5.146 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) 0.022 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.023 * * [simplify]: iteration 1 : 12 enodes (cost 4 ) 0.024 * * [simplify]: iteration 2 : 12 enodes (cost 4 ) 0.024 * [simplify]: Simplified to: (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.053 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in (x) around 0 0.053 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in x 0.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.054 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.055 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.064 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in (x) around 0 0.064 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.064 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.064 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of x in x 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 0.065 * [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 0.089 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in (x) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 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 (- 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 0.090 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.090 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.112 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.112 * [approximate]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in (x) around 0 0.112 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [approximate]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 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 0.120 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.127 * [approximate]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in (x) around 0 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 0.128 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.136 * * * [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)))) (neg (/ 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)) (neg (/ 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))) (neg 1.0) (neg (+ 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)))) 0.142 * * [simplify]: iteration 0 : 266 enodes (cost 392 ) 0.147 * * [simplify]: iteration 1 : 898 enodes (cost 369 ) 0.164 * * [simplify]: iteration 2 : 4171 enodes (cost 367 ) 0.287 * * [simplify]: iteration 3 : 5002 enodes (cost 367 ) 0.290 * [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))) (neg (/ 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)) (neg (/ 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))) (neg 1.0) (neg (+ 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)))) 0.290 * * * [progress]: adding candidates to table 0.399 * * [progress]: iteration 2 / 4 0.399 * * * [progress]: picking best candidate 0.406 * * * * [pick]: Picked # 0.406 * * * [progress]: localizing error 0.413 * * * [progress]: generating rewritten candidates 0.413 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.418 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.430 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.437 * * * [progress]: generating series expansions 0.437 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.437 * [approximate]: Taking taylor expansion of (neg 1.0) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (neg 1.0) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (neg 1.0) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [approximate]: Taking taylor expansion of (neg 1.0) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (neg 1.0) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (neg 1.0) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [approximate]: Taking taylor expansion of (neg 1.0) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (neg 1.0) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of (neg 1.0) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.448 * [approximate]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in (x) around 0 0.448 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.448 * [taylor]: Taking taylor expansion of -1.0 in x 0.448 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.450 * [taylor]: Taking taylor expansion of -1.0 in x 0.450 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [approximate]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.459 * [taylor]: Taking taylor expansion of -1.0 in x 0.459 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.460 * [taylor]: Taking taylor expansion of -1.0 in x 0.460 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.470 * [approximate]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.482 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.483 * [approximate]: Taking taylor expansion of (* x (+ x 1.0)) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.492 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.493 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.503 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in (x) around 0 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 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.528 * * * [progress]: simplifying candidates 0.529 * [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)))) (neg (+ 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) (neg (+ 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))) (neg (* 1.0 (- x (+ x 1.0)))) (neg (* (+ 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) (neg 1.0) (neg 1.0) (neg 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)) 0.533 * * [simplify]: iteration 0 : 345 enodes (cost 395 ) 0.541 * * [simplify]: iteration 1 : 2045 enodes (cost 325 ) 0.580 * * [simplify]: iteration 2 : 5003 enodes (cost 316 ) 0.582 * [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)) (neg (+ 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 (neg (+ 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) (neg (* (+ 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)) 0.582 * * * [progress]: adding candidates to table 0.666 * * [progress]: iteration 3 / 4 0.666 * * * [progress]: picking best candidate 0.673 * * * * [pick]: Picked # 0.673 * * * [progress]: localizing error 0.680 * * * [progress]: generating rewritten candidates 0.680 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.695 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.707 * * * [progress]: generating series expansions 0.707 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.707 * [approximate]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in (x) around 0 0.708 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.708 * [taylor]: Taking taylor expansion of -1.0 in x 0.708 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.710 * [taylor]: Taking taylor expansion of -1.0 in x 0.710 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.718 * [approximate]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in (x) around 0 0.718 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.718 * [taylor]: Taking taylor expansion of -1.0 in x 0.718 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.718 * [taylor]: Taking taylor expansion of 1.0 in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.719 * [taylor]: Taking taylor expansion of -1.0 in x 0.719 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.719 * [taylor]: Taking taylor expansion of 1.0 in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.729 * [approximate]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in (x) around 0 0.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.742 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.742 * [approximate]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in (x) around 0 0.742 * [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 0.743 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [approximate]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in (x) around 0 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 0.750 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.757 * [approximate]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in (x) around 0 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 0.758 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.767 * * * [progress]: simplifying candidates 0.768 * [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))) (neg 1.0) (neg (+ 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)))) 0.774 * * [simplify]: iteration 0 : 491 enodes (cost 665 ) 0.784 * * [simplify]: iteration 1 : 2424 enodes (cost 595 ) 0.820 * * [simplify]: iteration 2 : 5002 enodes (cost 595 ) 0.824 * [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) (neg (+ 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)))) 0.829 * * * [progress]: adding candidates to table 0.966 * * [progress]: iteration 4 / 4 0.966 * * * [progress]: picking best candidate 0.975 * * * * [pick]: Picked # 0.975 * * * [progress]: localizing error 0.981 * * * [progress]: generating rewritten candidates 0.981 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.987 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.994 * * * [progress]: generating series expansions 0.994 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.995 * [approximate]: Taking taylor expansion of (/ -1.0 (+ (pow x 2) (* 1.0 x))) in (x) around 0 0.995 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (pow x 2) (* 1.0 x))) in x 0.995 * [taylor]: Taking taylor expansion of -1.0 in x 0.995 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 1.0 x)) in x 0.