12.091 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.336 * * * [progress]: [2/2] Setting up program. 0.338 * [progress]: [Phase 2 of 3] Improving. 0.338 * [simplify]: Simplifying using # : (/ (exp x) (- (exp x) 1.0)) 0.340 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.340 * * [simplify]: iteration 1 : 5 enodes (cost 7 ) 0.340 * [simplify]: Simplified to: (/ (exp x) (- (exp x) 1.0)) 0.341 * * [progress]: iteration 1 / 4 0.341 * * * [progress]: picking best candidate 0.343 * * * * [pick]: Picked # 0.343 * * * [progress]: localizing error 0.346 * * * [progress]: generating rewritten candidates 0.347 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.350 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.358 * * * [progress]: generating series expansions 0.358 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.358 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.358 * [taylor]: Taking taylor expansion of (exp x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.358 * [taylor]: Taking taylor expansion of (exp x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.359 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.361 * [approximate]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.361 * [taylor]: Taking taylor expansion of (exp x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (exp x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.361 * [taylor]: Taking taylor expansion of (exp x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (exp x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in (x) around 0 0.365 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.365 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.365 * [taylor]: Taking taylor expansion of -1 in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.365 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.365 * [taylor]: Taking taylor expansion of -1 in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.365 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.365 * [taylor]: Taking taylor expansion of -1 in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.365 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.365 * [taylor]: Taking taylor expansion of -1 in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * * * [progress]: simplifying candidates 0.368 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (* (* (- (exp x) 1.0) (- (exp x) 1.0)) (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))) (neg 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- x (log (- (exp x) 1.0))) (log (/ (exp x) (- (exp x) 1.0))) (exp (/ (exp x) (- (exp x) 1.0))) (/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1.0) (- (exp x) 1.0)) (- (exp x) 1.0))) (* (cbrt (/ (exp x) (- (exp x) 1.0))) (cbrt (/ (exp x) (- (exp x) 1.0)))) (cbrt (/ (exp x) (- (exp x) 1.0))) (* (* (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0))) (/ (exp x) (- (exp x) 1.0))) (sqrt (/ (exp x) (- (exp x) 1.0))) (sqrt (/ (exp x) (- (exp x) 1.0))) (neg (exp x)) (neg (- (exp x) 1.0)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1.0))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (cbrt (exp x)) (- (exp x) 1.0)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (cbrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (cbrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) 1) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (sqrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (/ (sqrt (exp x)) 1) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ 1 (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (exp x) (cbrt (- (exp x) 1.0))) (/ 1 (sqrt (- (exp x) 1.0))) (/ (exp x) (sqrt (- (exp x) 1.0))) (/ 1 1) (/ (exp x) (- (exp x) 1.0)) (/ 1 (+ (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) (- (sqrt (exp x)) (sqrt 1.0))) (/ 1 1) (/ (exp x) (- (exp x) 1.0)) (/ 1 (- (exp x) 1.0)) (/ (- (exp x) 1.0) (exp x)) (/ (exp x) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (exp x) (sqrt (- (exp x) 1.0))) (/ (exp x) 1) (/ (exp x) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) 1) (/ (- (exp x) 1.0) (cbrt (exp x))) (/ (- (exp x) 1.0) (sqrt (exp x))) (/ (- (exp x) 1.0) (exp x)) (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.427 * * [simplify]: iteration 0 : 4925 enodes (cost 575 ) 0.428 * * [simplify]: iteration 