9.592 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ (+ x 1.0) (- 1.0 x)) 0.012 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) (- h1 h0)) 0.014 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.017 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.017 * [simplify]: Simplified to: (/ (+ x 1.0) (- 1.0 x)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.049 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.049 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.050 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.057 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 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 (- 1.0 (/ 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 0.058 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 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 0.058 * [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 0.059 * [taylor]: Taking taylor expansion of x in x 0.071 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.071 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * * * [progress]: simplifying candidates 0.082 * [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))) 0.083 * [simplify]: Sending expressions to egg_math: (expm1 (/ (+ h0 h1) (- h1 h0))) (log1p (/ (+ h0 h1) (- h1 h0))) (- (log (+ h0 h1)) (log (- h1 h0))) (log (/ (+ h0 h1) (- h1 h0))) (exp (/ (+ h0 h1) (- h1 h0))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (+ h0 h1) (- h1 h0))) (cbrt (/ (+ h0 h1) (- h1 h0)))) (cbrt (/ (+ h0 h1) (- h1 h0))) (* (* (/ (+ h0 h1) (- h1 h0)) (/ (+ h0 h1) (- h1 h0))) (/ (+ h0 h1) (- h1 h0))) (sqrt (/ (+ h0 h1) (- h1 h0))) (sqrt (/ (+ h0 h1) (- h1 h0))) (- (+ h0 h1)) (- (- h1 h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h0 h1)) (cbrt (- h1 h0))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (- h1 h0))) (/ (cbrt (+ h0 h1)) (sqrt (- h1 h0))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (- h1 h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h0 h1)) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (- h1 h0)) (/ (sqrt (+ h0 h1)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h0 h1)) (cbrt (- h1 h0))) (/ (sqrt (+ h0 h1)) (sqrt (- h1 h0))) (/ (sqrt (+ h0 h1)) (sqrt (- h1 h0))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (- h1 h0)) (/ (sqrt (+ h0 h1)) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h0 h1)) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (+ h0 h1)) (/ (+ h0 h1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ (+ h0 h1) 1) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) 1) (/ (- h1 h0) (cbrt (+ h0 h1))) (/ (- h1 h0) (sqrt (+ h0 h1))) (/ (- h1 h0) (+ h0 h1)) (/ (- h1 h0) (+ h0 h1)) (/ (+ h0 h1) (- (pow h1 3) (pow h0 3))) (/ (+ h0 h1) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h1 h0) (- h0 h1)) (+ (* h2 (pow h0 2)) (+ (* h2 h0) h1)) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h2 (/ 1 h0)) 1))) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h2 (/ 1 h0)) 1))) 0.086 * * [simplify]: iteration 0 : 214 enodes (cost 315 ) 0.090 * * [simplify]: iteration 1 : 711 enodes (cost 297 ) 0.102 * * [simplify]: iteration 2 : 2979 enodes (cost 293 ) 0.163 * * [simplify]: iteration 3 : 5001 enodes (cost 292 ) 0.165 * [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)) 0.166 * * * [progress]: adding candidates to table 0.241 * * [progress]: iteration 2 / 4 0.241 * * * [progress]: picking best candidate 0.245 * * * * [pick]: Picked # 0.245 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.279 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.316 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.316 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.316 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.316 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.318 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.324 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 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 0.324 * [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 0.326 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.335 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.335 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.346 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.347 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) 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 0.354 * [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 0.355 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.364 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.364 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 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 0.364 * [taylor]: Taking taylor expansion of 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 0.366 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 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 0.366 * [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 0.375 * * * [progress]: simplifying candidates 0.378 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (- 