2.416 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.016 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.017 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.028 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.033 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.034 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.034 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.035 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.036 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.036 * [taylor]: Taking taylor expansion of -1 in x 0.036 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.036 * [taylor]: Taking taylor expansion of -1 in x 0.036 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.040 * [approximate]: Taking taylor expansion of (+ (pow x 2) 1.0) in (x) around 0 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * * * [progress]: simplifying candidates 0.045 * [simplify]: Simplifying using # : (- (log x) (log (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (exp (/ x (+ (* x x) 1.0))) (/ (* (* x x) x) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0))) (* (cbrt (/ x (+ (* x x) 1.0))) (cbrt (/ x (+ (* x x) 1.0)))) (cbrt (/ x (+ (* x x) 1.0))) (* (* (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (neg x) (neg (+ (* x x) 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (* x x) 1.0)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 1) (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ x 1) (/ (+ (* x x) 1.0) (cbrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) x) (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (- (* (* x x) (* x x)) (* 1.0 1.0))) (* (exp (* x x)) (exp 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 x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))) (- (* (* x x) (* x x)) (* 1.0 1.0)) (- (* x x) 1.0) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) 0.048 * * [simplify]: iteration 0 : 194 enodes (cost 267 ) 0.052 * * [simplify]: iteration 1 : 717 enodes (cost 245 ) 0.065 * * [simplify]: iteration 2 : 3039 enodes (cost 242 ) 0.151 * * [simplify]: iteration 3 : 5002 enodes (cost 242 ) 0.153 * [simplify]: Simplified to: (log (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (exp (/ x (+ (* x x) 1.0))) (pow (/ x (+ (* x x) 1.0)) 3) (* (cbrt (/ x (+ (* x x) 1.0))) (cbrt (/ x (+ (* x x) 1.0)))) (cbrt (/ x (+ (* x x) 1.0))) (pow (/ x (+ (* x x) 1.0)) 3) (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (neg x) (neg (+ (* x x) 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) x (/ (+ (* x x) 1.0) (cbrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) x) (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (+ (neg (* 1.0 1.0)) (pow x 4))) (exp (+ (* x x) 1.0)) (log (+ (pow x 2) 1.0)) (exp (+ (* x x) 1.0)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (cbrt (+ (* x x) 1.0)) (pow (+ (pow x 2) 1.0) 3) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (+ (pow (* x x) 3) (pow 1.0 3)) (- (* 1.0 1.0) (- (* (* x x) 1.0) (pow x 4))) (+ (neg (* 1.0 1.0)) (pow x 4)) (- (* x x) 1.0) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))) (- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) 0.153 * * * [progress]: adding candidates to table 0.260 * * [progress]: iteration 2 / 4 0.260 * * * [progress]: picking best candidate 0.271 * * * * [pick]: Picked # 0.271 * * * [progress]: localizing error 0.278 * * * [progress]: generating rewritten candidates 0.278 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.282 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.286 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.292 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.298 * * * [progress]: generating series expansions 0.298 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.298 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.302 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.305 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 0.305 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.308 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 0.310 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.310 * [taylor]: Taking taylor expansion of -1 in x 0.310 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.310 * [taylor]: Taking taylor expansion of -1 in x 0.310 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.312 * [approximate]: Taking taylor expansion of (+ (pow x 2) 1.0) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * * * [progress]: simplifying candidates 0.317 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (- (log x) (log (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0)))) (exp (/ x (sqrt (+ (* x x) 1.0)))) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (* (* (/ x (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (neg x) (neg (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ x (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt 1)) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 1) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt 1)) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ x 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (exp (* x x)) (exp 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 x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))) (- (* (* x x) (* x x)) (* 1.0 1.0)) (- (* x x) 