13.978 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ (+ x 1.0) (- 1.0 x)) 0.013 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.014 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.015 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.016 * [simplify]: Simplified to: (/ (+ x 1.0) (- 1.0 x)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.037 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.037 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.038 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.045 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 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 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.057 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 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 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * * * [progress]: simplifying candidates 0.069 * [simplify]: Simplifying using # : (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (- (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))) 0.073 * * [simplify]: iteration 0 : 214 enodes (cost 315 ) 0.077 * * [simplify]: iteration 1 : 711 enodes (cost 297 ) 0.089 * * [simplify]: iteration 2 : 2979 enodes (cost 293 ) 0.149 * * [simplify]: iteration 3 : 5001 enodes (cost 292 ) 0.151 * [simplify]: Simplified to: (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ 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) (* (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)) (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x)) (* (- 1.0 x) (- x 1.0)) (fma (fma x x x) 2.0 1.0) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) 0.152 * * * [progress]: adding candidates to table 0.229 * * [progress]: iteration 2 / 4 0.229 * * * [progress]: picking best candidate 0.234 * * * * [pick]: Picked # 0.234 * * * [progress]: localizing error 0.241 * * * [progress]: generating rewritten candidates 0.241 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.253 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.266 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.288 * * * [progress]: generating series expansions 0.288 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.289 * [approximate]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 3) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 3) in x 0.289 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.289 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 3) in x 0.290 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 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 0.290 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.303 * [approximate]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) in x 0.303 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) in x 0.304 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.304 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.323 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) in (x) around 0 0.323 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) in x 0.323 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) in x 0.324 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.341 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.341 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.342 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.349 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.350 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of 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 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.364 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.364 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.375 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.375 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 1.0 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 0.376 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.376 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.382 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.395 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.395 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.396 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * * * [progress]: simplifying candidates 0.409 * [simplify]: Simplifying using # : (expm1 (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (log1p (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (* (- (log (+ x 1.0)) (log (- 1.0 x))) 3) (* (log (/ (+ x 1.0) (- 1.0 x))) 3) (* (log (/ (+ x 1.0) (- 1.0 x))) 3) (* 1 3) (pow (/ (+ x 1.0) (- 1.0 x)) (* (cbrt 3) (cbrt 3))) (pow (/ (+ x 1.0) (- 1.0 x)) (sqrt 3)) (pow (/ (+ x 1.0) (- 1.0 x)) 1) (pow (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) 3) (pow (cbrt (/ (+ x 1.0) (- 1.0 x))) 3) (pow (sqrt (/ (+ x 1.0) (- 1.0 x))) 3) (pow (sqrt (/ (+ x 1.0) (- 1.0 x))) 3) 