18.663 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.006 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.007 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.008 * * * * [points]: Setting MPFR precision to 64 0.008 * * * * [points]: Setting MPFR precision to 320 0.008 * * * * [points]: Setting MPFR precision to 576 0.008 * * * * [points]: Setting MPFR precision to 832 0.009 * * * * [points]: Setting MPFR precision to 1088 0.010 * * * * [points]: Setting MPFR precision to 1344 0.012 * * * * [points]: Setting MPFR precision to 1600 0.015 * * * * [points]: Setting MPFR precision to 1856 0.017 * * * * [points]: Setting MPFR precision to 2112 0.026 * * * * [points]: Setting MPFR precision to 2368 0.032 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.032 * * * * [points]: Setting MPFR precision to 2112 0.044 * * * * [points]: Setting MPFR precision to 2368 0.052 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.052 * * * * [points]: Setting MPFR precision to 2112 0.071 * * * * [points]: Setting MPFR precision to 2368 0.094 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.094 * * * * [points]: Setting MPFR precision to 2112 0.130 * * * * [points]: Setting MPFR precision to 2368 0.158 * * * * [points]: Computing exacts for 256 points 0.158 * * * * [points]: Setting MPFR precision to 2112 0.259 * * * * [points]: Setting MPFR precision to 2368 0.349 * * * * [points]: Filtering points with unrepresentable outputs 0.349 * * * * [points]: Sampled 256 points with exact outputs 0.596 * * * [progress]: [2/2] Setting up program. 0.599 * [progress]: [Phase 2 of 3] Improving. 0.599 * [simplify]: Simplifying using # : (- (/ 1.0 x) (/ 1.0 (tan x))) 0.608 * * [simplify]: iteration 0 : 220 enodes (cost 8 ) 0.608 * * [simplify]: iteration 1 : 220 enodes (cost 8 ) 0.608 * [simplify]: Simplified to: (- (/ 1.0 x) (/ 1.0 (tan x))) 0.609 * * [progress]: iteration 1 / 4 0.609 * * * [progress]: picking best candidate 0.611 * * * * [pick]: Picked # 0.611 * * * [progress]: localizing error 0.703 * * * [progress]: generating rewritten candidates 0.703 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.716 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.727 * * * [progress]: generating series expansions 0.727 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.728 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (tan x)))) in (x) around 0 0.728 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (tan x)))) in x 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan x))) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (tan x)) in x 0.728 * [taylor]: Taking taylor expansion of (tan x) in x 0.729 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.729 * [taylor]: Taking taylor expansion of (sin x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (cos x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (tan x)))) in x 0.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan x))) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (tan x)) in x 0.730 * [taylor]: Taking taylor expansion of (tan x) in x 0.730 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.730 * [taylor]: Taking taylor expansion of (sin x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (cos x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.736 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* 1.0 (/ 1 (tan (/ 1 x))))) in (x) around 0 0.736 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 1.0 (/ 1 (tan (/ 1 x))))) in x 0.736 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan (/ 1 x)))) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x 0.736 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.736 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.736 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 1.0 (/ 1 (tan (/ 1 x))))) in x 0.736 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan (/ 1 x)))) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x 0.737 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.737 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.737 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.743 * [approximate]: Taking taylor expansion of (neg (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x))) in (x) around 0 0.743 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x))) in x 0.743 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x)) in x 0.743 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan (/ -1 x)))) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 (tan (/ -1 x))) in x 0.743 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.743 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.743 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x))) in x 0.743 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x)) in x 0.743 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan (/ -1 x)))) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 (tan (/ -1 x))) in x 0.743 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.743 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.743 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.744 * [taylor]: Taking taylor expansion of 1.0 in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.749 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.749 * [approximate]: Taking taylor expansion of (/ 1.0 (tan x)) in (x) around 0 0.749 * [taylor]: Taking taylor expansion of (/ 1.0 (tan x)) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (tan x) in x 0.749 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.749 * [taylor]: Taking taylor expansion of (sin x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (cos x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (/ 1.0 (tan x)) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (tan x) in x 0.750 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.750 * [taylor]: Taking taylor expansion of (sin x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (cos x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.751 * [approximate]: Taking taylor expansion of (/ 1.0 (tan (/ 1 x))) in (x) around 0 0.752 * [taylor]: Taking taylor expansion of (/ 1.0 (tan (/ 1 x))) in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.752 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.752 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (/ 1.0 (tan (/ 1 x))) in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.752 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.752 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.756 * [approximate]: Taking taylor expansion of (/ 1.0 (tan (/ -1 x))) in (x) around 0 0.756 * [taylor]: Taking taylor expansion of (/ 1.0 (tan (/ -1 x))) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.756 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.756 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.756 * [taylor]: Taking taylor expansion of -1 in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.756 * [taylor]: Taking taylor expansion of -1 in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (/ 1.0 (tan (/ -1 x))) in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.757 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.757 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.757 * [taylor]: Taking taylor expansion of -1 in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.757 * [taylor]: Taking taylor expansion of -1 in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.761 * * * [progress]: simplifying candidates 0.761 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 x)) (exp (/ 1.0 (tan x)))) (log (- (/ 1.0 x) (/ 1.0 (tan x)))) (exp (- (/ 1.0 x) (/ 1.0 (tan x)))) (* (cbrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (cbrt (- (/ 1.0 x) (/ 1.0 (tan x))))) (cbrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (* (* (- (/ 1.0 x) (/ 1.0 (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x)))) (- (/ 1.0 x) (/ 1.0 (tan x)))) (sqrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (sqrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (- (* 1.0 (tan x)) (* x 1.0)) (* x (tan x)) (- (pow (/ 1.0 x) 3) (pow (/ 1.0 (tan x)) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ 1.0 (tan x)) (/ 1.0 (tan x))) (* (/ 1.0 x) (/ 1.0 (tan x))))) (neg (/ 1.0 (tan