1.0) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (* x (sqrt 1.0)) (* 0.5 (/ (pow x 5) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 5) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 3) (sqrt 1.0))))) (- (+ (* 0.375 (/ 1 (pow x 4))) 1) (* 0.5 (/ 1 (pow x 2)))) (- (* 0.5 (/ 1 (pow x 2))) (+ (* 0.375 (/ 1 (pow x 4))) 1)) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) 0.322 * * [simplify]: iteration 0 : 298 enodes (cost 642 ) 0.327 * * [simplify]: iteration 1 : 1097 enodes (cost 607 ) 0.347 * * [simplify]: iteration 2 : 5001 enodes (cost 587 ) 0.351 * [simplify]: Simplified to: (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (pow (sqrt (+ (* x x) 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) 1 (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) 1/2 (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (pow (sqrt (+ (* x x) 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) 1 (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) 1/2 (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (log (/ x (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0)))) (exp (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (neg x) (neg (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) 1.0))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (fabs (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ x (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (exp (+ (* x 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)) (pow (+ (* x x) 1.0) 3) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (+ (pow (* x x) 3) (pow 1.0 3)) (- (* 1.0 1.0) (- (* (* x x) 1.0) (pow x 4))) (+ (neg (* 1.0 1.0)) (pow x 4)) (- (* x x) 1.0) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ (/ (neg 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (/ 0.125 (pow x 3)) (- x (* (/ 0.5 x) -1))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ (/ (neg 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (/ 0.125 (pow x 3)) (- x (* (/ 0.5 x) -1))) (- (* (/ (pow x 5) (sqrt 1.0)) (- 0.5 (/ 0.125 1.0))) (- (* 0.5 (/ (pow x 3) (sqrt 1.0))) (* x (sqrt 1.0)))) (+ (- 1 (* 0.5 (/ 1 (pow x 2)))) (/ 0.375 (pow x 4))) (- (/ (/ 0.5 x) x) (- (/ 0.375 (pow x 4)) -1)) (+ (* x x) 1.0) (+ (* x x) 1.0) (+ (* x x) 1.0) 0.352 * * * [progress]: adding candidates to table 0.693 * * [progress]: iteration 3 / 4 0.693 * * * [progress]: picking best candidate 0.698 * * * * [pick]: Picked # 0.698 * * * [progress]: localizing error 0.704 * * * [progress]: generating rewritten candidates 0.704 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.712 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.719 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.727 * * * [progress]: generating series expansions 0.727 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.727 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.727 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.727 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.729 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.731 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.731 * [taylor]: Taking taylor expansion of -1 in x 0.731 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.731 * [taylor]: Taking taylor expansion of -1 in x 0.731 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.734 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.734 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.735 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.735 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.736 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.736 * [taylor]: Taking taylor expansion of -1 in x 0.736 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.736 * [taylor]: Taking taylor expansion of -1 in x 0.737 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.738 * [approximate]: Taking taylor expansion of (+ (pow x 2) 1.0) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * * * [progress]: simplifying candidates 0.743 * [simplify]: Simplifying using # : (- (log (+ (* x x) 1.0)) (log x)) (log (/ (+ (* x x) 1.0) x)) (exp (/ (+ (* x x) 1.0) x)) (/ (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)) (* (* x x) x)) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x)) (* (* (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x)) (/ (+ (* x x) 1.0) x)) (sqrt (/ (+ (* x x) 1.0) x)) (sqrt (/ (+ (* x x) 1.0) x)) (neg (+ (* x x) 1.0)) (neg x) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ (* x x) 1.0)) (cbrt x)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x)) (/ (cbrt (+ (* x x) 1.0)) (sqrt x)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1) (/ (cbrt (+ (* x x) 1.0)) x) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) 1) (/ (sqrt (+ (* x x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ 1 1) (/ (+ (* x x) 1.0) x) (/ 1 x) (/ x (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) 1) (/ x (cbrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0)) (* x (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (* x (- (* x x) 1.0)) (neg 1) (neg (- (log (+ (* x x) 1.0)) (log x))) (neg (log (/ (+ (* x x) 1.0) x))) (- 0 (- (log (+ (* x x) 1.0)) (log x))) (- 0 (log (/ (+ (* x x) 1.0) x))) (- (log 1) (- (log (+ (* x x) 1.0)) (log x))) (- (log 1) (log (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (exp (/ 1 (/ (+ (* x x) 1.0) x))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x)) (/ (+ (* x x) 1.0) x))) (* (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x)))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (* (* (/ 1 (/ (+ (* x x) 1.0) x)) (/ 1 (/ (+ (* x x) 1.0) x))) (/ 1 (/ (+ (* x x) 1.0) x))) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (neg 1) (neg (/ (+ (* x x) 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ (cbrt 1) (cbrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) 1.0) x))) (/ (cbrt 1) (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ (* x x) 1.0)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ (* x x) 1.0)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ (cbrt 1) (/ (cbrt (+ (* x x) 1.0)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) 1)) (/ (cbrt 1) (/ (sqrt (+ (* x x) 1.0)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ (* x x) 1.0) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ (* x x) 1.0) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ (* x x) 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ (* x x) 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) (+ (* x x) 1.0)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ (sqrt 1) (cbrt (/ (+ (* x x) 1.0) x))) (/ (sqrt 1) (sqrt (/ (+ (* x x) 1.0) x))) (/ (sqrt 1) (sqrt (/ (+ (* x x) 1.0) x))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ (* x x) 1.0)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ (* x x) 1.0)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ (sqrt 1) (/ (cbrt (+ (* x x) 1.0)) x)) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) 1)) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ (* x x) 1.0) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ (* x x) 1.0) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ (* x x) 1.0) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ (* x x) 1.0) x)) (/ (sqrt 1) (+ (* x x) 1.0)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ (* x x) 1.0)) (cbrt x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ 1 (/ (cbrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (/ (cbrt (+ (* x x) 1.0)) x)) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (cbrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) 1)) (/ 1 (/ (sqrt (+ (* x x) 1.0)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ (* x x) 1.0) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ (* x x) 1.0) x)) (/ 1 1) (/ 1 (/ (+ (* x x) 1.0) x)) (/ 1 (+ (* x x) 1.0)) (/ 1 (/ 1 x)) (/ 1 (/ (+ (* x x) 1.0) x)) (/ (/ (+ (* x x) 1.0) x) 1) (/ 1 (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ (* x x) 1.0)) (/ (/ (+ (* x x) 1.0) x) (cbrt 1)) (/ (/ (+ (* x x) 1.0) x) (sqrt 1)) (/ (/ (+ (* x x) 1.0) x) 1) (/ 1 (+ (* x x) 1.0)) (* (exp (* x x)) (exp 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 x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))) (- (* (* x x) (* x x)) (* 1.0 1.0)) (- (* x x) 1.0) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) 0.749 * * [simplify]: iteration 0 : 430 enodes (cost 955 ) 0.758 * * [simplify]: iteration 1 : 1984 enodes (cost 848 ) 0.787 * * [simplify]: iteration 2 : 5002 enodes (cost 769 ) 0.792 * [simplify]: Simplified to: (log (/ (+ (* x x) 1.0) x)) (log (/ (+ (* x x) 1.0) x)) (exp (/ (+ (* x x) 1.0) x)) (pow (/ (+ (* x x) 1.0) x) 3) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x)) (pow (/ (+ (* x x) 1.0) x) 3) (sqrt (/ (+ (* x x) 1.0) x)) (sqrt (/ (+ (* x x) 1.0) x)) (neg (+ (* x x) 1.0)) (neg x) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ (* x x) 1.0)) (cbrt x)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x)) (/ (cbrt (+ (* x x) 1.0)) (sqrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (/ (cbrt (+ (* x x) 1.0)) x) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (sqrt (+ (* x x) 1.0)) (/ (sqrt (+ (* x x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (+ (* x x) 1.0) (sqrt x)) 1 (/ (+ (* x x) 1.0) x) (/ 1 x) (/ x (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (+ (* x x) 1.0) (/ x (cbrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0)) (* x (+ (pow x 4) (* 1.0 (- 1.0 (pow x 2))))) (* x (- (* x x) 1.0)) -1 (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (exp (/ 1 (/ (+ (* x x) 1.0) x))) (pow (/ x (+ (* x x) 1.0)) 3) (pow (/ x (+ (* x x) 1.0)) 3) (* (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x)))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (pow (/ x (+ (* x x) 1.0)) 3) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) -1 (neg (/ (+ (* x x) 1.0) x)) (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) x (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) x (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) x (/ x (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (/ 1 (+ (* x x) 1.0)) (exp (+ (* x 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)) (pow (+ (* x x) 1.0) 3) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (+ (pow (* x x) 3) (pow 1.0 3)) (+ (pow x 4) (* 1.0 (- 1.0 (pow x 2)))) (+ (neg (* 1.0 1.0)) (pow x 4)) (- (* x x) 1.0) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (+ (* x x) 1.0) (+ (* x x) 1.0) (+ (* x x) 1.0) 0.793 * * * [progress]: adding candidates to table 1.047 * * [progress]: iteration 4 / 4 1.047 * * * [progress]: picking best candidate 1.049 * * * * [pick]: Picked # 1.049 * * * [progress]: localizing error 1.053 * * * [progress]: generating rewritten candidates 1.