16.150 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (+ x 1.0) (- 1.0 x)) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.019 * [simplify]: Simplified to: (/ (+ x 1.0) (- 1.0 x)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.034 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.034 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.036 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.043 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.043 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.055 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.055 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying using # : (- (log (+ x 1.0)) (log (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) 1) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) 1) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- 1.0 x) (- x 1.0)) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.072 * * [simplify]: iteration 0 : 205 enodes (cost 309 ) 0.076 * * [simplify]: iteration 1 : 681 enodes (cost 292 ) 0.089 * * [simplify]: iteration 2 : 2801 enodes (cost 286 ) 0.147 * * [simplify]: iteration 3 : 5002 enodes (cost 286 ) 0.149 * [simplify]: Simplified to: (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- x 1.0) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (+ x 1.0) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (+ x 1.0) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ 1 (- 1.0 x)) (* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (- 1.0 x)) (* (- 1.0 x) (- x 1.0)) (+ 1.0 (* 2.0 (+ (pow x 2) x))) (- (- (/ (- 2.0) (pow x 2)) 1) (/ 2.0 x)) (- (- (/ (- 2.0) (pow x 2)) 1) (/ 2.0 x)) 0.150 * * * [progress]: adding candidates to table 0.211 * * [progress]: iteration 2 / 4 0.211 * * * [progress]: picking best candidate 0.214 * * * * [pick]: Picked # 0.214 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.232 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.238 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.281 * * * [progress]: generating series expansions 0.281 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.282 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 x))) (+ x 1.0)) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 x))) (+ x 1.0)) in x 0.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 0.282 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.286 * [taylor]: Taking taylor expansion of 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 x))) (+ x 1.0)) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (+ 1.0 (/ 1 x))) in (x) around 0 0.325 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (+ 1.0 (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (+ 1.0 (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.350 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.375 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.375 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 0.375 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 0.379 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.400 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in (x) around 0 0.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.416 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.430 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.430 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.431 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.438 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.438 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.438 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.439 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.450 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * * * [progress]: simplifying candidates 0.468 * [simplify]: Simplifying using # : (- (log (+ x 1.0)) (log (sqrt (- 1.0 x)))) (log (/ (+ x 1.0) (sqrt (- 1.0 x)))) (exp (/ (+ x 1.0) (sqrt (- 1.0 x)))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x)))) (* (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x))))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (* (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (sqrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (sqrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (- (+ x 1.0)) (- (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (cbrt (+ x 1.0)) (cbrt (sqrt (- 1.0 x)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (/ (cbrt (+ x 1.0)) (sqrt (cbrt (- 1.0 x)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (sqrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (sqrt (sqrt (- 1.0 x)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt 1)) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ (sqrt 1.0) (sqrt x)))) (/ (cbrt (+ x 1.0)) 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1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (sqrt (+ 1.0 x)) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (+ x 1.0)) (* 1 (/ (+ x 1.0) (sqrt (- 1.0 x)))) (- (+ (* x (sqrt 1.0)) (+ (* 1.0 (sqrt 1.0)) (+ (* 0.5 (/ x (sqrt 1.0))) (* 1.0 (/ (pow x 2) (sqrt 1.0)))))) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (+ (* 0.5 (/ x (sqrt 1.0))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (* 0.125 (/ (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)))))))) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.479 * * [simplify]: iteration 0 : 730 enodes (cost 2151 ) 0.495 * * [simplify]: iteration 1 : 4384 enodes (cost 1879 ) 0.546 * * [simplify]: iteration 2 : 5001 enodes (cost 1747 ) 0.556 * [simplify]: Simplified to: (log (/ (+ x 1.0) (sqrt (- 1.0 x)))) (log (/ (+ x 1.0) (sqrt (- 1.0 x)))) (exp (/ (+ x 1.0) (sqrt (- 1.0 x)))) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) (* (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x))))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) (sqrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (sqrt (/ (+ x 1.0) (sqrt 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(sqrt x)))) 1 (/ 1 (sqrt (sqrt (- 1.0 x)))) 1 (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (/ 1 (sqrt (- (pow 1.0 3) (pow x 3)))) (/ 1 (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ x 1.0) (- 1.0 x)) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (* (cbrt (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))))) (cbrt (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))))) (cbrt (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (sqrt (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))))) (sqrt (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))))) (+ x 1.0) (- 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x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (cbrt (- 1.0 x)))) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (cbrt (- 1.0 x)))) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)) (* (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (sqrt (+ 1.0 x)) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (+ (* (sqrt 1.0) (+ x 1.0)) (- (+ (* 0.5 (/ x (sqrt 1.0))) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (sqrt 1.0) (- (* 0.5 (+ (/ x (sqrt 1.0)) (/ (pow x 2) (sqrt 1.0)))) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ 1.0 (* 2.0 (+ (pow x 2) x))) (- (/ (- 2.0) (pow x 2)) (+ (* 2.0 (/ 1 x)) 1)) (- (/ (- 2.0) (pow x 2)) (+ (* 2.0 (/ 1 x)) 1)) 0.557 * * * [progress]: adding candidates to table 0.823 * * [progress]: iteration 3 / 4 0.823 * * * [progress]: picking best candidate 0.825 * * * * [pick]: Picked # 0.825 * * * [progress]: localizing error 0.830 * * * [progress]: generating rewritten candidates 0.830 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 2) 0.836 * * * [progress]: generating series expansions 0.836 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 2) 0.836 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.836 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.842 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.856 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.872 * * * [progress]: simplifying candidates 0.872 * [simplify]: Simplifying using # : (* (exp (pow x 2)) (exp x)) (log (+ (pow x 2) x)) (exp (+ (pow x 2) x)) (* (cbrt (+ (pow x 2) x)) (cbrt (+ (pow x 2) x))) (cbrt (+ (pow x 2) x)) (* (* (+ (pow x 2) x) (+ (pow x 2) x)) (+ (pow x 2) x)) (sqrt (+ (pow x 2) x)) (sqrt (+ (pow x 2) x)) (+ (pow (pow x 2) 3) (pow x 3)) (+ (* (pow x 2) (pow x 2)) (- (* x x) (* (pow x 2) x))) (- (* (pow x 2) (pow x 2)) (* x x)) (- (pow x 2) x) (+ (pow x 2) x) (+ x 1) (+ x 1) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.875 * * [simplify]: iteration 0 : 73 enodes (cost 58 ) 0.877 * * [simplify]: iteration 1 : 240 enodes (cost 52 ) 0.881 * * [simplify]: iteration 2 : 734 enodes (cost 52 ) 0.901 * * [simplify]: iteration 3 : 3304 enodes (cost 52 ) 1.010 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 1.011 * [simplify]: Simplified to: (exp (+ (pow x 2) x)) (log (+ (pow x 2) x)) (exp (+ (pow x 2) x)) (* (cbrt (+ (pow x 2) x)) (cbrt (+ (pow x 2) x))) (cbrt (+ (pow x 2) x)) (pow (+ (pow x 2) x) 3) (sqrt (+ (pow x 2) x)) (sqrt (+ (pow x 2) x)) (+ (pow (pow x 2) 3) (pow x 3)) (- (+ (pow x 4) (pow x 2)) (pow x 3)) (- (pow x 4) (pow x 2)) (- (pow x 2) x) (+ (pow x 2) x) (+ x 1) (+ x 1) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 1.011 * * * [progress]: adding candidates to table 1.037 * [progress]: [Phase 3 of 3] Extracting. 1.037 * * [regime]: Finding splitpoints for: (# # #) 1.037 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 1.037 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# # #) 1.047 * * * * [regimes]: Trying to branch on x from (# # #) 1.058 * * * [regime]: Found split indices: #