18.263 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.070 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.071 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.072 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.074 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.074 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.074 * * [progress]: iteration 1 / 4 0.074 * * * [progress]: picking best candidate 0.076 * * * * [pick]: Picked # 0.076 * * * [progress]: localizing error 0.085 * * * [progress]: generating rewritten candidates 0.085 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.091 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.112 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.112 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.112 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.148 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.148 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.187 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.187 * [taylor]: Taking taylor expansion of -1 in x 0.187 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.242 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.242 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.242 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.246 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.246 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.360 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.360 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.360 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.372 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.372 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.434 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.434 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.434 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.434 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.442 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.442 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.442 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.533 * * * [progress]: simplifying candidates 0.534 * [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 (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))) (- (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))))) 0.541 * * [simplify]: iteration 0 : 436 enodes (cost 723 ) 0.549 * * [simplify]: iteration 1 : 1521 enodes (cost 687 ) 0.574 * * [simplify]: iteration 2 : 5002 enodes (cost 677 ) 0.578 * [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 (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) (fma 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)))) (- (- (log (+ (sqrt 1.0) 1.0)) (fma 1/2 (/ x (/ (+ (* (sqrt 1.0) 1.0) 1.0) x)) (fma 1/8 (/ (/ (pow x 4) (pow (+ (sqrt 1.0) 1.0) 2)) 1.0) (log x)))) (* (/ 1/8 (fma 1.0 (sqrt 1.0) 1.0)) (/ (pow x 4) 1.0))) (- (/ 1.0 (* x (sqrt -1))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (log (sqrt -1)))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (- (/ 1.0 (* x (sqrt -1))) (log (- (sqrt -1))))) 0.579 * * * [progress]: adding candidates to table 0.727 * * [progress]: iteration 2 / 4 0.727 * * * [progress]: picking best candidate 0.729 * * * * [pick]: Picked # 0.729 * * * [progress]: localizing error 0.742 * * * [progress]: generating rewritten candidates 0.742 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.743 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1 1) 0.749 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.757 * * * [progress]: generating series expansions 0.757 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.757 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in (x) around 0 0.758 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 0.758 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1) 0.758 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 0.758 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.758 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 0.758 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of 1 in x 0.758 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of 1 in x 0.763 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 0.763 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1) 0.764 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.764 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 0.764 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of 1 in x 0.764 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.764 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of 1 in x 0.818 * [approximate]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.819 * [taylor]: Rewrote expression to (- (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1) 0.819 * [taylor]: Taking taylor expansion of (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.819 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.819 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.819 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.819 * [taylor]: Taking taylor expansion of 1 in x 0.819 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.819 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.819 * [taylor]: Taking taylor expansion of 1.0 in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of 1 in x 0.826 * [taylor]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.826 * [taylor]: Rewrote expression to (- (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1) 0.826 * [taylor]: Taking taylor expansion of (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.826 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.826 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.826 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.826 * [taylor]: Taking taylor expansion of 1 in x 0.826 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of 1 in x 0.974 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in (x) around 0 0.974 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 0.974 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1) 0.974 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 0.974 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.974 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 0.974 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.974 * [taylor]: Taking taylor expansion of 1 in x 0.974 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.974 * [taylor]: Taking taylor expansion of -1 in x 0.974 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.974 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.974 * [taylor]: Taking taylor expansion of 1.0 in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of 1 in x 0.983 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 0.983 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1) 0.983 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 0.983 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.983 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 0.983 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.983 * [taylor]: Taking taylor expansion of 1 in x 0.983 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.983 * [taylor]: Taking taylor expansion of -1 in x 0.983 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.983 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of 1 in x 1.144 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1 1) 1.144 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 1.144 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.144 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.145 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.183 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.183 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.186 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.221 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.221 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.224 * [taylor]: Taking taylor expansion of -1 in x 1.224 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.277 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.277 * [approximate]: Taking taylor expansion of (log (+ (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) (* 1.0 (/ 1 x)))) in (x) around 0 1.277 * [taylor]: Taking taylor expansion of (log (+ (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) (* 1.0 (/ 1 x)))) in x 1.277 * [taylor]: Taking taylor expansion of (+ (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) (* 1.0 (/ 1 x))) in x 1.277 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 1.277 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1) 1.277 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 1.277 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.277 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1.277 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.277 * [taylor]: Taking taylor expansion of 1 in x 1.277 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.277 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.282 * [taylor]: Taking taylor expansion of 1 in x 1.282 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.282 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of (log (+ (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) (* 1.0 (/ 1 x)))) in x 1.283 * [taylor]: Taking taylor expansion of (+ (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) (* 