3.257 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.010 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.012 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.013 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.014 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.019 * * * [progress]: generating rewritten candidates 0.019 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.026 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of 1.0 in x 0.030 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.041 * [taylor]: Taking taylor expansion of x 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 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.062 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * * * [progress]: simplifying candidates 0.085 * [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]: iteration 0 : 165 enodes (cost 210 ) 0.092 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 0.101 * * [simplify]: iteration 2 : 1839 enodes (cost 192 ) 0.137 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.138 * [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)) 0.138 * * * [progress]: adding candidates to table 0.198 * * [progress]: iteration 2 / 4 0.198 * * * [progress]: picking best candidate 0.206 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.214 * * * [progress]: generating rewritten candidates 0.214 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.218 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.222 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.229 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.240 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.240 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.242 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.283 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [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 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.305 * [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 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.330 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) 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 (+ (pow x 2) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.390 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.419 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.457 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.457 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in (x) around 0 0.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.459 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * * * [progress]: simplifying candidates 0.535 * [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 (+ (* 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)))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt (+ (* x x) 1.0)))) (- 0 (log (sqrt (+ (* x x) 1.0)))) (- (log 1) (log (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (exp (/ 1 (sqrt (+ (* x x) 1.0)))) (/ (* (* 1 1) 1) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (cbrt (/ 1 (sqrt (+ (* x x) 1.0))))) (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (* (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0)))) (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (- 1) (- (sqrt (+ (* x x) 1.0))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt 1) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ (cbrt 1) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt (+ (* x x) 1.0))) (/ (sqrt 1) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt 1) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt 1) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ (sqrt 1) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (+ (* x x) 1.0))) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 1) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) 1) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) (sqrt 1)) (/ (sqrt (+ (* x x) 1.0)) 1) (/ 1 (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ 1 (sqrt (- (* (* x x) (* x x)) (* 1.0 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)) (- (+ (* 0.5 (/ (pow x 4) (sqrt 1.0))) (sqrt 1.0)) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.375 (/ 1 (pow x 5))) (/ 1 x)) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (/ 1 x) (* 0.375 (/ 1 (pow x 5))))) 0.542 * * [simplify]: iteration 0 : 388 enodes (cost 970 ) 0.549 * * [simplify]: iteration 1 : 1519 enodes (cost 893 ) 0.573 * * [simplify]: iteration 2 : 5001 enodes (cost 855 ) 0.578 * [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)))) (- 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) (/ (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)))) (- 1/2) (- 1) (- 1/2) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (exp (/ 1 (sqrt (+ (* x x) 1.0)))) (/ 1 (pow (sqrt (+ (* x x) 1.0)) 3)) (* (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (cbrt (/ 1 (sqrt (+ (* x x) 1.0))))) (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ 1 (pow (sqrt (+ (* x x) 1.0)) 3)) (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (- 1) (- (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (/ 1 (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ 1 (sqrt (- (* (* x x) (* x x)) (* 1.0 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 (pow x 3)) (- x (/ (- 0.5) 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 (pow x 3)) (- x (/ (- 0.5) x))) (- (* (/ (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))) (+ (sqrt 1.0) (+ (* (/ (pow x 4) (sqrt 1.0)) (- 0.5 (/ 0.125 1.0))) (- (* 0.5 (/ (pow x 2) (sqrt 1.0)))))) (- (+ (* 0.375 (/ 1 (pow x 5))) (/ 1 x)) (* 0.5 (/ 1 (pow x 3)))) (- (/ 0.5 (pow x 3)) (- (/ 1 x) (/ (- 0.375) (pow x 5)))) 0.578 * * * [progress]: adding candidates to table 0.826 * * [progress]: iteration 3 / 4 0.826 * * * [progress]: picking best candidate 0.830 * * * * [pick]: Picked # 0.830 * * * [progress]: localizing error 0.841 * * * [progress]: generating rewritten candidates 0.841 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.903 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 2) 0.908 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.925 * * * [progress]: generating series expansions 0.925 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.925 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in (x) around 0 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.926 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.927 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.928 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.962 * [approximate]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in (x) around 0 0.962 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 0.963 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 0.963 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.994 * [approximate]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in (x) around 0 0.994 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 0.994 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 0.994 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.994 * [taylor]: Taking taylor expansion of x in x 1.021 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 2) 1.021 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.021 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.032 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 1.032 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.040 * [approximate]: Taking taylor expansion of (* -1 (pow x 3)) in (x) around 0 1.040 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.040 * [taylor]: Taking taylor expansion of -1 in x 1.040 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.041 * [taylor]: Taking taylor expansion