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (pow x 2) (* 1.0 x))) in x 0.997 * [taylor]: Taking taylor expansion of -1.0 in x 0.997 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 1.0 x)) in x 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.997 * [taylor]: Taking taylor expansion of x in x 1.006 * [approximate]: Taking taylor expansion of (/ -1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.006 * [taylor]: Taking taylor expansion of -1.0 in x 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (/ -1.0 (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x)))) in x 1.007 * [taylor]: Taking taylor expansion of -1.0 in x 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 1.0 (/ 1 x))) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.017 * [approximate]: Taking taylor expansion of (/ 1.0 (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2)))) in (x) around 0 1.017 * [taylor]: Taking taylor expansion of (/ 1.0 (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2)))) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2))) in x 1.017 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ 1.0 (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2)))) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (pow x 2))) in x 1.019 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.030 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 1.030 * [approximate]: Taking taylor expansion of (* x (+ x 1.0)) in (x) around 0 1.030 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 1.044 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.044 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.045 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.055 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in (x) around 0 1.056 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 1.056 * [taylor]: Taking taylor expansion of -1 in x 1.056 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 1.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) x)) in x 1.057 * [taylor]: Taking taylor expansion of -1 in x 1.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) x) in x 1.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.075 * * * [progress]: simplifying candidates 1.076 * [simplify]: Simplifying using # : (- (+ (log 1.0) (log 1.0)) (log (neg (* (+ x 1.0) x)))) (- (log (* 1.0 1.0)) (log (neg (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (exp (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (/ (* (* (* 1.0 1.0) 1.0) (* (* 1.0 1.0) 1.0)) (* (* (neg (* (+ x 1.0) x)) (neg (* (+ x 1.0) x))) (neg (* (+ x 1.0) x)))) (/ (* (* (* 1.0 1.0) (* 1.0 1.0)) (* 1.0 1.0)) (* (* (neg (* (+ x 1.0) x)) (neg (* (+ x 1.0) x))) (neg (* (+ x 1.0) x)))) (* (cbrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x))))) (cbrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (* (* (/ (* 1.0 1.0) (neg (* (+ x 1.0) x))) (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (sqrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (sqrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (neg (* 1.0 1.0)) (neg (neg (* (+ x 1.0) x))) (/ 1.0 (* (cbrt (neg (* (+ x 1.0) x))) (cbrt (neg (* (+ x 1.0) x))))) (/ 1.0 (cbrt (neg (* (+ x 1.0) x)))) (/ 1.0 (sqrt (neg (* (+ x 1.0) x)))) (/ 1.0 (sqrt (neg (* (+ x 1.0) x)))) (/ 1.0 1) (/ 1.0 (neg (* (+ x 1.0) x))) (/ 1.0 -1) (/ 1.0 (* (+ x 1.0) x)) (/ 1.0 (neg (+ x 1.0))) (/ 1.0 x) (/ 1.0 (+ x 1.0)) (/ 1.0 (neg x)) (/ 1 (neg (* (+ x 1.0) x))) (/ (neg (* (+ x 1.0) x)) (* 1.0 1.0)) (/ (* 1.0 1.0) (* (cbrt (neg (* (+ x 1.0) x))) (cbrt (neg (* (+ x 1.0) x))))) (/ (* 1.0 1.0) (sqrt (neg (* (+ x 1.0) x)))) (/ (* 1.0 1.0) 1) (/ (* 1.0 1.0) -1) (/ (* 1.0 1.0) (neg (+ x 1.0))) (/ (* 1.0 1.0) (+ x 1.0)) (/ (neg (* (+ x 1.0) x)) 1.0) (/ (* 1.0 1.0) (neg (* (+ (pow x 3) (pow 1.0 3)) x))) (/ (* 1.0 1.0) (neg (* (- (* 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)) 1.080 * * [simplify]: iteration 0 : 283 enodes (cost 310 ) 1.087 * * [simplify]: iteration 1 : 1533 enodes (cost 268 ) 1.116 * * [simplify]: iteration 2 : 5001 enodes (cost 268 ) 1.118 * [simplify]: Simplified to: (log (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (log (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (exp (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (pow (/ (* 1.0 1.0) (neg (* (+ x 1.0) x))) 3) (pow (/ (* 1.0 1.0) (neg (* (+ x 1.0) x))) 3) (* (cbrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x))))) (cbrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (pow (/ (* 1.0 1.0) (neg (* (+ x 1.0) x))) 3) (sqrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (sqrt (/ (* 1.0 1.0) (neg (* (+ x 1.0) x)))) (neg (* 1.0 1.0)) (* (+ x 1.0) x) (/ 1.0 (* (cbrt (neg (* (+ x 1.0) x))) (cbrt (neg (* (+ x 1.0) x))))) (/ 1.0 (cbrt (neg (* (+ x 1.0) x)))) (/ 1.0 (sqrt (neg (* (+ x 1.0) x)))) (/ 1.0 (sqrt (neg (* (+ x 1.0) x)))) 1.0 (/ 1.0 (neg (* (+ x 1.0) x))) (/ 1.0 -1) (/ 1.0 (* (+ x 1.0) x)) (/ 1.0 (neg (+ x 1.0))) (/ 1.0 x) (/ 1.0 (+ x 1.0)) (/ 1.0 (neg x)) (/ 1 (neg (* (+ x 1.0) x))) (/ (neg (* (+ x 1.0) x)) (* 1.0 1.0)) (/ (* 1.0 1.0) (* (cbrt (neg (* (+ x 1.0) x))) (cbrt (neg (* (+ x 1.0) x))))) (/ (* 1.0 1.0) (sqrt (neg (* (+ x 1.0) x)))) (* 1.0 1.0) (/ (* 1.0 1.0) -1) (/ (* 1.0 1.0) (neg (+ x 1.0))) (/ (* 1.0 1.0) (+ x 1.0)) (/ (neg (* (+ x 1.0) x)) 1.0) (/ (* 1.0 1.0) (neg (* (+ (pow x 3) (pow 1.0 3)) x))) (/ (* 1.0 1.0) (neg (* (- (* 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) 1.118 * * * [progress]: adding candidates to table 1.186 * [progress]: [Phase 3 of 3] Extracting. 1.186 * * [regime]: Finding splitpoints for: (# # # # # #) 1.187 * * * [regime-changes]: Trying 2 branch expressions: ((- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) x) 1.187 * * * * [regimes]: Trying to branch on (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) from (# # # # # #) 1.208 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.227 * * * [regime]: Found split indices: #