9.626 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.045 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.046 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.047 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.047 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.061 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.067 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.074 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.074 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.099 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.113 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.127 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.128 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.130 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.140 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.159 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.159 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.193 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.194 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 0.194 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.194 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.194 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.194 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.198 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.198 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.251 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.254 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.300 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.382 * * * [progress]: simplifying candidates 0.383 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (log (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log 1) (log (+ x (sqrt (- (* x x) 1.0)))) (log 1) (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (exp (log (+ x (sqrt (- (* x x) 1.0))))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (* (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0))))) (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2)))))) (- (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.0078125 (/ 1 (* (pow x 4) (pow -0.5 2))))) 0.388 * * [simplify]: iteration 0 : 339 enodes (cost 436 ) 0.393 * * [simplify]: iteration 1 : 1140 enodes (cost 401 ) 0.413 * * [simplify]: iteration 2 : 5001 enodes (cost 389 ) 0.415 * [simplify]: Simplified to: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (- (fma x x (pow x 2)) (+ 1.0 (* x (sqrt (- (* x x) 1.0))))) (+ 0 1.0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (* 2 (log (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (+ x (sqrt (- (* x x) 1.0))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) x) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.0625 (/ 1 (pow x 5)) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (fma 0.25 (/ 1 (pow x 2)) (+ (log (- 0.5)) (log (/ -1 x)))) (* (/ 1 (pow x 4)) (- 0.125 (/ 0.0078125 (pow -0.5 2))))) 0.415 * * * [progress]: adding candidates to table 0.563 * * [progress]: iteration 2 / 4 0.563 * * * [progress]: picking best candidate 0.567 * * * * [pick]: Picked # 0.567 * * * [progress]: localizing error 0.579 * * * [progress]: generating rewritten candidates 0.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 3) 0.584 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.585 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.592 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.605 * * * [progress]: generating series expansions 0.605 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 3) 0.605 * [approximate]: Taking taylor expansion of (/ 0.125 (pow x 3)) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 0.605 * [taylor]: Taking taylor expansion of 0.125 in x 0.605 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 0.606 * [taylor]: Taking taylor expansion of 0.125 in x 0.606 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.617 * [approximate]: Taking taylor expansion of (* 0.125 (pow x 3)) in (x) around 0 0.617 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.617 * [taylor]: Taking taylor expansion of 0.125 in x 0.617 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.617 * [taylor]: Taking taylor expansion of 0.125 in x 0.617 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.629 * [approximate]: Taking taylor expansion of (* -0.125 (pow x 3)) in (x) around 0 0.629 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 0.629 * [taylor]: Taking taylor expansion of -0.125 in x 0.629 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 0.629 * [taylor]: Taking taylor expansion of -0.125 in x 0.629 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.640 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.641 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) in (x) around 0 0.641 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) in x 0.641 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (/ 0.125 (pow x 3))) 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of 0.5 in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 0.641 * [taylor]: Taking taylor expansion of 0.125 in x 0.641 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) in x 0.642 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (/ 0.125 (pow x 3))) 0.642 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.642 * [taylor]: Taking taylor expansion of 0.5 in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 0.642 * [taylor]: Taking taylor expansion of 0.125 in x 0.642 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.667 * [approximate]: Taking taylor expansion of (fma 0.5 x (* 0.125 (pow x 3))) in (x) around 0 0.667 * [taylor]: Taking taylor expansion of (fma 0.5 x (* 0.125 (pow x 3))) in x 0.667 * [taylor]: Rewrote expression to (+ (* 0.5 x) (* 0.125 (pow x 3))) 0.667 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.667 * [taylor]: Taking taylor expansion of 0.5 in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.667 * [taylor]: Taking taylor expansion of 0.125 in x 0.667 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (fma 0.5 x (* 0.125 (pow x 3))) in x 0.667 * [taylor]: Rewrote expression to (+ (* 0.5 x) (* 0.125 (pow x 3))) 0.667 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.667 * [taylor]: Taking