24.950 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.019 * [simplify]: Simplified to: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.033 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.039 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.044 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.045 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.045 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.049 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.111 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.120 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.120 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.157 * [taylor]: Taking taylor expansion of -1 in x 0.157 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.185 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.185 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.187 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.187 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.214 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.226 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.226 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.228 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.249 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.249 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.259 * * * [progress]: simplifying candidates 0.260 * [simplify]: Simplifying using # : (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* x x) x) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x 1) (/ x 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.265 * * [simplify]: iteration 0 : 334 enodes (cost 508 ) 0.271 * * [simplify]: iteration 1 : 1222 enodes (cost 457 ) 0.294 * * [simplify]: iteration 2 : 5002 enodes (cost 445 ) 0.297 * [simplify]: Simplified to: (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (pow (+ 1.0 (sqrt (+ x 1.0))) 3) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (fma 1.0 1.0 (+ x (- 1.0 (* 1.0 (sqrt (+ x 1.0)))))) (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (fma (- 1/2) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (+ (sqrt 1.0) (- (fma 1/2 (/ x (sqrt 1.0)) 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.297 * * * [progress]: adding candidates to table 0.447 * * [progress]: iteration 2 / 4 0.447 * * * [progress]: picking best candidate 0.456 * * * * [pick]: Picked # 0.456 * * * [progress]: localizing error 0.463 * * * [progress]: generating rewritten candidates 0.463 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.474 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.482 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.488 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.498 * * * [progress]: generating series expansions 0.498 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.501 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.501 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.505 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.564 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.573 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.573 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.602 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.602 * [taylor]: Taking taylor expansion of -1 in x 0.602 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.611 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.639 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in (x) around 0 0.639 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in x 0.639 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.639 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.639 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in x 0.643 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.643 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.644 * [taylor]: Taking taylor expansion of 1.0 in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.670 * [approximate]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.670 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.672 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.694 * [taylor]: Taking taylor expansion of -1 in x 0.694 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.694 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.696 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.696 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.724 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.724 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.724 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.725 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.741 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.741 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.743 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.743 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.756 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.756 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.758 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.768 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.768 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.768 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.768 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.770 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.779 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.781 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.781 * [taylor]: Taking taylor expansion of 1.0 in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.788 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.788 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.788 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.798 * * * [progress]: simplifying candidates 0.801 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log1p (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (- (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 0 (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- 0 (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- (log 1) (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- (log 1) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (exp (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (* 1 1) 1) (/ (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (* (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (* (* (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (- (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ (cbrt 1) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (cbrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ (sqrt 1) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ (sqrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ 1 (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ 1 (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 1) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (/ 1 x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (/ (+ 1.0 (sqrt (+ x 1.0))) x) 1) (/ 1 (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (/ (+ 1.0 (sqrt (+ x 1.0))) x) (cbrt 1)) (/ (/ (+ 1.0 (sqrt (+ x 1.0))) x) (sqrt 1)) (/ (/ (+ 1.0 (sqrt (+ x 1.0))) x) 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (expm1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (log1p (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x)) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (exp (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (* (* x x) x)) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (* (* (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (- (+ 1.0 (sqrt (+ x 1.0)))) (- x) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x)) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 x) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (* x (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (* x (- 1.0 (sqrt (+ x 1.0)))) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (/ (sqrt 1.0) x) (+ (* 1/2 (/ 1 (sqrt 1.0))) (* 1.0 (/ 1 x)))) (* 1/8 (/ x (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.810 * * [simplify]: iteration 0 : 615 enodes (cost 1449 ) 0.821 * * [simplify]: iteration 1 : 2708 enodes (cost 1291 ) 0.861 * * [simplify]: iteration 2 : 5001 enodes (cost 1197 ) 0.867 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log1p (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (log (/ 1 (/ 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1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (fma (- 1/2) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (+ (fma 1.0 (/ 1 x) (/ 1/2 (sqrt 1.0))) (- (/ (sqrt 1.0) x) (* 1/8 (/ x (pow (sqrt 1.0) 3))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (+ (sqrt 1.0) (- (fma 1/2 (/ x (sqrt 1.0)) 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 0.868 * * * [progress]: adding candidates to table 1.112 * * [progress]: iteration 3 / 4 1.112 * * * [progress]: picking best candidate 1.118 * * * * [pick]: Picked # 1.118 * * * [progress]: localizing error 1.125 * * * [progress]: generating rewritten candidates 1.125 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.144 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.152 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.158 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.187 * * * [progress]: generating series expansions 1.188 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.188 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.188 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.188 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.188 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of 1.0 in x 1.191 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.192 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.192 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.193 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.256 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.256 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.256 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.265 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.265 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.265 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.266 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.291 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.291 * [taylor]: Taking taylor expansion of -1 in x 1.291 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.291 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.299 * [taylor]: Taking taylor expansion of -1 in x 1.299 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.299 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.334 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 1.334 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.334 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.334 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 1.337 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.337 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.337 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.394 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.394 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.394 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.394 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.397 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.397 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.419 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.419 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.422 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.422 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of 1.0 in x 1.438 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.438 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 1.438 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.438 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.438 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.440 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.440 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 1.455 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.455 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.455 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.456 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.466 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 1.466 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.466 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.468 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.470 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 1.479 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.479 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.479 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.480 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.481 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 1.496 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.496 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.497 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.497 * [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 1.505 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.505 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.505 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.505 * [taylor]: Taking taylor expansion of 1.0 in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.506 * [taylor]: Taking taylor expansion of 1.0 in x 1.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.514 * * * [progress]: simplifying candidates 1.522 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (log1p (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (- (- (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x))) (- (- (log (+ 1.0 (sqrt (+ x 1.0))))) (- 0 (log x))) (- (- (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log 1) (log x))) (- (- (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 x))) (- (- 0 (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x))) (- (- 0 (log (+ 1.0 (sqrt (+ x 1.0))))) (- 0 (log x))) (- (- 0 (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log 1) (log x))) (- (- 0 (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 x))) (- (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x))) (- (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0))))) (- 0 (log x))) (- (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log 1) (log x))) (- (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 x))) (- (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- (log x))) (- (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 0 (log x))) (- (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- (log 1) (log x))) (- (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 x))) (log (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (exp (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (/ (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* 1 1) 1) (* (* x x) x))) (/ (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (/ (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* 1 1) 1) (* (* x x) x))) (/ (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (cbrt (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x)))) (cbrt (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (* (* (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x)) (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (sqrt (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (sqrt (/ (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 x))) (- (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- (/ 1 x)) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 x))) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (/ 1 x))) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 x))) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt 1) (cbrt x))) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt 1) (sqrt