5.055 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.012 * [simplify]: Sending expressions to egg_math: (/ h0 (+ (* h0 h0) h1)) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.015 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.035 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 0.035 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.047 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.068 * [taylor]: Taking taylor expansion of -1 in x 0.068 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.071 * [taylor]: Taking taylor expansion of -1 in x 0.071 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * * * [progress]: simplifying candidates 0.089 * [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))) (- x) (- (+ (* 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))) (- (+ (* 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)))) 0.089 * [simplify]: Sending expressions to egg_math: (- (log h0) (log (+ (* h0 h0) h1))) (log (/ h0 (+ (* h0 h0) h1))) (exp (/ h0 (+ (* h0 h0) h1))) (/ (* (* h0 h0) h0) (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1))) (* (cbrt (/ h0 (+ (* h0 h0) h1))) (cbrt (/ h0 (+ (* h0 h0) h1)))) (cbrt (/ h0 (+ (* h0 h0) h1))) (* (* (/ h0 (+ (* h0 h0) h1)) (/ h0 (+ (* h0 h0) h1))) (/ h0 (+ (* h0 h0) h1))) (sqrt (/ h0 (+ (* h0 h0) h1))) (sqrt (/ h0 (+ (* h0 h0) h1))) (- h0) (- (+ (* h0 h0) h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (/ (cbrt h0) (cbrt (+ (* h0 h0) h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ (* h0 h0) h1))) (/ (cbrt h0) (sqrt (+ (* h0 h0) h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ (* h0 h0) h1)) (/ (sqrt h0) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (/ (sqrt h0) (cbrt (+ (* h0 h0) h1))) (/ (sqrt h0) (sqrt (+ (* h0 h0) h1))) (/ (sqrt h0) (sqrt (+ (* h0 h0) h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ (* h0 h0) h1)) (/ 1 (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (/ h0 (cbrt (+ (* h0 h0) h1))) (/ 1 (sqrt (+ (* h0 h0) h1))) (/ h0 (sqrt (+ (* h0 h0) h1))) (/ 1 1) (/ h0 (+ (* h0 h0) h1)) (/ 1 (+ (* h0 h0) h1)) (/ (+ (* h0 h0) h1) h0) (/ h0 (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (/ h0 (sqrt (+ (* h0 h0) h1))) (/ h0 1) (/ (+ (* h0 h0) h1) (cbrt h0)) (/ (+ (* h0 h0) h1) (sqrt h0)) (/ (+ (* h0 h0) h1) h0) (/ h0 (+ (pow (* h0 h0) 3) (pow h1 3))) (/ h0 (- (* (* h0 h0) (* h0 h0)) (* h1 h1))) (- (+ (* h1 h0) (* h1 (pow h0 5))) (* h1 (pow h0 3))) (- (+ (* h1 (/ 1 (pow h0 5))) (/ 1 h0)) (* h1 (/ 1 (pow h0 3)))) (- (+ (* h1 (/ 1 (pow h0 5))) (/ 1 h0)) (* h1 (/ 1 (pow h0 3)))) 0.092 * * [simplify]: iteration 0 : 165 enodes (cost 210 ) 0.096 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 0.105 * * [simplify]: iteration 2 : 1839 enodes (cost 192 ) 0.141 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.142 * [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))) (- x) (- (+ (* 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 (+ (- (* 1.0 1.0)) (pow x 4))) (* 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)) 0.142 * * * [progress]: adding candidates to table 0.200 * * [progress]: iteration 2 / 4 0.200 * * * [progress]: picking best candidate 0.204 * * * * [pick]: Picked # 0.204 * * * [progress]: localizing error 0.211 * * * [progress]: generating rewritten candidates 0.211 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.220 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.233 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.247 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.301 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.301 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.303 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 0.315 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 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 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.340 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.385 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.435 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.467 * [taylor]: Taking taylor expansion of -1 in x 0.467 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.470 * [taylor]: Taking taylor expansion of -1 in x 0.470 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 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 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.497 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.507 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.509 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.535 * [taylor]: Taking taylor expansion of -1 in x 0.535 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.553 * * * [progress]: simplifying candidates 0.558 * [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)))) (- x) (- (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 (+ 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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)))) (- (- (log x) (log (sqrt (+ (* x x) 1.0)))) (log (sqrt (+ (* x x) 1.0)))) (- (log (/ x (sqrt (+ (* x x) 1.0)))) (log (sqrt (+ (* x x) 1.0)))) (log (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (exp (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (/ (/ (* (* x x) x) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (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 x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (cbrt (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (cbrt (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))))) (cbrt (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (* (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (sqrt (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (sqrt (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (- (/ x (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 (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) 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h0) h1))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))) (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (- (+ (sqrt h1) (* 1/2 (/ (pow h0 2) (sqrt h1)))) (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3)))) (- (+ h0 (* h2 (/ 1 h0))) (* h3 (/ 1 (pow h0 3)))) (- (* h3 (/ 1 (pow h0 3))) (+ h0 (* h2 (/ 1 h0)))) (- (+ (sqrt h1) (* 1/2 (/ (pow h0 2) (sqrt h1)))) (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3)))) (- (+ h0 (* h2 (/ 1 h0))) (* h3 (/ 1 (pow h0 3)))) (- (* h3 (/ 1 (pow h0 3))) (+ h0 (* h2 (/ 1 h0)))) (- (+ (* h0 (sqrt h1)) (* h2 (/ (pow h0 5) (sqrt h1)))) (+ (* h3 (/ (pow h0 5) (pow (sqrt h1) 3))) (* h2 (/ (pow h0 3) (sqrt