24.982 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) 0.035 * * [simplify]: iteration 0 : 11 enodes (cost 6 ) 0.036 * * [simplify]: iteration 1 : 14 enodes (cost 6 ) 0.037 * * [simplify]: iteration 2 : 14 enodes (cost 6 ) 0.038 * [simplify]: Simplified to: (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.058 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in (x) around 0 0.063 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in x 0.063 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.065 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in x 0.068 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.070 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [approximate]: Taking taylor expansion of (- (* 1.0 (sqrt x)) (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt x)) (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in x 0.126 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt x)) (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in x 0.129 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.162 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 0.162 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 0.166 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.192 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.192 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.205 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 0.205 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.216 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 0.216 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.216 * [taylor]: Taking taylor expansion of -1 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.232 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.232 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.232 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.236 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in (x) around 0 0.265 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.265 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of 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 0.267 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.283 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 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 0.306 * * * [progress]: simplifying candidates 0.307 * [simplify]: Simplifying using # : (fma 1.0 (/ 1 (sqrt x)) (- (* (/ 1 (sqrt (+ x 1.0))) 1.0))) (fma (- (/ 1 (sqrt (+ x 1.0)))) 1.0 (* (/ 1 (sqrt (+ x 1.0))) 1.0)) (fma 1.0 (/ 1 (sqrt x)) (- (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3))))))) (fma (- (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))))) (fma 1.0 (/ 1 (sqrt x)) (- (* (sqrt (- x 1.0)) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0))))))) (fma (- (sqrt (- x 1.0))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (- x 1.0)) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))))) (- (/ 1.0 (sqrt (+ x 1.0)))) (- (* 1.0 (sqrt (+ x 1.0))) (* (sqrt x) 1.0)) (* (sqrt x) (sqrt (+ x 1.0))) (- (* 1.0 (- (sqrt (+ x 1.0)))) (* (sqrt x) (- 1.0))) (* (sqrt x) (- (sqrt (+ x 1.0)))) (- (* 1.0 (/ (sqrt (+ x 1.0)) 1.0)) (* (sqrt x) 1)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (- (* (- 1.0) (sqrt (+ x 1.0))) (* (- (sqrt x)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (- (* (- 1.0) (- (sqrt (+ x 1.0)))) (* (- (sqrt x)) (- 1.0))) (* (- (sqrt x)) (- (sqrt (+ x 1.0)))) (- (* (- 1.0) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) 1)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (- (* 1 (sqrt (+ x 1.0))) (* (/ (sqrt x) 1.0) 1.0)) (* (/ (sqrt x) 1.0) (sqrt (+ x 1.0))) (- (* 1 (- (sqrt (+ x 1.0)))) (* (/ (sqrt x) 1.0) (- 1.0))) (* (/ (sqrt x) 1.0) (- (sqrt (+ x 1.0)))) (- (* 1 (/ (sqrt (+ x 1.0)) 1.0)) (* (/ (sqrt x) 1.0) 1)) (* (/ (sqrt x) 1.0) (/ (sqrt (+ x 1.0)) 1.0)) (- (pow (/ 1.0 (sqrt x)) 3) (pow (/ 1.0 (sqrt (+ x 1.0))) 3)) (+ (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (+ (* (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0)))) (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))))) (- (/ 1.0 (sqrt (+ x 1.0)))) (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))))) (+ (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1.0)))) (- (/ 1.0 (sqrt (+ x 1.0)))) (- 1.0) (- (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (- 1.0) (- (sqrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) 1.0) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (- (+ (* 0.5 (/ x (sqrt 1.0))) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ +nan.0 (- (+ (* 1.0 (sqrt 1.0)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +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))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- +nan.0))))) (- (+ (* +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))))) (- (+ (* 1.0 (sqrt 1.0)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ x (sqrt 1.0))))) (- (+ (* +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)))))))) 0.311 * * [simplify]: iteration 0 : 392 enodes (cost 413 ) 0.318 * * [simplify]: iteration 1 : 1308 enodes (cost 349 ) 0.342 * * [simplify]: iteration 2 : 5002 enodes (cost 327 ) 0.344 * [simplify]: Simplified to: (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) (* (/ 1 (sqrt (+ x 1.0))) (+ (- 1.0) 1.0)) (fma (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ (- 1.0) (hypot (pow 1.0 3/2) (pow x 3/2))) (/ 1.0 (sqrt x))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ (/ (- 1.0) (hypot (pow 1.0 3/2) (pow x 3/2))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))))) (fma (- (sqrt (- x 1.0))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (/ 1.0 (sqrt x))) (* (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (+ (- (sqrt (- x 1.0))) (sqrt (- x 1.0)))) (/ (- 1.0) (sqrt (+ x 1.0))) (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))) (* (- 1.0) (- (sqrt (+ x 1.0)) (sqrt x))) (* (- (sqrt x)) (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- 1.0) (- (sqrt (+ x 1.0)) (sqrt x))) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (+ (/ (- (sqrt x)) 1.0) (/ (sqrt (+ x 1.0)) 1.0)) (* (/ (sqrt x) 1.0) (/ (sqrt (+ x 1.0)) 1.0)) (- (pow (/ 1.0 (sqrt x)) 3) (pow (/ 1.0 (sqrt (+ x 1.0))) 3)) (fma (/ 1.0 (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))) (* 1.0 (- (/ (/ 1.0 (sqrt x)) (sqrt x)) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (+ (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1.0)))) (/ (- 1.0) (sqrt (+ x 1.0))) (- 1.0) (- (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (- 1.0) (- (sqrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) 1.0) (/ 1.0 (hypot (pow 1.0 3/2) (pow x 3/2))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (+ (- (- (fma 0.5 (/ x (sqrt 1.0)) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)))) +nan.0) (fma 1.0 (sqrt 1.0) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (* +nan.0 (- (pow x 2) x))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma (- (pow x 2)) +nan.0 (fma +nan.0 x (- +nan.0))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (- (+ (pow (sqrt 1.0) 3) (* (/ (pow x 2) (sqrt 1.0)) (- 0.5 (/ 0.125 1.0)))) (* 0.5 (/ x (sqrt 1.0)))) (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))) 0.344 * * * [progress]: adding candidates to table 0.425 * * [progress]: iteration 2 / 4 0.425 * * * [progress]: picking best candidate 0.441 * * * * [pick]: Picked # 0.441 * * * [progress]: localizing error 0.455 * * * [progress]: generating rewritten candidates 0.455 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.456 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.461 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.467 * * * [progress]: generating series expansions 0.467 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.467 * [approximate]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 0.468 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 0.468 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 0.468 * [taylor]: Taking taylor expansion of 1 in x 0.468 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.468 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 0.471 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 0.471 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 0.471 * [taylor]: Taking taylor expansion of 1 in x 0.471 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 0.471 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.471 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.507 * [approximate]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 0.508 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 0.508 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 0.508 * [taylor]: Taking taylor expansion of 1 in x 0.508 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.508 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 0.511 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 0.511 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 0.511 * [taylor]: Taking taylor expansion of 1 in x 0.511 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.537 * [approximate]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.537 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.538 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 0.538 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 0.538 * [taylor]: Taking taylor expansion of 1 in x 0.538 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 0.538 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.539 * [taylor]: Taking taylor expansion of -1 in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.541 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 0.541 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 0.541 * [taylor]: Taking taylor expansion of 1 in x 0.541 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 0.541 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.541 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.564 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.565 * [approximate]: Taking taylor expansion of (* -1.0 (sqrt (* x (+ x 1.0)))) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (* x (+ x 1.0)))) in x 0.565 * [taylor]: Taking taylor expansion of -1.0 in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 0.565 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (* x (+ x 1.0)))) in x 0.567 * [taylor]: Taking taylor expansion of -1.0 in x 0.567 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 0.567 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [approximate]: Taking taylor expansion of (* -1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 0.581 * [taylor]: Taking taylor expansion of -1.0 in x 0.581 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.581 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.581 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (* -1.0 (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 0.585 * [taylor]: Taking taylor expansion of -1.0 in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.585 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.595 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 0.595 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.595 * [taylor]: Taking taylor expansion of -1.0 in x 0.595 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.596 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.596 * [taylor]: Taking taylor expansion of -1 in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.598 * [taylor]: Taking taylor expansion of -1.0 in x 0.598 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.636 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.637 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)))) in (x) around 0 0.637 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)))) in x 0.637 * [taylor]: Taking taylor expansion of -1.0 in x 0.637 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) in x 0.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 0.637 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 0.640 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 0.640 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 0.640 * [taylor]: Taking taylor expansion of 1 in x 0.640 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.640 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)))) in x 0.643 * [taylor]: Taking taylor expansion of -1.0 in x 0.643 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 0.643 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.643 * [taylor]: Taking taylor expansion of x 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 0.646 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 0.646 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 0.646 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 0.646 * [taylor]: Taking taylor expansion of 1 in x 0.646 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.646 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.793 * [approximate]: Taking taylor expansion of (* -1.0 (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in (x) around 0 0.793 * [taylor]: Taking taylor expansion of (* -1.0 (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 0.793 * [taylor]: Taking taylor expansion of -1.0 in x 0.793 * [taylor]: Taking taylor expansion of (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 0.793 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 0.793 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 0.793 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 0.793 * [taylor]: Taking taylor expansion of 1 in x 0.793 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.793 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.793 * [taylor]: Taking taylor expansion of 1.0 in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 0.796 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (* -1.0 (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 0.801 * [taylor]: Taking taylor expansion of -1.0 in x 0.801 * [taylor]: Taking taylor expansion of (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 0.801 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 0.801 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 0.801 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 0.801 * [taylor]: Taking taylor expansion of 1 in x 0.801 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 0.801 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.801 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 0.804 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.856 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in x 0.856 * [taylor]: Taking taylor expansion of -1.0 in x 0.856 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.856 