4.728 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.052 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.053 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.055 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.056 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.056 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.074 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.102 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.139 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.139 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.176 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.176 * [taylor]: Taking taylor expansion of -1 in x 0.176 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.231 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.231 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.231 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.231 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.233 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.280 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.280 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.283 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [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))))) (* 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))))) (* 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 0.332 * * * [progress]: simplifying candidates 0.333 * [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)))) (- (/ (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))) 0.339 * * [simplify]: iteration 0 : 344 enodes (cost 608 ) 0.345 * * [simplify]: iteration 1 : 1103 enodes (cost 586 ) 0.367 * * [simplify]: iteration 2 : 5001 enodes (cost 574 ) 0.370 * [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)))) (pow x 1/2)) (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)) (pow x 1/2)) (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)) (- (/ 1.0 (pow x 2)) (+ 1 (* (/ 1.0 x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))))) (+ (- (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 (pow x 2))) 1) (- (/ 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)))) (- (/ (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)))) (- (/ 1.0 x) (- (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (/ (sqrt 1.0) x))) (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)))) 0.371 * * * [progress]: adding candidates to table 0.619 * * [progress]: iteration 2 / 4 0.619 * * * [progress]: picking best candidate 0.622 * * * * [pick]: Picked # 0.622 * * * [progress]: localizing error 0.633 * * * [progress]: generating rewritten candidates 0.633 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.634 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.636 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.639 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 3) 0.648 * * * [progress]: generating series expansions 0.648 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.648 * [approximate]: Taking taylor expansion of (fma (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in (x) around 0 0.648 * [taylor]: Taking taylor expansion of (fma (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.648 * [taylor]: Rewrote expression to (+ (* (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (/ 1 x)) (sqrt 1.0))) (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) 0.648 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (/ 1 x)) (sqrt 1.0))) in x 0.648 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (fma (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) in x 0.654 * [taylor]: Rewrote expression to (+ (* (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (/ 1 x)) (sqrt 1.0))) (* (sqrt (- 1.0 (pow x 2))) (/ 1 x))) 0.654 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 x)) (sqrt 1.0)) (* (sqrt (/ 1 x)) (sqrt 1.0))) in x 0.654 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.658 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.658 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.728 * [approximate]: Taking taylor expansion of (fma (* (sqrt x) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0)) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.728 * [taylor]: Taking taylor expansion of (fma (* (sqrt x) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0)) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.728 * [taylor]: Rewrote expression to (+ (* (* (sqrt x) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.728 * [taylor]: Taking taylor expansion of (* (* (sqrt x) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))) in x 0.728 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in x 0.728 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in x 0.730 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.732 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (fma (* (sqrt x) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0)) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.734 * [taylor]: Rewrote expression to (+ (* (* (sqrt x) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.734 * [taylor]: Taking taylor expansion of (* (* (sqrt x) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))) in x 0.734 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in x 0.734 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in x 0.736 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.815 * [approximate]: Taking taylor expansion of (fma (sqrt (* -1.0 x)) (sqrt (* -1.0 x)) (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 0.816 * [taylor]: Taking taylor expansion of (fma (sqrt (* -1.0 x)) (sqrt (* -1.0 x)) (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.816 * [taylor]: Rewrote expression to (+ (* (sqrt (* -1.0 x)) (sqrt (* -1.0 x))) (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.816 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 x)) (sqrt (* -1.0 x))) in x 0.816 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 x)) in x 0.816 * [taylor]: Taking taylor expansion of (* -1.0 x) in x 0.816 * [taylor]: Taking taylor expansion of -1.0 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 x)) in x 0.818 * [taylor]: Taking taylor expansion of (* -1.0 x) in x 0.818 * [taylor]: Taking taylor expansion of -1.0 in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.821 * [taylor]: Taking taylor expansion of -1 in x 0.821 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (fma (sqrt (* -1.0 x)) (sqrt (* -1.0 x)) (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.824 * [taylor]: Rewrote expression to (+ (* (sqrt (* -1.0 x)) (sqrt (* -1.0 x))) (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.824 * [taylor]: Taking taylor expansion of (* (sqrt (* -1.0 x)) (sqrt (* -1.0 x))) in x 0.824 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 x)) in x 0.824 * [taylor]: Taking taylor expansion of (* -1.0 x) in x 0.824 * [taylor]: Taking taylor expansion of -1.0 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 x)) in x 0.832 * [taylor]: Taking taylor expansion of (* -1.0 x) in x 0.832 * [taylor]: Taking taylor expansion of -1.0 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.835 * [taylor]: Taking taylor expansion of -1 in x 0.835 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.835 * [taylor]: Taking taylor expansion of 1.0 in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.885 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.885 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in (x) around 0 0.885 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.885 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [approximate]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in x 0.913 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in x 0.915 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [approximate]: Taking taylor expansion of (sqrt (* -1.0 x)) in (x) around 0 0.934 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 x)) in x 0.934 * [taylor]: Taking taylor expansion of (* -1.0 x) in x 0.934 * [taylor]: Taking taylor expansion of -1.0 in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 x)) in x 0.937 * [taylor]: Taking taylor expansion of (* -1.0 x) in x 0.937 * [taylor]: Taking taylor expansion of -1.0 in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.944 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.944 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [approximate]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in (x) around 0 0.966 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in x 0.966 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.967 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt 1.0)) in x 0.968 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.987 * [approximate]: Taking taylor expansion of (sqrt (* -1.0 x)) in (x) around 0 0.987 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 x)) in x 0.987 * [taylor]: Taking taylor expansion of (* -1.0 x) in x 0.987 * [taylor]: Taking taylor expansion of -1.0 in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (sqrt (* -1.0 x)) in x 0.995 * [taylor]: Taking taylor expansion of (* -1.0 x) in x 0.995 * [taylor]: Taking taylor expansion of -1.0 in x 0.995 * [taylor]: Taking taylor expansion of x in x 1.004 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 3) 1.004 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 1.004 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.004 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.006 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.006 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.037 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.037 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.037 * [taylor]: Taking taylor expansion of 1.0 in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.082 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.082 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.082 * [taylor]: Taking taylor expansion of -1 in x 1.082 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.085 * [taylor]: Taking taylor expansion of -1 in x 1.085 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.131 * * * [progress]: simplifying candidates 1.133 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (* (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x))) (log (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (exp (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x)) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (expm1 (sqrt (/ 1.0 x))) (log1p (sqrt (/ 1.0 x))) (log (sqrt (/ 1.0 x))) (exp (sqrt (/ 1.0 x))) (* (cbrt (sqrt (/ 1.0 x))) (cbrt (sqrt (/ 1.0 x)))) (cbrt (sqrt (/ 1.0 x))) (* (* (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x))) (sqrt (/ 1.0 x))) (sqrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))) (sqrt (cbrt (/ 1.0 x))) (sqrt (sqrt (/ 1.0 x))) (sqrt (sqrt (/ 1.0 x))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x)))) (sqrt (/ (cbrt 1.0) (cbrt x))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x))) (sqrt (/ (cbrt 1.0) (sqrt x))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (cbrt 1.0) x)) (sqrt (/ (sqrt 1.0) (* (cbrt x) (cbrt x)))) (sqrt (/ (sqrt 1.0) (cbrt x))) (sqrt (/ (sqrt 1.0) (sqrt x))) (sqrt (/ (sqrt 1.0) (sqrt x))) (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) x)) (sqrt (/ 1 (* (cbrt x) (cbrt x)))) (sqrt (/ 1.0 (cbrt x))) (sqrt (/ 1 (sqrt x))) (sqrt (/ 1.0 (sqrt x))) (sqrt (/ 1 1)) (sqrt (/ 1.0 x)) (sqrt 1) (sqrt (/ 1.0 x)) (sqrt 1.0) (sqrt (/ 1 x)) (sqrt 1.0) (sqrt x) (/ 1 2) (sqrt (sqrt (/ 1.0 x))) (sqrt (sqrt (/ 1.0 x))) (expm1 (sqrt (/ 1.0 x))) 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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 (- 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(/ (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)))) (- (/ (sqrt 1.0) x) (+ (* +nan.0 (* x (pow (sqrt 1.0) 2))) (- (* 1/2 (/ x (sqrt 1.0))) (* +nan.0 (pow (sqrt 1.0) 2))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 3)))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (- (sqrt -1) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (* +nan.0 (sqrt 1.0))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 3))) (- (* +nan.0 (/ (sqrt 1.0) (pow x 2)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (* +nan.0 (sqrt 1.0))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 3))) (- (* +nan.0 (/ (sqrt 1.0) (pow x 2)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (/ (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))) 1.140 * * [simplify]: iteration 0 : 468 enodes (cost 918 ) 1.148 * * [simplify]: iteration 1 : 1590 enodes (cost 836 ) 1.175 * * [simplify]: iteration 2 : 5001 enodes (cost 809 ) 1.179 * [simplify]: Simplified to: (expm1 (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (/ 1.0 x) (log (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) (pow (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) 3) (sqrt (fma (sqrt (/ 1.0 x)) (sqrt (/ 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(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)))) (+ (- (/ (sqrt 1.0) x) (* 1/2 (/ x (sqrt 1.0)))) (* 1.0 (- +nan.0 (* +nan.0 x)))) (- (sqrt -1) (- (* (/ (/ 1.0 x) x) (- +nan.0 (/ +nan.0 x))) (/ (/ 0.5 (sqrt -1)) (pow x 2)))) (+ (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1))) (* (/ 1 (pow x 2)) (- +nan.0 (/ +nan.0 x)))) (fma (- (* +nan.0 x)) (sqrt 1.0) (* (sqrt 1.0) (- (* +nan.0 (pow x 2)) +nan.0))) (fma (- +nan.0) (/ (sqrt 1.0) x) (* +nan.0 (- (/ (sqrt 1.0) (pow x 3)) (/ (sqrt 1.0) (pow x 2))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma (- (* +nan.0 x)) (sqrt 1.0) (* (sqrt 1.0) (- (* +nan.0 (pow x 2)) +nan.0))) (fma (- +nan.0) (/ (sqrt 1.0) x) (* +nan.0 (- (/ (sqrt 1.0) (pow x 3)) (/ (sqrt 1.0) (pow x 2))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (- (/ (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)))) 1.179 * * * [progress]: adding candidates to table 1.614 * [progress]: [Phase 3 of 3] Extracting. 1.617 * [simplify]: Simplifying using # : (log (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) 1.617 * * [simplify]: iteration 0 : 10 enodes (cost 10 ) 1.617 * [simplify]: Simplified to: (log (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (/ (sqrt (- 1.0 (* x x))) x))) 3.137 * [regime-testing]: End program error score: 0.026878359794974372