9.105 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.016 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of 1.0 in x 0.029 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.042 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.068 * [taylor]: Taking taylor expansion of -1 in x 0.068 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * * * [progress]: simplifying candidates 0.088 * [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 ) 0.095 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 0.105 * * [simplify]: iteration 2 : 1839 enodes (cost 192 ) 0.141 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.142 * [simplify]: Simplified to: (log (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (exp (/ x (+ (* x x) 1.0))) (pow (/ x (+ (* x x) 1.0)) 3) (* (cbrt (/ x (+ (* x x) 1.0))) (cbrt (/ x (+ (* x x) 1.0)))) (cbrt (/ x (+ (* x x) 1.0))) (pow (/ x (+ (* x x) 1.0)) 3) (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (- x) (- (+ (* x x) 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) x (/ (+ (* x x) 1.0) (cbrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) x) (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) 0.142 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.202 * * * * [pick]: Picked # 0.202 * * * [progress]: localizing error 0.209 * * * [progress]: generating rewritten candidates 0.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.223 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.255 * * * [progress]: generating series expansions 0.255 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.255 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.299 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.317 * [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 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.348 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) 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 (+ (pow x 2) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.404 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [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 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x 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 0.435 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.468 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.479 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.479 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.482 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.503 * [taylor]: Taking taylor expansion of -1 in x 0.503 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * * * [progress]: simplifying candidates 0.529 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt 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(sqrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* x x) 1.0)) (/ 1 (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (sqrt (+ (* x x) 1.0)) (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)))) (- (+ (* x (sqrt 1.0)) (* 0.5 (/ (pow x 5) (sqrt 1.0)))) (+ (* 0.125 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(sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (* (sqrt (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* (sqrt (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt 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(+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (- (* x x) 1.0)) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))))) (/ (sqrt (- (* x x) 1.0)) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (+ (* x x) 1.0) x) (/ (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ x (sqrt (+ (* x x) 1.0))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ x (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (/ x (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ x (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) x) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (+ (* x x) 1.0) (/ (sqrt (+ (* x x) 1.0)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (+ (* x x) 1.0) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ (/ (- 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ (/ (- 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (* x (sqrt 1.0)) (* 0.5 (/ (pow x 5) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 5) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 3) (sqrt 1.0))))) (+ (- 1 (* 0.5 (/ 1 (pow x 2)))) (/ 0.375 (pow x 4))) (- (* 0.5 (/ 1 (pow x 2))) (+ (* 0.375 (/ 1 (pow x 4))) 1)) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5))) (+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5))) 0.609 * * * [progress]: adding candidates to table 0.932 * * [progress]: iteration 3 / 4 0.932 * * * [progress]: picking best candidate 0.935 * * * * [pick]: Picked # 0.935 * * * [progress]: localizing error 0.946 * * * [progress]: generating rewritten candidates 0.946 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.989 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 2) 0.994 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 1.013 * * * [progress]: generating series expansions 1.013 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.014 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in (x) around 0 1.014 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.014 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.017 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.050 * [approximate]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in (x) around 0 1.050 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.077 * [approximate]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in (x) around 0 1.077 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 1.077 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 1.077 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.104 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 2) 1.104 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.105 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.116 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 1.116 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.124 * [approximate]: Taking taylor expansion of (* -1 (pow x 3)) in (x) around 0 1.124 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.124 * [taylor]: Taking taylor expansion of -1 in x 1.124 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.124 * [taylor]: Taking taylor expansion of -1 in x 1.124 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.135 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 1.135 * [approximate]: Taking taylor expansion of (/ 1 (pow x 5)) in (x) around 0 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.135 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.136 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.150 * [approximate]: Taking taylor expansion of (pow x 5) in (x) around 0 1.150 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.164 * [approximate]: Taking taylor expansion of (* -1 (pow x 5)) in (x) around 0 1.164 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.164 * [taylor]: Taking taylor expansion of -1 in x 1.164 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.164 * [taylor]: Taking taylor expansion of -1 in x 1.164 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.179 * * * [progress]: simplifying candidates 1.182 * [simplify]: Simplifying using # : (/ (exp (/ 1 (pow x 5))) (exp (/ 1 (pow x 3)))) (log (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (exp (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3))))) (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* (* (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (- (* 1 (pow x 3)) (* (pow x 5) 1)) (* (pow x 5) (pow x 3)) (- (pow (/ 1 (pow x 5)) 3) (pow (/ 1 (pow x 3)) 3)) (+ (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (+ (* (/ 1 (pow x 3)) (/ 1 (pow x 3))) (* (/ 1 (pow x 5)) (/ 1 (pow x 3))))) (- (/ 1 (pow x 3))) (- (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (* (/ 1 (pow x 3)) (/ 1 (pow x 3)))) (+ (/ 1 (pow x 5)) (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 3)))) (- (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 3)))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 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(pow x 3))) (log (/ 1 (pow x 3))) (log (/ 1 (pow x 3))) (log (/ 1 (pow x 3))) (log (/ 1 (pow x 3))) (exp (/ 1 (pow x 3))) (pow (/ 1 (pow x 3)) 3) (* (cbrt (/ 1 (pow x 3))) (cbrt (/ 1 (pow x 3)))) (cbrt (/ 1 (pow x 3))) (pow (/ 1 (pow x 3)) 3) (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 (pow x 3))) (- 1) (- (pow x 3)) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) 1 (/ 1 (pow x 3)) (/ 1 (pow x 3/2)) (/ 1 (pow x 3/2)) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) 1 (/ 1 (pow x 3)) (/ 1 (pow x 3/2)) (/ 1 (pow x 3/2)) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (* x x)) (/ 1 x) (/ 1 (pow (sqrt x) 3)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (pow x 3)) (/ 1 x) (/ 1 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 1 (sqrt (pow x 3))) 1 (/ 1 (pow x 3)) (/ 1 (pow x 3/2)) (/ 1 (pow x 3/2)) (/ 1 (pow x 3)) (pow x 3) (/ 1 (* x x)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 (* x x)) (/ 1 (* x x)) (/ 1 (* x x)) (/ 1 (pow (sqrt x) 3)) 1 (/ 1 x) (/ 1 (sqrt (pow x 3))) 1 (/ 1 (pow x 3/2)) (pow x 3) (pow x 3) (pow x 3) (- 5) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (log (/ 1 (pow x 5))) (exp (/ 1 (pow x 5))) (pow (/ 1 (pow x 5)) 3) (* (cbrt (/ 1 (pow x 5))) (cbrt (/ 1 (pow x 5)))) (cbrt (/ 1 (pow x 5))) (pow (/ 1 (pow x 5)) 3) (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 5))) (- 1) (- (pow x 5)) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (cbrt x) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ 1 (pow x 5)) (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5)) (/ 1 (pow x 5/2)) (/ 1 (pow x 5/2)) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (cbrt x) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ 1 (pow x 5)) (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5)) (/ 1 (pow x 5/2)) (/ 1 (pow x 5/2)) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (cbrt x) 5)) (/ 1 (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ 1 (pow x 5)) (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5)) (/ 1 (pow x 5/2)) (/ 1 (pow x 5/2)) (/ 1 (pow x 5)) (pow x 5) (/ 1 (pow (* (cbrt x) (cbrt x)) 5)) (/ 1 (pow (sqrt x) 5)) 1 (/ (/ 1 (cbrt (pow x 5))) (cbrt (pow x 5))) (/ 1 (sqrt (pow x 5))) 1 (/ 1 (pow x 5/2)) (pow x 5) (pow x 5) (pow x 5) (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 (pow x 3)) (/ 1 (pow x 3)) (/ 1 (pow x 3)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) 1.239 * * * [progress]: adding candidates to table 1.437 * * [progress]: iteration 4 / 4 1.437 * * * [progress]: picking best candidate 1.438 * * * * [pick]: Picked # 1.438 * * * [progress]: localizing error 1.444 * * * [progress]: generating rewritten candidates 1.444 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.457 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.466 * * * [progress]: generating series expansions 1.466 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.467 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 1.467 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of 1.0 in x 1.467 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.478 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.478 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 1.481 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.502 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.502 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 (pow x 2)) 1.0)) in x 1.502 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 1.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.502 * [taylor]: Taking taylor expansion of -1 in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of 1.0 in x 1.505 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 (pow x 2)) 1.0)) in x 1.505 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 1.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.505 * [taylor]: Taking taylor expansion of -1 in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.523 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (pow x 2) 1.0)) (sqrt x)) in (x) around 0 1.523 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (pow x 2) 1.0)) (sqrt x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 1.523 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (pow x 2) 1.0)) (sqrt x)) in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 1.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of 1.0 in x 1.526 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.526 * [taylor]: Taking taylor expansion of x in x 1.543 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.543 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 1.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 1.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of 1.0 in x 1.545 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 1.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of 1.0 in x 1.567 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.567 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 (pow x 2)) 1.0)) in x 1.568 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.568 * [taylor]: Taking taylor expansion of -1 in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of 1.0 in x 1.573 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 (pow x 2)) 1.0)) in x 1.573 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.573 * [taylor]: Taking taylor expansion of -1 in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of 1.0 in x 1.588 * * * [progress]: simplifying candidates 1.590 * [simplify]: Simplifying using # : (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0))) (+ (log (sqrt x)) (- (log (sqrt x)) (log (+ (* x x) 1.0)))) (+ (log (sqrt x)) (log (/ (sqrt x) (+ (* x x) 1.0)))) (log (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (exp (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (sqrt x) (+ (* x x) 1.0)) (/ (sqrt x) (+ (* x x) 1.0))) (/ (sqrt x) (+ (* x x) 1.0)))) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (cbrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (* (* (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0))) (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (sqrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (sqrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ (* x x) 1.0))) (cbrt (/ (sqrt x) (+ (* x x) 1.0))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt 1) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* (sqrt x) (/ 1 (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (/ 1 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt x)) (* (sqrt x) (/ (sqrt x) (+ (pow (* x x) 3) (pow 1.0 3)))) (* (sqrt x) (/ (sqrt x) (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ (* x x) 1.0))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ (* x x) 1.0))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ (* x x) 1.0))) (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ (* x x) 1.0))) (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0))) (* (sqrt x) (sqrt x)) (- (log (sqrt x)) (log (+ (* x x) 1.0))) (log (/ (sqrt x) (+ (* x x) 1.0))) (exp (/ (sqrt x) (+ (* x x) 1.0))) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0))) (* (cbrt (/ (sqrt x) (+ (* x x) 1.0))) (cbrt (/ (sqrt x) (+ (* x x) 1.0)))) (cbrt (/ (sqrt x) (+ (* x x) 1.0))) (* (* (/ (sqrt x) (+ (* x x) 1.0)) (/ (sqrt x) (+ (* x x) 1.0))) (/ (sqrt x) (+ (* x x) 1.0))) (sqrt (/ (sqrt x) (+ (* x x) 1.0))) (sqrt (/ (sqrt x) (+ (* x x) 1.0))) (- (sqrt x)) (- (+ (* x x) 1.0)) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt (sqrt x)) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ (* x x) 1.0))) (/ (cbrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1) (/ (cbrt (sqrt x)) (+ (* x x) 1.0)) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt (cbrt x)) (cbrt (+ (* x x) 1.0))) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ (* x x) 1.0))) (/ (sqrt (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt (* (cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ (* x x) 1.0)) (/ (sqrt (sqrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt (sqrt x)) (cbrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ (* x x) 1.0)) (/ (sqrt 1) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt 1) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt 1) 1) (/ (sqrt x) (+ (* x x) 1.0)) (/ (sqrt (sqrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt (sqrt x)) (cbrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 1) (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) 1) (/ (+ (* x x) 1.0) (cbrt (sqrt x))) (/ (+ (* x x) 1.0) (sqrt (cbrt x))) (/ (+ (* x x) 1.0) (sqrt (sqrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) (sqrt (sqrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt x) (+ (pow (* x x) 3) (pow 1.0 3))) (/ (sqrt 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)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 4))) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 4))) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 4))) (- (* +nan.0 (/ 1 (pow x 3)))))))) 1.596 * * [simplify]: iteration 0 : 374 enodes (cost 834 ) 1.604 * * [simplify]: iteration 1 : 1666 enodes (cost 727 ) 1.636 * * [simplify]: iteration 2 : 5001 enodes (cost 703 ) 1.639 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) (- (log x) (log (+ (* x x) 1.0))) (- (log x) (log (+ (* x x) 1.0))) (- (log x) (log (+ (* x x) 1.0))) (pow (exp 1) (/ x (+ (* x x) 1.0))) (pow (/ x (+ (* x x) 1.0)) 3) (pow (/ x (+ (* x x) 1.0)) 3) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (cbrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (pow (/ x (+ (* x x) 1.0)) 3) (sqrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (sqrt (* (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ (* x x) 1.0))) (cbrt (/ (sqrt x) (+ (* x x) 1.0))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ (* x x) 1.0)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ (* x x) 1.0)))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt x)) (/ (* (sqrt x) (fabs (cbrt x))) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (* (sqrt x) (fabs (cbrt x))) (sqrt (+ (* x x) 1.0))) (* (fabs (cbrt x)) (sqrt x)) (/ (pow (sqrt (sqrt x)) 3) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (pow (sqrt (sqrt x)) 3) (sqrt (+ (* x x) 1.0))) (pow (sqrt (sqrt x)) 3) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (sqrt x) (/ (pow (sqrt (sqrt x)) 3) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (pow (sqrt (sqrt x)) 3) (sqrt (+ (* x x) 1.0))) (pow (sqrt (sqrt x)) 3) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (sqrt x) (sqrt x) x (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (- (* (* x x) (* x x)) (* 1.0 1.0))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ (* x x) 1.0))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ (* x x) 1.0))) (/ (pow (sqrt (sqrt x)) 3) (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0)) (/ (pow (sqrt (sqrt x)) 3) (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0)) x (log (/ (sqrt x) (+ (* x x) 1.0))) (log (/ (sqrt x) (+ (* x x) 1.0))) (exp (/ (sqrt x) (+ (* x x) 1.0))) (pow (/ (sqrt x) (+ (* x x) 1.0)) 3) (* (cbrt (/ (sqrt x) (+ (* x x) 1.0))) (cbrt (/ (sqrt x) (+ (* x x) 1.0)))) (cbrt (/ (sqrt x) (+ (* x x) 1.0))) (pow (/ (sqrt x) (+ (* x x) 1.0)) 3) (sqrt (/ (sqrt x) (+ (* x x) 1.0))) (sqrt (/ (sqrt x) (+ (* x x) 1.0))) (- (sqrt x)) (- (+ (* x x) 1.0)) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt (sqrt x)) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ (* x x) 1.0))) (/ (cbrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (cbrt (sqrt x)) (+ (* x x) 1.0)) (/ (/ (fabs (cbrt x)) (cbrt (+ (* x x) 1.0))) (cbrt (+ (* x x) 1.0))) (/ (sqrt (cbrt x)) (cbrt (+ (* x x) 1.0))) (/ (fabs (cbrt x)) (* (sqrt (+ (* x x) 1.0)) 1)) (/ (sqrt (cbrt x)) (sqrt (+ (* x x) 1.0))) (fabs (cbrt x)) (/ (sqrt (cbrt x)) (+ (* x x) 1.0)) (/ (sqrt (sqrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt (sqrt x)) (cbrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) 1 (/ (sqrt x) (+ (* x x) 1.0)) (/ (sqrt (sqrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt (sqrt x)) (cbrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (/ (sqrt (sqrt x)) (sqrt (+ (* x x) 1.0))) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) 1 (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (sqrt x) (/ (+ (* x x) 1.0) (cbrt (sqrt x))) (/ (+ (* x x) 1.0) (sqrt (cbrt x))) (/ (+ (* x x) 1.0) (sqrt (sqrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) (sqrt (sqrt x))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt x) (+ (pow (* x x) 3) (pow 1.0 3))) (/ (sqrt x) (+ (- (* 1.0 1.0)) (pow x 4))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 (pow x 4))) (/ +nan.0 (pow x 3))) (* +nan.0 (+ (- (pow x 2)) (- (pow x 3) x))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 (pow x 4))) (/ +nan.0 (pow x 3))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 (pow x 4))) (/ +nan.0 (pow x 3))) 1.640 * * * [progress]: adding candidates to table 1.774 * [progress]: [Phase 3 of 3] Extracting. 1.774 * * [regime]: Finding splitpoints for: (# # # #) 1.774 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ (* x x) 1.0)) x) 1.774 * * * * [regimes]: Trying to branch on (/ x (+ (* x x) 1.0)) from (# # # #) 1.796 * * * * [regimes]: Trying to branch on x from (# # # #) 1.821 * * * [regime]: Found split indices: #