h1))))) (- (+ (* h4 (/ 1 (pow h0 4))) 1) (* h2 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 2))) (+ (* h4 (/ 1 (pow h0 4))) 1)) (- (+ (* h1 h0) (* h1 (pow h0 5))) (* h1 (pow h0 3))) (- (+ (* h1 (/ 1 (pow h0 5))) (/ 1 h0)) (* h1 (/ 1 (pow h0 3)))) (- (+ (* h1 (/ 1 (pow h0 5))) (/ 1 h0)) (* h1 (/ 1 (pow h0 3)))) 0.573 * * [simplify]: iteration 0 : 774 enodes (cost 3878 ) 0.585 * * 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(/ (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (pow x 1/2) (fabs (cbrt (+ (* x x) 1.0)))) (/ (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) (/ (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt (sqrt (+ 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1.0)) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (* (cbrt (sqrt (+ (* x x) 1.0))) 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x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (- (* x x) 1.0)) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))))) (/ (sqrt (- (* x x) 1.0)) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (+ (* x x) 1.0) x) (/ (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ x (sqrt (+ 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(sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) x) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (+ (* x x) 1.0) (/ (sqrt (+ (* x x) 1.0)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (- (* (* 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)))) (+ (/ (- 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (* 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)))) (+ (/ (- 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (* 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))))) (+ (- 1 (* 0.5 (/ 1 (pow x 2)))) (/ 0.375 (pow x 4))) (- (* 0.5 (/ 1 (pow x 2))) (+ (* 0.375 (/ 1 (pow x 4))) 1)) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5))) (+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5))) 0.634 * * * [progress]: adding candidates to table 1.055 * * [progress]: iteration 3 / 4 1.055 * * * [progress]: picking best candidate 1.058 * * * * [pick]: Picked # 1.058 * * * [progress]: localizing error 1.064 * * * [progress]: generating rewritten candidates 1.064 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 1.078 * * * [progress]: generating series expansions 1.078 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 1.078 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 1.078 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.088 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.088 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.091 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.109 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.109 * [taylor]: Taking taylor expansion of -1 in x 1.109 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.111 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.111 * [taylor]: Taking taylor expansion of -1 in x 1.111 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * * * [progress]: simplifying candidates 1.134 * [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))) (- x) (- (+ (* 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))) (- (+ (* 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)))) 1.135 * [simplify]: Sending expressions to egg_math: (- (log h0) (log (+ (* h0 h0) h1))) (log (/ h0 (+ (* h0 h0) h1))) (exp (/ h0 (+ (* h0 h0) h1))) (/ (* (* h0 h0) h0) (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1))) (* (cbrt (/ h0 (+ (* h0 h0) h1))) (cbrt (/ h0 (+ (* h0 h0) h1)))) (cbrt (/ h0 (+ (* h0 h0) h1))) (* (* (/ h0 (+ (* h0 h0) h1)) (/ h0 (+ (* h0 h0) h1))) (/ h0 (+ (* h0 h0) h1))) (sqrt (/ h0 (+ (* h0 h0) h1))) (sqrt (/ h0 (+ (* h0 h0) h1))) (- h0) (- (+ (* h0 h0) h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (/ (cbrt h0) (cbrt (+ (* h0 h0) h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ (* h0 h0) h1))) (/ (cbrt h0) (sqrt (+ (* h0 h0) h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ (* h0 h0) h1)) (/ (sqrt h0) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (/ (sqrt h0) (cbrt (+ (* h0 h0) h1))) (/ (sqrt h0) (sqrt (+ (* h0 h0) h1))) (/ (sqrt h0) (sqrt (+ (* h0 h0) h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ (* h0 h0) h1)) (/ 1 (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (/ h0 (cbrt (+ (* h0 h0) h1))) (/ 1 (sqrt (+ (* h0 h0) h1))) (/ h0 (sqrt (+ (* h0 h0) h1))) (/ 1 1) (/ h0 (+ (* h0 h0) h1)) (/ 1 (+ (* h0 h0) h1)) (/ (+ (* h0 h0) h1) h0) (/ h0 (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (/ h0 (sqrt (+ (* h0 h0) h1))) (/ h0 1) (/ (+ (* h0 h0) h1) (cbrt h0)) (/ (+ (* h0 h0) h1) (sqrt h0)) (/ (+ (* h0 h0) h1) h0) (/ h0 (+ (pow (* h0 h0) 3) (pow h1 3))) (/ h0 (- (* (* h0 h0) (* h0 h0)) (* h1 h1))) (- (+ (* h1 h0) (* h1 (pow h0 5))) (* h1 (pow h0 3))) (- (+ (* h1 (/ 1 (pow h0 5))) (/ 1 h0)) (* h1 (/ 1 (pow h0 3)))) (- (+ (* h1 (/ 1 (pow h0 5))) (/ 1 h0)) (* h1 (/ 1 (pow h0 3)))) 1.138 * * [simplify]: iteration 0 : 165 enodes (cost 210 ) 1.142 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 1.151 * * [simplify]: iteration 2 : 1839 enodes (cost 192 ) 1.188 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 1.189 * [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))) (- x) (- (+ (* 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 (+ (- (* 1.0 1.0)) (pow x 4))) (* 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)) 1.189 * * * [progress]: adding candidates to table 1.246 * * [progress]: iteration 4 / 4 1.246 * * * [progress]: picking best candidate 1.248 * * * * [pick]: Picked # 1.249 * * * [progress]: localizing error 1.261 * * * [progress]: generating rewritten candidates 1.261 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.338 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.347 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.357 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.446 * * * [progress]: generating series expansions 1.446 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.446 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in (x) around 0 1.446 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.446 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.448 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.448 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.449 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.485 * [approximate]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in (x) around 0 1.485 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 1.485 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 