42.104 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.008 * * * [progress]: [2/2] Setting up program. 0.009 * [progress]: [Phase 2 of 3] Improving. 0.009 * [simplify]: Simplifying using # : (/ x (- 1.0 x)) 0.011 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.012 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.013 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.014 * [simplify]: Simplified to: (/ x (- 1.0 x)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.017 * * * [progress]: generating rewritten candidates 0.017 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.024 * * * [progress]: generating series expansions 0.024 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.024 * [approximate]: Taking taylor expansion of (/ x (- 1.0 x)) in (x) around 0 0.024 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.024 * [taylor]: Taking taylor expansion of 1.0 in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.025 * [taylor]: Taking taylor expansion of 1.0 in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.031 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 0.031 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.031 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.031 * [taylor]: Taking taylor expansion of 1.0 in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.033 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.033 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.047 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.047 * [taylor]: Taking taylor expansion of -1 in x 0.047 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.049 * [taylor]: Taking taylor expansion of -1 in x 0.049 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.059 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (expm1 (/ x (- 1.0 x))) (log1p (/ x (- 1.0 x))) (- (log x) (log (- 1.0 x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (/ (* (* x x) x) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (* (* (/ x (- 1.0 x)) (/ x (- 1.0 x))) (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (- x) (- (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt x) (cbrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x))) (/ (cbrt x) (sqrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt x) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt x) (cbrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 x)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))) (/ 1 1) (/ x (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ x (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ x (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) x) (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) (/ x 1) (/ x (+ (sqrt 1.0) (sqrt x))) (/ x 1) (/ (- 1.0 x) (cbrt x)) (/ (- 1.0 x) (sqrt x)) (/ (- 1.0 x) x) (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 3)) (* 1.0 x))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) 0.064 * * [simplify]: iteration 0 : 175 enodes (cost 214 ) 0.067 * * [simplify]: iteration 1 : 591 enodes (cost 201 ) 0.078 * * [simplify]: iteration 2 : 2753 enodes (cost 200 ) 0.155 * * [simplify]: iteration 3 : 5001 enodes (cost 200 ) 0.157 * [simplify]: Simplified to: (expm1 (/ x (- 1.0 x))) (log1p (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (- x) (- (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt x) (cbrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x))) (/ (cbrt x) (sqrt (- 1.0 x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt x) (- (sqrt 1.0) (sqrt x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt x) (cbrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (sqrt x) (/ (sqrt x) (- 1.0 x)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (sqrt x) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))) 1 (/ x (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ x (- (sqrt 1.0) (sqrt x))) 1 (/ x (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) x) (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) x (/ x (+ (sqrt 1.0) (sqrt x))) x (/ (- 1.0 x) (cbrt x)) (/ (- 1.0 x) (sqrt x)) (/ (- 1.0 x) x) (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (* 1.0 (fma x x (+ (pow x 3) x))) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) 0.157 * * * [progress]: adding candidates to table 0.208 * * [progress]: iteration 2 / 4 0.208 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.226 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.232 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.242 * * * [progress]: generating series expansions 0.242 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.242 * [approximate]: Taking taylor expansion of (/ x (- 1.0 x)) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.249 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.249 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) 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 0.249 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.252 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.263 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in (x) around 0 0.263 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.263 * [taylor]: Taking taylor expansion of -1 in x 0.263 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.265 * [taylor]: Taking taylor expansion of -1 in x 0.