1 : 4925 enodes (cost 575 ) 0.430 * [simplify]: Simplified to: (exp (- (exp x) 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (pow (- (exp x) 1.0) 3) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))) (neg 1.0) (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- x (log (- (exp x) 1.0))) (- x (log (- (exp x) 1.0))) (exp (/ (exp x) (- (exp x) 1.0))) (pow (/ (exp x) (- (exp x) 1.0)) 3) (* (cbrt (/ (exp x) (- (exp x) 1.0))) (cbrt (/ (exp x) (- (exp x) 1.0)))) (cbrt (/ (exp x) (- (exp x) 1.0))) (pow (/ (exp x) (- (exp x) 1.0)) 3) (sqrt (/ (exp x) (- (exp x) 1.0))) (sqrt (/ (exp x) (- (exp x) 1.0))) (neg (exp x)) (neg (- (exp x) 1.0)) (* (cbrt (exp x)) (/ (cbrt (exp x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1.0))) (* (cbrt (exp x)) (/ (cbrt (exp x)) (sqrt (- (exp x) 1.0)))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1.0))) (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1.0)) (* (cbrt (exp x)) (/ (cbrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0)))) (/ (cbrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (sqrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ 1 (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (exp x) (cbrt (- (exp x) 1.0))) (/ 1 (sqrt (- (exp x) 1.0))) (/ (exp x) (sqrt (- (exp x) 1.0))) 1 (/ (exp x) (- (exp x) 1.0)) (/ 1 (+ (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) (- (sqrt (exp x)) (sqrt 1.0))) 1 (/ (exp x) (- (exp x) 1.0)) (/ 1 (- (exp x) 1.0)) (- 1 (/ 1.0 (exp x))) (/ (exp x) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (exp x) (sqrt (- (exp x) 1.0))) (exp x) (/ (exp x) (+ (sqrt (exp x)) (sqrt 1.0))) (exp x) (/ (- (exp x) 1.0) (cbrt (exp x))) (/ (- (exp x) 1.0) (sqrt (exp x))) (- 1 (/ 1.0 (exp x))) (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (/ (exp x) (- (pow (exp x) 2) (* 1.0 1.0))) (+ x (* x (* x (+ 1/2 (* x 1/6))))) (- (exp x) 1.0) (- (exp x) 1.0) (+ 1/2 (+ (* x 1/12) (/ 1 x))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.431 * * * [progress]: adding candidates to table 0.500 * * [progress]: iteration 2 / 4 0.500 * * * [progress]: picking best candidate 0.505 * * * * [pick]: Picked # 0.506 * * * [progress]: localizing error 0.511 * * * [progress]: generating rewritten candidates 0.511 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 0.514 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.520 * * * [progress]: generating series expansions 0.520 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 0.520 * [approximate]: Taking taylor expansion of (* 1/12 x) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.520 * [taylor]: Taking taylor expansion of 1/12 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.520 * [taylor]: Taking taylor expansion of 1/12 in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [approximate]: Taking taylor expansion of (/ 1/12 x) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.521 * [taylor]: Taking taylor expansion of 1/12 in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.521 * [taylor]: Taking taylor expansion of 1/12 in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.522 * [approximate]: Taking taylor expansion of (/ -1/12 x) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.522 * [taylor]: Taking taylor expansion of -1/12 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.522 * [taylor]: Taking taylor expansion of -1/12 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.522 * [approximate]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.522 * [taylor]: Taking taylor expansion of 1/12 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.522 * [taylor]: Taking taylor expansion of 1/12 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [approximate]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of 1/12 in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of 1/12 in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in x 0.525 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of 1/12 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in x 0.525 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of 1/12 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * * * [progress]: simplifying candidates 0.527 * [simplify]: Simplifying using # : (* x 1/12) (+ (log x) (log 1/12)) (log (* x 1/12)) (exp (* x 1/12)) (* (* (* x x) x) (* (* 