9.686 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.064 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.065 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.067 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.068 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.068 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.086 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.110 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.133 * * * [progress]: generating series expansions 0.133 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.133 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.133 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.166 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.166 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.208 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.208 * [taylor]: Taking taylor expansion of -1 in x 0.208 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.208 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.260 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.260 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.262 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.262 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.303 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.303 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.306 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.327 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.327 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.327 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.330 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.330 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.358 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.358 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.358 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.358 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.358 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.362 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.362 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.475 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.475 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.475 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.481 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.481 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.547 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.547 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.548 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.548 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.555 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.555 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.555 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.555 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.558 * [taylor]: Taking taylor expansion of 1.0 in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.639 * * * [progress]: simplifying candidates 0.641 * [simplify]: Simplifying using # : (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (expm1 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (/ 1 1)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (log (+ (sqrt 1.0) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (+ (log (- (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 1 (* x (sqrt -1))))) 0.648 * * [simplify]: iteration 0 : 479 enodes (cost 926 ) 0.657 * * [simplify]: iteration 1 : 1679 enodes (cost 875 ) 0.683 * * [simplify]: iteration 2 : 5001 enodes (cost 867 ) 0.692 * [simplify]: Simplified to: (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (/ (fabs (cbrt (- 1.0 (* x x)))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt (- 1.0 (* x x))) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (fma (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) (* (/ 1.0 x) (/ 1.0 x))) (fma (/ 1.0 x) (/ 1.0 x) (- (/ (- 1.0 (* x x)) (pow x 2)))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (expm1 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* 2 (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (pow (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 3) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (+ (/ (sqrt 1.0) x) (- (* 1.0 (/ 1 x)) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (fma (/ 1 (* (pow x 2) (sqrt -1))) 0.5 (fma 1.0 (/ 1 x) (sqrt -1))) (fma 1.0 (/ 1 x) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (- (- (- (log (+ (sqrt 1.0) 1.0)) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))) (fma 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0))) (log x))) (* (/ 1/8 (pow (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 4) 1.0))) (+ (/ (- 0.16666666666666666) (* (pow x 3) (pow (sqrt -1) 3))) (fma 1.0 (/ 1 (* x (sqrt -1))) (log (sqrt -1)))) (+ (/ (- 1.0) (* x (sqrt -1))) (fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (log (- (sqrt -1))))) 0.692 * * * [progress]: adding candidates to table 0.918 * * [progress]: iteration 2 / 4 0.918 * * * [progress]: picking best candidate 0.920 * * * * [pick]: Picked # 0.920 * * * [progress]: localizing error 0.935 * * * [progress]: generating rewritten candidates 0.935 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.935 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.936 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 0.942 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.952 * * * [progress]: generating series expansions 0.952 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.953 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 0.953 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1) 0.953 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 0.953 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.953 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 0.953 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.953 * [taylor]: Taking taylor expansion of 1 in x 0.953 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.953 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.953 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of 1 in x 0.959 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 0.959 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1) 0.959 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 0.959 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.959 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 0.959 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.959 * [taylor]: Taking taylor expansion of 1 in x 0.959 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.959 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.959 * [taylor]: Taking taylor expansion of 1.0 in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of 1 in x 1.012 * [approximate]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 1.012 * [taylor]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.012 * [taylor]: Rewrote expression to (- (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1) 1.012 * [taylor]: Taking taylor expansion of (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.012 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.012 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.012 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.012 * [taylor]: Taking taylor expansion of 1 in x 1.012 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of 1 in x 1.020 * [taylor]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.020 * [taylor]: Rewrote expression to (- (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1) 1.020 * [taylor]: Taking taylor expansion of (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.020 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.020 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.020 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.020 * [taylor]: Taking taylor expansion of 1 in x 1.020 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.020 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of 1 in x 1.162 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in (x) around 0 1.162 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.162 