13.750 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) 0.018 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 12 enodes (cost 4 ) 0.021 * * [simplify]: iteration 2 : 12 enodes (cost 4 ) 0.021 * [simplify]: Simplified to: (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.044 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.050 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in (x) around 0 0.051 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.051 * [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 0.052 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.052 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.065 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.065 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.065 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.066 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.066 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.087 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in (x) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.087 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.088 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.111 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.111 * [approximate]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in (x) around 0 0.111 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [approximate]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.126 * [approximate]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.136 * * * [progress]: simplifying candidates 0.137 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 (+ x 1.0))) (exp (/ 1.0 x))) (log (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (exp (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (* (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)))) (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (* (* (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x) (- (pow (/ 1.0 (+ x 1.0)) 3) (pow (/ 1.0 x) 3)) (+ (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (+ (* (/ 1.0 x) (/ 1.0 x)) (* (/ 1.0 (+ x 1.0)) (/ 1.0 x)))) (- (/ 1.0 x)) (- (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (* (/ 1.0 x) (/ 1.0 x))) (+ (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (+ (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 x))) (- (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 x))) (+ (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ 1.0 x))) (- (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ 1.0 x))) (+ (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (/ (cbrt 1.0) (+ x 1.0)) (/ (cbrt 1.0) x)) (- (/ (cbrt 1.0) (+ x 1.0)) (/ (cbrt 1.0) x)) (- (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) x)) (- (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1 (+ x 1.0)) (/ 1 x)) (- (/ 1.0 x)) (- (log 1.0) (log (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (exp (/ 1.0 (+ x 1.0))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (* (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- 1.0) (- (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ x 1.0))) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 1) (/ 1.0 1) (/ (+ x 1.0) (cbrt 1.0)) (/ (+ x 1.0) (sqrt 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 0.146 * * [simplify]: iteration 0 : 266 enodes (cost 392 ) 0.151 * * [simplify]: iteration 1 : 898 enodes (cost 369 ) 0.167 * * [simplify]: iteration 2 : 4185 enodes (cost 367 ) 0.291 * * [simplify]: iteration 3 : 5001 enodes (cost 367 ) 0.293 * [simplify]: Simplified to: (exp (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (log (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (exp (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (* (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)))) (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (pow (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) 3) (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x) (- (pow (/ 1.0 (+ x 1.0)) 3) (pow (/ 1.0 x) 3)) (+ (* (/ 1.0 (+ x 1.0)) (+ (/ 1.0 x) (/ 1.0 (+ x 1.0)))) (* (/ 1.0 x) (/ 1.0 x))) (- (/ 1.0 x)) (- (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (* (/ 1.0 x) (/ 1.0 x))) (+ (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (+ (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 x))) (- (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 x))) (+ (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ 1.0 x))) (- (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ 1.0 x))) (+ (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (/ (cbrt 1.0) (+ x 1.0)) (/ (cbrt 1.0) x)) (- (/ (cbrt 1.0) (+ x 1.0)) (/ (cbrt 1.0) x)) (- (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) x)) (- (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1 (+ x 1.0)) (/ 1 x)) (- (/ 1.0 x)) (log (/ 1.0 (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (exp (/ 1.0 (+ x 1.0))) (pow (/ 1.0 (+ x 1.0)) 3) (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (pow (/ 1.0 (+ x 1.0)) 3) (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- 1.0) (- (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ x 1.0))) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ x 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt 1.0) (/ (sqrt 1.0) (+ x 1.0)) (sqrt 1.0) (/ (sqrt 1.0) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))) 1 (/ 1.0 (+ x 1.0)) 1 (/ 1.0 (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) 1.0 1.0 (/ (+ x 1.0) (cbrt 1.0)) (/ (+ x 1.0) (sqrt 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0 (* 1.0 (+ x (/ 1 x)))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (- (+ (pow x 2) 1) x)) (* 1.0 (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (* 1.0 (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) 0.294 * * * [progress]: adding candidates to table 0.394 * * [progress]: iteration 2 / 4 0.394 * * * [progress]: picking best candidate 0.399 * * * * [pick]: Picked # 0.399 * * * [progress]: localizing error 0.405 * * * [progress]: generating rewritten candidates 0.405 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.414 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.426 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.434 * * * [progress]: generating series expansions 0.434 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.434 * [approximate]: Taking taylor expansion of (- 1.0) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [approximate]: Taking taylor expansion of (- 1.0) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [approximate]: Taking taylor expansion of (- 1.0) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.441 * [approximate]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.441 * [taylor]: Taking taylor expansion of -1.0 in x 0.441 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.443 * [taylor]: Taking taylor expansion of -1.0 in x 0.443 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [approximate]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.452 * [taylor]: Taking taylor expansion of -1.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.453 * [taylor]: Taking taylor expansion of -1.0 in x 0.453 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.463 * [approximate]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in (x) around 0 0.