8.083 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.298 * * * [progress]: [2/2] Setting up program. 0.301 * [progress]: [Phase 2 of 3] Improving. 0.301 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.320 * * [simplify]: iteration 0 : 500 enodes (cost 8 ) 0.321 * * [simplify]: iteration 1 : 500 enodes (cost 8 ) 0.321 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.323 * * [progress]: iteration 1 / 4 0.323 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.332 * * * [progress]: generating rewritten candidates 0.332 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.338 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.343 * * * [progress]: generating series expansions 0.343 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.343 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (cos x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (cos x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.346 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.347 * [taylor]: Taking taylor expansion of -1 in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.348 * [taylor]: Taking taylor expansion of -1 in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.349 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (cos x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (cos x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.351 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.352 * * * [progress]: simplifying candidates 0.352 * [simplify]: Simplifying using # : (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.395 * * [simplify]: iteration 0 : 4894 enodes (cost 437 ) 0.396 * * [simplify]: iteration 1 : 4894 enodes (cost 437 ) 0.398 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (cos x) 1.0) (* x (neg x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (* (cbrt (- 1.0 (cos x))) (/ (cbrt (- 1.0 (cos x))) x)) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (* x (/ x (- 1.0 (cos x)))) (/ (- 1.0 (cos x)) x) (* x (/ x (cbrt (- 1.0 (cos x))))) (* x (/ x (sqrt (- 1.0 (cos x))))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- (sqrt 1.0) (sqrt (cos x))))) (* x (/ x (- 1.0 (cos x)))) (* x (* x (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))))) (* x (* x (+ 1.0 (cos x)))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (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)) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* x (* x 1/2)) (+ (* (pow x 6) 1/720) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.398 * * * [progress]: adding candidates to table 0.482 * * [progress]: iteration 2 / 4 0.482 * * * [progress]: picking best candidate 0.510 * * * * [pick]: Picked # 0.510 * * * [progress]: localizing error 0.518 * * * [progress]: generating rewritten candidates 0.518 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.527 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.533 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.544 * * * [progress]: generating series expansions 0.544 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.544 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (cos x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (cos x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.546 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.547 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (cos x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (cos x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.549 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.550 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.550 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (cos x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (cos x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.554 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.556 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.556 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.556 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.559 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.559 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.559 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.559 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (cos x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.559 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (cos x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.562 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.563 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.567 * * * [progress]: simplifying candidates 0.569 * [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)))) (neg (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)) (/ (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)))) (neg (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)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.606 * * [simplify]: iteration 0 : 4980 enodes (cost 1524 ) 0.607 * * [simplify]: iteration 1 : 4980 enodes (cost 1524 ) 0.613 * [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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (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)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 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1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (* (cbrt (sqrt (- 1.0 (cos x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (sqrt 1/2) (+ (* (/ (pow x 4) (sqrt 1/2)) 1/3840) (* (* (/ x (sqrt 1/2)) x) -1/48))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (+ (sqrt 1/2) (+ (* (/ (pow x 4) (sqrt 1/2)) 1/3840) (* (* (/ x (sqrt 1/2)) x) -1/48))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 0.614 * * * [progress]: adding candidates to table 0.870 * * [progress]: iteration 3 / 4 0.870 * * * [progress]: picking best candidate 0.900 * * * * [pick]: Picked # 0.901 * * * [progress]: localizing error 0.913 * * * [progress]: generating rewritten candidates 0.914 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.918 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 0.922 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.928 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.937 * * * [progress]: generating series expansions 0.937 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.937 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (cos x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (cos x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.939 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.939 * [taylor]: Taking taylor expansion of -1 in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.940 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.940 * [taylor]: Taking taylor expansion of -1 in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 0.940 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.940 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (cos x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (cos x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.942 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.942 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.942 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.942 * [taylor]: Taking taylor expansion of -1 in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.942 * [taylor]: Taking taylor expansion of -1 in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.943 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.943 * [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 0.945 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.945 * [taylor]: Taking taylor expansion of -1 in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.945 * [taylor]: Taking taylor expansion of -1 in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.946 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.946 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (cos x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (cos x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.949 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.949 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.949 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.949 * [taylor]: Taking taylor expansion of 1.0 in x 0.949 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.951 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.951 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.951 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.951 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.951 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.954 * * * [progress]: simplifying candidates 0.955 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (neg (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (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)) (/ (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)))) (neg (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)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.993 * * [simplify]: iteration 0 : 5251 enodes (cost 1023 ) 0.997 * [simplify]: Simplified to: 1.0 (neg (cos x)) (* (log (cbrt (exp (- 1.0 (cos x))))) 2) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (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)) (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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (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)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (* (cbrt (sqrt (- 1.0 (cos x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (sqrt 1/2) (+ (* (/ (pow x 4) (sqrt 1/2)) 1/3840) (* (* (/ x (sqrt 1/2)) x) -1/48))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 0.998 * * * [progress]: adding candidates to table 1.229 * * [progress]: iteration 4 / 4 1.229 * * * [progress]: picking best candidate 1.261 * * * * [pick]: Picked # 1.261 * * * [progress]: localizing error 1.285 * * * [progress]: generating rewritten candidates 1.285 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.290 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.293 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.304 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2 2) 1.310 * * * [progress]: generating series expansions 1.310 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.311 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.311 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (cos x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (cos x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.312 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.312 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.312 * [taylor]: Taking taylor expansion of 1.0 in x 1.313 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.313 * [taylor]: Taking taylor expansion of 1.0 in x 1.313 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.313 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.313 * [taylor]: Taking taylor expansion of 1.0 in x 1.313 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.313 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.313 * [taylor]: Taking taylor expansion of -1 in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.313 * [taylor]: Taking taylor expansion of 1.0 in x 1.313 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.313 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.313 * [taylor]: Taking taylor expansion of -1 in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.314 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.314 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.314 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (cos x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (cos x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.315 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.315 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.316 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.316 * [taylor]: Taking taylor expansion of -1 in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.316 * [taylor]: Taking taylor expansion of -1 in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.317 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.317 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.317 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.317 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.317 * [taylor]: Taking taylor expansion of (cos x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.317 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.317 * [taylor]: Taking taylor expansion of (cos x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.319 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.319 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.321 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.321 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.321 * [taylor]: Taking taylor expansion of 1.0 in x 1.321 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.321 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.321 * [taylor]: Taking taylor expansion of -1 in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.321 * [taylor]: Taking taylor expansion of 1.0 in x 1.322 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.322 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.322 * [taylor]: Taking taylor expansion of -1 in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.323 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2 2) 1.323 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 1.323 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.323 * [taylor]: Taking taylor expansion of (cos x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.324 * [taylor]: Taking taylor expansion of (cos x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.324 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.324 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.324 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.325 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.325 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.325 * [taylor]: Taking taylor expansion of -1 in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.325 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.325 * [taylor]: Taking taylor expansion of -1 in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * * * [progress]: simplifying candidates 1.327 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (neg (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (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)) (/ (exp (pow 1.0 3)) (exp (pow (cos x) 3))) (log (- (pow 1.0 3) (pow (cos x) 3))) (exp (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (* (* (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3))) (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- 1.0 (cos x)) (- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (cos x) 3) (pow (cos x) 3)) (* (pow 1.0 3) (pow (cos x) 3)))) (neg (pow (cos x) 3)) (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (cos x) 3) (pow (cos x) 3))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (+ (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (- (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (- (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (+ (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (* (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)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) 1.352 * * [simplify]: iteration 0 : 5387 enodes (cost 886 ) 1.356 * [simplify]: Simplified to: 1.0 (neg (cos x)) (* (log (cbrt (exp (- 1.0 (cos x))))) 2) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (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)) (exp (- (pow 1.0 3) (pow (cos x) 3))) (log (- (pow 1.0 3) (pow (cos x) 3))) (exp (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (pow (- (pow 1.0 3) (pow (cos x) 3)) 3) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (- 1.0 (cos x)) (- (* 1.0 (pow 1.0 8)) (pow (pow (cos x) 3) 3)) (+ (pow 1.0 6) (+ (pow (cos x) 6) (* (pow 1.0 3) (pow (cos x) 3)))) (neg (pow (cos x) 3)) (- (pow 1.0 6) (pow (cos x) 6)) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 (sqrt 1.0)) (pow (sqrt (cos x)) 3)) (- (* 1.0 (sqrt 1.0)) (pow (sqrt (cos x)) 3)) (+ (* 1.0 (sqrt 1.0)) (pow (sqrt (cos x)) 3)) (- (* 1.0 (sqrt 1.0)) (pow (sqrt (cos x)) 3)) (+ (* 1.0 (sqrt 1.0)) (sqrt (pow (cos x) 3))) (- (* 1.0 (sqrt 1.0)) (sqrt (pow (cos x) 3))) (+ (* 1.0 (sqrt 1.0)) (pow (cos x) 3/2)) (- (* 1.0 (sqrt 1.0)) (pow (cos x) 3/2)) (+ (* 1.0 (sqrt 1.0)) (pow (sqrt (cos x)) 3)) (- (* 1.0 (sqrt 1.0)) (pow (sqrt (cos x)) 3)) (+ (* 1.0 (sqrt 1.0)) (pow (sqrt (cos x)) 3)) (- (* 1.0 (sqrt 1.0)) (pow (sqrt (cos x)) 3)) (+ (* 1.0 (sqrt 1.0)) (sqrt (pow (cos x) 3))) (- (* 1.0 (sqrt 1.0)) (sqrt (pow (cos x) 3))) (+ (* 1.0 (sqrt 1.0)) (pow (cos x) 3/2)) (- (* 1.0 (sqrt 1.0)) (pow (cos x) 3/2)) (+ (pow (sqrt (cos x)) 3) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt (cos x)) 3) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow (cos x) 3)) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (+ (pow (cos x) 3/2) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2)) (+ (pow (sqrt (cos x)) 3) (pow 1.0 3/2)) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt (cos x)) 3) (pow 1.0 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(pow (cos x) 3)) (+ (* 1/24 (pow x 4)) (+ 2.0 (* x (* x -1/2)))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) 1.357 * * * [progress]: adding candidates to table 1.639 * [progress]: [Phase 3 of 3] Extracting. 1.639 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 1.641 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.641 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 1.714 * * * [regime]: Found split indices: #