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.067 * * * [progress]: generating series expansions 1.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.068 * [approximate]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in (x) around 0 1.068 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 1.068 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 1.068 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.069 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 1.069 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 1.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.069 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 1.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.069 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.070 * [approximate]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 1.070 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 1.070 * [taylor]: Taking taylor expansion of -1 in x 1.070 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 1.070 * [taylor]: Taking taylor expansion of -1 in x 1.070 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.071 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.071 * [approximate]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.073 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in (x) around 0 1.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.074 * [approximate]: Taking taylor expansion of (neg (+ (* 1.0 x) (/ 1 x))) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 x) (/ 1 x))) in x 1.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 x) (/ 1 x))) in x 1.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.075 * * * [progress]: simplifying candidates 1.076 * [simplify]: Simplifying using # : (neg 1) (neg (log (+ x (/ 1.0 x)))) (- 0 (log (+ x (/ 1.0 x)))) (- (log 1) (log (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (exp (/ 1 (+ x (/ 1.0 x)))) (/ (* (* 1 1) 1) (* (* (+ x (/ 1.0 x)) (+ x (/ 1.0 x))) (+ x (/ 1.0 x)))) (* (cbrt (/ 1 (+ x (/ 1.0 x)))) (cbrt (/ 1 (+ x (/ 1.0 x))))) (cbrt (/ 1 (+ x (/ 1.0 x)))) (* (* (/ 1 (+ x (/ 1.0 x))) (/ 1 (+ x (/ 1.0 x)))) (/ 1 (+ x (/ 1.0 x)))) (sqrt (/ 1 (+ x (/ 1.0 x)))) (sqrt (/ 1 (+ x (/ 1.0 x)))) (neg 1) (neg (+ x (/ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ (cbrt 1) (cbrt (+ x (/ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x (/ 1.0 x)))) (/ (cbrt 1) (sqrt (+ x (/ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x (/ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x (/ 1.0 x))) (/ (sqrt 1) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ (sqrt 1) (cbrt (+ x (/ 1.0 x)))) (/ (sqrt 1) (sqrt (+ x (/ 1.0 x)))) (/ (sqrt 1) (sqrt (+ x (/ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x (/ 1.0 x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 1) (/ 1 (+ x (/ 1.0 x))) (/ 1 1) (/ 1 (+ x (/ 1.0 x))) (/ 1 (+ x (/ 1.0 x))) (/ (+ x (/ 1.0 x)) 1) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 1) (/ 1 1) (/ (+ x (/ 1.0 x)) (cbrt 1)) (/ (+ x (/ 1.0 x)) (sqrt 1)) (/ (+ x (/ 1.0 x)) 1) (/ 1 (+ (pow x 3) (pow (/ 1.0 x) 3))) (/ 1 (- (* x x) (* (/ 1.0 x) (/ 1.0 x)))) (* (exp x) (exp (/ 1.0 x))) (log (+ x (/ 1.0 x))) (exp (+ x (/ 1.0 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))) (+ (pow x 3) (pow (/ 1.0 x) 3)) (+ (* x x) (- (* (/ 1.0 x) (/ 1.0 x)) (* x (/ 1.0 x)))) (- (* x x) (* (/ 1.0 x) (/ 1.0 x))) (- x (/ 1.0 x)) (+ x (/ 1.0 x)) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) 1.079 * * [simplify]: iteration 0 : 185 enodes (cost 290 ) 1.083 * * [simplify]: iteration 1 : 596 enodes (cost 258 ) 1.092 * * [simplify]: iteration 2 : 1982 enodes (cost 238 ) 1.131 * * [simplify]: iteration 3 : 5003 enodes (cost 238 ) 1.133 * [simplify]: Simplified to: -1 (log (/ 1 (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (exp (/ 1 (+ x (/ 1.0 x)))) (/ 1 (pow (+ x (/ 1.0 x)) 3)) (* (cbrt (/ 1 (+ x (/ 1.0 x)))) (cbrt (/ 1 (+ x (/ 1.0 x))))) (cbrt (/ 1 (+ x (/ 1.0 x)))) (/ 1 (pow (+ x (/ 1.0 x)) 3)) (sqrt (/ 1 (+ x (/ 1.0 x)))) (sqrt (/ 1 (+ x (/ 1.0 x)))) -1 (neg (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 (/ 1 (+ x (/ 1.0 x))) 1 (/ 1 (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 (/ 1 (+ x (/ 1.0 x))) 1 (/ 1 (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 (/ 1 (+ x (/ 1.0 x))) 1 (/ 1 (+ x (/ 1.0 x))) (/ 1 (+ x (/ 1.0 x))) (+ x (/ 1.0 x)) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 1 (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (/ 1 (+ (pow x 3) (pow (/ 1.0 x) 3))) (/ 1 (- (* x x) (* (/ 1.0 x) (/ 1.0 x)))) (exp (+ x (/ 1.0 x))) (log (+ x (/ 1.0 x))) (exp (+ x (/ 1.0 x))) (* (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))) (+ (pow x 3) (pow (/ 1.0 x) 3)) (+ (* (/ 1.0 x) (- (/ 1.0 x) x)) (* x x)) (- (* x x) (* (/ 1.0 x) (/ 1.0 x))) (- x (/ 1.0 x)) (+ x (/ 1.0 x)) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) 1.134 * * * [progress]: adding candidates to table 1.195 * [progress]: [Phase 3 of 3] Extracting. 1.195 * * [regime]: Finding splitpoints for: (# # #) 1.195 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ (* x x) 1.0)) x) 1.196 * * * * [regimes]: Trying to branch on (/ x (+ (* x x) 1.0)) from (# # #) 1.225 * * * * [regimes]: Trying to branch on x from (# # #) 1.251 * * * [regime]: Found split indices: #