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.276 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.276 * [approximate]: Taking taylor expansion of (/ x (- 1.0 x)) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.286 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.286 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.288 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.300 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.300 * [taylor]: Taking taylor expansion of -1 in x 0.300 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.302 * [taylor]: Taking taylor expansion of -1 in x 0.302 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.312 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.313 * [approximate]: Taking taylor expansion of (exp (/ x (- 1.0 x))) in (x) around 0 0.313 * [taylor]: Taking taylor expansion of (exp (/ x (- 1.0 x))) in x 0.313 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (exp (/ x (- 1.0 x))) in x 0.313 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.322 * [approximate]: Taking taylor expansion of (exp (/ 1 (* (- 1.0 (/ 1 x)) x))) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (exp (/ 1 (* (- 1.0 (/ 1 x)) x))) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.322 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (exp (/ 1 (* (- 1.0 (/ 1 x)) x))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.325 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.346 * [approximate]: Taking taylor expansion of (exp (/ -1 (* (+ (/ 1 x) 1.0) x))) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (exp (/ -1 (* (+ (/ 1 x) 1.0) x))) in x 0.346 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.346 * [taylor]: Taking taylor expansion of -1 in x 0.346 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (exp (/ -1 (* (+ (/ 1 x) 1.0) x))) in x 0.348 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.348 * [taylor]: Taking taylor expansion of -1 in x 0.348 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.371 * * * [progress]: simplifying candidates 0.372 * [simplify]: Simplifying using # : (expm1 (log (exp (/ x (- 1.0 x))))) (log1p (log (exp (/ x (- 1.0 x))))) (log (* (cbrt (exp (/ x (- 1.0 x)))) (cbrt (exp (/ x (- 1.0 x)))))) (log (cbrt (exp (/ x (- 1.0 x))))) (log (sqrt (exp (/ x (- 1.0 x))))) (log (sqrt (exp (/ x (- 1.0 x))))) (log 1) (log (exp (/ x (- 1.0 x)))) (log (exp (/ x (- 1.0 x)))) (log (exp (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))))) (log (exp (sqrt (/ x (- 1.0 x))))) (log (exp (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))) (log (exp (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x))))) (log (exp (/ (* (cbrt x) (cbrt x)) 1))) (log (exp (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x))))) (log (exp (/ (* (cbrt x) (cbrt x)) 1))) (log (exp (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))) (log (exp (/ (sqrt x) (sqrt (- 1.0 x))))) (log (exp (/ (sqrt x) 1))) (log (exp (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))))) (log (exp (/ (sqrt x) 1))) (log (exp (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))) (log (exp (/ 1 (sqrt (- 1.0 x))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt 1.0) (sqrt x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp x)) (log (exp (/ x (- (pow 1.0 3) (pow x 3))))) (log (exp (/ x (- (* 1.0 1.0) (* x x))))) (log (log (exp (/ x (- 1.0 x))))) (exp (log (exp (/ x (- 1.0 x))))) (* (cbrt (log (exp (/ x (- 1.0 x))))) (cbrt (log (exp (/ x (- 1.0 x)))))) (cbrt (log (exp (/ x (- 1.0 x))))) (* (* (log (exp (/ x (- 1.0 x)))) (log (exp (/ x (- 1.0 x))))) (log (exp (/ x (- 1.0 x))))) (sqrt (log (exp (/ x (- 1.0 x))))) (sqrt (log (exp (/ x (- 1.0 x))))) (expm1 (/ x (- 1.0 x))) (log1p (/ x (- 1.0 x))) (- (log x) (log (- 1.0 x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (/ (* (* x x) x) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (* (* (/ x (- 1.0 x)) (/ x (- 1.0 x))) (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (- x) (- (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt x) (cbrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x))) (/ (cbrt x) (sqrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt x) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt x) (cbrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 x)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))) (/ 1 1) (/ x (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ x (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ x (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) x) (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) (/ x 1) (/ x (+ (sqrt 1.0) (sqrt x))) (/ x 1) (/ (- 1.0 x) (cbrt x)) (/ (- 1.0 x) (sqrt x)) (/ (- 1.0 x) x) (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (expm1 (exp (/ x (- 1.0 x)))) (log1p (exp (/ x (- 1.0 x)))) (exp (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x))))) (exp (sqrt (/ x (- 1.0 x)))) (exp (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (exp (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x)))) (exp (/ (* (cbrt x) (cbrt x)) 1)) (exp (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x)))) (exp (/ (* (cbrt x) (cbrt x)) 1)) (exp (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (exp (/ (sqrt x) (sqrt (- 1.0 x)))) (exp (/ (sqrt x) 1)) (exp (/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))) (exp (/ (sqrt x) 1)) (exp (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (exp (/ 1 (sqrt (- 1.0 x)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt 1.0) (sqrt x)))) (exp (/ 1 1)) (exp 1) (exp x) (exp (/ x (- (pow 1.0 3) (pow x 3)))) (exp (/ x (- (* 1.0 1.0) (* x x)))) (log (exp (/ x (- 1.0 x)))) (exp (exp (/ x (- 1.0 x)))) (* (cbrt (exp (/ x (- 1.0 x)))) (cbrt (exp (/ x (- 1.0 x))))) (cbrt (exp (/ x (- 1.0 x)))) (* (* (exp (/ x (- 1.0 x))) (exp (/ x (- 1.0 x)))) (exp (/ x (- 1.0 x)))) (sqrt (exp (/ x (- 1.0 x)))) (sqrt (exp (/ x (- 1.0 x)))) (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 3)) (* 1.0 x))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 3)) (* 1.0 x))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (+ (* 1.5 (pow x 2)) (+ (* 1.0 x) 1)) (- (exp -1) (+ (* 1.0 (/ (exp -1) x)) (* 0.5 (/ (exp -1) (pow x 2))))) (- (exp -1) (+ (* 1.0 (/ (exp -1) x)) (* 0.5 (/ (exp -1) (pow x 2))))) 0.378 * * [simplify]: iteration 0 : 273 enodes (cost 545 ) 0.382 * * [simplify]: iteration 1 : 775 enodes (cost 510 ) 0.395 * * [simplify]: iteration 2 : 3243 enodes (cost 506 ) 0.492 * * [simplify]: iteration 3 : 5002 enodes (cost 506 ) 0.495 * [simplify]: Simplified to: (expm1 (/ x (- 1.0 x))) (log1p (/ x (- 1.0 x))) (* 2 (log (cbrt (exp (/ x (- 1.0 x)))))) (log (cbrt (exp (/ x (- 1.0 x))))) (log (sqrt (exp (/ x (- 1.0 x))))) (log (sqrt (exp (/ x (- 1.0 x))))) 0 (/ x (- 1.0 x)) (/ x (- 1.0 x)) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (sqrt (/ x (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x))) (* (cbrt x) (cbrt x)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x))) (* (cbrt x) (cbrt x)) (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt x) (sqrt (- 1.0 x))) (sqrt x) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (sqrt x) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ 1 (sqrt (- 1.0 x))) 1 (/ 1 (+ (sqrt 1.0) (sqrt x))) 1 1 x (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (expm1 (/ x (- 1.0 x))) (log1p (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (- x) (- (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt x) (cbrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x))) (/ (cbrt x) (sqrt (- 1.0 x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt x) (- (sqrt 1.0) (sqrt x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt x) (cbrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (sqrt x) (/ (sqrt x) (- 1.0 x)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (sqrt x) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))) 1 (/ x (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ x (- (sqrt 1.0) (sqrt x))) 1 (/ x (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) x) (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) x (/ x (+ (sqrt 1.0) (sqrt x))) x (/ (- 1.0 x) (cbrt x)) (/ (- 1.0 x) (sqrt x)) (/ (- 1.0 x) x) (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (expm1 (exp (/ x (- 1.0 x)))) (log1p (exp (/ x (- 1.0 x)))) (exp (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x))))) (exp (sqrt (/ x (- 1.0 x)))) (exp (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (exp (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x)))) (pow (exp (cbrt x)) (cbrt x)) (exp (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x)))) (pow (exp (cbrt x)) (cbrt x)) (exp (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (exp (/ (sqrt x) (sqrt (- 1.0 x)))) (exp (sqrt x)) (exp (/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))) (exp (sqrt x)) (exp (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (exp (/ 1 (sqrt (- 1.0 x)))) E (exp (/ 1 (+ (sqrt 1.0) (sqrt x)))) E E (exp x) (exp (/ x (- (pow 1.0 3) (pow x 3)))) (exp (/ x (- (* 1.0 1.0) (* x x)))) (/ x (- 1.0 x)) (exp (exp (/ x (- 1.0 x)))) (* (cbrt (exp (/ x (- 1.0 x)))) (cbrt (exp (/ x (- 1.0 x))))) (cbrt (exp (/ x (- 1.0 x)))) (pow (exp (/ x (- 1.0 x))) 3) (sqrt (exp (/ x (- 1.0 x)))) (sqrt (exp (/ x (- 1.0 x)))) (* 1.0 (fma x x (+ (pow x 3) x))) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) (* 1.0 (fma x x (+ (pow x 3) x))) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) (fma 1.5 (pow x 2) (fma 1.0 x 1)) (- (exp -1) (+ (* 1.0 (/ (exp -1) x)) (* 0.5 (/ (exp -1) (pow x 2))))) (- (exp -1) (+ (* 1.0 (/ (exp -1) x)) (* 0.5 (/ (exp -1) (pow x 2))))) 0.496 * * * [progress]: adding candidates to table 0.666 * * [progress]: iteration 3 / 4 0.666 * * * [progress]: picking best candidate 0.670 * * * * [pick]: Picked # 0.670 * * * [progress]: localizing error 0.679 * * * [progress]: generating rewritten candidates 0.679 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.686 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.724 * * * [progress]: generating series expansions 0.724 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.725 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt 1.0) (sqrt x))) in (x) around 0 0.725 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt 1.0) (sqrt x))) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 0.725 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt 1.0) (sqrt x))) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 0.728 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.767 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt 1.0) (sqrt (/ 1 x))))) in (x) around 0 0.767 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt 1.0) (sqrt (/ 1 x))))) in x 0.767 * [taylor]: Taking taylor expansion of (* x (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 0.767 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt 1.0) (sqrt (/ 1 x))))) in x 0.777 * [taylor]: Taking taylor expansion of (* x (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 0.777 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.838 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (sqrt 1.0) (sqrt (/ -1 x))) x)) in (x) around 0 0.838 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (sqrt 1.0) (sqrt (/ -1 x))) x)) in x 0.838 * [taylor]: Taking taylor expansion of -1 in x 0.838 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) x) in x 0.838 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.839 * [taylor]: Taking taylor expansion of -1 in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (sqrt 1.0) (sqrt (/ -1 x))) x)) in x 0.848 * [taylor]: Taking taylor expansion of -1 in x 0.848 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) x) in x 0.848 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 0.848 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.849 * [taylor]: Taking taylor expansion of -1 in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.912 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.912 * [approximate]: Taking taylor expansion of (/ x (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x)))) in (x) around 0 0.912 * [taylor]: Taking taylor expansion of (/ x (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x)))) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x))) in x 0.912 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt x)) in x 0.912 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 0.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (/ x (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x)))) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x))) in x 0.919 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt x)) in x 0.919 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 0.921 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.976 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))))) in (x) around 0 0.976 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))))) in x 0.976 * [taylor]: Taking taylor expansion of (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x))))) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 0.976 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 x))) in x 0.976 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 0.978 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))))) in x 1.017 * [taylor]: Taking taylor expansion of (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x))))) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 1.017 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 x))) in x 1.017 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 1.019 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.287 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (* (- (sqrt 1.0) (sqrt (/ -1 x))) x))) in (x) around 0 1.287 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (* (- (sqrt 1.0) (sqrt (/ -1 x))) x))) in x 1.288 * [taylor]: Taking taylor expansion of -1 in x 1.288 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (* (- (sqrt 1.0) (sqrt (/ -1 x))) x)) in x 1.288 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 1.288 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.288 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.288 * [taylor]: Taking taylor expansion of -1 in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ -1 x))) x) in x 1.290 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 x))) in x 1.290 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.291 