x))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ 1.0 (tan x)) (/ 1.0 (tan x)))) (+ (/ 1.0 x) (/ 1.0 (tan x))) (+ (sqrt (/ 1.0 x)) (sqrt (/ 1.0 (tan x)))) (- (sqrt (/ 1.0 x)) (sqrt (/ 1.0 (tan x)))) (+ (sqrt (/ 1.0 x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (sqrt (/ 1.0 x)) (/ (sqrt 1.0) (sqrt (tan x)))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ 1.0 (tan x)))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ 1.0 (tan x)))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (/ (cbrt 1.0) x) (/ (cbrt 1.0) (tan x))) (- (/ (sqrt 1.0) x) (/ (sqrt 1.0) (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x))) (- (/ 1 x) (/ 1 (tan x))) (- (log 1.0) (log (tan x))) (log (/ 1.0 (tan x))) (exp (/ 1.0 (tan x))) (/ (* (* 1.0 1.0) 1.0) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (/ 1.0 (tan x))) (cbrt (/ 1.0 (tan x)))) (cbrt (/ 1.0 (tan x))) (* (* (/ 1.0 (tan x)) (/ 1.0 (tan x))) (/ 1.0 (tan x))) (sqrt (/ 1.0 (tan x))) (sqrt (/ 1.0 (tan x))) (neg 1.0) (neg (tan x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (tan x)) (cbrt (tan x)))) (/ (cbrt 1.0) (cbrt (tan x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (tan x))) (/ (cbrt 1.0) (sqrt (tan x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (tan x)) (/ (sqrt 1.0) (* (cbrt (tan x)) (cbrt (tan x)))) (/ (sqrt 1.0) (cbrt (tan x))) (/ (sqrt 1.0) (sqrt (tan x))) (/ (sqrt 1.0) (sqrt (tan x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (tan x)) (/ 1 (* (cbrt (tan x)) (cbrt (tan x)))) (/ 1.0 (cbrt (tan x))) (/ 1 (sqrt (tan x))) (/ 1.0 (sqrt (tan x))) (/ 1 1) (/ 1.0 (tan x)) (/ 1 (tan x)) (/ (tan x) 1.0) (/ 1.0 (* (cbrt (tan x)) (cbrt (tan x)))) (/ 1.0 (sqrt (tan x))) (/ 1.0 1) (/ (tan x) (cbrt 1.0)) (/ (tan x) (sqrt 1.0)) (/ (tan x) 1.0) (/ 1.0 (sin x)) (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (- (* 1.0 (/ 1 x)) (* 1.0 (/ (cos x) (sin x)))) (- (* 1.0 (/ 1 x)) (* 1.0 (/ (cos x) (sin x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.022222222222222227 (pow x 3)) (* 0.3333333333333333 x))) (* 1.0 (/ (cos x) (sin x))) (* 1.0 (/ (cos x) (sin x))) 0.804 * * [simplify]: iteration 0 : 4916 enodes (cost 556 ) 0.804 * * [simplify]: iteration 1 : 4916 enodes (cost 556 ) 0.807 * [simplify]: Simplified to: (exp (- (/ 1.0 x) (/ 1.0 (tan x)))) (log (- (/ 1.0 x) (/ 1.0 (tan x)))) (exp (- (/ 1.0 x) (/ 1.0 (tan x)))) (* (cbrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (cbrt (- (/ 1.0 x) (/ 1.0 (tan x))))) (cbrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (pow (- (/ 1.0 x) (/ 1.0 (tan x))) 3) (sqrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (sqrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (* 1.0 (- (tan x) x)) (* x (tan x)) (- (pow (/ 1.0 x) 3) (pow (/ 1.0 (tan x)) 3)) (* 1.0 (+ (/ 1.0 (* (tan x) (tan x))) (/ (+ (/ 1.0 x) (/ 1.0 (tan x))) x))) (/ 1.0 (neg (tan x))) (* 1.0 (- (/ 1.0 (* x x)) (/ 1.0 (* (tan x) (tan x))))) (+ (/ 1.0 x) (/ 1.0 (tan x))) (+ (sqrt (/ 1.0 x)) (sqrt (/ 1.0 (tan x)))) (- (sqrt (/ 1.0 x)) (sqrt (/ 1.0 (tan x)))) (+ (sqrt (/ 1.0 x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (sqrt (/ 1.0 x)) (/ (sqrt 1.0) (sqrt (tan x)))) (+ (sqrt (/ 1.0 (tan x))) (/ (sqrt 1.0) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ 1.0 (tan x)))) (+ (/ (sqrt 1.0) (sqrt (tan x))) (/ (sqrt 1.0) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (/ (cbrt 1.0) x) (/ (cbrt 1.0) (tan x))) (- (/ (sqrt 1.0) x) (/ (sqrt 1.0) (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x))) (+ (/ 1 x) (/ -1 (tan x))) (log (/ 1.0 (tan x))) (log (/ 1.0 (tan x))) (exp (/ 1.0 (tan x))) (pow (/ 1.0 (tan x)) 3) (* (cbrt (/ 1.0 (tan x))) (cbrt (/ 1.0 (tan x)))) (cbrt (/ 1.0 (tan x))) (pow (/ 1.0 (tan x)) 3) (sqrt (/ 1.0 (tan x))) (sqrt (/ 1.0 (tan x))) (neg 1.0) (neg (tan x)) (* (cbrt 1.0) (/ (cbrt 1.0) (* (cbrt (tan x)) (cbrt (tan x))))) (/ (cbrt 1.0) (cbrt (tan x))) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt (tan x)))) (/ (cbrt 1.0) (sqrt (tan x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (tan x)) (/ (sqrt 1.0) (* (cbrt (tan x)) (cbrt (tan x)))) (/ (sqrt 1.0) (cbrt (tan x))) (/ (sqrt 1.0) (sqrt (tan x))) (/ (sqrt 1.0) (sqrt (tan x))) (sqrt 1.0) (/ (sqrt 