x))) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt 1) x)) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (cbrt x))) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (sqrt x))) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt x))) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) x)) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (cbrt x))) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt x))) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt x))) (/ (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 1)) (/ (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 x)) (/ (* (cbrt (/ 1 (+ 1.0 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(sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 (* (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0)))) x)) (/ (/ 1 x) (- 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (expm1 (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt 1)) (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (pow (+ 1.0 (sqrt (+ x 1.0))) 3) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0)))) (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (+ (/ x (+ (sqrt 1.0) 1.0)) (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (+ (- +nan.0) (fma +nan.0 x (- (* +nan.0 (/ 1 x))))) (+ (- +nan.0) (fma +nan.0 x (- (* +nan.0 (/ 1 x))))) (+ (+ (/ 1 (+ (sqrt 1.0) 1.0)) (* 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (* (/ 1/4 1.0) (/ (pow x 2) (pow (+ (sqrt 1.0) 1.0) 3))) (* 1/2 (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (+ (- (* +nan.0 (/ 1 (pow x 2)))) (fma +nan.0 (/ 1 x) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow x 2)))) (fma +nan.0 (/ 1 x) (- +nan.0))) (+ (sqrt 1.0) (- (fma 1/2 (/ x (sqrt 1.0)) 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (- (* +nan.0 (/ 1 (pow x 2)))) (fma +nan.0 (/ 1 x) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow x 2)))) (fma +nan.0 (/ 1 x) (- +nan.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (- (* +nan.0 (/ 1 (pow x 2)))) (fma +nan.0 (/ 1 x) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow x 2)))) (fma +nan.0 (/ 1 x) (- +nan.0))) 1.590 * * * [progress]: adding candidates to table 2.269 * * [progress]: iteration 4 / 4 2.269 * * * [progress]: picking best candidate 2.273 * * * * [pick]: Picked # 2.273 * * * [progress]: localizing error 2.288 * * * [progress]: generating rewritten candidates 2.288 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.324 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 2.330 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.350 * * * [progress]: generating series expansions 2.350 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.351 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (pow (+ x 1.0) 3)) 1.0)) in (x) around 0 2.351 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (pow (+ x 1.0) 3)) 1.0)) in x 2.351 * [taylor]: Taking taylor expansion of x in x 2.351 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (+ x 1.0) 3)) 1.0) in x 2.351 * [taylor]: Taking taylor expansion of (sqrt (pow (+ x 1.0) 3)) in x 2.351 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 3) in x 2.351 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.351 * [taylor]: Taking taylor expansion of x in x 2.351 * [taylor]: Taking taylor expansion of 1.0 in x 2.356 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (pow (+ x 1.0) 3)) 1.0)) in x 2.357 * [taylor]: Taking taylor expansion of x in x 2.357 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (+ x 1.0) 3)) 1.0) in x 2.357 * [taylor]: Taking taylor expansion of (sqrt (pow (+ x 1.0) 3)) in x 2.357 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 3) in x 2.357 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.358 * [taylor]: Taking taylor expansion of 1.0 in x 2.362 * [taylor]: Taking taylor expansion of 1.0 in x 2.442 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0))) in (x) around 0 2.442 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0))) in x 2.442 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0)) in x 2.442 * [taylor]: Taking taylor expansion of x in x 2.442 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0) in x 2.442 * [taylor]: Taking taylor expansion of (sqrt (pow (+ 1.0 (/ 1 x)) 3)) in x 2.442 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 3) in x 2.442 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.442 * [taylor]: Taking taylor expansion of 1.0 in x 2.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.442 * [taylor]: Taking taylor expansion of x in x 2.444 * [taylor]: Taking taylor expansion of 1.0 in x 2.452 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0))) in x 2.453 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0)) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (+ 1.0 (/ 1 x)) 3)) 1.0) in x 2.453 * [taylor]: Taking taylor expansion of (sqrt (pow (+ 1.0 (/ 1 x)) 3)) in x 2.453 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 3) in x 2.453 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.453 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.455 * [taylor]: Taking taylor expansion of 1.0 in x 2.491 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0))) in (x) around 0 2.491 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0))) in x 2.491 * [taylor]: Taking taylor expansion of -1 in x 2.491 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0)) in x 2.491 * [taylor]: Taking taylor expansion of x in x 2.491 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0) in x 2.491 * [taylor]: Taking taylor expansion of (sqrt (pow (- 1.0 (/ 1 x)) 3)) in x 2.491 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 3) in x 2.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.494 * [taylor]: Taking taylor expansion of 1.0 in x 2.502 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0))) in x 2.502 * [taylor]: Taking taylor expansion of -1 in x 2.502 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0)) in x 2.502 * [taylor]: Taking taylor expansion of x in x 2.502 * [taylor]: Taking taylor expansion of (+ (sqrt (pow (- 1.0 (/ 1 x)) 3)) 1.0) in x 2.502 * [taylor]: Taking taylor expansion of (sqrt (pow (- 1.0 (/ 1 x)) 3)) in x 2.503 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 3) in x 2.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.503 * [taylor]: Taking taylor expansion of 1.0 in x 2.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.503 * [taylor]: Taking taylor expansion of x in x 2.505 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.540 * [approximate]: Taking taylor expansion of (- (+ x 1.0) (* 1.0 (sqrt (+ x 1.0)))) in (x) around 0 2.540 * [taylor]: Taking taylor expansion of (- (+ x 1.0) (* 1.0 (sqrt (+ x 1.0)))) in x 2.540 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (+ x 1.0))) in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.540 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.542 * [taylor]: Taking taylor expansion of (- (+ x 1.0) (* 1.0 (sqrt (+ x 1.0)))) in x 2.542 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.542 * [taylor]: Taking taylor expansion of x in x 2.542 * [taylor]: Taking taylor expansion of 1.0 in x 2.542 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (+ x 1.0))) in x 2.542 * [taylor]: Taking taylor expansion of 1.0 in x 2.542 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.542 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.542 * [taylor]: Taking taylor expansion of x in x 2.542 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) 1.0) (* 1.0 (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.575 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0) (* 1.0 (sqrt (+ 1.0 (/ 1 x))))) in x 2.575 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 2.575 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.575 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.575 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.577 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0) (* 1.0 (sqrt (+ 1.0 (/ 1 x))))) in x 2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.577 * [taylor]: Taking taylor expansion of x in x 2.577 * [taylor]: Taking taylor expansion of 1.0 in x 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 2.577 * [taylor]: Taking taylor expansion of 1.0 in x 2.577 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.577 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.577 * [taylor]: Taking taylor expansion of 1.0 in x 2.