1/12 1/12) 1/12)) (* (cbrt (* x 1/12)) (cbrt (* x 1/12))) (cbrt (* x 1/12)) (* (* (* x 1/12) (* x 1/12)) (* x 1/12)) (sqrt (* x 1/12)) (sqrt (* x 1/12)) (* (sqrt x) (sqrt 1/12)) (* (sqrt x) (sqrt 1/12)) (* x (* (cbrt 1/12) (cbrt 1/12))) (* x (sqrt 1/12)) (* x 1) (* (cbrt x) 1/12) (* (sqrt x) 1/12) (* x 1/12) (* (exp (* x 1/12)) (exp (/ 1 x))) (log (+ (* x 1/12) (/ 1 x))) (exp (+ (* x 1/12) (/ 1 x))) (* (cbrt (+ (* x 1/12) (/ 1 x))) (cbrt (+ (* x 1/12) (/ 1 x)))) (cbrt (+ (* x 1/12) (/ 1 x))) (* (* (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x))) (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (+ (pow (* x 1/12) 3) (pow (/ 1 x) 3)) (+ (* (* x 1/12) (* x 1/12)) (- (* (/ 1 x) (/ 1 x)) (* (* x 1/12) (/ 1 x)))) (- (* (* x 1/12) (* x 1/12)) (* (/ 1 x) (/ 1 x))) (- (* x 1/12) (/ 1 x)) (* 1/12 x) (* 1/12 x) (* 1/12 x) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) 0.563 * * [simplify]: iteration 0 : 5537 enodes (cost 225 ) 0.564 * [simplify]: Simplified to: (* x 1/12) (log (* x 1/12)) (log (* x 1/12)) (pow (exp x) 1/12) (* (pow x 3) 1/1728) (* (cbrt (* x 1/12)) (cbrt (* x 1/12))) (cbrt (* x 1/12)) (* (pow x 3) 1/1728) (sqrt (* x 1/12)) (sqrt (* x 1/12)) (* (sqrt x) (sqrt 1/12)) (* (sqrt x) (sqrt 1/12)) (* x (* (cbrt 1/12) (cbrt 1/12))) (* x (sqrt 1/12)) x (* 1/12 (cbrt x)) (* 1/12 (sqrt x)) (* x 1/12) (exp (+ (* x 1/12) (/ 1 x))) (log (+ (* x 1/12) (/ 1 x))) (exp (+ (* x 1/12) (/ 1 x))) (* (cbrt (+ (* x 1/12) (/ 1 x))) (cbrt (+ (* x 1/12) (/ 1 x)))) (cbrt (+ (* x 1/12) (/ 1 x))) (pow (+ (* x 1/12) (/ 1 x)) 3) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (+ (* (pow x 3) 1/1728) (/ 1 (pow x 3))) (+ (* x (* x 1/144)) (- (/ 1 (* x x)) 1/12)) (- (* x (* x 1/144)) (/ 1 (* x x))) (- (* x 1/12) (/ 1 x)) (* x 1/12) (* x 1/12) (* x 1/12) (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x)) 0.565 * * * [progress]: adding candidates to table 0.601 * * [progress]: iteration 3 / 4 0.601 * * * [progress]: picking best candidate 0.607 * * * * [pick]: Picked # 0.608 * * * [progress]: localizing error 0.616 * * * [progress]: generating rewritten candidates 0.616 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 0.619 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 0.622 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.646 * * * [progress]: generating series expansions 0.646 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 0.646 * [approximate]: Taking taylor expansion of (* 1/12 x) in (x) around 0 0.646 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.646 * [taylor]: Taking taylor expansion of 1/12 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.646 * [taylor]: Taking taylor expansion of 1/12 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.647 * [approximate]: Taking taylor expansion of (/ 1/12 x) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.647 * [taylor]: Taking taylor expansion of 1/12 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.647 * [taylor]: Taking taylor expansion of 1/12 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [approximate]: Taking taylor expansion of (/ -1/12 x) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.647 * [taylor]: Taking taylor expansion of -1/12 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.647 * [taylor]: Taking taylor expansion of -1/12 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 0.648 * [approximate]: Taking taylor expansion of (* 1/12 x) in (x) around 0 0.648 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.648 * [taylor]: Taking taylor expansion of 1/12 in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.648 * [taylor]: Taking taylor expansion of 1/12 in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.649 * [approximate]: Taking taylor expansion of (/ 1/12 x) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.649 * [taylor]: Taking taylor expansion of 1/12 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.649 * [taylor]: Taking taylor expansion of 1/12 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [approximate]: Taking taylor expansion of (/ -1/12 x) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.649 * [taylor]: Taking taylor expansion of -1/12 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.649 * [taylor]: Taking taylor expansion of -1/12 