1.0) (tan x)) (/ 1 (* (cbrt (tan x)) (cbrt (tan x)))) (/ 1.0 (cbrt (tan x))) (/ 1 (sqrt (tan x))) (/ 1.0 (sqrt (tan x))) 1 (/ 1.0 (tan x)) (/ 1 (tan x)) (/ (tan x) 1.0) (/ 1.0 (* (cbrt (tan x)) (cbrt (tan x)))) (/ 1.0 (sqrt (tan x))) 1.0 (/ (tan x) (cbrt 1.0)) (/ (tan x) (sqrt 1.0)) (/ (tan x) 1.0) (/ 1.0 (sin x)) (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* x 0.3333333333333333))) (- (/ 1.0 x) (* 1.0 (/ (cos x) (sin x)))) (- (/ 1.0 x) (* 1.0 (/ (cos x) (sin x)))) (- (/ 1.0 x) (+ (* x 0.3333333333333333) (* (pow x 3) 0.022222222222222227))) (* 1.0 (/ (cos x) (sin x))) (* 1.0 (/ (cos x) (sin x))) 0.807 * * * [progress]: adding candidates to table 0.885 * * [progress]: iteration 2 / 4 0.885 * * * [progress]: picking best candidate 0.890 * * * * [pick]: Picked # 0.890 * * * [progress]: localizing error 0.900 * * * [progress]: generating rewritten candidates 0.900 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.905 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.912 * * * [progress]: generating series expansions 0.912 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.912 * [approximate]: Taking taylor expansion of (* 0.022222222222222223 (pow x 3)) in (x) around 0 0.912 * [taylor]: Taking taylor expansion of (* 0.022222222222222223 (pow x 3)) in x 0.912 * [taylor]: Taking taylor expansion of 0.022222222222222223 in x 0.912 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (* 0.022222222222222223 (pow x 3)) in x 0.912 * [taylor]: Taking taylor expansion of 0.022222222222222223 in x 0.912 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.913 * [approximate]: Taking taylor expansion of (/ 0.022222222222222223 (pow x 3)) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (/ 0.022222222222222223 (pow x 3)) in x 0.913 * [taylor]: Taking taylor expansion of 0.022222222222222223 in x 0.913 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (/ 0.022222222222222223 (pow x 3)) in x 0.914 * [taylor]: Taking taylor expansion of 0.022222222222222223 in x 0.914 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.915 * [approximate]: Taking taylor expansion of (/ -0.022222222222222223 (pow x 3)) in (x) around 0 0.915 * [taylor]: Taking taylor expansion of (/ -0.022222222222222223 (pow x 3)) in x 0.915 * [taylor]: Taking taylor expansion of -0.022222222222222223 in x 0.915 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (/ -0.022222222222222223 (pow x 3)) in x 0.915 * [taylor]: Taking taylor expansion of -0.022222222222222223 in x 0.915 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.916 * [approximate]: Taking taylor expansion of (* 0.0021164021164021165 (pow x 5)) in (x) around 0 0.916 * [taylor]: Taking taylor expansion of (* 0.0021164021164021165 (pow x 5)) in x 0.916 * [taylor]: Taking taylor expansion of 0.0021164021164021165 in x 0.917 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (* 0.0021164021164021165 (pow x 5)) in x 0.917 * [taylor]: Taking taylor expansion of 0.0021164021164021165 in x 0.917 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.918 * [approximate]: Taking taylor expansion of (/ 0.0021164021164021165 (pow x 5)) in (x) around 0 0.918 * [taylor]: Taking taylor expansion of (/ 0.0021164021164021165 (pow x 5)) in x 0.918 * [taylor]: Taking taylor expansion of 0.0021164021164021165 in x 0.918 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (/ 0.0021164021164021165 (pow x 5)) in x 0.918 * [taylor]: Taking taylor expansion of 0.0021164021164021165 in x 0.918 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.919 * [approximate]: Taking taylor expansion of (/ -0.0021164021164021165 (pow x 5)) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (/ -0.0021164021164021165 (pow x 5)) in x 0.919 * [taylor]: Taking taylor expansion of -0.0021164021164021165 in x 0.920 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (/ -0.0021164021164021165 (pow x 5)) in x 0.920 * [taylor]: Taking taylor expansion of -0.0021164021164021165 in x 0.920 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.921 * * * [progress]: simplifying candidates 0.922 * [simplify]: Simplifying using # : (+ (log 0.022222222222222223) (* (log