3.259 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 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 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.027 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of 1.0 in x 0.028 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.063 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.063 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [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 ) 0.135 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.136 * [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)) 0.137 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.203 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.206 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.213 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.244 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 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 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.285 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 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 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.333 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.391 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [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 0.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.451 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.462 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.470 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.470 * [taylor]: Taking taylor expansion of x 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 0.489 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.491 * [taylor]: Taking taylor expansion of -1 in x 0.491 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * * * [progress]: simplifying candidates 0.515 * [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 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(sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (* (sqrt (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* 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)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (sqrt (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ 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)) (/ (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (sqrt (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ 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)) (/ 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))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (* (fabs (cbrt (+ (* 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 (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (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) 1.0))) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (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) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (cbrt (sqrt (+ (* 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 (+ (* x x) 1.0))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ x (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ x (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (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))) 0.600 * * * [progress]: adding candidates to table 0.924 * * [progress]: iteration 3 / 4 0.924 * * * [progress]: picking best candidate 0.927 * * * * [pick]: Picked # 0.927 * * * [progress]: localizing error 0.937 * * * [progress]: generating rewritten candidates 0.937 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.943 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.954 * * * [progress]: generating series expansions 0.954 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.954 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in (x) around 0 0.954 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.955 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.966 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.966 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.988 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.988 * [taylor]: Taking taylor expansion of -1 in x 0.988 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.989 * [taylor]: Taking taylor expansion of -1 in x 0.989 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.024 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 1.024 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.035 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.035 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.056 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.056 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.056 * [taylor]: Taking taylor expansion of -1 in x 1.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.059 * [taylor]: Taking taylor expansion of -1 in x 1.