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.650 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.650 * [approximate]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.650 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.650 * [taylor]: Taking taylor expansion of 1/12 in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.650 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.650 * [taylor]: Taking taylor expansion of 1/12 in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.651 * [approximate]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in (x) around 0 0.651 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.651 * [taylor]: Taking taylor expansion of 1/12 in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.651 * [taylor]: Taking taylor expansion of 1/12 in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.653 * [approximate]: Taking taylor expansion of (pow (sqrt (neg (+ x (* 1/12 (/ 1 x))))) 2) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ x (* 1/12 (/ 1 x))))) 2) in x 0.653 * [taylor]: Taking taylor expansion of (sqrt (neg (+ x (* 1/12 (/ 1 x))))) in x 0.653 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in x 0.653 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of 1/12 in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (pow (sqrt (neg (+ x (* 1/12 (/ 1 x))))) 2) in x 0.653 * [taylor]: Taking taylor expansion of (sqrt (neg (+ x (* 1/12 (/ 1 x))))) in x 0.653 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in x 0.653 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of 1/12 in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.655 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.655 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/12 x) (/ 1 x))) in (x) around 0 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/12 x) (/ 1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.655 * [taylor]: Taking taylor expansion of 1/12 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/12 x) (/ 1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.655 * [taylor]: Taking taylor expansion of 1/12 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.656 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 1/12 (/ 1 x)))) in (x) around 0 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 1/12 (/ 1 x)))) in x 0.656 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of 1/12 in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 1/12 (/ 1 x)))) in x 0.656 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of 1/12 in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.657 * [approximate]: Taking taylor expansion of (sqrt (neg (+ x (* 1/12 (/ 1 x))))) in (x) around 0 0.657 * [taylor]: Taking taylor expansion of (sqrt (neg (+ x (* 1/12 (/ 1 x))))) in x 0.657 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in x 0.657 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.657 * [taylor]: Taking taylor expansion of 1/12 in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (sqrt (neg (+ x (* 1/12 (/ 1 x))))) in x 0.657 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in x 0.657 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.657 * [taylor]: Taking taylor expansion of 1/12 in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.658 * * * [progress]: simplifying candidates 0.660 * [simplify]: Simplifying using # : (* x 1/12) (+ (log x) (log 1/12)) (log (* x 1/12)) (exp (* x 1/12)) (* (* (* x x) x) (* (* 1/12 1/12) 1/12)) (* (cbrt (* x 1/12)) (cbrt (* x 1/12))) (cbrt (* x 1/12)) (* (* (* x 1/12) (* x 1/12)) (* x 1/12)) (sqrt (* x 1/12)) (sqrt (* x 1/12)) (* (sqrt x) (sqrt 1/12)) (* (sqrt x) (sqrt 1/12)) (* x (* (cbrt 1/12) (cbrt 1/12))) (* x (sqrt 1/12)) (* x 1) (* (cbrt x) 1/12) (* (sqrt x) 1/12) (* x 1/12) (* x 1/12) (+ (log x) (log 1/12)) (log (* x 1/12)) (exp (* x 1/12)) (* (* (* x x) x) (* (* 1/12 1/12) 1/12)) (* (cbrt (* x 1/12)) (cbrt (* x 1/12))) (cbrt (* x 1/12)) (* (* (* x 1/12) (* x 1/12)) (* x 1/12)) (sqrt (* x 1/12)) (sqrt (* x 1/12)) (* (sqrt x) (sqrt 1/12)) (* (sqrt x) (sqrt 1/12)) (* x (* (cbrt 1/12) (cbrt 1/12))) (* x (sqrt 1/12)) (* x 1) (* (cbrt x) 1/12) (* (sqrt x) 1/12) (* x 1/12) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x))) (+ 1 1) (+ (log (sqrt (+ (* x 1/12) (/ 1 x)))) (log (sqrt (+ (* x 1/12) (/ 1 x))))) (log (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))) (exp (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))) (* (* (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (+ (* x 1/12) (/ 1 x))))) (* (cbrt (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))) (cbrt (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))))) (cbrt (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))) (* (* (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))) (* (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x))) (sqrt (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))) (sqrt (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (+ (pow (* x 1/12) 3) (pow (/ 1 x) 3))) (sqrt (+ (pow (* x 1/12) 3) (pow (/ 1 x) 3)))) (* (sqrt (+ (* (* x 1/12) (* x 1/12)) (- (* (/ 1 x) (/ 1 x)) (* (* x 1/12) (/ 1 x))))) (sqrt (+ (* (* x 1/12) (* x 1/12)) (- (* (/ 1 x) (/ 1 x)) (* (* x 1/12) (/ 1 x)))))) (* (sqrt (+ (pow (* x 1/12) 3) (pow (/ 1 x) 3))) (sqrt (- (* (* x 1/12) (* x 1/12)) (* (/ 1 x) (/ 1 x))))) (* (sqrt (+ (* (* x 1/12) (* x 1/12)) (- (* (/ 1 x) (/ 1 x)) (* (* x 1/12) (/ 1 x))))) (sqrt (- (* x 1/12) (/ 1 x)))) (* (sqrt (- (* (* x 1/12) (* x 1/12)) (* (/ 1 x) (/ 1 x)))) (sqrt (+ (pow (* x 1/12) 3) (pow (/ 1 x) 3)))) (* (sqrt (- (* x 1/12) (/ 1 x))) (sqrt (+ (* (* x 1/12) (* x 1/12)) (- (* (/ 1 x) (/ 1 x)) (* (* x 1/12) (/ 1 x)))))) (* (sqrt (- (* (* x 1/12) (* x 1/12)) (* (/ 1 x) (/ 1 x)))) (sqrt (- (* (* x 1/12) (* x 1/12)) (* (/ 1 x) (/ 1 x))))) (* (sqrt (- (* x 1/12) (/ 1 x))) (sqrt (- (* x 1/12) (/ 1 x)))) (* (* (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) (cbrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))))) (* (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) (cbrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (* (cbrt (+ (* x 1/12) (/ 1 x))) (cbrt (+ (* x 1/12) (/ 1 x))))) (sqrt (* (cbrt (+ (* x 1/12) (/ 1 x))) (cbrt (+ (* x 1/12) (/ 1 x)))))) (* (sqrt (cbrt (+ (* x 1/12) (/ 1 x)))) (sqrt (cbrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* 1 1) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x 1/12) (/ 1 x))) (* (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (* (cbrt (+ (* x 1/12) (/ 1 x))) (cbrt (+ (* x 1/12) (/ 1 x)))))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt 1)) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x))))) (* (sqrt (+ (* x 1/12) (/ 1 x))) 1) (* (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (cbrt (+ (* x 1/12) (/ 1 x)))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (pow (* x 1/12) 3) (pow (/ 1 x) 3)))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (- (* (* x 1/12) (* x 1/12)) (* (/ 1 x) (/ 1 x))))) (* (sqrt (+ (pow (* x 1/12) 3) (pow (/ 1 x) 3))) (sqrt (+ (* x 1/12) (/ 1 x)))) (* (sqrt (- (* (* x 1/12) (* x 1/12)) (* (/ 1 x) (/ 1 x)))) (sqrt (+ (* x 1/12) (/ 1 x)))) (log (sqrt (+ (* x 1/12) (/ 1 x)))) (exp (sqrt (+ (* x 1/12) (/ 1 x)))) (* (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) (cbrt (sqrt (+ (* x 1/12) (/ 1 x))))) (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) (* (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (* (cbrt (+ (* x 1/12) (/ 1 x))) (cbrt (+ (* x 1/12) (/ 1 x))))) (sqrt (cbrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt 1) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (pow (* x 1/12) 3) (pow (/ 1 x) 3))) (sqrt (+ (* (* x 1/12) (* x 1/12)) (- (* (/ 1 x) (/ 1 x)) (* (* x 1/12) (/ 1 x))))) (sqrt (- (* (* x 1/12) (* x 1/12)) (* (/ 1 x) (/ 1 x)))) (sqrt (- (* x 1/12) (/ 1 x))) (/ 1 2) (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (* 1/12 x) (* 1/12 x) (* 1/12 x) (* 1/12 x) (* 1/12 x) (* 1/12 x) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (- (+ (* 5 (/ (pow NAN 6) (pow x 2))) (+ (* 2 (/ (pow NAN 2) (pow x 2))) (pow NAN 2))) (* 2 (/ (pow NAN 4) x))) (- (+ NAN (+ (* x (pow NAN 3)) (* 1/12 (* (pow x 2) NAN)))) (* 2 (* (pow x 2) (pow NAN 5)))) (- (+ NAN (+ (/ (pow NAN 3) x) (/ NAN (pow x 2)))) (* 2 (/ (pow NAN 5) (pow x 2)))) (- (+ NAN (+ (/ NAN (pow x 2)) (* 2 (/ (pow NAN 5) (pow x 2))))) (/ (pow NAN 3) x)) 0.727 * * [simplify]: iteration 0 : 4892 enodes (cost 1104 ) 0.728 * * [simplify]: iteration 1 : 4892 enodes (cost 1104 ) 0.733 * [simplify]: Simplified to: (* x 1/12) (log (* x 1/12)) (log (* x 1/12)) (pow (exp x) 1/12) (* (pow x 3) 1/1728) (* (cbrt (* x 1/12)) (cbrt (* x 