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 0.859 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.859 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 0.859 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 0.859 * [taylor]: Taking taylor expansion of 1 in x 0.859 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.861 * [taylor]: Taking taylor expansion of -1 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.862 * [taylor]: Taking taylor expansion of -1 in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in x 0.866 * [taylor]: Taking taylor expansion of -1.0 in x 0.866 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 0.866 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.867 * [taylor]: Taking taylor expansion of 1.0 in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 0.869 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.869 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 0.869 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 0.869 * [taylor]: Taking taylor expansion of 1 in x 0.869 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 0.869 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.869 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.871 * [taylor]: Taking taylor expansion of -1 in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.872 * [taylor]: Taking taylor expansion of -1 in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.944 * * * [progress]: simplifying candidates 0.944 * [simplify]: Simplifying using # : (* 1 (- (sqrt (+ x 1.0)))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (- (sqrt x)) (- (sqrt (+ x 1.0)))) (* (- (sqrt x)) 1) (* (- (sqrt x)) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0)))) (- (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (- (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ 1 (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (- (sqrt (+ x 1.0))))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) 1)) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ (pow x 3) (pow 1.0 3))))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0))))) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (+ (* +nan.0 (pow x 2)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 1.0 x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ x (sqrt 1.0))) (- (* +nan.0 (/ (pow x 2) (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)))))))) 0.949 * * [simplify]: iteration 0 : 306 enodes (cost 301 ) 0.953 * * [simplify]: iteration 1 : 1029 enodes (cost 267 ) 0.973 * * [simplify]: iteration 2 : 5001 enodes (cost 254 ) 0.975 * [simplify]: Simplified to: (- (sqrt (+ x 1.0))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0))) (- (sqrt x)) (* (- (sqrt x)) (hypot (pow 1.0 3/2) (pow x 3/2))) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0)))) (+ (sqrt (+ x 1.0)) (- (sqrt x))) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (/ 1 (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0))) (/ (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (+ x 1.0)))) (/ (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt x)) (sqrt (+ x 1.0))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (hypot (pow 1.0 3/2) (pow x 3/2))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (sqrt (- (* x x) (* 1.0 1.0))))) (+ (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (fma (pow x 2) +nan.0 (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)))) (* +nan.0 x)) (+ (/ +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 (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 1.0 x))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma (- (pow x 2)) +nan.0 (fma (sqrt 1.0) +nan.0 (fma (- +nan.0) (/ (pow x 2) (sqrt 1.0)) (fma +nan.0 (* x (sqrt 1.0)) (fma (- +nan.0) x (fma +nan.0 (* (pow x 2) (sqrt 1.0)) (fma (- +nan.0) (/ x (sqrt 1.0)) (* +nan.0 (/ (pow x 2) (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))) 0.975 * * * [progress]: adding candidates to table 1.066 * * [progress]: iteration 3 / 4 1.066 * * * [progress]: picking best candidate 1.085 * * * * [pick]: Picked # 1.085 * * * [progress]: localizing error 1.096 * * * [progress]: generating rewritten candidates 1.096 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.097 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.099 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.103 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.110 * * * [progress]: generating series expansions 1.110 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.110 * [approximate]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in (x) around 0 1.110 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 1.110 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 1.110 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 1.110 * [taylor]: Taking taylor expansion of 1 in x 1.110 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.110 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 1.114 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 1.114 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 1.114 * [taylor]: Taking taylor expansion of 1 in x 1.114 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 1.114 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.114 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.153 * [approximate]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in (x) around 0 1.153 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 1.154 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 1.154 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 1.154 * [taylor]: Taking taylor expansion of 1 in x 1.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 1.154 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 1.157 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 1.157 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 1.157 * [taylor]: Taking taylor expansion of 1 in x 1.157 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 1.157 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.157 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.179 * [approximate]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 1.179 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.179 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 1.179 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 1.179 * [taylor]: Taking taylor expansion of 1 in x 1.179 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 1.179 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.181 * [taylor]: Taking taylor expansion of -1 in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.182 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 1.182 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 1.182 * [taylor]: Taking taylor expansion of 1 in x 1.182 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 1.182 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.184 * [taylor]: Taking taylor expansion of -1 in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.206 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.206 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)))) in (x) around 0 1.206 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)))) in x 1.206 * [taylor]: Taking taylor expansion of -1 in x 1.206 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) in x 1.