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.077 * * * [progress]: simplifying candidates 1.079 * [simplify]: Simplifying using # : (- (log (+ (* x x) 1.0)) (log x)) (log (/ (+ (* x x) 1.0) x)) (exp (/ (+ (* x x) 1.0) x)) (/ (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)) (* (* x x) x)) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x)) (* (* (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x)) (/ (+ (* x x) 1.0) x)) (sqrt (/ (+ (* x x) 1.0) x)) (sqrt (/ (+ (* x x) 1.0) x)) (- (+ (* x x) 1.0)) (- x) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ (* x x) 1.0)) (cbrt x)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x)) (/ (cbrt (+ (* x x) 1.0)) (sqrt x)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1) (/ (cbrt (+ (* x x) 1.0)) x) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) 1) (/ (sqrt (+ (* x x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ 1 1) (/ (+ (* x x) 1.0) x) (/ 1 x) (/ x (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) 1) (/ x (cbrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0)) (* x (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (* x (- (* x x) 1.0)) (- 1) (- (- (log (+ (* x x) 1.0)) (log x))) (- (log (/ (+ (* x x) 1.0) x))) (- 0 (- (log (+ (* x x) 1.0)) (log x))) (- 0 (log (/ (+ (* x x) 1.0) x))) (- (log 1) (- (log (+ (* x x) 1.0)) (log x))) (- (log 1) (log (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (exp (/ 1 (/ (+ (* x x) 1.0) x))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x)) (/ (+ (* x x) 1.0) x))) (* (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x)))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (* (* (/ 1 (/ (+ (* x x) 1.0) x)) (/ 1 (/ (+ (* x x) 1.0) x))) (/ 1 (/ (+ (* x x) 1.0) x))) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (- 1) (- (/ (+ (* x x) 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ (cbrt 1) (cbrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) 1.0) x))) (/ (cbrt 1) (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ (* x x) 1.0)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ (* x x) 1.0)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ (cbrt 1) (/ (cbrt (+ (* x x) 1.0)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) 1.0)) 1)) (/ (cbrt 1) (/ (sqrt (+ (* x x) 1.0)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ (* x x) 1.0) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ (* x x) 1.0) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ (* x x) 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ (* x x) 1.0) x)) (/ (* (cbrt 1) (cbrt 1)) (+ (* x x) 1.0)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ (sqrt 1) (cbrt (/ (+ (* x x) 1.0) x))) (/ (sqrt 1) (sqrt (/ (+ (* x x) 1.0) x))) (/ (sqrt 1) (sqrt (/ (+ (* x x) 1.0) x))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ (* x x) 1.0)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ (* x x) 1.0)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ (sqrt 1) (/ (cbrt (+ (* x x) 1.0)) x)) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) 1)) (/ (sqrt 1) (/ (sqrt (+ (* x x) 1.0)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ (* x x) 1.0) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ (* x x) 1.0) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ (* x x) 1.0) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ (* x x) 1.0) x)) (/ (sqrt 1) (+ (* x x) 1.0)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ (* x x) 1.0)) (cbrt x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ 1 (/ (cbrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (/ (cbrt (+ (* x x) 1.0)) x)) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (cbrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) 1)) (/ 1 (/ (sqrt (+ (* x x) 1.0)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ (* x x) 1.0) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ (* x x) 1.0) x)) (/ 1 1) (/ 1 (/ (+ (* x x) 1.0) x)) (/ 1 (+ (* x x) 1.0)) (/ 1 (/ 1 x)) (/ 1 (/ (+ (* x x) 1.0) x)) (/ (/ (+ (* x x) 1.0) x) 1) (/ 1 (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x)))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x))) (/ 1 (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) (sqrt x))) (/ 1 (/ (sqrt (+ (* x x) 1.0)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ (* x x) 1.0)) (/ (/ (+ (* x x) 1.0) x) (cbrt 1)) (/ (/ (+ (* x x) 1.0) x) (sqrt 1)) (/ (/ (+ (* x x) 1.0) x) 1) (/ 1 (+ (* x x) 1.0)) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) 1.085 * * [simplify]: iteration 0 : 397 enodes (cost 899 ) 1.093 * * [simplify]: iteration 1 : 1720 enodes (cost 800 ) 1.119 * * [simplify]: iteration 2 : 5001 enodes (cost 722 ) 1.128 * [simplify]: Simplified to: (log (/ (+ (* x x) 1.0) x)) (log (/ (+ (* x x) 1.0) x)) (exp (/ (+ (* x x) 1.0) x)) (pow (/ (+ (* x x) 1.0) x) 3) (* (cbrt (/ (+ (* x x) 1.0) x)) (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x)) (pow (/ (+ (* x x) 1.0) x) 3) (sqrt (/ (+ (* x x) 1.0) x)) (sqrt (/ (+ (* x x) 1.0) x)) (- (+ (* x x) 1.0)) (- x) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ (* x x) 1.0)) (cbrt x)) (/ (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (sqrt x)) (/ (cbrt (+ (* x x) 1.0)) (sqrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (/ (cbrt (+ (* x x) 1.0)) x) (/ (sqrt (+ (* x x) 1.0)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (sqrt (+ (* x x) 1.0)) (/ (sqrt (+ (* x x) 1.0)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (cbrt x)) (/ 1 (sqrt x)) (/ (+ (* x x) 1.0) (sqrt x)) 1 (/ (+ (* x x) 1.0) x) (/ 1 x) (/ x (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) (* (cbrt x) (cbrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (+ (* x x) 1.0) (/ x (cbrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0)) (+ (pow x 5) (* x (* 1.0 (- 1.0 (* x x))))) (* x (- (* x x) 1.0)) (- 1) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (log (/ 1 (/ (+ (* x x) 1.0) x))) (exp (/ 1 (/ (+ (* x x) 1.0) x))) (pow (/ x (+ (* x x) 1.0)) 3) (pow (/ x (+ (* x x) 1.0)) 3) (* (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x)))) (cbrt (/ 1 (/ (+ (* x x) 1.0) x))) (pow (/ x (+ (* x x) 1.0)) 3) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (sqrt (/ 1 (/ (+ (* x x) 1.0) x))) (- 1) (- (/ (+ (* x x) 1.0) x)) (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) x (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) x (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ (* x x) 1.0) (cbrt x))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) x (/ x (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ (/ 1 (cbrt (/ (+ (* x x) 1.0) x))) (cbrt (/ (+ (* x x) 1.0) x))) (/ 1 (sqrt (/ (+ (* x x) 1.0) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (/ 1 (+ (* x x) 1.0)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) 1.129 * * * [progress]: adding candidates to table 1.226 * * [progress]: iteration 4 / 4 1.226 * * * [progress]: picking best candidate 1.227 * * * * [pick]: Picked # 1.227 * * * [progress]: localizing error 1.231 * * * [progress]: generating rewritten candidates 1.231 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.240 * * * [progress]: generating series expansions 1.240 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.240 * [approximate]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in (x) around 0 1.240 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 1.240 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.240 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 1.241 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.254 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 1.254 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 1.254 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.254 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 1.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.271 * [approximate]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 1.271 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 1.271 * [taylor]: Taking taylor expansion of -1 in x 1.271 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.271 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 1.272 * [taylor]: Taking taylor expansion of -1 in x 1.272 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.272 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.285 * * * [progress]: simplifying candidates 1.286 * [simplify]: Simplifying using # : (- 1) (- (log (+ x (/ 1.0 x)))) (- 0 (log (+ x (/ 1.0 x)))) (- (log 1) (log (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (exp (/ 1 (+ x (/ 1.0 x)))) (/ (* (* 1 1) 1) (* (* (+ x (/ 1.0 x)) (+ x (/ 1.0 x))) (+ x (/ 1.0 x)))) (* (cbrt (/ 1 (+ x (/ 1.0 x)))) (cbrt (/ 1 (+ x (/ 1.0 x))))) (cbrt (/ 1 (+ x (/ 1.0 x)))) (* (* (/ 1 (+ x (/ 1.0 x))) (/ 1 (+ x (/ 1.0 x)))) (/ 1 (+ x (/ 1.0 x)))) (sqrt (/ 1 (+ x (/ 1.0 x)))) (sqrt (/ 1 (+ x (/ 1.0 x)))) (- 1) (- (+ x (/ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ (cbrt 1) (cbrt (+ x (/ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x (/ 1.0 x)))) (/ (cbrt 1) (sqrt (+ x (/ 1.0 x)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x (/ 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x (/ 1.0 x))) (/ (sqrt 1) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ (sqrt 1) (cbrt (+ x (/ 1.0 x)))) (/ (sqrt 1) (sqrt (+ x (/ 1.0 x)))) (/ (sqrt 1) (sqrt (+ x (/ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x (/ 1.0 x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 1) (/ 1 (+ x (/ 1.0 x))) (/ 1 1) (/ 1 (+ x (/ 1.0 x))) (/ 1 (+ x (/ 1.0 x))) (/ (+ x (/ 1.0 x)) 1) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 1) (/ 1 1) (/ (+ x (/ 1.0 x)) (cbrt 1)) (/ (+ x (/ 1.0 x)) (sqrt 1)) (/ (+ x (/ 1.0 x)) 1) (/ 1 (+ (pow x 3) (pow (/ 1.0 x) 3))) (/ 1 (- (* x x) (* (/ 1.0 x) (/ 1.0 x)))) (- (+ (* 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)))) 1.290 * * [simplify]: iteration 0 : 162 enodes (cost 231 ) 1.293 * * [simplify]: iteration 1 : 552 enodes (cost 207 ) 1.302 * * [simplify]: iteration 2 : 1805 enodes (cost 187 ) 1.331 * * [simplify]: iteration 3 : 5001 enodes (cost 185 ) 1.332 * [simplify]: Simplified to: (- 1) (log (/ 1 (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (log (/ 1 (+ x (/ 1.0 x)))) (exp (/ 1 (+ x (/ 1.0 x)))) (/ 1 (pow (+ x (/ 1.0 x)) 3)) (* (cbrt (/ 1 (+ x (/ 1.0 x)))) (cbrt (/ 1 (+ x (/ 1.0 x))))) (cbrt (/ 1 (+ x (/ 1.0 x)))) (/ 1 (pow (+ x (/ 1.0 x)) 3)) (sqrt (/ 1 (+ x (/ 1.0 x)))) (sqrt (/ 1 (+ x (/ 1.0 x)))) (- 1) (- (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 (/ 1 (+ x (/ 1.0 x))) 1 (/ 1 (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 (/ 1 (+ x (/ 1.0 x))) 1 (/ 1 (+ x (/ 1.0 x))) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (cbrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 (/ 1 (+ x (/ 1.0 x))) 1 (/ 1 (+ x (/ 1.0 x))) (/ 1 (+ x (/ 1.0 x))) (+ x (/ 1.0 x)) (/ 1 (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x))))) (/ 1 (sqrt (+ x (/ 1.0 x)))) 1 1 (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (/ 1 (+ (pow x 3) (pow (/ 1.0 x) 3))) (/ 1 (- (* x x) (* (/ 1.0 x) (/ 1.0 x)))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (- (/ 1.0 (pow x 5)) (- (/ 1.0 (pow x 3)) (/ 1 x))) (- (/ 1.0 (pow x 5)) (- (/ 1.0 (pow x 3)) (/ 1 x))) 1.333 * * * [progress]: adding candidates to table 1.361 * [progress]: [Phase 3 of 3] Extracting. 1.361 * * [regime]: Finding splitpoints for: (# #) 1.361 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.361 * * * * [regimes]: Trying to branch on x from (# #) 1.374 * * * [regime]: Found split indices: #