taylor expansion of 0.5 in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.667 * [taylor]: Taking taylor expansion of 0.125 in x 0.667 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.694 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) in x 0.695 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 x)) (* -0.125 (pow x 3))) 0.695 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 x)) in x 0.695 * [taylor]: Taking taylor expansion of 0.5 in x 0.695 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 0.695 * [taylor]: Taking taylor expansion of -0.125 in x 0.695 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) in x 0.695 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 x)) (* -0.125 (pow x 3))) 0.695 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 x)) in x 0.695 * [taylor]: Taking taylor expansion of 0.5 in x 0.695 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 0.695 * [taylor]: Taking taylor expansion of -0.125 in x 0.695 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.723 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.724 * [approximate]: Taking taylor expansion of (- (* 2 x) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) in (x) around 0 0.724 * [taylor]: Taking taylor expansion of (- (* 2 x) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) in x 0.724 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.724 * [taylor]: Taking taylor expansion of 2 in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) in x 0.724 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (/ 0.125 (pow x 3))) 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.724 * [taylor]: Taking taylor expansion of 0.5 in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 0.724 * [taylor]: Taking taylor expansion of 0.125 in x 0.724 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (- (* 2 x) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) in x 0.725 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.725 * [taylor]: Taking taylor expansion of 2 in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) in x 0.725 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (/ 0.125 (pow x 3))) 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.725 * [taylor]: Taking taylor expansion of 0.5 in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 0.726 * [taylor]: Taking taylor expansion of 0.125 in x 0.726 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.740 * [approximate]: Taking taylor expansion of (- (* 2 (/ 1 x)) (fma 0.5 x (* 0.125 (pow x 3)))) in (x) around 0 0.740 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x)) (fma 0.5 x (* 0.125 (pow x 3)))) in x 0.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of 2 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (fma 0.5 x (* 0.125 (pow x 3))) in x 0.741 * [taylor]: Rewrote expression to (+ (* 0.5 x) (* 0.125 (pow x 3))) 0.741 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.741 * [taylor]: Taking taylor expansion of 0.5 in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.741 * [taylor]: Taking taylor expansion of 0.125 in x 0.741 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x)) (fma 0.5 x (* 0.125 (pow x 3)))) in x 0.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of 2 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (fma 0.5 x (* 0.125 (pow x 3))) in x 0.741 * [taylor]: Rewrote expression to (+ (* 0.5 x) (* 0.125 (pow x 3))) 0.741 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.742 * [taylor]: Taking taylor expansion of 0.5 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.742 * [taylor]: Taking taylor expansion of 0.125 in x 0.742 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.759 * [approximate]: Taking taylor expansion of (- (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x)))) in (x) around 0 0.759 * [taylor]: Taking taylor expansion of (- (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x)))) in x 0.759 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x))) in x 0.759 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) in x 0.759 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 x)) (* -0.125 (pow x 3))) 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 x)) in x 0.759 * [taylor]: Taking taylor expansion of 0.5 in x 0.759 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.759 * [taylor]: Taking taylor expansion of -1 in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 0.759 * [taylor]: Taking taylor expansion of -0.125 in x 0.759 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.759 * [taylor]: Taking taylor expansion of 2 in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (- (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x)))) in x 0.760 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x))) in x 0.760 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) in x 0.760 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 x)) (* -0.125 (pow x 3))) 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 x)) in x 0.760 * [taylor]: Taking taylor expansion of 0.5 in x 0.760 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.760 * [taylor]: Taking taylor expansion of -1 in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 0.760 * [taylor]: Taking taylor expansion of -0.125 in x 0.760 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.760 * [taylor]: Taking taylor expansion of 2 in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.774 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.774 * [approximate]: Taking taylor expansion of (log (- (* 2 x) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) in (x) around 0 0.774 * [taylor]: Taking taylor expansion of (log (- (* 2 x) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) in x 0.774 * [taylor]: Taking taylor expansion of (- (* 2 x) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) in x 0.774 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.774 * [taylor]: Taking taylor expansion of 2 in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) in x 0.774 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (/ 0.125 (pow x 3))) 0.775 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.775 * [taylor]: Taking taylor expansion of 0.5 in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 0.775 * [taylor]: Taking taylor