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 1.207 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 1.207 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 1.207 * [taylor]: Taking taylor expansion of 1 in x 1.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 1.208 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.208 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)))) in x 1.210 * [taylor]: Taking taylor expansion of -1 in x 1.210 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) in x 1.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 1.212 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 1.212 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 1.212 * [taylor]: Taking taylor expansion of 1 in x 1.212 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 1.212 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.212 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.351 * [approximate]: Taking taylor expansion of (* -1 (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt x))) in (x) around 0 1.351 * [taylor]: Taking taylor expansion of (* -1 (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt x))) in x 1.351 * [taylor]: Taking taylor expansion of -1 in x 1.351 * [taylor]: Taking taylor expansion of (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt x)) in x 1.351 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 1.351 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 1.351 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 1.351 * [taylor]: Taking taylor expansion of 1 in x 1.351 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 1.351 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.351 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.351 * [taylor]: Taking taylor expansion of 1.0 in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (* -1 (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt x))) in x 1.355 * [taylor]: Taking taylor expansion of -1 in x 1.355 * [taylor]: Taking taylor expansion of (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt x)) in x 1.355 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 1.355 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 1.355 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 1.355 * [taylor]: Taking taylor expansion of 1 in x 1.355 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 1.355 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.355 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.355 * [taylor]: Taking taylor expansion of 1.0 in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.415 * [approximate]: Taking taylor expansion of (* -1 (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in (x) around 0 1.415 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 1.415 * [taylor]: Taking taylor expansion of -1 in x 1.415 * [taylor]: Taking taylor expansion of (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 1.415 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.415 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 1.415 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 1.416 * [taylor]: Taking taylor expansion of 1 in x 1.416 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 1.416 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.417 * [taylor]: Taking taylor expansion of -1 in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 1.423 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.423 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 1.423 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 1.423 * [taylor]: Taking taylor expansion of 1 in x 1.423 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 1.423 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.425 * [taylor]: Taking taylor expansion of -1 in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.426 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.466 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.466 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.466 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.466 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.470 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 1.470 * [taylor]: Taking taylor expansion of 1.0 in x 1.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.470 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.470 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [taylor]: Taking taylor expansion of 1.0 in x 1.499 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in (x) around 0 1.499 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 1.499 * [taylor]: Taking taylor expansion of 1.0 in x 1.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 1.499 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.499 * [taylor]: Taking taylor expansion of 1.0 in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 1.501 * [taylor]: Taking taylor expansion of 1.0 in x 1.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 1.501 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.501 * [taylor]: Taking taylor expansion of 1.0 in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.517 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 1.517 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.517 * [taylor]: Taking taylor expansion of 1.0 in x 1.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.517 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.517 * [taylor]: Taking taylor expansion of 1.0 in x 1.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.517 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.519 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.536 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.536 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)))) in (x) around 0 1.536 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)))) in x 1.536 * [taylor]: Taking taylor expansion of -1.0 in x 1.536 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) in x 1.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 1.536 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of 1.0 in x 1.544 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 1.545 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 1.545 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 1.545 * [taylor]: Taking taylor expansion of 1 in x 1.545 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.545 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of 1.0 in x 1.547 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.548 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)))) in x 1.548 * [taylor]: Taking taylor expansion of -1.0 in x 1.548 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* x (+ x 1.0)))) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) in x 1.