of -1 in x 1.041 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.052 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 1.052 * [approximate]: Taking taylor expansion of (/ 1 (pow x 5)) in (x) around 0 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.052 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.053 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.074 * [approximate]: Taking taylor expansion of (pow x 5) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.086 * [approximate]: Taking taylor expansion of (* -1 (pow x 5)) in (x) around 0 1.086 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.086 * [taylor]: Taking taylor expansion of -1 in x 1.086 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.086 * [taylor]: Taking taylor expansion of -1 in x 1.086 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.102 * * * [progress]: simplifying candidates 1.105 * [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 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1 (pow x (/ 5 2))) (/ (pow x 5) (cbrt 1)) (/ (pow x 5) (sqrt 1)) (/ (pow x 5) 1) (- (/ 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 3)) (/ 1 (pow x 3)) (/ 1 (pow x 3)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) 1.116 * * [simplify]: iteration 0 : 546 enodes (cost 1643 ) 1.125 * * [simplify]: iteration 1 : 2035 enodes (cost 1390 ) 1.153 * * [simplify]: iteration 2 : 5001 enodes (cost 1390 ) 1.160 * [simplify]: Simplified to: (exp (- (/ 1 (pow x 5)) (/ 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)))) (pow (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) 3) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (- (pow x 3) (pow x 5)) (* (pow x 5) (pow x 3)) (- (pow (/ 1 (pow x 5)) 3) (pow (/ 1 (pow x 3)) 3)) (+ (* (/ 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x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) 1 (/ 1 (pow x 3)) (/ 1 (pow x 3/2)) (/ 1 (pow x 3/2)) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) 1 (/ 1 (pow x 3)) (/ 1 (pow x 3/2)) (/ 1 (pow x 3/2)) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) 1 (/ 1 (pow x 3)) (/ 1 (pow x 3/2)) (/ 1 (pow x 3/2)) (/ 1 (pow x 3)) (pow x 3) (/ 1 (* x x)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (* x x)) (/ 1 (* x x)) (/ 1 (* x x)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 x) (/ 1 (sqrt (pow x 3))) 1 (/ 1 (pow x 3/2)) (pow x 3) (pow x 3) (pow x 3) (- 5) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (exp (/ 1 (pow x 5))) (pow (/ 1 (pow x 5)) 3) (* (cbrt (/ 1 (pow x 5))) (cbrt (/ 1 (pow x 5)))) (cbrt (/ 1 (pow x 5))) (pow (/ 1 (pow x 5)) 3) (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 5))) (- 1) (- (pow x 5)) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (cbrt x) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ 1 (pow x 5)) (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5)) (/ 1 (pow x 5/2)) (/ 1 (pow x 5/2)) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (cbrt x) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ 1 (pow x 5)) (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5)) (/ 1 (pow x 5/2)) (/ 1 (pow x 5/2)) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (cbrt x) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ 1 (pow x 5)) (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5)) (/ 1 (pow x 5/2)) (/ 1 (pow x 5/2)) (/ 1 (pow x 5)) (pow x 5) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5/2)) (pow x 5) (pow x 5) (pow x 5) (- (/ 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 3)) (/ 1 (pow x 3)) (/ 1 (pow x 3)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) 1.161 * * * [progress]: adding candidates to table 1.414 * * [progress]: iteration 4 / 4 1.415 * * * [progress]: picking best candidate 1.417 * * * * [pick]: Picked # 1.417 * * * [progress]: localizing error 1.425 * * * [progress]: generating rewritten candidates 1.425 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 1.469 * * * [progress]: generating series expansions 1.469 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 1.469 * [approximate]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in (x) around 0 1.469 * [taylor]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in x 1.469 * [taylor]: Taking taylor expansion of (+ x (pow x 5)) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in x 1.469 * [taylor]: Taking taylor expansion of (+ x (pow x 5)) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.477 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in (x) around 0 1.477 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in x 1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.477 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.478 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in x 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.479 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.480 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.495 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in (x) around 0 1.495 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.495 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.496 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.497 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.498 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.517 * * * [progress]: simplifying candidates 1.518 * [simplify]: Simplifying using # : (/ (* (exp x) (exp (pow x 5))) (exp (pow x 3))) (/ (exp (+ x (pow x 5))) (exp (pow x 3))) (log (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (* (cbrt (- (+ x (pow x 5)) (pow x 3))) (cbrt (- (+ x (pow x 5)) (pow x 3)))) (cbrt (- (+ x (pow x 5)) (pow x 3))) (* (* (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3))) (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (- (pow (+ x (pow x 5)) 3) (pow (pow x 3) 3)) (+ (* (+ x (pow x 5)) (+ x (pow x 5))) (+ (* (pow x 3) (pow x 3)) (* (+ x (pow x 5)) (pow x 3)))) (- (pow x 3)) (- (* (+ x (pow x 5)) (+ x (pow x 5))) (* (pow x 3) (pow x 3))) (+ (+ x (pow x 5)) (pow x 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (- (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (+ (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (pow x 5) (pow x 3)) (- (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) 1.521 * * [simplify]: iteration 0 : 108 enodes (cost 165 ) 1.523 * * [simplify]: iteration 1 : 374 enodes (cost 156 ) 1.533 * * [simplify]: iteration 2 : 2142 enodes (cost 153 ) 1.587 * * [simplify]: iteration 3 : 5001 enodes (cost 153 ) 1.588 * [simplify]: Simplified to: (exp (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (log (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (* (cbrt (- (+ x (pow x 5)) (pow x 3))) (cbrt (- (+ x (pow x 5)) (pow x 3)))) (cbrt (- (+ x (pow x 5)) (pow x 3))) (pow (- (+ x (pow x 5)) (pow x 3)) 3) (sqrt (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (- (pow (+ x (pow x 5)) 3) (pow (pow x 3) 3)) (+ (* (+ x (pow x 5)) (+ (+ x (pow x 5)) (pow x 3))) (pow x 6)) (- (pow x 3)) (+ (* (+ x (pow x 5)) (+ x (pow x 5))) (- (pow x 6))) (+ (+ x (pow x 5)) (pow x 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (- (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (+ (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (pow x 5) (pow x 3)) (- (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) 1.588 * * * [progress]: adding candidates to table 1.627 * [progress]: [Phase 3 of 3] Extracting. 1.627 * * [regime]: Finding splitpoints for: (# # # #) 1.628 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ (* x x) 1.0)) x) 1.628 * * * * [regimes]: Trying to branch on (/ x (+ (* x x) 1.0)) from (# # # #) 1.654 * * * * [regimes]: Trying to branch on x from (# # # #) 1.680 * * * [regime]: Found split indices: #