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.476 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.476 * [approximate]: Taking taylor expansion of (* x (+ x 1.0)) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.485 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.486 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.502 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 0.503 * [taylor]: Taking taylor expansion of -1 in x 0.503 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.522 * * * [progress]: simplifying candidates 0.523 * [simplify]: Simplifying using # : (/ (exp x) (* (exp x) (exp 1.0))) (/ (exp x) (exp (+ x 1.0))) (log (- x (+ x 1.0))) (exp (- x (+ x 1.0))) (* (cbrt (- x (+ x 1.0))) (cbrt (- x (+ x 1.0)))) (cbrt (- x (+ x 1.0))) (* (* (- x (+ x 1.0)) (- x (+ x 1.0))) (- x (+ x 1.0))) (sqrt (- x (+ x 1.0))) (sqrt (- x (+ x 1.0))) (- (pow x 3) (pow (+ x 1.0) 3)) (+ (* x x) (+ (* (+ x 1.0) (+ x 1.0)) (* x (+ x 1.0)))) (- (+ x 1.0)) (- (* x x) (* (+ x 1.0) (+ x 1.0))) (+ x (+ x 1.0)) (+ (sqrt x) (sqrt (+ x 1.0))) (- (sqrt x) (sqrt (+ x 1.0))) (- x (+ x 1.0)) (- x (+ x 1.0)) (- x x) (- (+ x 1.0)) (- (+ (log 1.0) (log (- x (+ x 1.0)))) (+ (log (+ x 1.0)) (log x))) (- (+ (log 1.0) (log (- x (+ x 1.0)))) (log (* (+ x 1.0) x))) (- (log (* 1.0 (- x (+ x 1.0)))) (+ (log (+ x 1.0)) (log x))) (- (log (* 1.0 (- x (+ x 1.0)))) (log (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (exp (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (- x (+ x 1.0)) (- x (+ x 1.0))) (- x (+ x 1.0)))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (- x (+ x 1.0)) (- x (+ x 1.0))) (- x (+ x 1.0)))) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x))) (/ (* (* (* 1.0 (- x (+ x 1.0))) (* 1.0 (- x (+ x 1.0)))) (* 1.0 (- x (+ x 1.0)))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x))) (/ (* (* (* 1.0 (- x (+ x 1.0))) (* 1.0 (- x (+ x 1.0)))) (* 1.0 (- x (+ x 1.0)))) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x))) (* (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (* (* (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x)) (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (- (* 1.0 (- x (+ x 1.0)))) (- (* (+ x 1.0) x)) (/ 1.0 (+ x 1.0)) (/ (- x (+ x 1.0)) x) (/ 1 (* (+ x 1.0) x)) (/ (* (+ x 1.0) x) (* 1.0 (- x (+ x 1.0)))) (/ (* 1.0 (- x (+ x 1.0))) (+ x 1.0)) (/ (* (+ x 1.0) x) (- x (+ x 1.0))) (/ (* 1.0 (- x (+ x 1.0))) (* (+ (pow x 3) (pow 1.0 3)) x)) (/ (* 1.0 (- x (+ x 1.0))) (* (- (* x x) (* 1.0 1.0)) x)) (* (* (+ x 1.0) x) (+ (* x x) (+ (* (+ x 1.0) (+ x 1.0)) (* x (+ x 1.0))))) (* (* (+ x 1.0) x) (+ x (+ x 1.0))) (* (+ x 1.0) x) (+ (log (+ x 1.0)) (log x)) (log (* (+ x 1.0) x)) (exp (* (+ x 1.0) x)) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x)) (* (cbrt (* (+ x 1.0) x)) (cbrt (* (+ x 1.0) x))) (cbrt (* (+ x 1.0) x)) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (+ x 1.0) (* (cbrt x) (cbrt x))) (* (+ x 1.0) (sqrt x)) (* (+ x 1.0) 1) (* (cbrt (+ x 1.0)) x) (* (sqrt (+ x 1.0)) x) (* (+ x 1.0) x) (* (+ x 1.0) x) (* (+ (pow x 3) (pow 1.0 3)) x) (* (- (* x x) (* 1.0 1.0)) x) (- 1.0) (- 1.0) (- 1.0) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (+ (pow x 2) (* 1.0 x)) (+ (pow x 2) (* 1.0 x)) (+ (pow x 2) (* 1.0 x)) 0.528 * * [simplify]: iteration 0 : 345 enodes (cost 395 ) 0.536 * * [simplify]: iteration 1 : 2045 enodes (cost 325 ) 0.575 * * [simplify]: iteration 2 : 5003 enodes (cost 316 ) 0.577 * [simplify]: Simplified to: (/ 1 (exp 1.0)) (/ 1 (exp 1.0)) (log (- x (+ x 1.0))) (/ 1 (exp 1.0)) (* (cbrt (- x (+ x 1.0))) (cbrt (- x (+ x 1.0)))) (cbrt (- x (+ x 1.0))) (pow (- 0 1.0) 3) (sqrt (- x (+ x 1.0))) (sqrt (- x (+ x 1.0))) (- (pow x 3) (pow (+ x 1.0) 3)) (+ (* (+ x 1.0) (+ (+ x 1.0) x)) (pow x 2)) (- (+ x 1.0)) (* (- 0 1.0) (+ x (+ x 1.0))) (+ x (+ x 1.0)) (+ (sqrt x) (sqrt (+ x 1.0))) (- (sqrt x) (sqrt (+ x 1.0))) (- 0 1.0) (- 0 1.0) 0 (- (+ x 1.0)) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (pow (exp (/ (- 0 1.0) (+ x 1.0))) (/ 1.0 x)) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (* (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (pow (* (/ (- 0 1.0) (+ x 1.0)) (/ 1.0 x)) 3) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (* 1.0 1.0) (- (* (+ x 1.0) x)) (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x) (/ 1 (* (+ x 1.0) x)) (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)) (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) (/ x (/ (- 0 1.0) (+ x 1.0))) (/ 1.0 (/ (* (+ (pow x 3) (pow 1.0 3)) x) (- 0 1.0))) (/ 1.0 (/ (* (- (* x