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 1.548 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 1.548 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.548 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.548 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) in x 1.551 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ x 1.0)))) (sqrt x)) 1.551 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ x 1.0)))) in x 1.551 * [taylor]: Taking taylor expansion of 1 in x 1.551 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0))) in x 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.551 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.704 * [approximate]: Taking taylor expansion of (* -1.0 (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (* -1.0 (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 1.704 * [taylor]: Taking taylor expansion of -1.0 in x 1.704 * [taylor]: Taking taylor expansion of (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 1.704 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 1.704 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 1.704 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 1.704 * [taylor]: Taking taylor expansion of 1 in x 1.704 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 1.704 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.704 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 1.708 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.708 * [taylor]: Taking taylor expansion of 1.0 in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.712 * [taylor]: Taking taylor expansion of (* -1.0 (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 1.712 * [taylor]: Taking taylor expansion of -1.0 in x 1.712 * [taylor]: Taking taylor expansion of (* (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 1.712 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (+ 1.0 (/ 1 x)))) (sqrt (/ 1 x))) in x 1.712 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x))) 1.712 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (+ 1.0 (/ 1 x))))) in x 1.712 * [taylor]: Taking taylor expansion of 1 in x 1.712 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x)))) in x 1.712 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.712 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.712 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 1.715 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.716 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of 1.0 in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.765 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in (x) around 0 1.765 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in x 1.765 * [taylor]: Taking taylor expansion of -1.0 in x 1.765 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 1.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.765 * [taylor]: Taking taylor expansion of 1.0 in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 1.767 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.767 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 1.767 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 1.767 * [taylor]: Taking taylor expansion of 1 in x 1.767 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 1.767 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.767 * [taylor]: Taking taylor expansion of 1.0 in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.769 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.769 * [taylor]: Taking taylor expansion of -1 in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.770 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.770 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.770 * [taylor]: Taking taylor expansion of -1 in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.775 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in x 1.775 * [taylor]: Taking taylor expansion of -1.0 in x 1.775 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 1.775 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.775 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.775 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.775 * [taylor]: Taking taylor expansion of 1.0 in x 1.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.777 * [taylor]: Taking taylor expansion of (/ (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 1.777 * [taylor]: Taking taylor expansion of (fma 1 (- (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 1.777 * [taylor]: Rewrote expression to (+ (* 1 (- (sqrt (- 1.0 (/ 1 x))))) (sqrt (/ -1 x))) 1.777 * [taylor]: Taking taylor expansion of (* 1 (- (sqrt (- 1.0 (/ 1 x))))) in x 1.778 * [taylor]: Taking taylor expansion of 1 in x 1.778 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x)))) in x 1.778 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.778 * [taylor]: Taking taylor expansion of 1.0 in x 1.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.779 * [taylor]: Taking taylor expansion of -1 in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.781 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.781 * [taylor]: Taking taylor expansion of -1 in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.858 * * * [progress]: simplifying candidates 1.859 * [simplify]: Simplifying using # : (* 1 (- (sqrt (+ x 1.0)))) (- (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (- (- (sqrt x))) (/ 1 (- (sqrt x))) (/ (- (sqrt x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) (- 1.0) (- (sqrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) 1.0) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (* (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) 1.0) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- 1.0)) (* (- (sqrt x)) (- (sqrt (+ x 1.0)))) (* (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) 1) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (* (- (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) 1.0) (* (- (- (sqrt x))) (sqrt (+ x 1.0))) (* (- (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (- 1.0)) (* (- (- (sqrt x))) (- (sqrt (+ x 1.0)))) (* (- (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) 1) (* (- (- (sqrt x))) (/ (sqrt (+ x 1.0)) 1.0)) (* 1 1.0) (* (/ (- (sqrt x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (sqrt (+ x 1.0))) (* 1 (- 1.0)) (* (/ (- (sqrt x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (- (sqrt (+ x 1.0)))) (* 1 1) (* (/ (- (sqrt x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt (+ x 1.0)) 1.0)) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) 1.0) (* (sqrt x) (sqrt (+ x 1.0))) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) (- 1.0)) (* (sqrt x) (- (sqrt (+ x 1.0)))) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) 1) (* (sqrt x) (/ (sqrt (+ x 1.0)) 1.0)) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) 1.0) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0))))) (* (/ 1 (- (sqrt x))) (/ 1.0 (sqrt (+ x 1.0)))) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) 1.0) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (- 1.0)) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) 1) (* (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) (* (- (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (/ 1.0 (sqrt (+ x 1.0)))) (* 1 (/ 1.0 (sqrt (+ x 1.0)))) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) (/ 1.0 (sqrt (+ x 1.0)))) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (+ (* +nan.0 (pow x 2)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ x (sqrt 1.0))) (- (* +nan.0 (/ (pow x 2) (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))))) (- (+ (* 1.0 (sqrt 1.0)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ x (sqrt 1.0))))) (- (+ (* +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)))))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ x (sqrt 1.0))) (- (* +nan.0 (/ (pow x 2) (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)))))))) 