1.0 x) (+ x 1.0)))) (log1p (/ 1 (/ (- 1.0 x) (+ x 1.0)))) (- 1) (- (- (log (- 1.0 x)) (log (+ x 1.0)))) (- (log (/ (- 1.0 x) (+ x 1.0)))) (- 0 (- (log (- 1.0 x)) (log (+ x 1.0)))) (- 0 (log (/ (- 1.0 x) (+ x 1.0)))) (- (log 1) (- (log (- 1.0 x)) (log (+ x 1.0)))) (- (log 1) (log (/ (- 1.0 x) (+ x 1.0)))) (log (/ 1 (/ (- 1.0 x) (+ x 1.0)))) (exp (/ 1 (/ (- 1.0 x) (+ 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) 1) (* (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (/ 1 (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ 1 (/ (- 1.0 x) (+ x 1.0))))) (cbrt (/ 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) (+ x 1.0)))) (sqrt (/ 1 (/ (- 1.0 x) (+ x 1.0)))) (sqrt (/ 1 (/ (- 1.0 x) (+ x 1.0)))) (- 1) (- (/ (- 1.0 x) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0))))) (/ (cbrt 1) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ (cbrt 1) (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (cbrt 1) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ (cbrt 1) (/ (cbrt (- 1.0 x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ (cbrt 1) (/ (cbrt (- 1.0 x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (cbrt 1) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- 1.0 x)) 1)) (/ (cbrt 1) (/ (sqrt (- 1.0 x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- 1.0 x)) 1)) (/ (cbrt 1) (/ (sqrt (- 1.0 x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (cbrt 1) (/ (- 1.0 x) (cbrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ (- 1.0 x) (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (cbrt 1) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt 1.0) (sqrt x)) 1)) (/ (cbrt 1) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (sqrt 1.0) (sqrt x)) 1)) (/ (cbrt 1) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (cbrt 1) (/ (- 1.0 x) (cbrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ (- 1.0 x) (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (- 1.0 x)) (/ (cbrt 1) (/ 1 (+ x 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))) (/ (cbrt 1) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1.0 x) (- (* x x) (* 1.0 1.0)))) (/ (cbrt 1) (- x 1.0)) (/ (sqrt 1) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0))))) (/ (sqrt 1) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (/ (sqrt 1) (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ (sqrt 1) (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ (sqrt 1) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (sqrt 1) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (/ (sqrt 1) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ (sqrt 1) (/ (cbrt (- 1.0 x)) (+ x 1.0))) (/ (sqrt 1) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ (sqrt 1) (/ (cbrt (- 1.0 x)) (+ x 1.0))) (/ (sqrt 1) (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (sqrt 1) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0)))) (/ (sqrt 1) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ (sqrt (- 1.0 x)) 1)) (/ (sqrt 1) (/ (sqrt (- 1.0 x)) (+ x 1.0))) (/ (sqrt 1) (/ (sqrt (- 1.0 x)) 1)) (/ (sqrt 1) (/ (sqrt (- 1.0 x)) (+ x 1.0))) (/ (sqrt 1) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (sqrt 1) (/ (- 1.0 x) (cbrt (+ x 1.0)))) (/ (sqrt 1) (/ 1 (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ (- 1.0 x) (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (sqrt 1) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (sqrt 1) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0)))) (/ (sqrt 1) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ (+ (sqrt 1.0) (sqrt x)) 1)) (/ (sqrt 1) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (/ (sqrt 1) (/ (+ (sqrt 1.0) (sqrt x)) 1)) (/ (sqrt 1) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (/ (sqrt 1) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ (sqrt 1) (/ (- 1.0 x) (cbrt (+ x 1.0)))) (/ (sqrt 1) (/ 1 (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ (- 1.0 x) (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (- 1.0 x) (+ x 1.0))) (/ (sqrt 1) (- 1.0 x)) (/ (sqrt 1) (/ 1 (+ x 1.0))) (/ (sqrt 1) (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))) (/ (sqrt 1) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (/ (sqrt 1) (/ (- 1.0 x) (- (* x x) (* 1.0 1.0)))) (/ (sqrt 1) (- x 1.0)) (/ 1 (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0))))) (/ 1 (cbrt (/ (- 1.0 x) (+ x 1.0)))) (/ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ 1 (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (/ 1 (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0)))) (/ 1 (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ 1 (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ 1 (/ (cbrt (- 1.0 x)) (+ x 1.0))) (/ 1 (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ 1 (/ (cbrt (- 1.0 x)) (+ x 1.0))) (/ 1 (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ (sqrt (- 1.0 x)) (cbrt (+ 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)) 1)) (/ 1 (/ (sqrt (- 1.0 x)) (+ x 1.0))) (/ 1 (/ (sqrt (- 1.0 x)) 1)) (/ 1 (/ (sqrt (- 1.0 x)) (+ x 1.0))) (/ 1 (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ (- 1.0 x) (cbrt (+ x 1.0)))) (/ 1 (/ 1 (sqrt (+ x 1.0)))) (/ 1 (/ (- 1.0 x) (sqrt (+ x 1.0)))) (/ 1 (/ 1 1)) (/ 1 (/ (- 1.0 x) (+ x 1.0))) (/ 1 (/ 1 1)) (/ 1 (/ (- 1.0 x) (+ x 1.0))) (/ 1 (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0)))) (/ 1 (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (/ 1 (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (/ 1 (/ (+ (sqrt 1.0) (sqrt x)) 1)) (/ 1 (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (/ 1 (/ (+ (sqrt 1.0) (sqrt x)) 1)) (/ 1 (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (/ 1 (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ (- 1.0 x) (cbrt (+ x 1.0)))) (/ 1 (/ 1 (sqrt (+ x 1.0)))) (/ 1 (/ (- 1.0 x) (sqrt (+ x 1.0)))) (/ 1 (/ 1 1)) (/ 1 (/ (- 1.0 x) (+ x 1.0))) (/ 1 (/ 1 1)) (/ 1 (/ (- 1.0 x) (+ x 1.0))) (/ 1 1) (/ 1 (/ (- 1.0 x) (+ x 1.0))) (/ 1 (- 1.0 x)) (/ 1 (/ 1 (+ 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 (/ (- 1.0 x) (- (* x x) (* 1.0 1.0)))) (/ 1 (- x 1.0)) (/ 1 (/ (- 1.0 x) (+ x 1.0))) (/ (/ (- 1.0 x) (+ x 1.0)) 1) (/ 1 (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0))))) (/ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ 1 (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0)))) (/ 1 (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ 1 (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (/ 1 (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (/ 1 (/ (sqrt (- 1.0 x)) 1)) (/ 1 (/ (sqrt (- 1.0 x)) 1)) (/ 1 (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ 1 (sqrt (+ x 1.0)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (/ 1 (/ (+ (sqrt 1.0) (sqrt x)) 1)) (/ 1 (/ (+ (sqrt 1.0) (sqrt x)) 1)) (/ 1 (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (/ 1 (/ 1 (sqrt (+ x 1.0)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- 1.0 x)) (/ 1 (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))) (/ 1 (/ (- 1.0 x) (- (* x x) (* 1.0 1.0)))) (/ (/ (- 1.0 x) (+ x 1.0)) (cbrt 1)) (/ (/ (- 1.0 x) (+ x 1.0)) (sqrt 1)) (/ (/ (- 1.0 x) (+ x 1.0)) 1) (/ 1 (- 1.0 x)) (expm1 (/ (- 1.0 x) (+ x 1.0))) (log1p (/ (- 1.0 x) (+ x 1.0))) (- (log (- 1.0 x)) (log (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ x 1.0))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (* (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- (- 1.0 x)) (- (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ 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)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ 1 1) (/ (- 1.0 x) (+ x 1.0)) (/ 1 1) (/ (- 1.0 x) (+ x 1.0)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ 1 1) (/ (- 1.0 x) (+ x 1.0)) (/ 1 1) (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (/ (- 1.0 x) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ x 1.0) (+ 1.0 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))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.379 * [simplify]: Sending expressions to egg_math: (expm1 (/ 1 (/ (- h0 h1) (+ h1 h0)))) (log1p (/ 1 (/ (- h0 h1) (+ h1 h0)))) (- 1) (- (- (log (- h0 h1)) (log (+ h1 h0)))) (- (log (/ (- h0 h1) (+ h1 h0)))) (- 0 (- (log (- h0 h1)) (log (+ h1 h0)))) (- 0 (log (/ (- h0 h1) (+ h1 h0)))) (- (log 1) (- (log (- h0 h1)) (log (+ h1 h0)))) (- (log 1) (log (/ (- h0 h1) (+ h1 h0)))) (log (/ 1 (/ (- h0 h1) (+ h1 h0)))) (exp (/ 1 (/ (- h0 h1) (+ h1 h0)))) (/ (* (* 1 1) 1) (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)))) (/ (* (* 1 1) 1) (* (* (/ (- h0 h1) (+ h1 h0)) (/ (- h0 h1) (+ h1 h0))) (/ (- h0 h1) (+ h1 h0)))) (* (cbrt (/ 1 (/ (- h0 h1) (+ h1 h0)))) (cbrt (/ 1 (/ (- h0 h1) (+ h1 h0))))) (cbrt (/ 1 (/ (- h0 h1) (+ h1 h0)))) (* (* (/ 1 (/ (- h0 h1) (+ h1 h0))) (/ 1 (/ (- h0 h1) (+ h1 h0)))) (/ 1 (/ (- h0 h1) (+ h1 h0)))) (sqrt (/ 1 (/ (- h0 h1) (+ h1 h0)))) (sqrt (/ 1 (/ (- h0 h1) (+ h1 h0)))) (- 1) (- (/ (- h0 h1) (+ h1 h0))) (/ 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1.0 x)) (cbrt (+ x 1.0)))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ 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))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1 (/ (- 1.0 x) (cbrt (+ x 1.0)))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) 1 (/ (+ x 1.0) (- 1.0 x)) 1 (/ (+ x 1.0) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ 1 (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0)))) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ 1 (/ (- 1.0 x) (cbrt (+ x 1.0)))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) 1 (/ (+ x 1.0) (- 1.0 x)) 1 (/ (+ x 1.0) (- 1.0 x)) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (+ x 1.0) (/ 1 (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))) (/ 1 (/ (fma 1.0 (- 1.0 x) (pow x 2)) 1)) (/ (- (* x x) (* 1.0 1.0)) (- 1.0 x)) (/ 1 (- x 1.0)) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (/ 1 (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (/ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ x 1.0)) 1 1 (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ 1 (+ (sqrt 1.0) (sqrt x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ x 1.0)) 1 1 1 (/ 1 (- 1.0 x)) (/ 1 (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))) (/ (- (* x x) (* 1.0 1.0)) (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ 1 (- 1.0 x)) (expm1 (/ (- 1.0 x) (+ x 1.0))) (log1p (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- (- 1.0 x)) (- (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (- 1.0 x) (- 1.0 x) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (/ (- 1.0 x) (- (* x x) (* 1.0 1.0))) (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (+ x 1.0)) (* (+ x 1.0) (+ 1.0 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 (pow x 2) 2.0 (- 1.0 (* 2.0 x))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.439 * * * [progress]: adding candidates to table 0.631 * * [progress]: iteration 3 / 4 0.631 * * * [progress]: picking best candidate 0.634 * * * * [pick]: Picked # 0.635 * * * [progress]: localizing error 0.642 * * * [progress]: generating rewritten candidates 0.642 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.663 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.684 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.721 * * * [progress]: generating series expansions 0.721 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.721 * [approximate]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 3) in (x) around 0 0.721 * [taylor]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 3) in x 0.721 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.721 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (pow (/ (+ x 1.0) (- 1.0 x)) 3) in x 0.723 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.723 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.735 * [approximate]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) in x 0.735 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) 3) in x 0.736 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.736 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.753 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) in x 0.753 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 3) in x 0.755 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.773 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.773 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.773 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.774 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.781 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.781 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.781 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.781 * [taylor]: Taking taylor expansion of 1.0 in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.781 * [taylor]: Taking taylor expansion of 1.0 in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.782 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.782 * [taylor]: Taking taylor expansion of 1.0 in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.782 * [taylor]: Taking taylor expansion of 1.0 in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.792 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.792 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.793 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.793 * [taylor]: Taking taylor expansion of 1.0 in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.802 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.802 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.803 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of 1.0 in x 0.803 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.803 * [taylor]: Taking taylor expansion of 1.0 in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.809 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.809 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.809 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.811 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.811 * [taylor]: Taking taylor expansion of 1.0 in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.811 * [taylor]: Taking taylor expansion of 1.0 in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.820 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.820 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.820 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.820 * [taylor]: Taking taylor expansion of 1.0 in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * * * [progress]: simplifying candidates 0.833 * [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) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) 3) (pow (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) 3) (pow (/ (cbrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3) (pow (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) 3) (pow (/ (cbrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 3) (pow (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) 3) (pow (/ (sqrt (+ x 1.0)) (sqrt (- 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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))) 0.835 * [simplify]: Sending expressions to egg_math: (expm1 (pow (/ (+ h0 h1) (- h1 h0)) 3)) (log1p (pow (/ (+ h0 h1) (- h1 h0)) 3)) (* (- (log (+ h0 h1)) (log 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(- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (+ h0 h1)) (/ (+ h0 h1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ (+ h0 h1) 1) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) 1) (/ (- h1 h0) (cbrt (+ h0 h1))) (/ (- h1 h0) (sqrt (+ h0 h1))) (/ (- h1 h0) (+ h0 h1)) (/ (- h1 h0) (+ h0 h1)) (/ (+ h0 h1) (- (pow h1 3) (pow h0 3))) (/ (+ h0 h1) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h1 h0) (- h0 h1)) (+ (* h2 (pow h0 2)) (+ (* h3 h0) h1)) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h3 (/ 1 h0)) 1))) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h3 (/ 1 h0)) 1))) (+ (* h4 (pow h0 2)) (+ (* h4 h0) h1)) (- (+ (* h4 (/ 1 (pow h0 2))) (+ (* h4 (/ 1 h0)) 1))) (- (+ (* h4 (/ 1 (pow h0 2))) (+ (* h4 (/ 1 h0)) 1))) (+ (* h4 (pow h0 2)) (+ (* h4 h0) h1)) (- (+ (* h4 (/ 1 (pow h0 2))) (+ (* h4 (/ 1 h0)) 1))) (- (+ (* h4 (/ 1 (pow h0 2))) (+ (* h4 (/ 1 h0)) 1))) 0.843 * * [simplify]: iteration 0 : 571 enodes (cost 1492 ) 0.852 * * [simplify]: iteration 1 : 2500 enodes (cost 1382 ) 0.893 * * [simplify]: iteration 2 : 5001 enodes (cost 1362 ) 0.901 * [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 3) (cbrt 3))) (pow (/ (+ x 1.0) (- 1.0 x)) (sqrt 3)) (/ (+ x 1.0) (- 1.0 x)) (pow (/ (+ x 1.0) (- 1.0 x)) 2) (/ (+ x 1.0) (- 1.0 x)) (pow (/ (+ x 1.0) (- 1.0 x)) 3/2) (pow (/ (+ x 1.0) (- 1.0 x)) 3/2) (pow (/ (+ x 1.0) (- 1.0 x)) 2) (/ (+ x 1.0) (- 1.0 x)) (/ (* (+ x 1.0) (+ x 1.0)) (pow (sqrt (- 1.0 x)) 3)) (/ (+ x 1.0) (pow (sqrt (- 1.0 x)) 3)) (* (+ x 1.0) (+ x 1.0)) (/ (+ x 1.0) (pow (- 1.0 x) 3)) (/ (* (+ x 1.0) (+ x 1.0)) (pow (+ (sqrt 1.0) (sqrt x)) 3)) (/ (+ x 1.0) (pow (- (sqrt 1.0) (sqrt x)) 3)) (* (+ x 1.0) (+ x 1.0)) (/ (+ x 1.0) (pow (- 1.0 x) 3)) (/ (pow (sqrt (+ x 1.0)) 3) (* (- 1.0 x) (- 1.0 x))) (/ (pow (sqrt (+ x 1.0)) 3) (- 1.0 x)) (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (sqrt (+ x 1.0)) 3) (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3) (pow (sqrt (+ x 1.0)) 3) (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3) (/ 1 (* (- 1.0 x) (- 1.0 x))) (/ (pow (+ x 1.0) 3) (- 1.0 x)) (pow (/ 1 (sqrt (- 1.0 x))) 3) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) (/ 1 (* (- 1.0 x) (- 1.0 x))) (/ (pow (+ x 1.0) 3) (- 1.0 x)) (pow (/ 1 (sqrt (- 1.0 x))) 3) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (+ x 1.0) 3) (pow (/ 1 (- 1.0 x)) 3) (pow (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) 3) (pow (fma 1.0 1.0 (fma x x (* 1.0 x))) 3) (pow (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) 3) (pow (+ x 1.0) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 2) (log (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (exp (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (pow (/ (+ x 1.0) (- 1.0 x)) 2) (/ (+ x 1.0) (- 1.0 x)) (pow (pow (/ (+ x 1.0) (- 1.0 x)) 3) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 2) (/ (+ x 1.0) (- 1.0 x)) (pow (/ (+ x 1.0) (- 1.0 x)) 3/2) (pow (/ (+ x 1.0) (- 1.0 x)) 3/2) (pow (/ (+ x 1.0) (- 1.0 x)) 2) (/ (+ x 1.0) (- 1.0 x)) (/ (* (+ x 1.0) (+ x 1.0)) (pow (sqrt (- 1.0 x)) 3)) (/ (+ x 1.0) (pow (sqrt (- 1.0 x)) 3)) (* (+ x 1.0) (+ x 1.0)) (/ (+ x 1.0) (pow (- 1.0 x) 3)) (/ (* (+ x 1.0) (+ x 1.0)) (pow (+ (sqrt 1.0) (sqrt x)) 3)) (/ (+ x 1.0) (pow (- (sqrt 1.0) (sqrt x)) 3)) (* (+ x 1.0) (+ x 1.0)) (/ (+ x 1.0) (pow (- 1.0 x) 3)) (/ (pow (sqrt (+ x 1.0)) 3) (* (- 1.0 x) (- 1.0 x))) (/ (pow (sqrt (+ x 1.0)) 3) (- 1.0 x)) (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) 3) (pow (sqrt (+ x 1.0)) 3) (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3) (pow (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) 3) (pow (sqrt (+ x 1.0)) 3) (pow (/ (sqrt (+ x 1.0)) (- 1.0 x)) 3) (/ 1 (* (- 1.0 x) (- 1.0 x))) (/ (pow (+ x 1.0) 3) (- 1.0 x)) (pow (/ 1 (sqrt (- 1.0 x))) 3) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) (/ 1 (* (- 1.0 x) (- 1.0 x))) (/ (pow (+ x 1.0) 3) (- 1.0 x)) (pow (/ 1 (sqrt (- 1.0 x))) 3) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (/ 1 (+ (sqrt 1.0) (sqrt x))) 3) (pow (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) 1 (pow (/ (+ x 1.0) (- 1.0 x)) 3) (pow (+ x 1.0) 3) (pow (/ 1 (- 1.0 x)) 3) (pow (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) 3) (pow (fma 1.0 1.0 (fma x x (* 1.0 x))) 3) (pow (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) 3) (pow (+ x 1.0) 3) (pow (+ x 1.0) 3) (pow (- 1.0 x) 3) (pow (/ (+ x 1.0) (- 1.0 x)) 2) (sqrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (sqrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)) (pow (/ (+ x 1.0) (- 1.0 x)) 3/2) (pow (/ (+ x 1.0) (- 1.0 x)) 3/2) (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ 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))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ 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 (/ (+ 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)) (/ (+ 