1/12))) (cbrt (* x 1/12)) (* (pow x 3) 1/1728) (sqrt (* x 1/12)) (sqrt (* x 1/12)) (* (sqrt x) (sqrt 1/12)) (* (sqrt x) (sqrt 1/12)) (* x (* (cbrt 1/12) (cbrt 1/12))) (* x (sqrt 1/12)) x (* 1/12 (cbrt x)) (* 1/12 (sqrt x)) (* x 1/12) (* x 1/12) (log (* x 1/12)) (log (* x 1/12)) (pow (exp x) 1/12) (* (pow x 3) 1/1728) (* (cbrt (* x 1/12)) (cbrt (* x 1/12))) (cbrt (* x 1/12)) (* (pow x 3) 1/1728) (sqrt (* x 1/12)) (sqrt (* x 1/12)) (* (sqrt x) (sqrt 1/12)) (* (sqrt x) (sqrt 1/12)) (* x (* (cbrt 1/12) (cbrt 1/12))) (* x (sqrt 1/12)) x (* 1/12 (cbrt x)) (* 1/12 (sqrt x)) (* x 1/12) 1 1 2 1 1 (pow (sqrt (+ (* x 1/12) (/ 1 x))) 4) (+ (* x 1/12) (/ 1 x)) (pow (sqrt (+ (* x 1/12) (/ 1 x))) 4) 2 (log (+ (* x 1/12) (/ 1 x))) (log (+ (* x 1/12) (/ 1 x))) (exp (+ (* x 1/12) (/ 1 x))) (pow (+ (* x 1/12) (/ 1 x)) 3) (pow (sqrt (cbrt (+ (* x 1/12) (/ 1 x)))) 4) (cbrt (+ (* x 1/12) (/ 1 x))) (pow (+ (* x 1/12) (/ 1 x)) 3) (pow (sqrt (+ (* x 1/12) (/ 1 x))) 4) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (+ (* (pow x 3) 1/1728) (/ 1 (pow x 3))) (+ (* x (* x 1/144)) (- (/ 1 (* x x)) 1/12)) (* (sqrt (+ (* (pow x 3) 1/1728) (/ 1 (pow x 3)))) (sqrt (- (* x (* x 1/144)) (/ 1 (* x x))))) (* (sqrt (+ (* x (* x 1/144)) (- (/ 1 (* x x)) 1/12))) (sqrt (- (* x 1/12) (/ 1 x)))) (* (sqrt (+ (* (pow x 3) 1/1728) (/ 1 (pow x 3)))) (sqrt (- (* x (* x 1/144)) (/ 1 (* x x))))) (* (sqrt (+ (* x (* x 1/144)) (- (/ 1 (* x x)) 1/12))) (sqrt (- (* x 1/12) (/ 1 x)))) (- (* x (* x 1/144)) (/ 1 (* x x))) (- (* x 1/12) (/ 1 x)) (pow (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) 4) (pow (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) 2) (pow (sqrt (cbrt (+ (* x 1/12) (/ 1 x)))) 4) (cbrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) 1 (+ (* x 1/12) (/ 1 x)) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) 1 (+ (* x 1/12) (/ 1 x)) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) 1 2 1 (pow (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) 5) (* (sqrt (+ (* x 1/12) (/ 1 x))) (fabs (cbrt (+ (* x 1/12) (/ 1 x))))) (pow (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) 3) (sqrt (+ (* x 1/12) (/ 1 x))) (pow (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) 3) (sqrt (+ (* x 1/12) (/ 1 x))) (pow (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) 4) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (cbrt (+ (* x 1/12) (/ 1 x))))) (pow (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) 3) (+ (* x 1/12) (/ 1 x)) (pow (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) 3) (+ (* x 1/12) (/ 1 x)) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* (pow x 3) 1/1728) (/ 1 (pow x 3))))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (- (* x (* x 1/144)) (/ 1 (* x x))))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* (pow x 3) 1/1728) (/ 1 (pow x 3))))) (* (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (- (* x (* x 1/144)) (/ 1 (* x x))))) (log (sqrt (+ (* x 1/12) (/ 1 x)))) (exp (sqrt (+ (* x 1/12) (/ 1 x)))) (pow (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) 2) (cbrt (sqrt (+ (* x 1/12) (/ 1 x)))) (pow (sqrt (+ (* x 1/12) (/ 1 x))) 3) (fabs (cbrt (+ (* x 1/12) (/ 1 x)))) (sqrt (cbrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) 1 (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* (pow x 3) 1/1728) (/ 1 (pow x 3)))) (sqrt (+ (* x (* x 1/144)) (- (/ 1 (* x x)) 1/12))) (sqrt (- (* x (* x 1/144)) (/ 1 (* x x)))) (sqrt (- (* x 1/12) (/ 1 x))) 1/2 (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (sqrt (sqrt (+ (* x 1/12) (/ 1 x)))) (* x 1/12) (* x 1/12) (* x 1/12) (* x 1/12) (* x 1/12) (* x 1/12) (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x)) (+ (* 5 (/ (pow NAN 6) (* x x))) (+ (* NAN NAN) (* 2 (* (/ NAN x) (- (/ NAN x) (pow NAN 3)))))) (+ NAN (+ (* x (pow NAN 3)) (* (* x x) (- (* 1/12 NAN) (* 2 (pow NAN 5)))))) (+ NAN (+ (/ (pow NAN 3) x) (- (/ NAN (* x x)) (* 2 (/ (pow NAN 5) (* x x)))))) (+ NAN (+ (/ NAN (* x x)) (- (* 2 (/ (pow NAN 5) (* x x))) (/ (pow NAN 3) x)))) 0.733 * * * [progress]: adding candidates to table 0.868 * * [progress]: iteration 4 / 4 0.868 * * * [progress]: picking best candidate 0.872 * * * * [pick]: Picked # 0.872 * * * [progress]: localizing error 0.877 * * * [progress]: generating rewritten candidates 0.877 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.884 