1.864 * * [simplify]: iteration 0 : 364 enodes (cost 492 ) 1.870 * * [simplify]: iteration 1 : 1377 enodes (cost 442 ) 1.896 * * [simplify]: iteration 2 : 5002 enodes (cost 416 ) 1.898 * [simplify]: Simplified to: (- (sqrt (+ x 1.0))) (+ (sqrt (+ x 1.0)) (- (sqrt x))) (sqrt x) (/ 1 (- (sqrt x))) (/ (- (sqrt x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) (- 1.0) (- (sqrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) 1.0) (/ 1.0 (hypot (pow 1.0 3/2) (pow x 3/2))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (* (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) 1.0) (* (- (sqrt x)) (sqrt (+ x 1.0))) (* (+ (sqrt (+ x 1.0)) (- (sqrt x))) 1.0) (* (sqrt (+ x 1.0)) (sqrt x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) 1.0)) (* (+ (sqrt (+ x 1.0)) (- (sqrt x))) 1.0) (* (sqrt (+ x 1.0)) (sqrt x)) (* (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) 1.0) (* (- (sqrt x)) (sqrt (+ x 1.0))) (+ (sqrt (+ x 1.0)) (- (sqrt x))) (* (/ (sqrt (+ x 1.0)) 1.0) (sqrt x)) 1.0 (* (/ (- (sqrt x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (sqrt (+ x 1.0))) (- 1.0) (/ (sqrt x) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (sqrt (+ x 1.0)))) 1 (* (/ (- (sqrt x)) (fma 1 (- (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt (+ x 1.0)) 1.0)) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) 1.0) (* (sqrt (+ x 1.0)) (sqrt x)) (/ (* (+ (sqrt (+ x 1.0)) (- (sqrt x))) 1.0) -1) (* (- (sqrt x)) (sqrt (+ x 1.0))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) (* (/ (sqrt (+ x 1.0)) 1.0) (sqrt x)) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) 1.0) (/ (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ (hypot (pow 1.0 3/2) (pow x 3/2)) 1.0)) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0))))) (/ (/ 1.0 (sqrt (+ x 1.0))) (- (sqrt x))) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) 1.0) (/ (* (+ (sqrt (+ x 1.0)) (- (sqrt x))) 1.0) (- (sqrt x))) (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (- (sqrt x))) (* (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) (/ (+ (sqrt (+ x 1.0)) (- (sqrt x))) (/ (sqrt (+ x 1.0)) 1.0)) (/ 1.0 (sqrt (+ x 1.0))) (* (/ (fma 1 (- (sqrt (+ x 1.0))) (sqrt x)) -1) (/ 1.0 (sqrt (+ x 1.0)))) (+ (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (fma (pow x 2) +nan.0 (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)))) (* +nan.0 x)) (+ (/ +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 (- (pow x 2)) +nan.0 (fma (sqrt 1.0) +nan.0 (fma (- +nan.0) (/ (pow x 2) (sqrt 1.0)) (fma +nan.0 (* x (sqrt 1.0)) (fma (- x) +nan.0 (fma +nan.0 (* (pow x 2) (sqrt 1.0)) (fma (- +nan.0) (/ x (sqrt 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 0.5 (/ 0.125 1.0))) (- (* 0.5 (/ x (sqrt 1.0))) (* 1.0 (sqrt 1.0)))) (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))) (fma (- (pow x 2)) +nan.0 (fma (sqrt 1.0) +nan.0 (fma (- +nan.0) (/ (pow x 2) (sqrt 1.0)) (fma +nan.0 (* x (sqrt 1.0)) (fma (- x) +nan.0 (fma +nan.0 (* (pow x 2) (sqrt 1.0)) (fma (- +nan.0) (/ x (sqrt 1.0)) (* +nan.0 (/ (pow x 2) (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))) 1.898 * * * [progress]: adding candidates to table 2.031 * * [progress]: iteration 4 / 4 2.031 * * * [progress]: picking best candidate 2.048 * * * * [pick]: Picked # 2.048 * * * [progress]: localizing error 2.062 * * * [progress]: generating rewritten candidates 2.062 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.078 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.082 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.084 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 2.090 * * * [progress]: generating series expansions 2.090 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.090 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (+ x 1.0)))) in (x) around 0 2.090 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (+ x 1.0)))) in x 2.090 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 2.091 * [taylor]: Taking taylor expansion of 1.0 in x 2.091 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.091 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of 1.0 in x 2.092 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (+ x 1.0)))) in x 2.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.092 * [taylor]: Taking taylor expansion of 1.0 in x 2.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 2.092 * [taylor]: Taking taylor expansion of 1.0 in x 2.092 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 2.092 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* 1.0 (/ 1 (+ 1.0 (/ 1 x))))) in (x) around 0 2.100 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 1.0 (/ 1 (+ 1.0 (/ 1 x))))) in x 2.100 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 2.100 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.101 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 1.0 (/ 1 (+ 1.0 (/ 1 x))))) in x 2.101 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.101 * [taylor]: Taking taylor expansion of 1.0 in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.101 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 2.101 * [taylor]: Taking taylor expansion of 1.0 in x 2.101 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 2.101 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.101 * [taylor]: Taking taylor expansion of 1.0 in x 2.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.122 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 1.0 (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 2.122 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 1.0 (/ 1 (- 1.0 (/ 1 x))))) in x 2.122 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow (sqrt (/ -1 x)) 2))) in x 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 x)) 2)) in x 2.122 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.122 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.122 * [taylor]: Taking taylor expansion of -1 in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.124 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 2.124 * [taylor]: Taking taylor expansion of 1.0 in x 2.124 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.124 * [taylor]: Taking taylor expansion of 1.0 in x 2.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.124 * [taylor]: Taking taylor expansion of x in x 2.125 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow (sqrt (/ -1 x)) 2))) (* 1.0 (/ 1 (- 1.0 (/ 1 x))))) in x 2.125 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow (sqrt (/ -1 x)) 2))) in x 2.125 * [taylor]: Taking taylor expansion of 1.0 in x 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 x)) 2)) in x 2.125 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.125 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.125 * [taylor]: Taking taylor expansion of -1 in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.127 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 2.127 * [taylor]: Taking taylor expansion of 1.0 in x 2.127 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.127 * [taylor]: Taking taylor expansion of 1.0 in x 2.