1.485 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.509 * [approximate]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in (x) around 0 1.509 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 1.509 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 1.509 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.532 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.532 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.533 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.533 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.543 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 1.543 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.543 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.556 * [approximate]: Taking taylor expansion of (* -1 (pow x 3)) in (x) around 0 1.556 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.556 * [taylor]: Taking taylor expansion of -1 in x 1.556 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.556 * [taylor]: Taking taylor expansion of -1 in x 1.556 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.567 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.567 * [approximate]: Taking taylor expansion of (/ 1 (pow x 5)) in (x) around 0 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.567 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.568 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.581 * [approximate]: Taking taylor expansion of (pow x 5) in (x) around 0 1.581 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.592 * [approximate]: Taking taylor expansion of (* -1 (pow x 5)) in (x) around 0 1.592 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.592 * [taylor]: Taking taylor expansion of -1 in x 1.592 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.592 * [taylor]: Taking taylor expansion of -1 in x 1.592 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.606 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.606 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) (* 1.0 (/ 1 (pow x 3)))) in (x) around 0 1.606 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) (* 1.0 (/ 1 (pow x 3)))) in x 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) in x 1.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 5))) in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.607 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.608 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) (* 1.0 (/ 1 (pow x 3)))) in x 1.608 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 5))) in x 1.609 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.609 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 1.609 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.609 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.627 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (pow x 5)) x) (* 1.0 (pow x 3))) in (x) around 0 1.627 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow x 5)) x) (* 1.0 (pow x 3))) in x 1.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.627 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.627 * [taylor]: Taking taylor expansion of 1.0 in x 1.627 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.627 * [taylor]: Taking taylor expansion of 1.0 in x 1.627 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow x 5)) x) (* 1.0 (pow x 3))) in x 1.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.627 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.627 * [taylor]: Taking taylor expansion of 1.0 in x 1.627 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.627 * [taylor]: Taking taylor expansion of 1.0 in x 1.627 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.641 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) x)) in (x) around 0 1.641 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) x)) in x 1.641 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.641 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) x)) in x 1.641 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.641 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.650 * * * [progress]: simplifying candidates 1.653 * [simplify]: Simplifying using # : (/ (exp (/ 1 (pow x 5))) (exp (/ 1 (pow x 3)))) (log (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (exp (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3))))) (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* (* (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (- (* 1 (pow x 3)) (* (pow x 5) 1)) (* (pow x 5) (pow x 3)) (- (pow (/ 1 (pow x 5)) 3) (pow (/ 1 (pow x 3)) 3)) (+ (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (+ (* (/ 1 (pow x 3)) (/ 1 (pow x 3))) (* (/ 1 (pow x 5)) (/ 1 (pow x 3))))) (- (/ 1 (pow x 3))) (- (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (* (/ 1 (pow x 3)) (/ 1 (pow x 3)))) (+ (/ 1 (pow x 5)) (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 3)))) (- (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 3)))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt (pow x 3)))) (- (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt (pow x 3)))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 (pow x (/ 3 2)))) (- (sqrt (/ 1 (pow x 5))) (/ 1 (pow x (/ 3 2)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (sqrt (/ 1 (pow x 3)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (sqrt (/ 1 (pow x 3)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (sqrt (pow x 3)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (sqrt (pow x 3)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow x (/ 3 2)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow x (/ 3 2)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (sqrt (pow x 3)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (sqrt (pow x 3)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow x (/ 3 2)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow x (/ 3 2)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (sqrt (/ 1 (pow x 3)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (sqrt (/ 1 (pow x 3)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (sqrt (pow x 3)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (sqrt (pow x 3)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow x (/ 3 2)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow x (/ 3 2)))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (sqrt (/ 1 (pow x 3)))) (- (/ (sqrt 1) (pow x (/ 5 2))) (sqrt (/ 1 (pow x 3)))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow x (/ 5 2))) (/ 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