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.578 * [taylor]: Taking taylor expansion of x in x 2.589 * [approximate]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x))) in (x) around 0 2.589 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x))) in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x)) in x 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.591 * [taylor]: Taking taylor expansion of (- 1.0 (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x))) in x 2.591 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (- 1.0 (/ 1 x)))) (/ 1 x)) in x 2.591 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 2.591 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.591 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.604 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 2.604 * [approximate]: Taking taylor expansion of (pow (sqrt (+ x 1.0)) 3) in (x) around 0 2.604 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x 1.0)) 3) in x 2.604 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.604 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.604 * [taylor]: Taking taylor expansion of x in x 2.604 * [taylor]: Taking taylor expansion of 1.0 in x 2.606 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x 1.0)) 3) in x 2.606 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.606 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.606 * [taylor]: Taking taylor expansion of x in x 2.606 * [taylor]: Taking taylor expansion of 1.0 in x 2.635 * [approximate]: Taking taylor expansion of (pow (sqrt (+ 1.0 (/ 1 x))) 3) in (x) around 0 2.635 * [taylor]: Taking taylor expansion of (pow (sqrt (+ 1.0 (/ 1 x))) 3) in x 2.635 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.636 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.636 * [taylor]: Taking taylor expansion of 1.0 in x 2.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of (pow (sqrt (+ 1.0 (/ 1 x))) 3) in x 2.637 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.637 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.654 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 x))) 3) in (x) around 0 2.654 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 x))) 3) in x 2.654 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.654 * [taylor]: Taking taylor expansion of 1.0 in x 2.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.654 * [taylor]: Taking taylor expansion of x in x 2.656 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 x))) 3) in x 2.656 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.656 * [taylor]: Taking taylor expansion of 1.0 in x 2.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.656 * [taylor]: Taking taylor expansion of x in x 2.670 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.671 * [approximate]: Taking taylor expansion of (+ x 1.0) in (x) around 0 2.671 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.671 * [taylor]: Taking taylor expansion of x in x 2.671 * [taylor]: Taking taylor expansion of 1.0 in x 2.671 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.671 * [taylor]: Taking taylor expansion of x in x 2.671 * [taylor]: Taking taylor expansion of 1.0 in x 2.673 * [approximate]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in (x) around 0 2.673 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.673 * [taylor]: Taking taylor expansion of 1.0 in x 2.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.673 * [taylor]: Taking taylor expansion of x in x 2.673 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.673 * [taylor]: Taking taylor expansion of 1.0 in x 2.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.674 * [taylor]: Taking taylor expansion of x in x 2.679 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 x)) in (x) around 0 2.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.680 * [taylor]: Taking taylor expansion of 1.0 in x 2.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.687 * * * [progress]: simplifying candidates 2.690 * [simplify]: Simplifying using # : (expm1 (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (log1p (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (- (log x) (log (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (log (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (exp (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (* (* x x) x) (* (* (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* (cbrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (cbrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))) (cbrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* (* (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (sqrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (sqrt (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (- x) (- (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))) (/ (cbrt x) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (cbrt x) (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (* (cbrt x) (cbrt x)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (pow 1 3)) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (pow 1 3)) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (pow 1 3)) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) (pow 1 3)) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ (sqrt x) (* (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))) (/ (sqrt x) (cbrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (sqrt x) (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (sqrt x) (sqrt (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ (sqrt x) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt 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(pow x 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1.5 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ 1.0 (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) x)) (+ (* 1.0 (sqrt 1.0)) (* 0.5 (/ x (sqrt 1.0))))) (- x (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- x (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (+ (* 3/2 (* x (sqrt 1.0))) (+ (pow (sqrt 1.0) 3) (* 3/8 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ x 1.0) (+ x 1.0) (+ x 1.0) 2.702 * * [simplify]: iteration 0 : 825 enodes (cost 1791 ) 2.721 * * [simplify]: iteration 1 : 4130 enodes (cost 1518 ) 2.815 * * [simplify]: iteration 2 : 5001 enodes (cost 1510 ) 2.823 * [simplify]: Simplified to: (expm1 (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (log1p (/ x 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(* 1.0 1.0)))) (+ (+ (/ x (+ (sqrt 1.0) 1.0)) (* 1.125 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (* (/ 2.25 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (fma 1.5 (/ (pow x 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (* 1.5 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ 1.0 (- (fma 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)) x) (fma 1.0 (sqrt 1.0) (* 0.5 (/ x (sqrt 1.0)))))) (- (- x +nan.0) (/ (- +nan.0) x)) (- (- x +nan.0) (/ (- +nan.0) x)) (fma (* 3/2 x) (sqrt 1.0) (fma 3/8 (/ (pow x 2) (sqrt 1.0)) (pow (sqrt 1.0) 3))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ x 1.0) (+ x 1.0) (+ x 1.0) 2.824 * * * [progress]: adding candidates to table 3.254 * [progress]: [Phase 3 of 3] Extracting. 3.254 * * [regime]: Finding splitpoints for: (# # # #) 3.255 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.255 * * * * [regimes]: Trying to branch on x from (# # # #) 3.269 * * * [regime]: Found split indices: #