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.150 * [approximate]: Taking taylor expansion of (/ 1.0 x) in (x) around 0 2.150 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 2.150 * [taylor]: Taking taylor expansion of 1.0 in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.150 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 2.150 * [taylor]: Taking taylor expansion of 1.0 in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.159 * [approximate]: Taking taylor expansion of (* 1.0 x) in (x) around 0 2.159 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.160 * [taylor]: Taking taylor expansion of 1.0 in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.160 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.160 * [taylor]: Taking taylor expansion of 1.0 in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.165 * [approximate]: Taking taylor expansion of (/ 1.0 (pow (sqrt (/ -1 x)) 2)) in (x) around 0 2.165 * [taylor]: Taking taylor expansion of (/ 1.0 (pow (sqrt (/ -1 x)) 2)) in x 2.165 * [taylor]: Taking taylor expansion of 1.0 in x 2.165 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.165 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.165 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.165 * [taylor]: Taking taylor expansion of -1 in x 2.165 * [taylor]: Taking taylor expansion of x in x 2.167 * [taylor]: Taking taylor expansion of (/ 1.0 (pow (sqrt (/ -1 x)) 2)) in x 2.167 * [taylor]: Taking taylor expansion of 1.0 in x 2.167 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.167 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.167 * [taylor]: Taking taylor expansion of -1 in x 2.167 * [taylor]: Taking taylor expansion of x in x 2.182 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.182 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 2.182 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 2.182 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.183 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 2.183 * [taylor]: Taking taylor expansion of 1.0 in x 2.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.194 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 2.194 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 2.194 * [taylor]: Taking taylor expansion of 1.0 in x 2.194 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.195 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 2.195 * [taylor]: Taking taylor expansion of 1.0 in x 2.195 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.206 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 2.206 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 2.206 * [taylor]: Taking taylor expansion of 1.0 in x 2.206 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.206 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.206 * [taylor]: Taking taylor expansion of -1 in x 2.206 * [taylor]: Taking taylor expansion of x in x 2.207 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 2.207 * [taylor]: Taking taylor expansion of 1.0 in x 2.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.207 * [taylor]: Taking taylor expansion of -1 in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.219 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 2.219 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 2.219 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 2.219 * [taylor]: Taking taylor expansion of 1.0 in x 2.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.221 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 2.221 * [taylor]: Taking taylor expansion of 1.0 in x 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.232 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 2.232 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.232 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.248 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 2.248 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 2.248 * [taylor]: Taking taylor expansion of 1.0 in x 2.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.248 * [taylor]: Taking taylor expansion of -1 in x 2.248 * [taylor]: Taking taylor expansion of x in x 2.250 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 2.250 * [taylor]: Taking taylor expansion of 1.0 in x 2.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.250 * [taylor]: Taking taylor expansion of -1 in x 2.250 * [taylor]: Taking taylor expansion of x in x 2.261 * * * [progress]: simplifying candidates 2.263 * [simplify]: Simplifying using # : (fma (/ 1.0 (sqrt x)) (/ 1 (sqrt x)) (- (* (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0)))))) (fma (- (/ 1 (sqrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) (* (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))))) (fma (/ 1.0 (sqrt x)) (/ 1 (sqrt x)) (- (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ (pow x 3) (pow 1.0 3))))))) (fma (- (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ (pow x 3) (pow 1.0 3)))))) (fma (/ 1.0 (sqrt x)) (/ 1 (sqrt x)) (- (* (sqrt (- x 1.0)) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (- (* x x) (* 1.0 1.0))))))) (fma (- (sqrt (- x 1.0))) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (- x 1.0)) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (- (* x x) (* 1.0 1.0)))))) (- (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (- (* (/ 1.0 (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (/ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (sqrt (+ x 1.0))) (- (* (/ 1.0 (sqrt x)) (- (sqrt (+ x 1.0)))) (* (sqrt x) (- (/ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (- (sqrt (+ x 1.0)))) (- (* (/ 1.0 (sqrt x)) (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) 1)) (* (sqrt x) (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (- (* (/ 1.0 (sqrt x)) (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (* (sqrt x) 1.0)) (* (sqrt x) (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (- (* (/ 1.0 (sqrt x)) (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (sqrt x) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))))) (* (sqrt x) (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (- (* (/ 1.0 (sqrt x)) (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (* (sqrt x) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))))) (* (sqrt x) (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (- (* (/ 1.0 (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (sqrt x) 1.0)) (* (sqrt x) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- (* (/ 1.0 (sqrt x)) (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (* (sqrt x) (- 1.0))) (* (sqrt x) (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (- (* (/ 1.0 (sqrt x)) (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (* (sqrt x) 1)) (* (sqrt x) (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (- (* (- (/ 1.0 (sqrt x))) (sqrt (+ x 1.0))) (* (- (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))) (* (- (sqrt x)) (sqrt (+ x 1.0))) (- (* (- (/ 1.0 (sqrt x))) (- (sqrt (+ x 1.0)))) (* (- (sqrt x)) (- (/ 1.0 (sqrt (+ x 1.0)))))) (* (- (sqrt x)) (- (sqrt (+ x 1.0)))) (- (* (- (/ 1.0 (sqrt x))) (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (* (- (sqrt x)) 1)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (- (* (- (/ 1.0 (sqrt x))) (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (* (- (sqrt x)) 1.0)) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (- (* (- (/ 1.0 (sqrt x))) (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (- (sqrt x)) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))))) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (- (* (- (/ 