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.291 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.291 * [taylor]: Taking taylor expansion of -1 in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (* (- (sqrt 1.0) (sqrt (/ -1 x))) x))) in x 1.322 * [taylor]: Taking taylor expansion of -1 in x 1.322 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (* (- (sqrt 1.0) (sqrt (/ -1 x))) x)) in x 1.322 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 1.322 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.322 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.323 * [taylor]: Taking taylor expansion of -1 in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ -1 x))) x) in x 1.324 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 x))) in x 1.324 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.325 * [taylor]: Taking taylor expansion of -1 in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.584 * * * [progress]: simplifying candidates 1.589 * [simplify]: Simplifying using # : (expm1 (/ x (+ (sqrt 1.0) (sqrt x)))) (log1p (/ x (+ (sqrt 1.0) (sqrt x)))) (- (log x) (log (+ (sqrt 1.0) (sqrt x)))) (log (/ x (+ (sqrt 1.0) (sqrt x)))) (exp (/ x (+ (sqrt 1.0) (sqrt x)))) (/ (* (* x x) x) (* (* (+ (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x))) (+ (sqrt 1.0) (sqrt x)))) (* (cbrt (/ x (+ (sqrt 1.0) (sqrt x)))) (cbrt (/ x (+ (sqrt 1.0) (sqrt x))))) (cbrt (/ x (+ (sqrt 1.0) (sqrt x)))) (* (* (/ x (+ (sqrt 1.0) (sqrt x))) (/ x (+ (sqrt 1.0) (sqrt x)))) (/ x (+ (sqrt 1.0) (sqrt x)))) (sqrt (/ x (+ (sqrt 1.0) (sqrt x)))) (sqrt (/ x (+ (sqrt 1.0) (sqrt x)))) (- x) (- (+ (sqrt 1.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (sqrt 1.0) (sqrt x))) (cbrt (+ (sqrt 1.0) (sqrt x))))) (/ (cbrt x) (cbrt (+ (sqrt 1.0) (sqrt x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (sqrt 1.0) (sqrt x)))) (/ (cbrt x) (sqrt (+ (sqrt 1.0) (sqrt x)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (sqrt 1.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (+ (sqrt 1.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (* (cbrt (+ (sqrt 1.0) (sqrt x))) (cbrt (+ (sqrt 1.0) (sqrt x))))) (/ (sqrt x) (cbrt (+ (sqrt 1.0) (sqrt x)))) (/ (sqrt x) (sqrt (+ (sqrt 1.0) (sqrt x)))) (/ (sqrt x) (sqrt (+ (sqrt 1.0) (sqrt x)))) (/ (sqrt x) 1) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) 1) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt 1.0) (sqrt x))) 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1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3) x))))) (* (/ +nan.0 (pow (- (- 1.0 (* +nan.0 (sqrt 1.0))) (- +nan.0)) 3)) (/ 1 x))))) (- (- (- (/ x (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (* +nan.0 (/ (pow (sqrt 1.0) 2) (* (pow (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3) x)))) (/ (- (* +nan.0 (sqrt 1.0))) (pow (- (- 1.0 (* +nan.0 (sqrt 1.0))) (- +nan.0)) 2))) (+ (+ (* +nan.0 (/ 1 (* (pow (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2) x))) (/ (- +nan.0) (pow (- (- 1.0 (* +nan.0 (sqrt 1.0))) (- +nan.0)) 2))) (+ (+ (* +nan.0 (/ (sqrt 1.0) (* (pow (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2) x))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3) x))))) (* (/ +nan.0 (pow (- (- 1.0 (* +nan.0 (sqrt 1.0))) (- +nan.0)) 3)) (/ 1 x))))) 1.704 * * * [progress]: adding candidates to table 1.990 * * [progress]: iteration 4 / 4 1.990 * * * [progress]: picking best candidate 1.992 * * * * [pick]: Picked # 1.992 * * * [progress]: localizing error 2.000 * * * [progress]: generating rewritten candidates 2.000 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.065 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.091 * * * [progress]: generating series expansions 2.091 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.092 * [approximate]: Taking taylor expansion of (/ x (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x)))) in (x) around 0 2.092 * [taylor]: Taking taylor expansion of (/ x (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x)))) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x))) in x 2.092 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt x)) in x 2.092 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.092 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.094 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 2.094 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.094 * [taylor]: Taking taylor expansion of 1.0 in x 2.095 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.099 * [taylor]: Taking taylor expansion of (/ x (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x)))) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.099 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x))) in x 2.099 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt x)) in x 2.