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(pow (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) 1) 3)) (cbrt (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3)) (cbrt (pow (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (cbrt (pow (/ (+ x 1.0) (cbrt (- 1.0 x))) 3)) (cbrt (pow (/ 1 (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (cbrt (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (cbrt (pow (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3)) (cbrt (pow (/ (+ x 1.0) (cbrt (- 1.0 x))) 3)) (cbrt (pow (/ 1 (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (cbrt (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ (+ x 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x))) 3)) (cbrt (pow (+ 1.0 x) 3)) (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))) (cbrt (sqrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (cbrt (sqrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (cbrt 1) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) (/ 3 2))) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) (/ 3 2))) (cbrt (pow (+ x 1.0) 3)) (cbrt (pow (- 1.0 x) 3)) (* (cbrt (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (cbrt (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)))) (cbrt (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (* (* (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (sqrt (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (sqrt (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (- (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)) (+ (* 18.0 (pow x 2)) (+ (* 6.0 x) 1.0)) (- (+ (* 18.0 (/ 1 (pow x 2))) (+ (* 6.0 (/ 1 x)) 1))) (- (+ (* 18.0 (/ 1 (pow x 2))) (+ (* 6.0 (/ 1 x)) 1))) (+ (* 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))) (+ (* 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))) 0.418 * * [simplify]: iteration 0 : 571 enodes (cost 1488 ) 0.428 * * [simplify]: iteration 1 : 2500 enodes (cost 1380 ) 0.468 * * [simplify]: iteration 2 : 5001 enodes (cost 1362 ) 0.475 * [simplify]: Simplified to: (expm1 (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (log1p (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (log (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (log (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (log (pow (/ (+ x 1.0) (- 1.0 x)) 3)) 3 (pow (/ (+ x 1.0) (- 1.0 x)) (* (cbrt 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1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 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 (/ (+ x 1.0) (- 1.0 x)) (+ x 1.0) (/ 1 (- 1.0 x)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (fma 1.0 1.0 (fma x x (* 1.0 x))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0) (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))) (cbrt (sqrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) (cbrt (sqrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))) 1 (/ (+ 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) (- 1.0 x)) (/ (+ 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))) (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ 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) (cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ 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)) (- (- 1.0 x)) (cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 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))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (fma 1.0 (- 1.0 x) (pow x 2))) (* (- 1.0 x) (- x 1.0)) (fma 18.0 (pow x 2) (fma 6.0 x 1.0)) (- (/ (- 18.0) (pow x 2)) (fma 6.0 (/ 1 x) 1)) (- (/ (- 18.0) (pow x 2)) (fma 6.0 (/ 1 x) 1)) (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) 0.477 * * * [progress]: adding candidates to table 0.729 * * [progress]: iteration 3 / 4 0.729 * * * [progress]: picking best candidate 0.731 * * * * [pick]: Picked # 0.731 * * * [progress]: localizing error 0.743 * * * [progress]: generating rewritten candidates 0.743 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.748 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.759 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.769 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.787 * * * [progress]: generating series expansions 0.787 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.787 * [approximate]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 1/3) in (x) around 0 0.787 * [taylor]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 1/3) in x 0.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ x 1.0) (- 1.0 x))))) in x 0.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ x 1.0) (- 1.0 x)))) in x 0.788 * [taylor]: Taking taylor expansion of 1/3 in x 0.788 * [taylor]: Taking taylor expansion of (log (/ (+ x 1.0) (- 1.0 x))) in x 0.788 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.788 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 1/3) in x 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ x 1.0) (- 1.0 x))))) in x 0.