11.280 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.224 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.226 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.226 * * * * [points]: Setting MPFR precision to 64 0.226 * * * * [points]: Setting MPFR precision to 320 0.226 * * * * [points]: Setting MPFR precision to 576 0.227 * * * * [points]: Setting MPFR precision to 832 0.228 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.228 * * * * [points]: Setting MPFR precision to 576 0.228 * * * * [points]: Setting MPFR precision to 832 0.229 * * * * [points]: Setting MPFR precision to 1088 0.230 * * * * [points]: Setting MPFR precision to 1344 0.231 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.231 * * * * [points]: Setting MPFR precision to 1088 0.232 * * * * [points]: Setting MPFR precision to 1344 0.234 * * * * [points]: Setting MPFR precision to 1600 0.237 * * * * [points]: Setting MPFR precision to 1856 0.240 * * * * [points]: Setting MPFR precision to 2112 0.245 * * * * [points]: Setting MPFR precision to 2368 0.250 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.250 * * * * [points]: Setting MPFR precision to 2112 0.257 * * * * [points]: Setting MPFR precision to 2368 0.265 * * * * [points]: Computing exacts for 256 points 0.265 * * * * [points]: Setting MPFR precision to 2112 0.285 * * * * [points]: Setting MPFR precision to 2368 0.308 * * * * [points]: Filtering points with unrepresentable outputs 0.309 * * * * [points]: Sampled 256 points with exact outputs 0.356 * * * [progress]: [2/2] Setting up program. 0.358 * [progress]: [Phase 2 of 3] Improving. 0.359 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.378 * * [simplify]: iteration 0 : 500 enodes (cost 8 ) 0.378 * * [simplify]: iteration 1 : 500 enodes (cost 8 ) 0.378 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.379 * * [progress]: iteration 1 / 4 0.379 * * * [progress]: picking best candidate 0.381 * * * * [pick]: Picked # 0.381 * * * [progress]: localizing error 0.406 * * * [progress]: generating rewritten candidates 0.406 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.410 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.417 * * * [progress]: generating series expansions 0.417 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.418 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (cos x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (cos x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.420 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.421 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.421 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (cos x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (cos x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.425 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.425 * [taylor]: Taking taylor expansion of -1 in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.425 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.425 * [taylor]: Taking taylor expansion of -1 in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * * * [progress]: simplifying candidates 0.427 * [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)) (- (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))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (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)) 0.469 * * [simplify]: iteration 0 : 4894 enodes (cost 437 ) 0.469 * * [simplify]: iteration 1 : 4894 enodes (cost 437 ) 0.471 * [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)) (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)))) (+ (* x (* x 1/2)) (+ (* (pow x 6) 1/720) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ 1/2 (+ (* (pow x 4) 1/720) (* x (* x -1/24)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) 0.471 * * * [progress]: adding candidates to table 0.544 * * [progress]: iteration 2 / 4 0.544 * * * [progress]: picking best candidate 0.566 * * * * [pick]: Picked # 0.566 * * * [progress]: localizing error 0.594 * * * [progress]: generating rewritten candidates 0.594 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.598 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.601 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.605 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.609 * * * [progress]: generating series expansions 0.609 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.609 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.609 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (cos x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (cos x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.613 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.613 * [taylor]: Taking taylor expansion of -1 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.614 * [taylor]: Taking taylor expansion of -1 in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.614 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (cos x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (cos x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.616 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.617 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.617 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in (x) around 0 0.617 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (cos x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (cos x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.620 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.620 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.621 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.621 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.622 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (cos x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (cos x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.625 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.625 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.626 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.627 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.627 * [taylor]: Taking taylor expansion of -1 in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * * * [progress]: simplifying candidates 0.628 * [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)))) (exp (sqrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (sqrt (- 1.0 (cos x)))) (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt 1) (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt 1) (sqrt (- 1.0 (cos x))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x))) (/ 1 2) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (exp (sqrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (sqrt (- 1.0 (cos x)))) (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt 1) (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt 1) (sqrt (- 1.0 (cos x))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x))) (/ 1 2) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (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 5) (sqrt 1/2))) (* x (sqrt 1/2))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (+ (* 1/1440 (/ (pow x 5) (sqrt 1/2))) (* x (sqrt 1/2))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 0.698 * * [simplify]: iteration 0 : 4900 enodes (cost 584 ) 0.698 * * [simplify]: iteration 1 : 4900 enodes (cost 584 ) 0.701 * [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 (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)))) (exp (sqrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (sqrt (- 1.0 (cos x)))) (pow (sqrt (- 1.0 (cos x))) 3) (fabs (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) 1 (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (- (sqrt 1.0) (sqrt (cos x)))) 1 (sqrt (- 1.0 (cos x))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x))) 1/2 (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (exp (sqrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (sqrt (- 1.0 (cos x)))) (pow (sqrt (- 1.0 (cos x))) 3) (fabs (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) 1 (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (- (sqrt 1.0) (sqrt (cos x)))) 1 (sqrt (- 1.0 (cos x))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x))) 1/2 (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (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 (sqrt 1/2)) (+ (* (/ (pow x 3) (sqrt 1/2)) -1/48) (* (/ (pow x 5) (sqrt 1/2)) 1/3840))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (+ (* x (sqrt 1/2)) (+ (* (/ (pow x 3) (sqrt 1/2)) -1/48) (* (/ (pow x 5) (sqrt 1/2)) 1/3840))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 0.701 * * * [progress]: adding candidates to table 0.804 * * [progress]: iteration 3 / 4 0.804 * * * [progress]: picking best candidate 0.834 * * * * [pick]: Picked # 0.834 * * * [progress]: localizing error 0.912 * * * [progress]: generating rewritten candidates 0.912 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.917 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 0.921 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.924 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.929 * * * [progress]: generating series expansions 0.929 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.929 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (cos x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (cos x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.933 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.934 * [taylor]: Taking taylor expansion of -1 in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.934 * [taylor]: Taking taylor expansion of -1 in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.935 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 0.935 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.935 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [taylor]: Taking taylor expansion of (cos x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [taylor]: Taking taylor expansion of (cos x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.936 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.937 * [taylor]: Taking taylor expansion of -1 in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.937 * [taylor]: Taking taylor expansion of -1 in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.938 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.938 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (cos x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (cos x) in x 0.938 * [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 0.940 * [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 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 x in x 0.940 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 * [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 0.941 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.941 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in (x) around 0 0.941 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.941 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (cos x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.941 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (cos x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.944 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.944 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.945 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 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 0.945 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 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]: simplifying candidates 0.947 * [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)))) (exp (sqrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (sqrt (- 1.0 (cos x)))) (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt 1) (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt 1) (sqrt (- 1.0 (cos x))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x))) (/ 1 2) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (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 5) (sqrt 1/2))) (* x (sqrt 1/2))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 0.980 * * [simplify]: iteration 0 : 5039 enodes (cost 553 ) 0.983 * [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)))) (exp (sqrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (sqrt (- 1.0 (cos x)))) (pow (sqrt (- 1.0 (cos x))) 3) (fabs (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (sqrt (- 1.0 (cos x)))) 1 (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (- (sqrt 1.0) (sqrt (cos x)))) 1 (sqrt (- 1.0 (cos x))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x))) 1/2 (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (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)) (+ (* x (sqrt 1/2)) (+ (* (/ (pow x 3) (sqrt 1/2)) -1/48) (* (/ (pow x 5) (sqrt 1/2)) 1/3840))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 0.983 * * * [progress]: adding candidates to table 1.107 * * [progress]: iteration 4 / 4 1.107 * * * [progress]: picking best candidate 1.137 * * * * [pick]: Picked # 1.137 * * * [progress]: localizing error 1.224 * * * [progress]: generating rewritten candidates 1.224 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.229 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.233 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.275 * * * [progress]: generating series expansions 1.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.275 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [taylor]: Taking taylor expansion of (cos x) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [taylor]: Taking taylor expansion of (cos x) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.277 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.277 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.278 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.278 * [taylor]: Taking taylor expansion of -1 in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.278 * [taylor]: Taking taylor expansion of -1 in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.278 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (cos x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (cos x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.280 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.280 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.280 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.281 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.281 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.281 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.281 * [taylor]: Taking taylor expansion of -1 in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.281 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.281 * [taylor]: Taking taylor expansion of -1 in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.281 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.281 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.281 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.281 * [taylor]: Taking