x) (* 1.0 1.0)) x) (- 0 1.0))) (* (+ (* (+ x 1.0) (+ (+ x 1.0) x)) (pow x 2)) (* x (+ x 1.0))) (* (* (+ x 1.0) x) (+ x (+ x 1.0))) (* x (+ x 1.0)) (log (* (+ x 1.0) x)) (log (* (+ x 1.0) x)) (exp (* (+ x 1.0) x)) (pow (* x (+ x 1.0)) 3) (* (cbrt (* (+ x 1.0) x)) (cbrt (* (+ x 1.0) x))) (cbrt (* (+ x 1.0) x)) (pow (* x (+ x 1.0)) 3) (sqrt (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (+ x 1.0) (* (cbrt x) (cbrt x))) (* (+ x 1.0) (sqrt x)) (+ x 1.0) (* (cbrt (+ x 1.0)) x) (* (sqrt (+ x 1.0)) x) (* x (+ x 1.0)) (* x (+ x 1.0)) (* (+ (pow x 3) (pow 1.0 3)) x) (* (- (* x x) (* 1.0 1.0)) x) (- 0 1.0) (- 0 1.0) (- 0 1.0) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* x (+ x 1.0)) (* x (+ x 1.0)) (* x (+ x 1.0)) 0.578 * * * [progress]: adding candidates to table 0.665 * * [progress]: iteration 3 / 4 0.665 * * * [progress]: picking best candidate 0.669 * * * * [pick]: Picked # 0.669 * * * [progress]: localizing error 0.675 * * * [progress]: generating rewritten candidates 0.675 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.695 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.704 * * * [progress]: generating series expansions 0.704 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.705 * [approximate]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in (x) around 0 0.705 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.705 * [taylor]: Taking taylor expansion of -1.0 in x 0.705 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.707 * [taylor]: Taking taylor expansion of -1.0 in x 0.707 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [approximate]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.716 * [taylor]: Taking taylor expansion of -1.0 in x 0.716 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.717 * [taylor]: Taking taylor expansion of -1.0 in x 0.717 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.728 * [approximate]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in (x) around 0 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.741 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.741 * [approximate]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [approximate]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.756 * [approximate]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in (x) around 0 0.756 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.772 * * * [progress]: simplifying candidates 0.773 * [simplify]: Simplifying using # : (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (+ (- (log 1.0) (log (+ x 1.0))) (- (log (- 0 1.0)) (log x))) (+ (- (log 1.0) (log (+ x 1.0))) (log (/ (- 0 1.0) x))) (+ (log (/ 1.0 (+ x 1.0))) (- (log (- 0 1.0)) (log x))) (+ (log (/ 1.0 (+ x 1.0))) (log (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (exp (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (/ (* (* (- 0 1.0) (- 0 1.0)) (- 0 1.0)) (* (* x x) x))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (* (/ (- 0 1.0) x) (/ (- 0 1.0) x)) (/ (- 0 1.0) x))) (* (* (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (/ 1.0 (+ x 1.0))) (/ (* (* (- 0 1.0) (- 0 1.0)) (- 0 1.0)) (* (* x x) x))) (* (* (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (/ 1.0 (+ x 1.0))) (* (* (/ (- 0 1.0) x) (/ (- 0 1.0) x)) (/ (- 0 1.0) x))) (* (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)))) (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* (* (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (sqrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (sqrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* 1.0 (- 0 1.0)) (* (+ x 1.0) x) (* (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (* (/ 1.0 (+ x 1.0)) (* (cbrt (/ (- 0 1.0) x)) (cbrt (/ (- 0 1.0) x)))) (* (/ 1.0 (+ x 1.0)) (sqrt (/ (- 0 1.0) x))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) 1)) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) 1)) (* (/ 1.0 (+ x 1.0)) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ 1 (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ 1 1)) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) 1)) (* (/ 1.0 (+ x 1.0)) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ 1 (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ 1 1)) (* (/ 1.0 (+ x 1.0)) 1) (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) (* (cbrt (/ 1.0 (+ x 1.0))) (/ (- 0 1.0) x)) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ 1.0 (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1 (+ x 1.0)) (/ (- 0 1.0) x)) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (/ (- 0 1.0) x)) (* (- x 1.0) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) (* 1.0 (/ (- 0 1.0) x)) (- (log 1.0) (log (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (exp (/ 1.0 (+ x 1.0))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (* (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- 1.0) (- (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ x 1.0))) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 1) (/ 1.0 1) (/ (+ x 1.0) (cbrt 1.0)) (/ (+ x 1.0) (sqrt 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 0.780 * * [simplify]: iteration 0 : 491 enodes (cost 665 ) 0.790 * * [simplify]: iteration 1 : 2424 enodes (cost 595 ) 0.826 * * [simplify]: iteration 2 : 5002 enodes (cost 595 ) 0.830 * [simplify]: Simplified to: (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (log (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (exp (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (* (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)))) (cbrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (pow (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) 3) (sqrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (sqrt (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))) (* 1.0 (- 0 1.0)) (* (+ x 1.0) x) (* (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ (- 0 1.0) x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt (- 0 1.0)) (sqrt x))) (* (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (* (/ 1.0 (+ x 1.0)) (* (cbrt (/ (- 0 1.0) x)) (cbrt (/ (- 0 1.0) x)))) (* (/ 1.0 (+ x 1.0)) (sqrt (/ (- 0 1.0) x))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))) (sqrt x))) (/ (* 1.0 (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0)))) (+ x 1.0)) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (sqrt (- 0 1.0)) (sqrt x))) (/ (* 1.0 (sqrt (- 0 1.0))) (+ x 1.0)) (/ (/ 1.0 (+ x 1.0)) (* (cbrt x) (cbrt x))) (/ (/ 1.0 (+ x 1.0)) (sqrt x)) (/ 1.0 (+ x 1.0)) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) (* (cbrt x) (cbrt x)))) (* (/ 1.0 (+ x 1.0)) (/ (+ (sqrt 0) (sqrt 1.0)) (sqrt x))) (/ (* 1.0 (+ (sqrt 0) (sqrt 1.0))) (+ x 1.0)) (/ (/ 1.0 (+ x 1.0)) (* (cbrt x) (cbrt x))) (/ (/ 1.0 (+ x 1.0)) (sqrt x)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) (* (cbrt (/ 1.0 (+ x 1.0))) (/ (- 0 1.0) x)) (* (sqrt (/ 1.0 (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (cbrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ (sqrt 1.0) (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (cbrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ 1.0 (sqrt (+ x 1.0))) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x)) (/ (/ (- 0 1.0) x) (+ x 1.0)) (* (/ (- 0 1.0) x) (+ (* 1.0 (- 1.0 x)) (pow x 2))) (* (- x 1.0) (/ (- 0 1.0) x)) (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) (* 1.0 (/ (- 0 1.0) x)) (log (/ 1.0 (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (exp (/ 1.0 (+ x 1.0))) (pow (/ 1.0 (+ x 1.0)) 3) (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (pow (/ 1.0 (+ x 1.0)) 3) (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- 0 1.0) (- (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ x 1.0))) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ x 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt 1.0) (/ (sqrt 1.0) (+ x 1.0)) (sqrt 1.0) (/ (sqrt 1.0) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))) 