (/ 1.0 (sqrt (sin x))) (/ (cos x) (sqrt (sin x)))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- 1.0 (cos x)) (- (/ (cos x) (sin x))) (- (log (cos x)) (log (sin x))) (log (/ (cos x) (sin x))) (exp (/ (cos x) (sin x))) (/ (* (* (cos x) (cos x)) (cos x)) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))) (cbrt (/ (cos x) (sin x))) (* (* (/ (cos x) (sin x)) (/ (cos x) (sin x))) (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))) (- (cos x)) (- (sin x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (cos x)) (cbrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x))) (/ (cbrt (cos x)) (sqrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (/ (cbrt (cos x)) (sin x)) (/ (sqrt (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (cos x)) (cbrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (cos x) (sqrt (sin x))) (/ 1 1) (/ (cos x) (sin x)) (/ 1 (sin x)) (/ (sin x) (cos x)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (sqrt (sin x))) (/ (cos x) 1) (/ (sin x) (cbrt (cos x))) (/ (sin x) (sqrt (cos x))) (/ (sin x) (cos x)) (- (log 1.0) (log (sin x))) (log (/ 1.0 (sin x))) (exp (/ 1.0 (sin x))) (/ (* (* 1.0 1.0) 1.0) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (* (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (- 1.0) (- (sin x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1.0) (cbrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sin x))) (/ (cbrt 1.0) (sqrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sin x)) (/ (sqrt 1.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1.0) (cbrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1.0 (sqrt (sin x))) (/ 1 1) (/ 1.0 (sin x)) (/ 1 (sin x)) (/ (sin x) 1.0) (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (sqrt (sin x))) (/ 1.0 1) (/ (sin x) (cbrt 1.0)) (/ (sin x) (sqrt 1.0)) (/ (sin x) 1.0) (+ (* 0.04166666666666667 (pow x 3)) (+ (* 0.004166666666666667 (pow x 5)) (* 0.5 x))) (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) (/ (cos x) (sin x)) (/ (cos x) (sin x)) (+ (* 0.019444444444444445 (pow x 3)) (+ (* 1.0 (/ 1 x)) (* 0.16666666666666666 x))) (/ 1.0 (sin x)) (/ 1.0 (sin x)) 1.446 * * [simplify]: iteration 0 : 955 enodes (cost 1962 ) 1.465 * * [simplify]: iteration 1 : 4456 enodes (cost 1864 ) 1.529 * * [simplify]: iteration 2 : 5001 enodes (cost 1864 ) 1.538 * [simplify]: Simplified to: (exp (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (log (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (exp (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (* (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (pow (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) 3) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- 1.0 (cos x))) (- (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x))))) (- (/ 1.0 (sqrt (sin x))) (/ (cos x) (sqrt (sin x)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (sin x) (- 1.0 (cos x))) (* (sin x) (sin x)) (* (- (sin x)) (- 1.0 (cos x))) (* (- (sin x)) (sin x)) (- (* (/ (sin x) (cos x)) 1.0) (sin x)) (* (sin x) (/ (sin x) (cos x))) (- (* 1.0 (cbrt (sin x))) (* (sin x) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin 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(sqrt (sin x))) (sqrt (cos x)) (/ (sqrt (cos x)) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (cos x) (sqrt (sin x))) 1 (/ (cos x) (sin x)) (/ 1 (sin x)) (/ (sin x) (cos x)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (sqrt (sin x))) (cos x) (/ (sin x) (cbrt (cos x))) (/ (sin x) (sqrt (cos x))) (/ (sin x) (cos x)) (log (/ 1.0 (sin x))) (log (/ 1.0 (sin x))) (exp (/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (- 1.0) (- (sin x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1.0) (cbrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sin x))) (/ (cbrt 1.0) (sqrt (sin x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sin x)) (/ (sqrt 1.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1.0) (cbrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (sqrt 1.0) (/ (sqrt 1.0) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1.0 (sqrt (sin x))) 1 (/ 1.0 (sin x)) (/ 1 (sin x)) (/ (sin x) 1.0) (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (sqrt (sin x))) 1.0 (/ (sin x) (cbrt 1.0)) (/ (sin x) (sqrt 1.0)) (/ (sin x) 1.0) (+ (* 0.04166666666666667 (pow x 3)) (+ (* 0.004166666666666667 (pow x 5)) (* 0.5 x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) (/ (cos x) (sin x)) (/ (cos x) (sin x)) (+ (* 0.019444444444444445 (pow x 3)) (+ (* 1.0 (/ 1 x)) (* 0.16666666666666666 x))) (/ 1.0 (sin x)) (/ 1.0 (sin x)) 1.540 * * * [progress]: adding candidates to table 1.812 * [progress]: [Phase 3 of 3] Extracting. 1.812 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.815 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.815 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # #) 1.869 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # #) 1.892 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 1.946 * * * [regime]: Found split indices: #