3.287 * [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 ) 0.014 * * [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) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.025 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.037 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.058 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * * * [progress]: simplifying candidates 0.087 * [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)))) 0.091 * * [simplify]: iteration 0 : 165 enodes (cost 210 ) 0.094 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 0.103 * * [simplify]: iteration 2 : 1839 enodes (cost 192 ) 0.139 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.140 * [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)) 0.141 * * * [progress]: adding candidates to table 0.200 * * [progress]: iteration 2 / 4 0.200 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.213 * * * [progress]: generating rewritten candidates 0.213 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.217 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.221 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.228 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.259 * * * [progress]: generating series expansions 0.259 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.259 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.308 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.309 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.351 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.351 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.427 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.444 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.447 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.467 * [taylor]: Taking taylor expansion of -1 in x 0.467 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.470 * [taylor]: Taking taylor expansion of -1 in x 0.470 * [taylor]: Taking taylor expansion of (* 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 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * * * [progress]: simplifying candidates 0.492 * [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))) (- 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 (+ (* 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(* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (- (* x x) 1.0)) (/ x (sqrt (+ (* x x) 1.0)))) (* (/ 1 (sqrt (+ (* x x) 1.0))) x) (* 1 (/ x (sqrt (+ (* x x) 1.0)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (* 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))))) (- (+ (* 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)))) 0.502 * * [simplify]: iteration 0 : 625 enodes (cost 1749 ) 0.515 * * [simplify]: iteration 1 : 3124 enodes (cost 1546 ) 0.558 * * [simplify]: iteration 2 : 5001 enodes (cost 1414 ) 0.566 * [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) 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1.0)))) 1) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (* (cbrt (/ x (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 x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (sqrt (+ (* x x) 1.0))) (/ (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) 1.0))) (cbrt x))) (sqrt (+ (* x x) 1.0))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (* (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 x) 1.0))) (/ (/ (sqrt x) (fabs (cbrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (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)))) (* (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0)) (* (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (- (* x x) 1.0)) (/ x (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (- (+ (sqrt 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)))) (- (+ (* 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))))) (* 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))) 0.567 * * * [progress]: adding candidates to table 0.802 * * [progress]: iteration 3 / 4 0.802 * * * [progress]: picking best candidate 0.806 * * * * [pick]: Picked # 0.806 * * * [progress]: localizing error 0.811 * * * [progress]: generating rewritten candidates 0.811 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.817 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.829 * * * [progress]: generating series expansions 0.829 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.829 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in (x) around 0 0.829 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.829 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) 1.0) x) in x 0.830 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.841 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.841 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.870 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.870 * [taylor]: Taking taylor expansion of -1 in x 0.870 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.870 * [taylor]: Taking taylor expansion of -1 in x 0.870 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.902 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.902 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.914 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.914 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.916 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.936 * [taylor]: Taking taylor expansion of -1 in x 0.936 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.938 * [taylor]: Taking taylor expansion of -1 in x 0.938 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * * * [progress]: simplifying candidates 0.966 * [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 (/ 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(+ (* 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)))) 0.973 * * [simplify]: iteration 0 : 397 enodes (cost 899 ) 0.980 * * [simplify]: iteration 1 : 1720 enodes (cost 800 ) 1.006 * * [simplify]: iteration 2 : 5001 enodes (cost 722 ) 1.010 * [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)))) 1.011 * * * [progress]: adding candidates to table 1.114 * * [progress]: iteration 4 / 4 1.114 * * * [progress]: picking best candidate 1.116 * * * * [pick]: Picked # 1.116 * * * [progress]: localizing error 1.120 * * * [progress]: generating rewritten candidates 1.120 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.132 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.138 * * * [progress]: generating series expansions 1.138 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.139 * [approximate]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in (x) around 0 1.139 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 1.139 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 (+ x (* 1.0 (/ 1 x)))) in x 1.140 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.154 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 1.154 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 x) (/ 1 x))) in x 1.155 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.169 * [approximate]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 1.169 * [taylor]: Taking taylor expansion of -1 in x 1.169 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.169 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 (+ (* 1.0 x) (/ 1 x))) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.183 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.183 * [approximate]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in (x) around 0 1.183 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (+ x (* 1.0 (/ 1 x))) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.196 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in (x) around 0 1.196 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.196 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.197 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.214 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 x) (/ 1 x))) in (x) around 0 1.214 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (/ 1 x))) in x 1.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (/ 1 x))) in x 1.214 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.229 * * * [progress]: simplifying candidates 1.230 * [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)))) (* (exp x) (exp (/ 1.0 x))) (log (+ x (/ 1.0 x))) (exp (+ x (/ 1.0 x))) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x)))) (cbrt (+ x (/ 1.0 x))) (* (* (+ x (/ 1.0 x)) (+ x (/ 1.0 x))) (+ x (/ 1.0 x))) (sqrt (+ x (/ 1.0 x))) (sqrt (+ x (/ 1.0 x))) (+ (pow x 3) (pow (/ 1.0 x) 3)) (+ (* x x) (- (* (/ 1.0 x) (/ 1.0 x)) (* x (/ 1.0 x)))) (- (* x x) (* (/ 1.0 x) (/ 1.0 x))) (- x (/ 1.0 x)) (+ x (/ 1.0 x)) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) (+ x (* 1.0 (/ 1 x))) 1.234 * * [simplify]: iteration 0 : 185 enodes (cost 292 ) 1.237 * * [simplify]: iteration 1 : 596 enodes (cost 260 ) 1.247 * * [simplify]: iteration 2 : 1982 enodes (cost 240 ) 1.284 * * [simplify]: iteration 3 : 5002 enodes (cost 240 ) 1.286 * [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)))) (exp (+ x (/ 1.0 x))) (log (+ x (/ 1.0 x))) (exp (+ x (/ 1.0 x))) (* (cbrt (+ x (/ 1.0 x))) (cbrt (+ x (/ 1.0 x)))) (cbrt (+ x (/ 1.0 x))) (pow (+ x (/ 1.0 x)) 3) (sqrt (+ x (/ 1.0 x))) (sqrt (+ x (/ 1.0 x))) (+ (pow x 3) (pow (/ 1.0 x) 3)) (+ (* (/ 1.0 x) (- (/ 1.0 x) x)) (* x x)) (- (* x x) (* (/ 1.0 x) (/ 1.0 x))) (- x (/ 1.0 x)) (+ x (/ 1.0 x)) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) (+ x (/ 1.0 x)) 1.287 * * * [progress]: adding candidates to table 1.332 * [progress]: [Phase 3 of 3] Extracting. 1.332 * * [regime]: Finding splitpoints for: (# # #) 1.333 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.333 * * * * [regimes]: Trying to branch on x from (# # #) 1.349 * * * [regime]: Found split indices: #