1.0 (sqrt x))) (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (* (- (sqrt x)) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))))) (* (- (sqrt x)) (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (- (* (- (/ 1.0 (sqrt x))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (- (sqrt x)) 1.0)) (* (- (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- (* (- (/ 1.0 (sqrt x))) (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (* (- (sqrt x)) (- 1.0))) (* (- (sqrt x)) (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (- (* (- (/ 1.0 (sqrt x))) (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (* (- (sqrt x)) 1)) (* (- (sqrt x)) (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (- (* 1 (sqrt (+ x 1.0))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (/ 1.0 (sqrt (+ x 1.0))))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (sqrt (+ x 1.0))) (- (* 1 (- (sqrt (+ x 1.0)))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (- (/ 1.0 (sqrt (+ x 1.0)))))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (- (sqrt (+ x 1.0)))) (- (* 1 (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) 1)) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (- (* 1 (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) 1.0)) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (- (* 1 (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (- (* 1 (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (- (* 1 (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) 1.0)) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- (* 1 (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (- 1.0))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (- (* 1 (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (* (/ (sqrt x) (/ 1.0 (sqrt x))) 1)) (* (/ (sqrt x) (/ 1.0 (sqrt x))) (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (- (* 1.0 (sqrt (+ x 1.0))) (* (/ (sqrt x) (/ 1 (sqrt x))) (/ 1.0 (sqrt (+ x 1.0))))) (* (/ (sqrt x) (/ 1 (sqrt x))) (sqrt (+ x 1.0))) (- (* 1.0 (- (sqrt (+ x 1.0)))) (* (/ (sqrt x) (/ 1 (sqrt x))) (- (/ 1.0 (sqrt (+ x 1.0)))))) (* (/ (sqrt x) (/ 1 (sqrt x))) (- (sqrt (+ x 1.0)))) (- (* 1.0 (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (* (/ (sqrt x) (/ 1 (sqrt x))) 1)) (* (/ (sqrt x) (/ 1 (sqrt x))) (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (* (/ (sqrt x) (/ 1 (sqrt x))) 1.0)) (* (/ (sqrt x) (/ 1 (sqrt x))) (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (- (* 1.0 (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (/ (sqrt x) (/ 1 (sqrt x))) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))))) (* (/ (sqrt x) (/ 1 (sqrt x))) (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (- (* 1.0 (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (* (/ (sqrt x) (/ 1 (sqrt x))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))))) (* (/ (sqrt x) (/ 1 (sqrt x))) (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (- (* 1.0 (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (/ (sqrt x) (/ 1 (sqrt x))) 1.0)) (* (/ (sqrt x) (/ 1 (sqrt x))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- (* 1.0 (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (* (/ (sqrt x) (/ 1 (sqrt x))) (- 1.0))) (* (/ (sqrt x) (/ 1 (sqrt x))) (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (- (* 1.0 (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (* (/ (sqrt x) (/ 1 (sqrt x))) 1)) (* (/ (sqrt x) (/ 1 (sqrt x))) (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (- (* 1.0 (sqrt (+ x 1.0))) (* (* (sqrt x) (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))) (* (* (sqrt x) (sqrt x)) (sqrt (+ x 1.0))) (- (* 1.0 (- (sqrt (+ x 1.0)))) (* (* (sqrt x) (sqrt x)) (- (/ 1.0 (sqrt (+ x 1.0)))))) (* (* (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)))) (- (* 1.0 (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (* (* (sqrt x) (sqrt x)) 1)) (* (* (sqrt x) (sqrt x)) (/ (sqrt (+ x 1.0)) (/ 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (* (* (sqrt x) (sqrt x)) 1.0)) (* (* (sqrt x) (sqrt x)) (/ (sqrt (+ x 1.0)) (/ 1 (sqrt (+ x 1.0))))) (- (* 1.0 (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (* (sqrt x) (sqrt x)) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))))) (* (* (sqrt x) (sqrt x)) (/ (sqrt (+ x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (- (* 1.0 (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (* (* (sqrt x) (sqrt x)) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))))) (* (* (sqrt x) (sqrt x)) (/ (sqrt (+ x 1.0)) (sqrt (- x 1.0)))) (- (* 1.0 (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (* (sqrt x) (sqrt x)) 1.0)) (* (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- (* 1.0 (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (* (* (sqrt x) (sqrt x)) (- 1.0))) (* (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0))))) (- (* 1.0 (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (* (* (sqrt x) (sqrt x)) 1)) (* (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) 1.0))) (- (* (- 1.0) (sqrt (+ x 1.0))) (* (* (sqrt x) (- (sqrt x))) (/ 1.0 (sqrt (+ x 1.0))))) (* (* (sqrt x) (- (sqrt 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x 1.0)) 1.0))) (- (pow (/ (/ 1.0 (sqrt x)) (sqrt x)) 3) (pow (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) 3)) (+ (* (/ (/ 1.0 (sqrt x)) (sqrt x)) (/ (/ 1.0 (sqrt x)) (sqrt x))) (+ (* (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (* (/ (/ 1.0 (sqrt x)) (sqrt x)) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))))) (- (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (- (* (/ (/ 1.0 (sqrt x)) (sqrt x)) (/ (/ 1.0 (sqrt x)) (sqrt x))) (* (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (+ (/ (/ 1.0 (sqrt x)) (sqrt x)) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (- (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (- (/ 1.0 (sqrt x))) (- (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) (/ 1.0 (sqrt x))) (/ (sqrt x) (/ 1 (sqrt x))) (* (sqrt x) (sqrt x)) (* (sqrt x) (- (sqrt x))) (* (sqrt x) (/ (sqrt x) 1.0)) (- 1.0) (- (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (- 1.0) (- (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (- (+ 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1.0))) (sqrt (+ x 1.0)))) (/ 1.0 (+ x 1.0))) (/ (* (/ 1.0 x) 1.0) x)) (+ (/ (/ 1.0 (sqrt x)) (sqrt x)) (/ (/ 1.0 (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (/ (- 1.0) (+ x 1.0)) (- (/ 1.0 (sqrt x))) (- (sqrt x)) (/ 1 (sqrt x)) (/ x 1.0) x x (- x) (/ x 1.0) (- 1.0) (- (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (- 1.0) (- (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (fma x 1.0 (- (* 1.0 (/ 1 x)) 1.0)) (* 1.0 (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))) (/ 1 (pow x 3)))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (/ 1.0 x) (/ 1.0 x) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (pow x 2))) (fma +nan.0 x (- +nan.0))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (pow x 2))) (fma +nan.0 x (- +nan.0))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.380 * * * [progress]: adding candidates to table 2.579 * [progress]: [Phase 3 of 3] Extracting. 2.579 * * [regime]: Finding splitpoints for: (# # # #) 2.584 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.584 * * * * [regimes]: Trying to branch on x from (# # # #) 2.610 * * * [regime]: Found split indices: #