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.099 * [taylor]: Taking taylor expansion of 1.0 in x 2.099 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 2.100 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.101 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.155 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))))) in (x) around 0 2.155 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))))) in x 2.155 * [taylor]: Taking taylor expansion of (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x))))) in x 2.155 * [taylor]: Taking taylor expansion of x in x 2.155 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 2.155 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 x))) in x 2.155 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.155 * [taylor]: Taking taylor expansion of 1.0 in x 2.156 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.157 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 2.157 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.157 * [taylor]: Taking taylor expansion of 1.0 in x 2.158 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.158 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))))) in x 2.199 * [taylor]: Taking taylor expansion of (* x (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x))))) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 x))) (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 2.199 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 x))) in x 2.199 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.199 * [taylor]: Taking taylor expansion of 1.0 in x 2.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.201 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 2.201 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.201 * [taylor]: Taking taylor expansion of 1.0 in x 2.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.202 * [taylor]: Taking taylor expansion of x in x 2.463 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt 1.0) (sqrt (/ -1 x))))) in (x) around 0 2.463 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt 1.0) (sqrt (/ -1 x))))) in x 2.463 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.463 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.463 * [taylor]: Taking taylor expansion of -1 in x 2.463 * [taylor]: Taking taylor expansion of x in x 2.464 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt 1.0) (sqrt (/ -1 x)))) in x 2.464 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 2.464 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.464 * [taylor]: Taking taylor expansion of 1.0 in x 2.470 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.470 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.470 * [taylor]: Taking taylor expansion of -1 in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.471 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 x))) in x 2.471 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.471 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.472 * [taylor]: Taking taylor expansion of -1 in x 2.472 * [taylor]: Taking taylor expansion of x in x 2.487 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt 1.0) (sqrt (/ -1 x))))) in x 2.488 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.488 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.488 * [taylor]: Taking taylor expansion of -1 in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.489 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt 1.0) (sqrt (/ -1 x)))) in x 2.489 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 2.489 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.489 * [taylor]: Taking taylor expansion of 1.0 in x 2.490 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.490 * [taylor]: Taking taylor expansion of -1 in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.491 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 x))) in x 2.491 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.491 * [taylor]: Taking taylor expansion of 1.0 in x 2.492 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.492 * [taylor]: Taking taylor expansion of -1 in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.796 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.796 * [approximate]: Taking taylor expansion of (* (sqrt x) (/ 1 (- (sqrt 1.0) (sqrt x)))) in (x) around 0 2.796 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (- (sqrt 1.0) (sqrt x)))) in x 2.796 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.796 * [taylor]: Taking taylor expansion of x in x 2.797 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (sqrt x))) in x 2.798 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt x)) in x 2.798 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.798 * [taylor]: Taking taylor expansion of 1.0 in x 2.798 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.798 * [taylor]: Taking taylor expansion of x in x 2.801 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (- (sqrt 1.0) (sqrt x)))) in x 2.801 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.801 * [taylor]: Taking taylor expansion of x in x 2.802 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (sqrt x))) in x 2.802 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt x)) in x 2.802 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.802 * [taylor]: Taking taylor expansion of 1.0 in x 2.802 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.908 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (- (sqrt 1.0) (sqrt (/ 1 x))))) in (x) around 0 2.908 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (- (sqrt 1.0) (sqrt (/ 1 x))))) in x 2.