1 (/ 1.0 (+ x 1.0)) 1 (/ 1.0 (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) 1.0 1.0 (/ (+ x 1.0) (cbrt 1.0)) (/ (+ x 1.0) (sqrt 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0 (* 1.0 (+ x (/ 1 x)))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (* 1.0 (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (* 1.0 (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) 0.830 * * * [progress]: adding candidates to table 0.974 * * [progress]: iteration 4 / 4 0.974 * * * [progress]: picking best candidate 0.979 * * * * [pick]: Picked # 0.979 * * * [progress]: localizing error 0.985 * * * [progress]: generating rewritten candidates 0.985 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.991 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.998 * * * [progress]: generating series expansions 0.998 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.999 * [approximate]: Taking taylor expansion of (/ -1.0 (+ (pow x 2) (* 1.0 x))) in (x) around 0 0.999 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (pow x 2) (* 1.0 x))) in x 0.999 * [taylor]: Taking taylor expansion of -1.0 in x 0.999 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 1.0 x)) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (pow x 2) (* 1.0 x))) in x 1.001 * [taylor]: Taking taylor expansion of -1.0 in x 1.001 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 1.0 x)) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.010 * [approximate]: Taking taylor expansion of (/ -1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.010 * [taylor]: Taking taylor expansion of -1.0 in x 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.012 * [taylor]: Taking taylor expansion of -1.0 in x 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.022 * [approximate]: Taking taylor expansion of (/ 1.0 (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2)))) in (x) around 0 1.022 * [taylor]: Taking taylor expansion of (/ 1.0 (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2)))) in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.022 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2))) in x 1.022 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (/ 1.0 (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2)))) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2))) in x 1.024 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.039 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 1.039 * [approximate]: Taking taylor expansion of (* x (+ x 1.0)) in (x) around 0 1.039 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 1.049 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.049 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.050 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.061 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in (x) around 0 1.061 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 1.061 * [taylor]: Taking taylor expansion of -1 in x 1.061 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 1.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of 1.0 in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 1.062 * [taylor]: Taking taylor expansion of -1 in x 1.062 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 1.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.081 * * * [progress]: simplifying candidates 1.082 * [simplify]: Simplifying using # : (- (+ (log 1.0) (log 1.0)) (log (- (* (+ x 1.0) x)))) (- (log (* 1.0 1.0)) (log (- (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (exp (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (/ (* (* (* 1.0 1.0) 1.0) (* (* 1.0 1.0) 1.0)) (* (* (- (* (+ x 1.0) x)) (- (* (+ x 1.0) x))) (- (* (+ x 1.0) x)))) (/ (* (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0)) (* (* (- (* (+ x 1.0) x)) (- (* (+ x 1.0) x))) (- (* (+ x 1.0) x)))) (* (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x))))) (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (* (* (/ (* 1.0 1.0) (- (* (+ x 1.0) x))) (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (sqrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (sqrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (- (* 1.0 1.0)) (- (- (* (+ x 1.0) x))) (/ 1.0 (* (cbrt (- (* (+ x 1.0) x))) (cbrt (- (* (+ x 1.0) x))))) (/ 1.0 (cbrt (- (* (+ x 1.0) x)))) (/ 1.0 (sqrt (- (* (+ x 1.0) x)))) (/ 1.0 (sqrt (- (* (+ x 1.0) x)))) (/ 1.0 1) (/ 1.0 (- (* (+ x 1.0) x))) (/ 1.0 -1) (/ 1.0 (* (+ x 1.0) x)) (/ 1.0 (- (+ x 1.0))) (/ 1.0 x) (/ 1.0 (+ x 1.0)) (/ 1.0 (- x)) (/ 1 (- (* (+ x 1.0) x))) (/ (- (* (+ x 1.0) x)) (* 1.0 1.0)) (/ (* 1.0 1.0) (* (cbrt (- (* (+ x 1.0) x))) (cbrt (- (* (+ x 1.0) x))))) (/ (* 1.0 1.0) (sqrt (- (* (+ x 1.0) x)))) (/ (* 1.0 1.0) 1) (/ (* 1.0 1.0) -1) (/ (* 1.0 1.0) (- (+ x 1.0))) (/ (* 1.0 1.0) (+ x 1.0)) (/ (- (* (+ x 1.0) x)) 1.0) (/ (* 1.0 1.0) (- (* (+ (pow x 3) (pow 1.0 3)) x))) (/ (* 1.0 1.0) (- (* (- (* x x) (* 1.0 1.0)) x))) (* (+ x 1.0) x) (+ (log (+ x 1.0)) (log x)) (log (* (+ x 1.0) x)) (exp (* (+ x 1.0) x)) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x)) (* (cbrt (* (+ x 1.0) x)) (cbrt (* (+ x 1.0) x))) (cbrt (* (+ x 1.0) x)) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (+ x 1.0) (* (cbrt x) (cbrt x))) (* (+ x 1.0) (sqrt x)) (* (+ x 1.0) 1) (* (cbrt (+ x 1.0)) x) (* (sqrt (+ x 1.0)) x) (* (+ x 1.0) x) (* (+ x 1.0) x) (* (+ (pow x 3) (pow 1.0 3)) x) (* (- (* x x) (* 1.0 1.0)) x) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (+ (pow x 2) (* 1.0 x)) (+ (pow x 2) (* 1.0 x)) (+ (pow x 2) (* 1.0 x)) 1.087 * * [simplify]: iteration 0 : 283 enodes (cost 310 ) 1.093 * * [simplify]: iteration 1 : 1533 enodes (cost 268 ) 1.122 * * [simplify]: iteration 2 : 5001 enodes (cost 268 ) 1.124 * [simplify]: Simplified to: (log (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (exp (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (pow (/ (* 1.0 1.0) (- (* (+ x 1.0) x))) 3) (pow (/ (* 1.0 1.0) (- (* (+ x 1.0) x))) 3) (* (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x))))) (cbrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (pow (/ (* 1.0 1.0) (- (* (+ x 1.0) x))) 3) (sqrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (sqrt (/ (* 1.0 1.0) (- (* (+ x 1.0) x)))) (- (* 1.0 1.0)) (* (+ x 1.0) x) (/ 1.0 (* (cbrt (- (* (+ x 1.0) x))) (cbrt (- (* (+ x 1.0) x))))) (/ 1.0 (cbrt (- (* (+ x 1.0) x)))) (/ 1.0 (sqrt (- (* (+ x 1.0) x)))) (/ 1.0 (sqrt (- (* (+ x 1.0) x)))) 1.0 (/ 1.0 (- (* (+ x 1.0) x))) (/ 1.0 -1) (/ 1.0 (* (+ x 1.0) x)) (/ 1.0 (- (+ x 1.0))) (/ 1.0 x) (/ 1.0 (+ x 1.0)) (/ 1.0 (- x)) (/ 1 (- (* (+ x 1.0) x))) (/ (- (* (+ x 1.0) x)) (* 1.0 1.0)) (/ (* 1.0 1.0) (* (cbrt (- (* (+ x 1.0) x))) (cbrt (- (* (+ x 1.0) x))))) (/ (* 1.0 1.0) (sqrt (- (* (+ x 1.0) x)))) (* 1.0 1.0) (/ (* 1.0 1.0) -1) (/ (* 1.0 1.0) (- (+ x 1.0))) (/ (* 1.0 1.0) (+ x 1.0)) (/ (- (* (+ x 1.0) x)) 1.0) (/ (* 1.0 1.0) (- (* (+ (pow x 3) (pow 1.0 3)) x))) (/ (* 1.0 1.0) (- (* (- (* x x) (* 1.0 1.0)) x))) (* (+ x 1.0) x) (log (* (+ x 1.0) x)) (log (* (+ x 1.0) x)) (exp (* (+ x 1.0) x)) (pow (* (+ x 1.0) x) 3) (* (cbrt (* (+ x 1.0) x)) (cbrt (* (+ x 1.0) x))) (cbrt (* (+ x 1.0) x)) (pow (* (+ x 1.0) x) 3) (sqrt (* (+ x 1.0) x)) (sqrt (* (+ x 1.0) x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)) (* (+ x 1.0) (* (cbrt x) (cbrt x))) (* (+ x 1.0) (sqrt x)) (+ x 1.0) (* (cbrt (+ x 1.0)) x) (* (sqrt (+ x 1.0)) x) (* (+ x 1.0) x) (* (+ x 1.0) x) (* (+ (pow x 3) (pow 1.0 3)) x) (* (- (* x x) (* 1.0 1.0)) x) (- 1.0 (* 1.0 (+ x (/ 1 x)))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* (+ x 1.0) x) (* (+ x 1.0) x) (* (+ x 1.0) x) 1.124 * * * [progress]: adding candidates to table 1.193 * [progress]: [Phase 3 of 3] Extracting. 1.194 * * [regime]: Finding splitpoints for: (# # # #) 1.194 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.194 * * * * [regimes]: Trying to branch on x from (# # # #) 1.213 * * * [regime]: Found split indices: #