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ x 1.0) (- 1.0 x)))) in x 0.791 * [taylor]: Taking taylor expansion of 1/3 in x 0.791 * [taylor]: Taking taylor expansion of (log (/ (+ x 1.0) (- 1.0 x))) in x 0.791 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.791 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.839 * [approximate]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 1/3) in (x) around 0 0.839 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 1/3) in x 0.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))))) in x 0.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.840 * [taylor]: Taking taylor expansion of 1/3 in x 0.840 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.840 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.840 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 1/3) in x 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.843 * [taylor]: Taking taylor expansion of 1/3 in x 0.843 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.843 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.843 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 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 (- 1.0 (/ 1 x)) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.879 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 1/3) in (x) around 0 0.879 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 1/3) in x 0.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 0.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.879 * [taylor]: Taking taylor expansion of 1/3 in x 0.879 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.879 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 1/3) in x 0.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.883 * [taylor]: Taking taylor expansion of 1/3 in x 0.883 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.883 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.923 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.923 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.923 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.924 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.931 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.931 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.931 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.933 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.943 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.943 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.943 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.943 * [taylor]: Taking taylor expansion of 1.0 in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.954 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.954 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.954 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.955 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.961 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.962 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.978 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.978 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.980 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.989 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.989 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.990 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.991 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.997 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.997 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.997 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.998 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.999 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.000 * [taylor]: Taking taylor expansion of 1.0 in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.009 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 1.009 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.009 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.011 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * * * [progress]: simplifying candidates 1.023 * [simplify]: Simplifying using # : (expm1 (cbrt (/ (+ x 1.0) (- 1.0 x)))) (log1p (cbrt (/ (+ x 1.0) (- 1.0 x)))) (log (cbrt (/ (+ x 1.0) (- 1.0 x)))) (exp (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))) (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (sqrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (sqrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (cbrt (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x)))) (cbrt (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x)))) (cbrt (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x)))) (cbrt (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (cbrt (/ (cbrt (+ x 1.0)) (- 1.0 x))) (cbrt (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x)))) (cbrt (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x)))) (cbrt (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (cbrt (/ (cbrt (+ x 1.0)) (- 1.0 x))) (cbrt (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (cbrt (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x)))) (cbrt (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x)))) (cbrt (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x)))) (cbrt (/ (sqrt (+ x 1.0)) 1)) (cbrt (/ (sqrt (+ x 1.0)) (- 1.0 x))) (cbrt (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x)))) (cbrt (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x)))) (cbrt (/ (sqrt (+ x 1.0)) 1)) (cbrt (/ (sqrt (+ x 1.0)) (- 1.0 x))) (cbrt (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (cbrt (/ (+ x 1.0) (cbrt (- 1.0 x)))) (cbrt (/ 1 (sqrt (- 1.0 x)))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (cbrt (/ 1 1)) (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ 1 (+ (sqrt 1.0) (sqrt x)))) (cbrt (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x)))) (cbrt (/ 1 1)) (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (cbrt (/ (+ x 1.0) (cbrt (- 1.0 x)))) (cbrt (/ 1 (sqrt (- 1.0 x)))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (cbrt (/ 1 1)) (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ 1 (+ (sqrt 1.0) (sqrt x)))) (cbrt (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x)))) (cbrt (/ 1 1)) (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt 1) (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (+ x 1.0)) (cbrt (/ 1 (- 1.0 x))) (cbrt (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))) (cbrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (cbrt (/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x)) (cbrt (+ x 1.0)) (cbrt (- 1.0 x)) (* (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))) (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (sqrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (sqrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (- (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)) (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (- (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)) 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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)) (- (+ (* 0.8888888888888888 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.6666666666666666 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 0.6666666666666666 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (+ (* 0.6666666666666666 (* (pow -1 1/3) (/ 1 x))) (+ (* 0.2222222222222222 (* (pow -1 1/3) (/ 1 (pow x 2)))) (pow -1 1/3))) (+ (* 0.6666666666666666 (* (pow -1 1/3) (/ 1 x))) (+ (* 0.2222222222222222 (* (pow -1 1/3) (/ 1 (pow x 2)))) (pow -1 1/3))) (+ (* 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))) (+ (* 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))) (+ (* 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))) 1.030 * * [simplify]: iteration 0 : 340 enodes (cost 1317 ) 1.035 * * [simplify]: iteration 1 : 1083 enodes (cost 1253 ) 1.054 * * [simplify]: iteration 2 : 4461 enodes (cost 1233 ) 1.144 * * [simplify]: iteration 3 : 5001 enodes (cost 1226 ) 1.150 * [simplify]: Simplified to: (expm1 (cbrt (/ (+ x 1.0) (- 1.0 x)))) (log1p (cbrt (/ (+ x 1.0) (- 1.0 x)))) (log (cbrt (/ (+ x 1.0) (- 1.0 x)))) (exp (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt 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1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ 1.0 x)) (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)) (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x)) (* (- 1.0 x) (- x 1.0)) (fma (pow 1.0 1/3) (fma x 0.6666666666666666 1) (* (pow x 2) (- (* (pow 1.0 1/3) 0.8888888888888888) (* (pow (/ 1 (pow 1.0 5)) 1/3) 0.6666666666666666)))) (fma 0.2222222222222222 (/ (pow -1 1/3) (pow x 2)) (fma 0.6666666666666666 (/ (pow -1 1/3) x) (pow -1 1/3))) (fma 0.2222222222222222 (/ (pow -1 1/3) (pow x 2)) (fma 0.6666666666666666 (/ (pow -1 1/3) x) (pow -1 1/3))) (fma (fma x x x) 2.0 1.0) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (fma (fma x x x) 2.0 1.0) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (fma (fma x x x) 2.0 1.0) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) 1.152 * * * [progress]: adding candidates to table 1.575 * * [progress]: iteration 4 / 4 1.575 * * * [progress]: picking best candidate 1.576 * * * * [pick]: Picked # 1.576 * * * [progress]: localizing error 1.581 * * * [progress]: generating rewritten candidates 1.581 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.604 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.613 * * * [progress]: generating series expansions 1.613 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.613 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 1.613 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 1.613 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of 1.0 in x 1.613 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.613 * [taylor]: Taking taylor expansion of 1.0 in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 1.614 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.621 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 1.621 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 1.621 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 1.623 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.633 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 1.633 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.633 * [taylor]: Taking taylor expansion of 1.0 in x 1.