expansion of 0.125 in x 0.775 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (log (- (* 2 x) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) in x 0.777 * [taylor]: Taking taylor expansion of (- (* 2 x) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) in x 0.777 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.777 * [taylor]: Taking taylor expansion of 2 in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) in x 0.777 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (/ 0.125 (pow x 3))) 0.777 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of 0.5 in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 0.778 * [taylor]: Taking taylor expansion of 0.125 in x 0.778 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.837 * [approximate]: Taking taylor expansion of (log (- (* 2 (/ 1 x)) (fma 0.5 x (* 0.125 (pow x 3))))) in (x) around 0 0.837 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 x)) (fma 0.5 x (* 0.125 (pow x 3))))) in x 0.837 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x)) (fma 0.5 x (* 0.125 (pow x 3)))) in x 0.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.837 * [taylor]: Taking taylor expansion of 2 in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (fma 0.5 x (* 0.125 (pow x 3))) in x 0.837 * [taylor]: Rewrote expression to (+ (* 0.5 x) (* 0.125 (pow x 3))) 0.837 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.837 * [taylor]: Taking taylor expansion of 0.5 in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.837 * [taylor]: Taking taylor expansion of 0.125 in x 0.837 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 x)) (fma 0.5 x (* 0.125 (pow x 3))))) in x 0.838 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x)) (fma 0.5 x (* 0.125 (pow x 3)))) in x 0.838 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.838 * [taylor]: Taking taylor expansion of 2 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (fma 0.5 x (* 0.125 (pow x 3))) in x 0.839 * [taylor]: Rewrote expression to (+ (* 0.5 x) (* 0.125 (pow x 3))) 0.839 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.839 * [taylor]: Taking taylor expansion of 0.5 in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.839 * [taylor]: Taking taylor expansion of 0.125 in x 0.839 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.880 * [approximate]: Taking taylor expansion of (log (- (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x))))) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (log (- (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x))))) in x 0.881 * [taylor]: Taking taylor expansion of (- (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x)))) in x 0.881 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x))) in x 0.881 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) in x 0.881 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 x)) (* -0.125 (pow x 3))) 0.881 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 x)) in x 0.881 * [taylor]: Taking taylor expansion of 0.5 in x 0.881 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.881 * [taylor]: Taking taylor expansion of -1 in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 0.881 * [taylor]: Taking taylor expansion of -0.125 in x 0.881 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of 2 in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of (log (- (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x))))) in x 0.882 * [taylor]: Taking taylor expansion of (- (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x)))) in x 0.882 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) (* 2 (/ 1 x))) in x 0.882 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 x) (* -0.125 (pow x 3))) in x 0.883 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 x)) (* -0.125 (pow x 3))) 0.883 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 x)) in x 0.883 * [taylor]: Taking taylor expansion of 0.5 in x 0.883 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 0.883 * [taylor]: Taking taylor expansion of -0.125 in x 0.883 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of 2 in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.936 * * * [progress]: simplifying candidates 0.939 * [simplify]: Simplifying using # : (expm1 (/ 0.125 (pow x 3))) (log1p (/ 0.125 (pow x 3))) (- (log 0.125) (* (log x) 3)) (- (log 0.125) (* (log x) 3)) (- (log 0.125) (log (pow x 3))) (log (/ 0.125 (pow x 3))) (exp (/ 0.125 (pow x 3))) (/ (* (* 0.125 0.125) 0.125) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (/ 0.125 (pow x 3))) (cbrt (/ 0.125 (pow x 3)))) (cbrt (/ 0.125 (pow x 3))) (* (* (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3))) (/ 0.125 (pow x 3))) (sqrt (/ 0.125 (pow x 3))) (sqrt (/ 0.125 (pow x 3))) (- 0.125) (- (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (* (cbrt x) (cbrt x)) 3)) (/ (cbrt 0.125) (pow (cbrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (sqrt x) 3)) (/ (cbrt 0.125) (pow (sqrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow 1 3)) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (* x x)) (/ (cbrt 0.125) x) (/ (* (cbrt 0.125) (cbrt 0.125)) (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ (cbrt 0.125) (cbrt (pow x 3))) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (* (cbrt x) (cbrt x)) 3)) (/ (cbrt 0.125) (pow (cbrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (sqrt x) 3)) (/ (cbrt 0.125) (pow (sqrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow 1 3)) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) x) (/ (cbrt 0.125) (* x x)) (/ (* (cbrt 0.125) (cbrt 0.125)) (sqrt (pow x 3))) (/ (cbrt 0.125) (sqrt (pow x 3))) (/ (* (cbrt 0.125) (cbrt 0.125)) 1) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow x (/ 3 2))) (/ (cbrt 0.125) (pow x (/ 3 2))) (/ (sqrt 0.125) (pow (* (cbrt x) (cbrt x)) 3)) (/ (sqrt 0.125) (pow (cbrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow 1 3)) (/ (sqrt 0.125) (pow x 3)) (/ (sqrt 0.125) (* x x)) (/ (sqrt 0.125) x) (/ (sqrt 0.125) (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ (sqrt 0.125) (cbrt (pow x 3))) (/ (sqrt 0.125) (pow (* (cbrt x) (cbrt x)) 3)) (/ (sqrt 0.125) (pow (cbrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow 1 3)) (/ (sqrt 0.125) (pow x 3)) (/ (sqrt 0.125) x) (/ (sqrt 0.125) (* x x)) (/ (sqrt 0.125) (sqrt (pow x 