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.908 * [taylor]: Taking taylor expansion of x in x 2.910 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (sqrt (/ 1 x)))) in x 2.910 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 x))) in x 2.910 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.910 * [taylor]: Taking taylor expansion of 1.0 in x 2.910 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.914 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (- (sqrt 1.0) (sqrt (/ 1 x))))) in x 2.914 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.915 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (sqrt (/ 1 x)))) in x 2.915 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 x))) in x 2.915 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.915 * [taylor]: Taking taylor expansion of 1.0 in x 2.916 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.916 * [taylor]: Taking taylor expansion of x in x 3.054 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (- (sqrt 1.0) (sqrt (/ -1 x)))) in (x) around 0 3.054 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (- (sqrt 1.0) (sqrt (/ -1 x)))) in x 3.054 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.054 * [taylor]: Taking taylor expansion of -1 in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.056 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 x))) in x 3.056 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.056 * [taylor]: Taking taylor expansion of 1.0 in x 3.056 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.056 * [taylor]: Taking taylor expansion of -1 in x 3.056 * [taylor]: Taking taylor expansion of x in x 3.060 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (- (sqrt 1.0) (sqrt (/ -1 x)))) in x 3.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.060 * [taylor]: Taking taylor expansion of -1 in x 3.060 * [taylor]: Taking taylor expansion of x in x 3.061 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 x))) in x 3.061 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.061 * [taylor]: Taking taylor expansion of 1.0 in x 3.062 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.062 * [taylor]: Taking taylor expansion of -1 in x 3.062 * [taylor]: Taking taylor expansion of x in x 3.139 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 3.140 * [approximate]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ (sqrt 1.0) (sqrt x)))) in (x) around 0 3.140 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ (sqrt 1.0) (sqrt x)))) in x 3.140 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.140 * [taylor]: Taking taylor expansion of x in x 3.141 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (sqrt x))) in x 3.141 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 3.141 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.141 * [taylor]: Taking taylor expansion of 1.0 in x 3.142 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.142 * [taylor]: Taking taylor expansion of x in x 3.144 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ (sqrt 1.0) (sqrt x)))) in x 3.144 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.144 * [taylor]: Taking taylor expansion of x in x 3.145 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (sqrt x))) in x 3.145 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 3.145 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.145 * [taylor]: Taking taylor expansion of 1.0 in x 3.145 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.145 * [taylor]: Taking taylor expansion of x in x 3.251 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt 1.0) (sqrt (/ 1 x))))) in (x) around 0 3.251 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt 1.0) (sqrt (/ 1 x))))) in x 3.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.251 * [taylor]: Taking taylor expansion of x in x 3.258 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 3.258 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 3.258 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.258 * [taylor]: Taking taylor expansion of 1.0 in x 3.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.259 * [taylor]: Taking taylor expansion of x in x 3.262 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt 1.0) (sqrt (/ 1 x))))) in x 3.262 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.262 * [taylor]: Taking taylor expansion of x in x 3.263 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 3.263 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 3.263 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.263 * [taylor]: Taking taylor expansion of 1.0 in x 3.