6.512 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.032 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.069 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.072 * [taylor]: Taking taylor expansion of -1 in x 0.072 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * * * [progress]: simplifying candidates 0.093 * [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)))) 0.097 * * [simplify]: iteration 0 : 165 enodes (cost 210 ) 0.100 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 0.110 * * [simplify]: iteration 2 : 1839 enodes (cost 192 ) 0.145 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.146 * [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)) 0.147 * * * [progress]: adding candidates to table 0.203 * * [progress]: iteration 2 / 4 0.203 * * * [progress]: picking best candidate 0.208 * * * * [pick]: Picked # 0.208 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.216 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.220 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.228 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.270 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.283 * * * [progress]: generating series expansions 0.283 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.284 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.303 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.320 * [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 0.331 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.331 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.331 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.374 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.391 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.394 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.414 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.436 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.436 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * * * [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 (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (+ (- (log (sqrt (+ (* x x) 1.0)))) (- (log x) (log (sqrt (+ (* x x) 1.0))))) (+ (- (log (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0))))) (+ (- 0 (log (sqrt (+ (* x x) 1.0)))) (- (log x) (log (sqrt (+ (* x x) 1.0))))) (+ (- 0 (log (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0))))) (+ (- (log 1) (log (sqrt (+ (* x x) 1.0)))) (- (log 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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)))) (- (+ (* 0.5 (/ (pow x 4) (sqrt 1.0))) (sqrt 1.0)) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.375 (/ 1 (pow x 5))) (/ 1 x)) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (/ 1 x) (* 0.375 (/ 1 (pow x 5))))) 0.524 * * [simplify]: iteration 0 : 625 enodes (cost 1752 ) 0.537 * * [simplify]: iteration 1 : 3137 enodes (cost 1546 ) 0.581 * * [simplify]: iteration 2 : 5001 enodes (cost 1414 ) 0.587 * [simplify]: Simplified to: (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (pow (sqrt (+ (* x x) 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) 1 (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- 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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))) (- 1/2) (- 1) (- 1/2) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (exp (/ 1 (sqrt (+ (* x x) 1.0)))) (/ 1 (pow (sqrt (+ (* x x) 1.0)) 3)) (* (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (cbrt (/ 1 (sqrt (+ (* x x) 1.0))))) (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ 1 (pow (sqrt (+ (* x x) 1.0)) 3)) (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (- 1) (- (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (/ 1 (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ 1 (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ (/ (- 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (* 0.125 (/ 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)))) (* 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))) (- (+ (* 0.5 (/ (pow x 4) (sqrt 1.0))) (sqrt 1.0)) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.375 (/ 1 (pow x 5))) (/ 1 x)) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (/ 1 x) (* 0.375 (/ 1 (pow x 5))))) 0.588 * * * [progress]: adding candidates to table 0.869 * * [progress]: iteration 3 / 4 0.869 * * * [progress]: picking best candidate 0.873 * * * * [pick]: Picked # 0.873 * * * [progress]: localizing error 0.881 * * * [progress]: generating rewritten candidates 0.881 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.920 * * * [progress]: generating series expansions 0.921 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.921 * [approximate]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in (x) around 0 0.921 * [taylor]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in x 0.921 * [taylor]: Taking taylor expansion of (+ x (pow x 5)) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in x 0.921 * [taylor]: Taking taylor expansion of (+ x (pow x 5)) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.932 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in (x) around 0 0.932 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in x 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in x 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.935 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.950 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in (x) around 0 0.950 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.950 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.952 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.953 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.968 * * * [progress]: simplifying candidates 0.969 * [simplify]: Simplifying using # : (/ (* (exp x) (exp (pow x 5))) (exp (pow x 3))) (/ (exp (+ x (pow x 5))) (exp (pow x 3))) (log (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (* (cbrt (- (+ x (pow x 5)) (pow x 3))) (cbrt (- (+ x (pow x 5)) (pow x 3)))) (cbrt (- (+ x (pow x 5)) (pow x 3))) (* (* (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3))) (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (- (pow (+ x (pow x 5)) 3) (pow (pow x 3) 3)) (+ (* (+ x (pow x 5)) (+ x (pow x 5))) (+ (* (pow x 3) (pow x 3)) (* (+ x (pow x 5)) (pow x 3)))) (- (pow x 3)) (- (* (+ x (pow x 5)) (+ x (pow x 5))) (* (pow x 3) (pow x 3))) (+ (+ x (pow x 5)) (pow x 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (- (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (+ (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (pow x 5) (pow x 3)) (- (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) 0.972 * * [simplify]: iteration 0 : 108 enodes (cost 163 ) 0.975 * * [simplify]: iteration 1 : 374 enodes (cost 154 ) 0.984 * * [simplify]: iteration 2 : 2146 enodes (cost 151 ) 1.038 * * [simplify]: iteration 3 : 5001 enodes (cost 151 ) 1.040 * [simplify]: Simplified to: (exp (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (log (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (* (cbrt (- (+ x (pow x 5)) (pow x 3))) (cbrt (- (+ x (pow x 5)) (pow x 3)))) (cbrt (- (+ x (pow x 5)) (pow x 3))) (pow (- (+ x (pow x 5)) (pow x 3)) 3) (sqrt (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (- (pow (+ x (pow x 5)) 3) (pow (pow x 3) 3)) (+ (* (+ x (pow x 5)) (+ (+ x (pow x 5)) (pow x 3))) (pow x 6)) (- (pow x 3)) (+ (* (+ x (pow x 5)) (+ x (pow x 5))) (- (pow x 6))) (+ (+ x (pow x 5)) (pow x 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (- (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (+ (sqrt (+ x (pow x 5))) (pow x 3/2)) (- (sqrt (+ x (pow x 5))) (pow x 3/2)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (pow x 5) (pow x 3)) (- (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) 1.040 * * * [progress]: adding candidates to table 1.080 * * [progress]: iteration 4 / 4 1.080 * * * [progress]: picking best candidate 1.082 * * * * [pick]: Picked # 1.082 * * * [progress]: localizing error 1.094 * * * [progress]: generating rewritten candidates 1.094 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.153 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.161 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.232 * * * [progress]: generating series expansions 1.232 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.232 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in (x) around 0 1.232 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.232 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.234 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.234 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.235 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.273 * [approximate]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in (x) around 0 1.273 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 1.273 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 1.274 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.302 * [approximate]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in (x) around 0 1.302 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.333 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.333 * [approximate]: Taking taylor expansion of (/ 1 (pow x 5)) in (x) around 0 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.333 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.334 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.348 * [approximate]: Taking taylor expansion of (pow x 5) in (x) around 0 1.348 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.360 * [approximate]: Taking taylor expansion of (* -1 (pow x 5)) in (x) around 0 1.360 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.360 * [taylor]: Taking taylor expansion of -1 in x 1.360 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.360 * [taylor]: Taking taylor expansion of -1 in x 1.360 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.375 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.375 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.375 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.376 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.387 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 1.387 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.394 * [approximate]: Taking taylor expansion of (* -1 (pow x 3)) in (x) around 0 1.395 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.395 * [taylor]: Taking taylor expansion of -1 in x 1.395 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.395 * [taylor]: Taking taylor expansion of -1 in x 1.395 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.412 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.412 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) (* 1.0 (/ 1 (pow x 3)))) in (x) around 0 1.412 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) (* 1.0 (/ 1 (pow x 3)))) in x 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) in x 1.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 5))) in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.413 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 1.414 * [taylor]: Taking taylor expansion of 1.0 in x 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.414 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) (* 1.0 (/ 1 (pow x 3)))) in x 1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) in x 1.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 5))) in x 1.415 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.415 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.416 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.435 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (pow x 5)) x) (* 1.0 (pow x 3))) in (x) around 0 1.435 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow x 5)) x) (* 1.0 (pow x 3))) in x 1.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.435 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow x 5)) x) (* 1.0 (pow x 3))) in x 1.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.435 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.445 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) x)) in (x) around 0 1.445 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) x)) in x 1.445 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.445 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) x)) in x 1.445 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.445 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.455 * * * [progress]: simplifying candidates 1.458 * [simplify]: Simplifying using # : (/ (exp (/ 1 (pow x 5))) (exp (/ 1 (pow x 3)))) (log (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (exp (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3))))) (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* (* (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (- (* 1 (pow x 3)) (* (pow x 5) 1)) (* (pow x 5) (pow x 3)) (- (pow (/ 1 (pow x 5)) 3) (pow (/ 1 (pow x 3)) 3)) (+ (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (+ (* (/ 1 (pow 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