1.0 (/ 1 x))) in x 1.283 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 1.283 * [taylor]: Rewrote expression to (- (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1) 1.283 * [taylor]: Taking taylor expansion of (exp (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) in x 1.284 * [taylor]: Taking taylor expansion of (log1p (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.284 * [taylor]: Rewrote expression to (log (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)))) 1.284 * [taylor]: Taking taylor expansion of (+ 1 (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 1.284 * [taylor]: Taking taylor expansion of 1 in x 1.284 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.284 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.284 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of 1 in x 1.289 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.289 * [taylor]: Taking taylor expansion of 1.0 in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.316 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 x) (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))))) in (x) around 0 1.317 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 x) (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))))) in x 1.317 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.317 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.317 * [taylor]: Rewrote expression to (- (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1) 1.317 * [taylor]: Taking taylor expansion of (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.317 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.317 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.317 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.317 * [taylor]: Taking taylor expansion of 1 in x 1.317 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of 1 in x 1.328 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 x) (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))))) in x 1.328 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.328 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (expm1 (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.328 * [taylor]: Rewrote expression to (- (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1) 1.328 * [taylor]: Taking taylor expansion of (exp (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.328 * [taylor]: Taking taylor expansion of (log1p (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.328 * [taylor]: Rewrote expression to (log (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.328 * [taylor]: Taking taylor expansion of (+ 1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.328 * [taylor]: Taking taylor expansion of 1 in x 1.328 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of 1 in x 1.437 * [approximate]: Taking taylor expansion of (log (- (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) (* 1.0 x))) in (x) around 0 1.437 * [taylor]: Taking taylor expansion of (log (- (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) (* 1.0 x))) in x 1.437 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) (* 1.0 x)) in x 1.437 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.437 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1) 1.437 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.437 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.437 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1.437 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.437 * [taylor]: Taking taylor expansion of 1 in x 1.437 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.437 * [taylor]: Taking taylor expansion of -1 in x 1.437 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of 1 in x 1.447 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (log (- (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) (* 1.0 x))) in x 1.450 * [taylor]: Taking taylor expansion of (- (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) (* 1.0 x)) in x 1.450 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.450 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1) 1.450 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) in x 1.450 * [taylor]: Taking taylor expansion of (log1p (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.450 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))))) 1.450 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.450 * [taylor]: Taking taylor expansion of 1 in x 1.450 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.450 * [taylor]: Taking taylor expansion of -1 in x 1.450 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of 1 in x 1.459 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.572 * * * [progress]: simplifying candidates 1.573 * [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)))) (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 (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log1p (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log (* (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))))) (log (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log (sqrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log (sqrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log 1) (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (log 1) (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (log (+ (pow (/ 1.0 x) 3) (pow (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))) 3))) (log (+ (* (/ 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))))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log (- (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (log (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (exp (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (* (cbrt (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (cbrt (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))))) (cbrt (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (* (* (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (sqrt (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (sqrt (log (+ (/ 1.0 x) (expm1 (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))) (- (/ (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))) (- (+ (* 1.0 (* x (exp (- (log (sqrt 1.0)) (log x))))) (+ (log 1.0) (+ (* 1.0 (/ (* (pow x 2) (exp (- (log (sqrt 1.0)) (log x)))) (sqrt 1.0))) (/ (* (pow x 2) (exp (- (log (sqrt 1.0)) (log x)))) (pow 1.0 2))))) (+ (log x) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1/2 (/ (* (pow x 2) (pow (exp (- (log (sqrt 1.0)) (log x))) 2)) (pow 1.0 2))) (* 1.0 x))))) (- (+ (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))))) 1.581 * * [simplify]: iteration 0 : 450 enodes (cost 856 ) 1.588 * * [simplify]: iteration 1 : 1579 enodes (cost 802 ) 1.616 * * [simplify]: iteration 2 : 5001 enodes (cost 767 ) 1.620 * [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)) (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 (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log1p (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (* 2 (log (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))))) (log (cbrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log (sqrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log (sqrt (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) 0 (log (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) 0 (log (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (log (+ (pow (/ 1.0 x) 3) (pow (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))) 3))) (log (+ (* (/ 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))))))) (+ (log (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (log (- (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (log (- (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))) (log (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (log (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) (* (cbrt (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (cbrt (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))))) (cbrt (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (pow (log (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) 3) (sqrt (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (sqrt (log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))) (- 1 (- (fma 1/2 (/ (/ (* (pow x 2) (sqrt 1.0)) x) 1.0) 1) (/ (sqrt 1.0) x))) (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) (fma 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)))) (- (- (+ (/ (* (/ (* (pow x 2) (sqrt 1.0)) x) 1.0) (sqrt 1.0)) (+ (log 1.0) (* (/ (sqrt 1.0) x) (+ (/ (pow x 2) (pow 1.0 2)) (* 1.0 x))))) (* (/ 1/2 1.0) (+ (/ (pow x 2) 1.0) (* (/ (pow (/ (sqrt 1.0) x) 2) 1.0) (/ (pow x 2) 1))))) (fma x 1.0 (log x))) (- (/ 1.0 (* x (sqrt -1))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (log (sqrt -1)))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (- (/ 1.0 (* x (sqrt -1))) (log (- (sqrt -1))))) 1.621 * * * [progress]: adding candidates to table 1.826 * [progress]: [Phase 3 of 3] Extracting. 1.826 * * [regime]: Finding splitpoints for: (# #) 1.826 * * * [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) 1.826 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 1.846 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 1.864 * * * * [regimes]: Trying to branch on x from (# #) 1.878 * * * [regime]: Found split indices: #