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)))) (cbrt (/ (+ 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))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ 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 (/ (+ 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)) 0.905 * * * [progress]: adding candidates to table 1.151 * * [progress]: iteration 4 / 4 1.151 * * * [progress]: picking best candidate 1.155 * * * * [pick]: Picked # 1.155 * * * [progress]: localizing error 1.163 * * * [progress]: generating rewritten candidates 1.163 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.163 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.188 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.191 * * * [progress]: generating series expansions 1.191 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.191 * [approximate]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in (x) around 0 1.191 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 1.192 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 1.192 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 1.192 * [taylor]: Taking taylor expansion of 1 in x 1.192 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 1.192 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 1.194 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 1.194 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 1.194 * [taylor]: Taking taylor expansion of 1 in x 1.194 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 1.194 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.213 * [approximate]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in (x) around 0 1.213 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 1.213 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1.213 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 1.213 * [taylor]: Taking taylor expansion of 1 in x 1.213 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 1.213 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 1.219 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1.219 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 1.219 * [taylor]: Taking taylor expansion of 1 in x 1.219 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 1.219 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.253 * [approximate]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.253 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.253 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1.253 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.253 * [taylor]: Taking taylor expansion of 1 in x 1.253 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.259 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1.259 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.259 * [taylor]: Taking taylor expansion of 1 in x 1.259 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.290 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 1.290 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 1.290 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.291 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 1.292 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of 1.0 in x 1.292 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.292 * [taylor]: Taking taylor expansion of 1.0 in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.298 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 1.298 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 1.298 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 1.299 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.300 * [taylor]: Taking taylor expansion of 1.0 in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.309 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 1.309 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.322 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.322 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) in (x) around 0 1.322 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 1.322 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) 1) 1.322 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 1.322 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 1.322 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 1.322 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 1.323 * [taylor]: Taking taylor expansion of 1 in x 1.323 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 1.323 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of 1 in x 1.324 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 1.325 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) 1) 1.325 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 1.325 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 1.325 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 1.325 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 1.325 * [taylor]: Taking taylor expansion of 1 in x 1.325 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 1.325 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of 1 in x 1.350 