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1) 1.162 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.162 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.162 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1.163 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.163 * [taylor]: Taking taylor expansion of 1 in x 1.163 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.163 * [taylor]: Taking taylor expansion of -1 in x 1.163 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of 1 in x 1.172 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.172 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1) 1.172 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.172 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.172 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1.172 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.172 * [taylor]: Taking taylor expansion of 1 in x 1.172 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.172 * [taylor]: Taking taylor expansion of -1 in x 1.172 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of 1 in x 1.329 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.329 * [approximate]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.329 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1.329 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.329 * [taylor]: Taking taylor expansion of 1 in x 1.329 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.329 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.332 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1.332 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.332 * [taylor]: Taking taylor expansion of 1 in x 1.332 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.332 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.332 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.368 * [approximate]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.369 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.369 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.369 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.369 * [taylor]: Taking taylor expansion of 1 in x 1.369 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.375 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.375 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.375 * [taylor]: Taking taylor expansion of 1 in x 1.375 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.482 * [approximate]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 1.482 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.482 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1.482 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.482 * [taylor]: Taking taylor expansion of 1 in x 1.482 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.482 * [taylor]: Taking taylor expansion of -1 in x 1.482 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.490 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1.490 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.490 * [taylor]: Taking taylor expansion of 1 in x 1.490 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.490 * [taylor]: Taking taylor expansion of -1 in x 1.490 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.490 * [taylor]: Taking taylor expansion of 1.0 in x 1.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.615 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.615 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 1.615 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.615 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.615 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.615 * [taylor]: Taking taylor expansion of 1.0 in x 1.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.617 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.617 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.617 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.617 * [taylor]: Taking taylor expansion of 1.0 in x 1.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.648 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.648 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.649 * [taylor]: Taking taylor expansion of 1.0 in x 1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.693 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.693 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.693 * [taylor]: Taking taylor expansion of -1 in x 1.693 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.693 * [taylor]: Taking taylor expansion of 1.0 in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.696 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.696 * [taylor]: Taking taylor expansion of -1 in x 1.696 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.696 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.696 * [taylor]: Taking taylor expansion of 1.0 in x 1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.749 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.749 * [approximate]: Taking taylor expansion of (+ (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) (* 1.0 (/ 1 x))) in (x) around 0 1.749 * [taylor]: Taking taylor expansion of (+ (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) (* 1.0 (/ 1 x))) in x 1.749 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 1.750 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1) 1.750 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 1.750 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.750 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1.750 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.750 * [taylor]: Taking taylor expansion of 1 in x 1.750 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.750 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.750 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.750 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.755 * [taylor]: Taking taylor expansion of 1 in x 1.755 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.755 * [taylor]: Taking taylor expansion of 1.0 in x 1.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.755 * [taylor]: Taking taylor expansion of x in x 1.755 * [taylor]: Taking taylor expansion of (+ (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) (* 1.0 (/ 1 x))) in x 1.755 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 1.755 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1) 1.756 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 1.756 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.756 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1.756 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.756 * [taylor]: Taking taylor expansion of 1 in x 1.756 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.756 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of 1 in x 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.778 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in (x) around 0 1.778 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.778 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.778 * [taylor]: Taking taylor expansion of 1.0 in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [taylor]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.778 * [taylor]: Rewrote expression to (- (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1) 1.778 * [taylor]: Taking taylor expansion of (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.779 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.779 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.779 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.779 * [taylor]: Taking taylor expansion of 1 in x 1.779 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.779 * [taylor]: Taking taylor expansion of 1.0 in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of 1 in x 1.786 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.786 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.786 * [taylor]: Taking taylor expansion of 1.0 in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.786 * [taylor]: Rewrote expression to (- (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1) 1.786 * [taylor]: Taking taylor expansion of (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.786 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.786 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.786 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.786 * [taylor]: Taking taylor expansion of 1 in x 1.786 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.787 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.787 * [taylor]: Taking taylor expansion of 1.0 in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of 1 in x 1.840 * [approximate]: Taking taylor expansion of (- (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) (* 1.0 x)) in (x) around 0 1.840 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) (* 1.0 x)) in x 1.840 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.840 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1) 1.840 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.840 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.840 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1.840 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.840 * [taylor]: Taking taylor expansion of 1 in x 1.840 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.840 * [taylor]: Taking taylor expansion of -1 in x 1.840 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.840 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.849 * [taylor]: Taking taylor expansion of 1 in x 1.849 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.849 * [taylor]: Taking taylor expansion of 1.0 in x 1.849 * [taylor]: Taking taylor expansion of x in x 1.849 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) (* 1.0 x)) in x 1.849 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.850 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1) 1.850 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.850 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.850 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1.850 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.850 * [taylor]: Taking taylor expansion of 1 in x 1.850 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.850 * [taylor]: Taking taylor expansion of -1 in x 1.850 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.850 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.850 * [taylor]: Taking taylor expansion of 1.0 in x 1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.859 * [taylor]: Taking taylor expansion of 1 in x 1.859 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.909 * * * [progress]: simplifying candidates 1.916 * [simplify]: Simplifying using # : (exp (log1p (/ (sqrt (- 1.0 (* x x))) x))) (expm1 (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (log (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (exp (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (+ 1 (/ (sqrt (- 1.0 (* x x))) x)) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))) (log1p (log1p (/ (sqrt (- 1.0 (* x x))) x))) (log (log1p (/ (sqrt (- 1.0 (* x x))) x))) (exp (log1p (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (log1p (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log1p (/ (sqrt (- 1.0 (* x x))) x))) (* (* (log1p (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x))) (log1p (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (log1p (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (log1p (/ (sqrt (- 1.0 (* x x))) x))) (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (expm1 (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (log1p (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (* (exp (/ 1.0 x)) (exp (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (exp (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (* (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (* (* (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (+ (pow (/ 1.0 x) 3) (pow (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (* (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (- (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (+ (/ 1.0 x) (exp (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (- (+ (exp (- (log (sqrt 1.0)) (log x))) (/ (* x (exp (- (log (sqrt 1.0)) (log x)))) (sqrt 1.0))) (+ (* 1/2 (/ (* (pow x 2) (exp (- (log (sqrt 1.0)) (log x)))) (pow (sqrt 1.0) 2))) 1)) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (/ (pow x 2) (pow (sqrt 1.0) 2)) (log x))) (- (+ (log (+ (sqrt -1) 1)) (* 0.5 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1)))))) (+ (* 0.125 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1))))) (* 0.125 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2))))))) (- (+ (log (- 1 (sqrt -1))) (* 0.125 (/ 1 (* (- 1 (sqrt -1)) (* (pow (sqrt -1) 3) (pow x 4)))))) (+ (* 0.5 (/ 1 (* (- 1 (sqrt -1)) (* (sqrt -1) (pow x 2))))) (* 0.125 (/ 1 (* (pow (- 1 (sqrt -1)) 2) (* (pow (sqrt -1) 2) (pow x 4))))))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (+ (exp (- (log (sqrt 1.0)) (log x))) (+ (/ (* x (exp (- (log (sqrt 1.0)) (log x)))) (sqrt 1.0)) (* 1.0 (/ 1 x)))) 1) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 1.923 * * [simplify]: iteration 0 : 515 enodes (cost 886 ) 1.932 * * [simplify]: iteration 1 : 1961 enodes (cost 834 ) 1.967 * * [simplify]: iteration 2 : 5002 enodes (cost 814 ) 1.972 * [simplify]: Simplified to: (exp (log1p (/ (sqrt (- 1.0 (* x x))) x))) (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (+ 1 (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x) (log1p (log1p (/ (sqrt (- 1.0 (* x x))) x))) (log (log1p (/ (sqrt (- 1.0 (* x x))) x))) (exp (log1p (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (log1p (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log1p (/ (sqrt (- 1.0 (* x x))) x))) (pow (log1p (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (log1p (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (log1p (/ (sqrt (- 1.0 (* x x))) x))) (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (/ (fabs (cbrt (- 1.0 (* x x)))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt (- 1.0 (* x x))) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (expm1 (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (log1p (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (pow (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) 3) (sqrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (+ (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (pow (/ 1.0 x) 3)) (fma (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) (* (/ 1.0 x) (/ 1.0 x))) (fma (/ 1.0 x) (/ 1.0 x) (- (/ (- 1.0 (* x x)) (pow x 2)))) (+ (/ 1.0 x) (- (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) (+ (/ 1.0 x) (exp (log1p (/ (sqrt (- 1.0 (* x x))) x)))) (fma (/ x (sqrt 1.0)) (/ (sqrt 1.0) x) (- (exp (- (log (sqrt 1.0)) (log x))) (fma 1/2 (/ (* (pow x 2) (exp (- (log (sqrt 1.0)) (log x)))) (pow (sqrt 1.0) 2)) 1))) (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (/ (pow x 2) (pow (sqrt 1.0) 2)) (log x))) (fma (/ 0.5 (+ (sqrt -1) -1)) (/ 1 (pow x 2)) (- (log1p (sqrt -1)) (fma 0.125 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))) (* 0.125 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))))))) (fma 0.125 (/ 1 (* (- 1 (sqrt -1)) (* (pow (sqrt -1) 3) (pow x 4)))) (- (log (- 1 (sqrt -1))) (fma 0.5 (/ 1 (* (- 1 (sqrt -1)) (* (sqrt -1) (pow x 2)))) (* 0.125 (/ 1 (* (pow (- 1 (sqrt -1)) 2) (* (pow (sqrt -1) 2) (pow x 4)))))))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (+ (fma 1.0 (/ 1 x) (/ (* x (exp (- (log (sqrt 1.0)) (log x)))) (sqrt 1.0))) (- (exp (- (log (sqrt 1.0)) (log x))) 1)) (fma (/ 1 (* (pow x 2) (sqrt -1))) 0.5 (fma 1.0 (/ 1 x) (sqrt -1))) (fma 1.0 (/ 1 x) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) 1.972 * * * [progress]: adding candidates to table 2.248 * [progress]: [Phase 3 of 3] Extracting. 2.248 * * [regime]: Finding splitpoints for: (# #) 2.248 * * * [regime-changes]: Trying 3 branch expressions: ((+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) x) 2.248 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 2.263 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 2.286 * * * * [regimes]: Trying to branch on x from (# #) 2.297 * * * [regime]: Found split indices: #