3))) (/ (sqrt 0.125) (sqrt (pow x 3))) (/ (sqrt 0.125) 1) (/ (sqrt 0.125) (pow x 3)) (/ (sqrt 0.125) (pow x (/ 3 2))) (/ (sqrt 0.125) (pow x (/ 3 2))) (/ 1 (pow (* (cbrt x) (cbrt x)) 3)) (/ 0.125 (pow (cbrt x) 3)) (/ 1 (pow (sqrt x) 3)) (/ 0.125 (pow (sqrt x) 3)) (/ 1 (pow 1 3)) (/ 0.125 (pow x 3)) (/ 1 (* x x)) (/ 0.125 x) (/ 1 (* (cbrt 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(/ 1 x) (/ 0.125 (pow x 3)))) (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (* (* (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (sqrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (sqrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (expm1 (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log1p (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (* (exp x) (/ (exp x) (exp (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (* (exp x) (exp (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (exp (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (* (cbrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (cbrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (cbrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (* (* (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (sqrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (sqrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (+ (pow x 3) (pow (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) 3)) (+ (* x x) (- (* (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (* x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (- (* x x) (* (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (- x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (+ x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (* (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))))) (+ x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (sqrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))))) (+ x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) 1)))) (+ x (fma (sqrt x) (sqrt x) (- (* (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (* (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))))) (+ x (fma (sqrt x) (sqrt x) (- (* (sqrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (sqrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))))) (+ x (fma (sqrt x) (sqrt x) (- (* (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) 1)))) (+ x (fma 1 x (- (* (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (* (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (cbrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))))) (+ x (fma 1 x (- (* (sqrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (sqrt (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))))) (+ x (fma 1 x (- (* (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) 1)))) (+ x x) (+ x x) (+ x x) (expm1 (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log1p (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log (* (cbrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (cbrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))))) (log (cbrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log (sqrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log (sqrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log 1) (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log 1) (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log 1) (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log (+ (pow x 3) (pow (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) 3))) (log (+ (* x x) (- (* (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (* x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))))) (log (- (* x x) (* (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log (- x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (exp (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (* (cbrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (cbrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))))) (cbrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (* (* (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (sqrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (sqrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 4.0 (pow x 2)) (log (- 0.125))) (+ (* 0.125 (/ (pow x 4) (pow -0.125 2))) (+ (* 16.0 (pow x 4)) (* 3 (log x))))) (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2)))))) (- (log -2) (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.09375 (/ 1 (pow x 4))) (log (/ -1 x))))) 0.946 * * [simplify]: iteration 0 : 447 enodes (cost 911 ) 0.955 * * [simplify]: iteration 1 : 2048 enodes (cost 786 ) 0.991 * * [simplify]: iteration 2 : 5002 enodes (cost 785 ) 0.995 * [simplify]: Simplified to: (expm1 (/ 0.125 (pow x 3))) (log1p (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (exp (/ 0.125 (pow x 3))) (pow (/ 0.125 (pow x 3)) 3) (* (cbrt (/ 0.125 (pow x 3))) (cbrt (/ 0.125 (pow x 3)))) (cbrt (/ 0.125 (pow x 3))) (pow (/ 0.125 (pow x 3)) 3) (sqrt (/ 0.125 (pow x 3))) (sqrt (/ 0.125 (pow x 3))) (- 0.125) (- (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (* x x)) (/ (cbrt 0.125) x) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (sqrt x) 3)) (/ (cbrt 0.125) (pow (sqrt x) 3)) (* (cbrt 0.125) (cbrt 0.125)) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 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3))))))) (log1p (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (* 2 (log (cbrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))))) (log (cbrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log (sqrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log (sqrt (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) 0 (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) 0 (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) 0 (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log (+ (pow x 3) (pow (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) 3))) (log (+ (* x x) (- (* (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (* x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))))) (log (- (* x x) (* (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (log (- x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) (log (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (* (cbrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (cbrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))))) (cbrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (pow (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))))) 3) (sqrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (sqrt (log (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))))) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (+ x (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))))) (fma (pow x 2) 4.0 (- (log (- 0.125)) (fma 0.125 (/ (pow x 4) (pow -0.125 2)) (fma 16.0 (pow x 4) (* 3 (log x)))))) (- (- (log 2) (log (/ 1 x))) (fma 0.09375 (/ 1 (pow x 4)) (* 0.25 (/ 1 (pow x 2))))) (- (- (log -2) (* 0.25 (/ 1 (pow x 2)))) (fma 0.09375 (/ 1 (pow x 4)) (log (/ -1 x)))) 0.996 * * * [progress]: adding candidates to table 1.273 * * [progress]: iteration 3 / 4 1.273 * * * [progress]: picking best candidate 1.275 * * * * [pick]: Picked # 1.275 * * * [progress]: localizing error 1.284 * * * [progress]: generating rewritten candidates 1.284 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 1.290 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 1.295 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.301 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.308 * * * [progress]: generating series expansions 1.308 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 1.309 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 1.309 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.309 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.311 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.329 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.331 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.347 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.347 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.350 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.350 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.362 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 1.362 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 1.362 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.362 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.364 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.381 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.381 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 1.384 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.384 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.396 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.398 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.398 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.410 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 1.410 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 1.410 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.410 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 1.417 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.417 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.428 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 1.428 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.428 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.431 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.433 * [taylor]: Taking taylor expansion of x in x 1.447 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 1.447 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 1.447 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.447 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.450 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 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 1.450 * [taylor]: Taking taylor expansion of 1.0 in x 1.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.477 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.477 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 1.477 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 1.477 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.477 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 1.479 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.479 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.490 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 1.490 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 1.490 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.498 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.514 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 1.514 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.514 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 1.517 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.517 * [taylor]: Taking taylor expansion of x in x 1.517 * [taylor]: Taking taylor expansion of 1.0 in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.545 * * * [progress]: simplifying candidates 1.546 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 1.550 * * [simplify]: iteration 0 : 235 enodes (cost 478 ) 1.555 * * [simplify]: iteration 1 : 739 enodes (cost 446 ) 1.567 * * [simplify]: iteration 2 : 2858 enodes (cost 436 ) 1.622 * * [simplify]: iteration 3 : 5001 enodes (cost 432 ) 1.625 * [simplify]: Simplified to: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 1 (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 1 (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (fma x (- x (sqrt (- (* x x) 1.0))) (- (* x x) 1.0)) (+ 1.0 0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (fma x (- x (sqrt (- (* x x) 1.0))) (- (* x x) 1.0)) (+ 1.0 0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 x) (- (* 0.125 (/ 1 (pow x 3))) x)) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 x) (- (* 0.125 (/ 1 (pow x 3))) x)) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.125 (/ 1 (pow x 3)) (fma 0.0625 (/ 1 (pow x 5)) (* 0.5 (/ 1 x)))) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.125 (/ 1 (pow x 3)) (fma 0.0625 (/ 1 (pow x 5)) (* 0.5 (/ 1 x)))) 1.625 * * * [progress]: adding candidates to table 1.901 * [progress]: [Phase 3 of 3] Extracting. 1.901 * * [regime]: Finding splitpoints for: (# #) 1.901 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (sqrt (- (* x x) 1.0))) x) 1.901 * * * * [regimes]: Trying to branch on (+ x (sqrt (- (* x x) 1.0))) from (# #) 1.914 * * * * [regimes]: Trying to branch on x from (# #) 1.929 * * * [regime]: Found split indices: #