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in (x) around 0 1.350 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 1.350 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1) 1.351 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 1.351 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 1.351 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1.351 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 1.351 * [taylor]: Taking taylor expansion of 1 in x 1.351 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 1.351 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.351 * [taylor]: Taking taylor expansion of 1.0 in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.351 * [taylor]: Taking taylor expansion of 1.0 in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of 1 in x 1.358 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 1.358 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1) 1.358 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 1.358 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 1.358 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1.358 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 1.358 * [taylor]: Taking taylor expansion of 1 in x 1.358 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of 1 in x 1.402 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.402 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.402 * [taylor]: Rewrote expression to (- (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1) 1.402 * [taylor]: Taking taylor expansion of (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.402 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.402 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1.402 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.402 * [taylor]: Taking taylor expansion of 1 in x 1.402 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of 1 in x 1.408 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.408 * [taylor]: Rewrote expression to (- (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1) 1.408 * [taylor]: Taking taylor expansion of (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.408 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.409 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1.409 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.409 * [taylor]: Taking taylor expansion of 1 in x 1.409 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [taylor]: Taking taylor expansion of 1 in x 1.451 * * * [progress]: simplifying candidates 1.452 * [simplify]: Simplifying using # : (+ 1 (/ (+ x 1.0) (- 1.0 x))) (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) (log1p (log1p (/ (+ x 1.0) (- 1.0 x)))) (log (log1p (/ (+ x 1.0) (- 1.0 x)))) (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) (* (cbrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (cbrt (log1p (/ (+ x 1.0) (- 1.0 x))))) (cbrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (* (* (log1p (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x)))) (log1p (/ (+ x 1.0) (- 1.0 x)))) (sqrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (sqrt (log1p (/ (+ 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)) (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) (expm1 (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (log1p (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (log (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (exp (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (* (cbrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (cbrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))))) (cbrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (* (* (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (sqrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (sqrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (+ (log 2.0) (+ (* 0.5 (pow x 2)) (* 1.0 x))) (+ (log (- 2.0)) (+ (* 0.5 (/ 1 (pow x 2))) (+ (log (/ 1 x)) (* 1.0 (/ 1 x))))) (- (+ (log 2.0) (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) (log (/ -1 x))))) (* 2.0 (/ 1 (* (pow x 2) (pow 2.0 2))))) (+ (* 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)) (- (+ (exp (+ (log (- 2.0)) (log (/ 1 x)))) (+ (* 1.0 (/ (exp (+ (log (- 2.0)) (log (/ 1 x)))) (pow x 2))) (* 1.0 (/ (exp (+ (log (- 2.0)) (log (/ 1 x)))) x)))) 1) (- (+ (* 1.5 (/ (exp (+ (log 2.0) (log (/ -1 x)))) (pow x 2))) (+ (* 1.0 (/ (exp (+ (log 2.0) (log (/ -1 x)))) x)) (exp (+ (log 2.0) (log (/ -1 x)))))) (+ 1 (* 2.0 (/ (exp (+ (log 2.0) (log (/ -1 x)))) (* (pow x 2) (pow 2.0 2)))))) 1.453 * [simplify]: Sending expressions to egg_math: (+ 1 (/ (+ h0 h1) (- h1 h0))) (expm1 (log1p (/ (+ h0 h1) (- h1 h0)))) (log1p (log1p (/ (+ h0 h1) (- h1 h0)))) (log (log1p (/ (+ h0 h1) (- h1 h0)))) (exp (log1p (/ (+ h0 h1) (- h1 h0)))) (* (cbrt (log1p (/ (+ h0 h1) (- h1 h0)))) (cbrt (log1p (/ (+ h0 h1) (- h1 h0))))) (cbrt (log1p (/ (+ h0 h1) (- h1 h0)))) (* (* (log1p (/ (+ h0 h1) (- h1 h0))) (log1p (/ (+ h0 h1) (- h1 h0)))) (log1p (/ (+ h0 h1) (- h1 h0)))) (sqrt (log1p (/ (+ h0 h1) (- h1 h0)))) (sqrt (log1p (/ (+ h0 h1) (- h1 h0)))) (expm1 (/ (+ h0 h1) (- h1 h0))) (log1p (/ (+ h0 h1) (- h1 h0))) (- (log (+ h0 h1)) (log (- h1 h0))) (log (/ (+ h0 h1) (- h1 h0))) (exp (/ (+ h0 h1) (- h1 h0))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (+ h0 h1) (- h1 h0))) (cbrt (/ (+ h0 h1) (- h1 h0)))) (cbrt (/ (+ h0 h1) (- h1 h0))) (* (* (/ (+ h0 h1) (- h1 h0)) (/ (+ h0 h1) (- h1 h0))) (/ (+ h0 h1) (- h1 h0))) (sqrt (/ (+ h0 h1) (- h1 h0))) (sqrt (/ (+ h0 h1) (- h1 h0))) (- (+ h0 h1)) (- (- h1 h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h0 h1)) (cbrt (- h1 h0))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (- h1 h0))) (/ (cbrt (+ h0 h1)) (sqrt (- h1 h0))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (- h1 h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h0 h1)) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (- h1 h0)) (/ (sqrt (+ h0 h1)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h0 h1)) (cbrt (- h1 h0))) (/ (sqrt (+ h0 h1)) (sqrt (- h1 h0))) (/ (sqrt (+ h0 h1)) (sqrt (- h1 h0))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (- h1 h0)) (/ (sqrt (+ h0 h1)) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h0 h1)) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (+ h0 h1) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (+ h0 h1)) (/ (+ h0 h1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h0 h1) (sqrt (- h1 h0))) (/ (+ h0 h1) 1) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h0))) (/ (+ h0 h1) 1) (/ (- h1 h0) (cbrt (+ h0 h1))) (/ (- h1 h0) (sqrt (+ h0 h1))) (/ (- h1 h0) (+ h0 h1)) (/ (- h1 h0) (+ h0 h1)) (/ (+ h0 h1) (- (pow h1 3) (pow h0 3))) (/ (+ h0 h1) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h1 h0) (- h0 h1)) (exp (log1p (/ (+ h0 h1) (- h1 h0)))) (expm1 (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (log1p (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (log (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (exp (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (* (cbrt (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (cbrt (expm1 (log1p (/ (+ h0 h1) (- h1 h0)))))) (cbrt (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (* (* (expm1 (log1p (/ (+ h0 h1) (- h1 h0)))) (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (sqrt (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (sqrt (expm1 (log1p (/ (+ h0 h1) (- h1 h0))))) (+ (log h2) (+ (* h3 (pow h0 2)) (* h1 h0))) (+ (log (- h2)) (+ (* h3 (/ 1 (pow h0 2))) (+ (log (/ 1 h0)) (* h1 (/ 1 h0))))) (- (+ (log h2) (+ (* h1 (/ 1 (pow h0 2))) (+ (* h1 (/ 1 h0)) (log (/ -1 h0))))) (* h2 (/ 1 (* (pow h0 2) (pow h2 2))))) (+ (* h2 (pow h0 2)) (+ (* h2 h0) h1)) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h2 (/ 1 h0)) 1))) (- (+ (* h2 (/ 1 (pow h0 2))) (+ (* h2 (/ 1 h0)) 1))) (+ (* h2 (pow h0 2)) (+ (* h2 h0) h1)) (- (+ (exp (+ (log (- h2)) (log (/ 1 h0)))) (+ (* h1 (/ (exp (+ (log (- h2)) (log (/ 1 h0)))) (pow h0 2))) (* h1 (/ (exp (+ (log (- h2)) (log (/ 1 h0)))) h0)))) 1) (- (+ (* h4 (/ (exp (+ (log h2) (log (/ -1 h0)))) (pow h0 2))) (+ (* h1 (/ (exp (+ (log h2) (log (/ -1 h0)))) h0)) (exp (+ (log h2) (log (/ -1 h0)))))) (+ 1 (* h2 (/ (exp (+ (log h2) (log (/ -1 h0)))) (* (pow h0 2) (pow h2 2)))))) 1.458 * * [simplify]: iteration 0 : 378 enodes (cost 521 ) 1.464 * * [simplify]: iteration 1 : 1270 enodes (cost 479 ) 1.485 * * [simplify]: iteration 2 : 5001 enodes (cost 451 ) 1.488 * [simplify]: Simplified to: (+ 1 (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (log1p (log1p (/ (+ x 1.0) (- 1.0 x)))) (log (log1p (/ (+ x 1.0) (- 1.0 x)))) (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) (* (cbrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (cbrt (log1p (/ (+ x 1.0) (- 1.0 x))))) (cbrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3) (sqrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (sqrt (log1p (/ (+ 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))) (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)) (exp (log1p (/ (+ 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))) (exp (/ (+ 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))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (+ (fma 0.5 (pow x 2) (* 1.0 x)) (log 2.0)) (+ (+ (log (- 2.0)) (/ 1.0 x)) (- (/ (/ 0.5 x) x) (log x))) (+ (+ (log 2.0) (fma 1.0 (/ 1 x) (log (/ -1 x)))) (* (/ 1 (pow x 2)) (- 1.0 (/ 2.0 (pow 2.0 2))))) (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) (/ x (/ 1 x))) (+ (/ 1.0 x) 1.0)) (- 1 (- (* 2.0 (/ 1 x))))) (+ (* (/ -1 x) 2.0) (- (* (/ 2.0 (/ x (/ -1 x))) (+ (/ 1.5 x) 1.0)) (fma 2.0 (* (/ 2.0 (pow 2.0 2)) (/ (/ -1 x) (pow x 2))) 1))) 1.488 * * * [progress]: adding candidates to table 1.644 * [progress]: [Phase 3 of 3] Extracting. 1.644 * * [regime]: Finding splitpoints for: (# # #) 1.645 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 1.645 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# # #) 1.656 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# #) 1.665 * * * * [regimes]: Trying to branch on x from (# # #) 1.677 * * * [regime]: Found split indices: #