x) 3)) (+ (log 0.022222222222222223) (* (log x) 3)) (+ (log 0.022222222222222223) (log (pow x 3))) (log (* 0.022222222222222223 (pow x 3))) (exp (* 0.022222222222222223 (pow x 3))) (* (* (* 0.022222222222222223 0.022222222222222223) 0.022222222222222223) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 0.022222222222222223 (pow x 3))) (cbrt (* 0.022222222222222223 (pow x 3)))) (cbrt (* 0.022222222222222223 (pow x 3))) (* (* (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3))) (* 0.022222222222222223 (pow x 3))) (sqrt (* 0.022222222222222223 (pow x 3))) (sqrt (* 0.022222222222222223 (pow x 3))) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (sqrt (pow x 3))) (* (sqrt 0.022222222222222223) (sqrt (pow x 3))) (* (sqrt 0.022222222222222223) (pow x (/ 3 2))) (* (sqrt 0.022222222222222223) (pow x (/ 3 2))) (* 0.022222222222222223 (pow (* (cbrt x) (cbrt x)) 3)) (* 0.022222222222222223 (pow (sqrt x) 3)) (* 0.022222222222222223 (pow 1 3)) (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 0.022222222222222223 (pow (* (cbrt x) (cbrt x)) 3)) (* 0.022222222222222223 (pow (sqrt x) 3)) (* 0.022222222222222223 (pow 1 3)) (* 0.022222222222222223 x) (* 0.022222222222222223 (sqrt (pow x 3))) (* 0.022222222222222223 1) (* 0.022222222222222223 (pow x (/ 3 2))) (* (cbrt 0.022222222222222223) (pow x 3)) (* (sqrt 0.022222222222222223) (pow x 3)) (* 0.022222222222222223 (pow x 3)) (+ (log 0.0021164021164021165) (* (log x) 5)) (+ (log 0.0021164021164021165) (* (log x) 5)) (+ (log 0.0021164021164021165) (log (pow x 5))) (log (* 0.0021164021164021165 (pow x 5))) (exp (* 0.0021164021164021165 (pow x 5))) (* (* (* 0.0021164021164021165 0.0021164021164021165) 0.0021164021164021165) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 0.0021164021164021165 (pow x 5))) (cbrt (* 0.0021164021164021165 (pow x 5)))) (cbrt (* 0.0021164021164021165 (pow x 5))) (* (* (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5))) (* 0.0021164021164021165 (pow x 5))) (sqrt (* 0.0021164021164021165 (pow x 5))) (sqrt (* 0.0021164021164021165 (pow x 5))) (* (sqrt 0.0021164021164021165) (pow (sqrt x) 5)) (* (sqrt 0.0021164021164021165) (pow (sqrt x) 5)) (* (sqrt 0.0021164021164021165) (sqrt (pow x 5))) (* (sqrt 0.0021164021164021165) (sqrt (pow x 5))) (* (sqrt 0.0021164021164021165) (pow x (/ 5 2))) (* (sqrt 0.0021164021164021165) (pow x (/ 5 2))) (* 0.0021164021164021165 (pow (* (cbrt x) (cbrt x)) 5)) (* 0.0021164021164021165 (pow (sqrt x) 5)) (* 0.0021164021164021165 (pow 1 5)) (* 0.0021164021164021165 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 0.0021164021164021165 (sqrt (pow x 5))) (* 0.0021164021164021165 1) (* 0.0021164021164021165 (pow x (/ 5 2))) (* (cbrt 0.0021164021164021165) (pow x 5)) (* (sqrt 0.0021164021164021165) (pow x 5)) (* 0.0021164021164021165 (pow x 5)) (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3)) (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5)) 0.968 * * [simplify]: iteration 0 : 4909 enodes (cost 393 ) 0.968 * * [simplify]: iteration 1 : 4909 enodes (cost 393 ) 0.971 * [simplify]: Simplified to: (log (* 0.022222222222222223 (pow x 3))) (log (* 0.022222222222222223 (pow x 3))) (log (* 0.022222222222222223 (pow x 3))) (log (* 0.022222222222222223 (pow x 3))) (pow (exp 0.022222222222222223) (pow x 3)) (* (pow 0.022222222222222223 3) (pow x 9)) (* (cbrt (* 0.022222222222222223 (pow x 3))) (cbrt (* 0.022222222222222223 (pow x 3)))) (cbrt (* 0.022222222222222223 (pow x 3))) (* (pow 0.022222222222222223 3) (pow x 9)) (sqrt (* 0.022222222222222223 (pow x 3))) (sqrt (* 0.022222222222222223 (pow x 3))) (* x (* (sqrt 0.022222222222222223) (sqrt x))) (* x (* (sqrt 0.022222222222222223) (sqrt x))) (* x (* (sqrt 0.022222222222222223) (sqrt x))) (* x (* (sqrt 0.022222222222222223) (sqrt x))) (* (sqrt 0.022222222222222223) (sqrt (pow x 3))) (* (sqrt 0.022222222222222223) (sqrt (pow x 3))) (* (sqrt 0.022222222222222223) (pow x 3/2)) (* (sqrt 0.022222222222222223) (pow x 3/2)) (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (* x (sqrt x))) 0.022222222222222223 (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (* x (sqrt x))) 0.022222222222222223 (* 0.022222222222222223 x) (* 0.022222222222222223 (sqrt (pow x 3))) 0.022222222222222223 (* 0.022222222222222223 (pow x 3/2)) (* (pow x 3) (cbrt 0.022222222222222223)) (* (pow x 3) (sqrt 0.022222222222222223)) (* 0.022222222222222223 (pow x 3)) (log (* 0.0021164021164021165 (pow x 5))) (log (* 0.0021164021164021165 (pow x 5))) (log (* 0.0021164021164021165 (pow x 5))) (log (* 0.0021164021164021165 (pow x 5))) (pow (exp 0.0021164021164021165) (pow x 5)) (pow (* 0.0021164021164021165 (pow x 5)) 3) (* (cbrt (* 0.0021164021164021165 (pow x 5))) (cbrt (* 0.0021164021164021165 (pow x 5)))) (cbrt (* 0.0021164021164021165 (pow x 5))) (pow (* 0.0021164021164021165 (pow x 5)) 3) (sqrt (* 0.0021164021164021165 (pow x 5))) (sqrt (* 0.0021164021164021165 (pow x 5))) (* (sqrt 0.0021164021164021165) (pow (sqrt x) 5)) (* (sqrt 0.0021164021164021165) (pow (sqrt x) 5)) (* (sqrt 0.0021164021164021165) (sqrt (pow x 5))) (* (sqrt 0.0021164021164021165) (sqrt (pow x 5))) (* (sqrt 0.0021164021164021165) (pow x 5/2)) (* (sqrt 0.0021164021164021165) (pow x 5/2)) (* 0.0021164021164021165 (pow (cbrt x) 10)) (* 0.0021164021164021165 (pow (sqrt x) 5)) 0.0021164021164021165 (* 0.0021164021164021165 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 0.0021164021164021165 (sqrt (pow x 5))) 0.0021164021164021165 (* 0.0021164021164021165 (pow x 5/2)) (* (pow x 5) (cbrt 0.0021164021164021165)) (* (pow x 5) (sqrt 0.0021164021164021165)) (* 0.0021164021164021165 (pow x 5)) (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3)) (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5)) 0.971 * * * [progress]: adding candidates to table 1.056 * [progress]: [Phase 3 of 3] Extracting. 1.061 * [simplify]: Simplifying using # : (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* x 0.3333333333333333))) 1.062 * * [simplify]: iteration 0 : 18 enodes (cost 15 ) 1.062 * * [simplify]: iteration 1 : 18 enodes (cost 15 ) 1.062 * [simplify]: Simplified to: (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* x 0.3333333333333333))) 1.062 * * * * [points]: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 1.095 * * * * [points]: Computing exacts on every 500 of 8000 points to ramp up precision 1.096 * * * * [points]: Setting MPFR precision to 2112 1.098 * * * * [points]: Setting MPFR precision to 2368 1.100 * * * * [points]: Computing exacts on every 250 of 8000 points to ramp up precision 1.100 * * * * [points]: Setting MPFR precision to 2112 1.119 * * * * [points]: Setting MPFR precision to 2368 1.133 * * * * [points]: Computing exacts on every 125 of 8000 points to ramp up precision 1.134 * * * * [points]: Setting MPFR precision to 2112 1.153 * * * * [points]: Setting MPFR precision to 2368 1.176 * * * * [points]: Computing exacts on every 62 of 8000 points to ramp up precision 1.176 * * * * [points]: Setting MPFR precision to 2112 1.209 * * * * [points]: Setting MPFR precision to 2368 1.245 * * * * [points]: Computing exacts on every 31 of 8000 points to ramp up precision 1.245 * * * * [points]: Setting MPFR precision to 2112 1.337 * * * * [points]: Setting MPFR precision to 2368 1.445 * * * * [points]: Computing exacts on every 15 of 8000 points to ramp up precision 1.445 * * * * [points]: Setting MPFR precision to 2112 1.625 * * * * [points]: Setting MPFR precision to 2368 1.839 * * * * [points]: Computing exacts on every 7 of 8000 points to ramp up precision 1.840 * * * * [points]: Setting MPFR precision to 2112 2.181 * * * * [points]: Setting MPFR precision to 2368 2.561 * * * * [points]: Computing exacts on every 3 of 8000 points to ramp up precision 2.561 * * * * [points]: Setting MPFR precision to 2112 3.204 * * * * [points]: Setting MPFR precision to 2368 3.888 * * * * [points]: Computing exacts for 8000 points 3.888 * * * * [points]: Setting MPFR precision to 2112 6.741 * * * * [points]: Setting MPFR precision to 2368 9.723 * * * * [points]: Filtering points with unrepresentable outputs 9.734 * * * * [points]: Sampled 8000 points with exact outputs 16.757 * [regime-testing]: End program error score: 0.339135690129067 16.842 * [regime-testing]: Target error score: 0.06631871762068953