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.264 * [taylor]: Taking taylor expansion of x in x 3.395 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt 1.0) (sqrt (/ -1 x)))) in (x) around 0 3.395 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt 1.0) (sqrt (/ -1 x)))) in x 3.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.395 * [taylor]: Taking taylor expansion of -1 in x 3.395 * [taylor]: Taking taylor expansion of x in x 3.396 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 3.396 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.396 * [taylor]: Taking taylor expansion of 1.0 in x 3.397 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.397 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.397 * [taylor]: Taking taylor expansion of -1 in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.400 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt 1.0) (sqrt (/ -1 x)))) in x 3.400 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.400 * [taylor]: Taking taylor expansion of -1 in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.401 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 3.401 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.401 * [taylor]: Taking taylor expansion of 1.0 in x 3.402 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.402 * [taylor]: Taking taylor expansion of -1 in x 3.402 * [taylor]: Taking taylor expansion of x in x 3.480 * * * [progress]: simplifying candidates 3.484 * [simplify]: Simplifying using # : (expm1 (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (log1p (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x)))) (+ (- (log (sqrt x)) (log (+ (sqrt 1.0) (sqrt x)))) (- (log (sqrt x)) (log (- (sqrt 1.0) (sqrt x))))) (+ (- (log (sqrt x)) (log (+ (sqrt 1.0) (sqrt x)))) (log (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (+ (log (/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))) (- (log (sqrt x)) (log (- (sqrt 1.0) (sqrt x))))) (+ (log (/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))) (log (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (log (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (exp (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (* (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x))) (+ (sqrt 1.0) (sqrt x)))) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (- (sqrt 1.0) (sqrt x)) (- (sqrt 1.0) (sqrt x))) (- (sqrt 1.0) (sqrt x))))) (* (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ (sqrt 1.0) (sqrt x)) (+ (sqrt 1.0) (sqrt x))) (+ (sqrt 1.0) (sqrt x)))) (* (* (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x)))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (* (* (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (- (sqrt 1.0) (sqrt x)) (- (sqrt 1.0) (sqrt x))) (- (sqrt 1.0) (sqrt x))))) (* (* (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))) (* (* (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x)))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (* (cbrt (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (cbrt (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x)))))) (cbrt (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (* (* (* (/ (sqrt x) (+ (sqrt 1.0) 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[simplify]: iteration 1 : 4999 enodes (cost 3418 ) 3.602 * * [simplify]: iteration 2 : 5001 enodes (cost 3418 ) 3.617 * [simplify]: Simplified to: (expm1 (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (log1p (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (/ x (+ 1.0 (- (* (sqrt x) (sqrt x))))) (- (log (/ x (+ (sqrt 1.0) (sqrt x)))) (log (- (sqrt 1.0) (sqrt x)))) (- (log (/ x (+ (sqrt 1.0) (sqrt x)))) (log (- (sqrt 1.0) (sqrt x)))) (- (log (/ x (+ (sqrt 1.0) (sqrt x)))) (log (- (sqrt 1.0) (sqrt x)))) (- (log (/ x (+ (sqrt 1.0) (sqrt x)))) (log (- (sqrt 1.0) (sqrt x)))) (- (log (/ x (+ (sqrt 1.0) (sqrt x)))) (log (- (sqrt 1.0) (sqrt x)))) (exp (* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))) (pow (/ (/ x (- (sqrt 1.0) (sqrt x))) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (/ x (- (sqrt 1.0) (sqrt x))) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (/ x (- (sqrt 1.0) (sqrt x))) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ 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+nan.0) 2))) (/ (- +nan.0) (* (pow x 2) (pow (- (sqrt 1.0) +nan.0) 3)))))))) 3.619 * * * [progress]: adding candidates to table 4.060 * [progress]: [Phase 3 of 3] Extracting. 4.060 * * [regime]: Finding splitpoints for: (# # # #) 4.060 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (- 1.0 x)) x) 4.060 * * * * [regimes]: Trying to branch on (/ x (- 1.0 x)) from (# # # #) 4.072 * * * * [regimes]: Trying to branch on x from (# # # #) 4.090 * * * [regime]: Found split indices: #