taylor expansion of (cos x) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.281 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.281 * [taylor]: Taking taylor expansion of (cos x) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.284 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.284 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.284 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.284 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.286 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.286 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.286 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.286 * [taylor]: Taking taylor expansion of -1 in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.286 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.286 * [taylor]: Taking taylor expansion of -1 in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.288 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.288 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0)))) in (x) around 0 1.288 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0)))) in x 1.288 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) in x 1.288 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.288 * [taylor]: Taking taylor expansion of (cos x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0)) in x 1.288 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.288 * [taylor]: Taking taylor expansion of (cos x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos x)) 1.0) in x 1.288 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [taylor]: Taking taylor expansion of (cos x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.289 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0)))) in x 1.289 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) in x 1.289 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.289 * [taylor]: Taking taylor expansion of 1.0 in x 1.289 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.289 * [taylor]: Taking taylor expansion of (cos x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0)) in x 1.289 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.289 * [taylor]: Taking taylor expansion of (cos x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos x)) 1.0) in x 1.289 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.289 * [taylor]: Taking taylor expansion of 1.0 in x 1.289 * [taylor]: Taking taylor expansion of (cos x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) in (x) around 0 1.294 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) in x 1.294 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 1.294 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.294 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 1.294 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 1.294 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.294 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)))) in x 1.296 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.296 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 1.296 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 1.296 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.296 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)))) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)))) in x 1.306 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 1.306 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.306 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.306 * [taylor]: Taking taylor expansion of -1 in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 1.306 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.306 * [taylor]: Taking taylor expansion of -1 in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 1.306 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.306 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.306 * [taylor]: Taking taylor expansion of -1 in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.308 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)))) in x 1.308 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 1.308 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.308 * [taylor]: Taking taylor expansion of 1.0 in x 1.308 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.308 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.308 * [taylor]: Taking taylor expansion of -1 in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 1.308 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.308 * [taylor]: Taking taylor expansion of 1.0 in x 1.308 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.308 * [taylor]: Taking taylor expansion of -1 in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 1.309 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.309 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.309 * [taylor]: Taking taylor expansion of -1 in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * * * [progress]: simplifying candidates 1.321 * [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 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1.0 (cos x))))))) (sqrt (sqrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))))) (sqrt (/ (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))) (cbrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))))))) (sqrt (/ (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))))) (sqrt (/ (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (sqrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))))) (sqrt (/ (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))))) (sqrt (/ (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) 1)) (sqrt (/ (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))))) (sqrt (/ (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))) (cbrt (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos 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(+ 1.0 (cos x))))) (/ 1 2) (sqrt (sqrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))))) (sqrt (sqrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 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)) (- (+ (* 0.000694444444444435 (/ (pow x 5) (sqrt 0.5))) (* x (sqrt 0.5))) (+ (* 0.020833333333333343 (/ (pow x 3) (sqrt 0.5))) (* 0.0002170138888888891 (/ (pow x 5) (pow (sqrt 0.5) 3))))) (sqrt (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))))) (sqrt (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))))) 1.397 * * [simplify]: iteration 0 : 4937 enodes (cost 4493 ) 1.398 * * [simplify]: iteration 1 : 4937 enodes (cost 4493 ) 1.411 * 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(sqrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 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)) (+ (* x (* x 3/2)) (+ (* (pow x 6) 61/240) (* (pow x 4) -7/8))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (+ (* 0.000694444444444435 (/ (pow x 5) (sqrt 0.5))) (- (* x (sqrt 0.5)) (+ (* 0.020833333333333343 (/ (pow x 3) (sqrt 0.5))) (* (/ (pow x 5) (sqrt 0.5)) (/ 0.0002170138888888891 0.5))))) (sqrt (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (* (cos x) (+ 1.0 (cos x)))))) (sqrt (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (* (cos x) (+ 1.0 (cos x)))))) 1.413 * * * [progress]: adding candidates to table 1.777 * [progress]: [Phase 3 of 3] Extracting. 1.777 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.780 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.780 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 1.861 * * * [regime]: Found split indices: #