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of 1.0 in x 1.634 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.634 * [taylor]: Taking taylor expansion of 1.0 in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.635 * [taylor]: Taking taylor expansion of x in x 1.635 * [taylor]: Taking taylor expansion of 1.0 in x 1.647 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.648 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 x)) in (x) around 0 1.648 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 1.648 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.648 * [taylor]: Taking taylor expansion of 1.0 in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 1.648 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.648 * [taylor]: Taking taylor expansion of 1.0 in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.653 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in (x) around 0 1.654 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.662 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in (x) around 0 1.662 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.663 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of 1.0 in x 1.670 * * * [progress]: simplifying candidates 1.671 * [simplify]: Simplifying using # : (expm1 (* (+ x 1.0) (/ 1 (- 1.0 x)))) (log1p (* (+ x 1.0) (/ 1 (- 1.0 x)))) (* (+ x 1.0) (/ 1 (- 1.0 x))) (+ (log (+ x 1.0)) (- (log (- 1.0 x)))) (+ (log (+ x 1.0)) (- 0 (log (- 1.0 x)))) (+ (log (+ x 1.0)) (- (log 1) (log (- 1.0 x)))) (+ (log (+ x 1.0)) (log (/ 1 (- 1.0 x)))) (log (* (+ x 1.0) (/ 1 (- 1.0 x)))) (exp (* (+ x 1.0) (/ 1 (- 1.0 x)))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (/ (* (* 1 1) 1) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (/ 1 (- 1.0 x)) (/ 1 (- 1.0 x))) (/ 1 (- 1.0 x)))) (* (cbrt (* (+ x 1.0) (/ 1 (- 1.0 x)))) (cbrt (* (+ x 1.0) (/ 1 (- 1.0 x))))) (cbrt (* (+ x 1.0) (/ 1 (- 1.0 x)))) (* (* (* (+ x 1.0) (/ 1 (- 1.0 x))) (* (+ x 1.0) (/ 1 (- 1.0 x)))) (* (+ x 1.0) (/ 1 (- 1.0 x)))) (sqrt (* (+ x 1.0) (/ 1 (- 1.0 x)))) (sqrt (* (+ x 1.0) (/ 1 (- 1.0 x)))) (* (+ (pow x 3) (pow 1.0 3)) 1) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x)) (* (- (* x x) (* 1.0 1.0)) 1) (* (- x 1.0) (- 1.0 x)) (* (sqrt (+ x 1.0)) (sqrt (/ 1 (- 1.0 x)))) (* (sqrt (+ x 1.0)) (sqrt (/ 1 (- 1.0 x)))) (* (sqrt (+ x 1.0)) (/ (sqrt 1) (sqrt (- 1.0 x)))) (* (sqrt (+ x 1.0)) (/ (sqrt 1) (sqrt (- 1.0 x)))) (* (sqrt (+ x 1.0)) (/ 1 (sqrt (- 1.0 x)))) (* (sqrt (+ x 1.0)) (/ 1 (sqrt (- 1.0 x)))) (* (+ x 1.0) (* (cbrt (/ 1 (- 1.0 x))) (cbrt (/ 1 (- 1.0 x))))) (* (+ x 1.0) (sqrt (/ 1 (- 1.0 x)))) (* (+ x 1.0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (* (+ x 1.0) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- 1.0 x)))) (* (+ x 1.0) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ x 1.0) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 1.0) (sqrt x)))) (* (+ x 1.0) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ x 1.0) (/ (sqrt 1) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (* (+ x 1.0) (/ (sqrt 1) (sqrt (- 1.0 x)))) (* (+ x 1.0) (/ (sqrt 1) 1)) (* (+ x 1.0) (/ (sqrt 1) (+ (sqrt 1.0) (sqrt x)))) (* (+ x 1.0) (/ (sqrt 1) 1)) (* (+ x 1.0) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (* (+ x 1.0) (/ 1 (sqrt (- 1.0 x)))) (* (+ x 1.0) (/ 1 1)) (* (+ x 1.0) (/ 1 (+ (sqrt 1.0) (sqrt x)))) (* (+ x 1.0) (/ 1 1)) (* (+ x 1.0) 1) (* (+ x 1.0) 1) (* (+ x 1.0) (/ 1 (- (pow 1.0 3) (pow x 3)))) (* (+ x 1.0) (/ 1 (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ x 1.0)) (/ 1 (- 1.0 x))) (* (sqrt (+ x 1.0)) (/ 1 (- 1.0 x))) (* (+ x 1.0) (/ 1 (- 1.0 x))) (* (+ x 1.0) (/ 1 (- 1.0 x))) (* (+ x 1.0) 1) (* (+ (pow x 3) (pow 1.0 3)) (/ 1 (- 1.0 x))) (* (- (* x x) (* 1.0 1.0)) (/ 1 (- 1.0 x))) (expm1 (/ 1 (- 1.0 x))) (log1p (/ 1 (- 1.0 x))) (- 1) (- (log (- 1.0 x))) (- 0 (log (- 1.0 x))) (- (log 1) (log (- 1.0 x))) (log (/ 1 (- 1.0 x))) (exp (/ 1 (- 1.0 x))) (/ (* (* 1 1) 1) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ 1 (- 1.0 x))) (cbrt (/ 1 (- 1.0 x)))) (cbrt (/ 1 (- 1.0 x))) (* (* (/ 1 (- 1.0 x)) (/ 1 (- 1.0 x))) (/ 1 (- 1.0 x))) (sqrt (/ 1 (- 1.0 x))) (sqrt (/ 1 (- 1.0 x))) (- 1) (- (- 1.0 x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt 1) (cbrt (- 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- 1.0 x))) (/ (cbrt 1) (sqrt (- 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- 1.0 x)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt 1) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- 1.0 x)) (/ (sqrt 1) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt 1) (cbrt (- 1.0 x))) (/ (sqrt 1) (sqrt (- 1.0 x))) (/ (sqrt 1) (sqrt (- 1.0 x))) (/ (sqrt 1) 1) (/ (sqrt 1) (- 1.0 x)) (/ (sqrt 1) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt 1) (- (sqrt 1.0) (sqrt x))) (/ (sqrt 1) 1) (/ (sqrt 1) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ 1 (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ 1 1) (/ 1 (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ 1 (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ 1 (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) 1) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ 1 (sqrt (- 1.0 x))) (/ 1 1) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (- 1.0 x) (cbrt 1)) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) 1) (/ 1 (- (pow 1.0 3) (pow x 3))) (/ 1 (- (* 1.0 1.0) (* x x))) (+ (* 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))) (+ (* 1.0 (pow x 2)) (+ (* 1.0 x) 1.0)) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))))) 1.677 * * [simplify]: iteration 0 : 370 enodes (cost 538 ) 1.684 * * [simplify]: iteration 1 : 1782 enodes (cost 467 ) 1.715 * * [simplify]: iteration 2 : 5001 enodes (cost 421 ) 1.718 * [simplify]: Simplified to: (expm1 (* (+ x 1.0) (/ 1 (- 1.0 x)))) (log1p (* (+ x 1.0) (/ 1 (- 1.0 x)))) (/ (+ x 1.0) (- 1.0 x)) (- (log (+ x 1.0)) (log (- 1.0 x))) (- (log (+ x 1.0)) (log (- 1.0 x))) (- (log (+ x 1.0)) (log (- 1.0 x))) (- (log (+ x 1.0)) (log (- 1.0 x))) (- (log (+ x 1.0)) (log (- 1.0 x))) (exp (* (+ x 1.0) (/ 1 (- 1.0 x)))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (* (cbrt (* (+ x 1.0) (/ 1 (- 1.0 x)))) (cbrt (* (+ x 1.0) (/ 1 (- 1.0 x))))) (cbrt (* (+ x 1.0) (/ 1 (- 1.0 x)))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (sqrt (* (+ x 1.0) (/ 1 (- 1.0 x)))) (sqrt (* (+ x 1.0) (/ 1 (- 1.0 x)))) (+ (pow x 3) (pow 1.0 3)) (* (fma 1.0 (- 1.0 x) (pow x 2)) (- 1.0 x)) (- (* x x) (* 1.0 1.0)) (* (- x 1.0) (- 1.0 x)) (* (sqrt (+ x 1.0)) (sqrt (/ 1 (- 1.0 x)))) (* (sqrt (+ x 1.0)) (sqrt (/ 1 (- 1.0 x)))) (/ (* (sqrt (+ x 1.0)) 1) (sqrt (- 1.0 x))) (/ (* (sqrt (+ x 1.0)) 1) (sqrt (- 1.0 x))) (/ (* (sqrt (+ x 1.0)) 1) (sqrt (- 1.0 x))) (/ (* (sqrt (+ x 1.0)) 1) (sqrt (- 1.0 x))) (* (+ x 1.0) (* (cbrt (/ 1 (- 1.0 x))) (cbrt (/ 1 (- 1.0 x))))) (* (+ x 1.0) (sqrt (/ 1 (- 1.0 x)))) (/ (+ 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) (/ (+ 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) (/ (+ 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) (+ x 1.0) (+ x 1.0) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ 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) (- 1.0 x)) (+ x 1.0) (/ (+ (pow x 3) (pow 1.0 3)) (- 1.0 x)) (/ (- (* x x) (* 1.0 1.0)) (- 1.0 x)) (expm1 (/ 1 (- 1.0 x))) (log1p (/ 1 (- 1.0 x))) (- 1) (log (/ 1 (- 1.0 x))) (log (/ 1 (- 1.0 x))) (log (/ 1 (- 1.0 x))) (log (/ 1 (- 1.0 x))) (exp (/ 1 (- 1.0 x))) (/ 1 (pow (- 1.0 x) 3)) (* (cbrt (/ 1 (- 1.0 x))) (cbrt (/ 1 (- 1.0 x)))) (cbrt (/ 1 (- 1.0 x))) (/ 1 (pow (- 1.0 x) 3)) (sqrt (/ 1 (- 1.0 x))) (sqrt (/ 1 (- 1.0 x))) (- 1) (- x 1.0) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ 1 (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) 1 (/ 1 (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ 1 (- (sqrt 1.0) (sqrt x))) 1 (/ 1 (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ 1 (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) 1 (/ 1 (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ 1 (- (sqrt 1.0) (sqrt x))) 1 (/ 1 (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ 1 (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) 1 (/ 1 (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ 1 (- (sqrt 1.0) (sqrt x))) 1 (/ 1 (- 1.0 x)) (/ 1 (- 1.0 x)) (- 1.0 x) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ 1 (sqrt (- 1.0 x))) 1 (/ 1 (+ (sqrt 1.0) (sqrt x))) 1 (- 1.0 x) (- 1.0 x) (- 1.0 x) (/ 1 (- (pow 1.0 3) (pow x 3))) (/ 1 (- (* 1.0 1.0) (* x x))) (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (fma 1.0 (pow x 2) (fma 1.0 x 1.0)) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 (pow x 3)) (/ 1 x))) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 (pow x 3)) (/ 1 x))) 1.718 * * * [progress]: adding candidates to table 1.855 * [progress]: [Phase 3 of 3] Extracting. 1.855 * * [regime]: Finding splitpoints for: (# # #) 1.856 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 1.856 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# # #) 1.866 * * * * [regimes]: Trying to branch on x from (# # #) 1.878 * * * [regime]: Found split indices: #