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.888 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.899 * * * [progress]: generating series expansions 0.900 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.900 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in (x) around 0 0.900 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.900 * [taylor]: Taking taylor expansion of 1 in x 0.900 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.900 * [taylor]: Taking taylor expansion of (exp x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.900 * [taylor]: Taking taylor expansion of 1 in x 0.900 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.900 * [taylor]: Taking taylor expansion of (exp x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.901 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.901 * [taylor]: Taking taylor expansion of 1 in x 0.901 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.901 * [taylor]: Taking taylor expansion of 1 in x 0.901 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.903 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in (x) around 0 0.903 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.903 * [taylor]: Taking taylor expansion of 1 in x 0.903 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.903 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.903 * [taylor]: Taking taylor expansion of -1 in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.903 * [taylor]: Taking taylor expansion of 1 in x 0.903 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.903 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.903 * [taylor]: Taking taylor expansion of -1 in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.905 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.905 * [approximate]: Taking taylor expansion of (/ 1.0 (exp x)) in (x) around 0 0.905 * [taylor]: Taking taylor expansion of (/ 1.0 (exp x)) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (exp x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (/ 1.0 (exp x)) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (exp x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.906 * [approximate]: Taking taylor expansion of (/ 1.0 (exp (/ 1 x))) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ 1 x))) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ 1 x))) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.907 * [approximate]: Taking taylor expansion of (/ 1.0 (exp (/ -1 x))) in (x) around 0 0.907 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ -1 x))) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.907 * [taylor]: Taking taylor expansion of -1 in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ -1 x))) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.908 * [taylor]: Taking taylor expansion of -1 in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.911 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.911 * [approximate]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in (x) around 0 0.911 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in x 0.911 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.911 * [taylor]: Taking taylor expansion of 1 in x 0.911 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.911 * [taylor]: Taking taylor expansion of (exp x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in x 0.912 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.912 * [taylor]: Taking taylor expansion of 1 in x 0.912 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.912 * [taylor]: Taking taylor expansion of (exp x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.913 * [approximate]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in x 0.913 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.913 * [taylor]: Taking taylor expansion of 1 in x 0.913 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in x 0.913 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.913 * [taylor]: Taking taylor expansion of 1 in x 0.913 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.916 * [approximate]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in (x) around 0 0.916 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in x 0.916 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.916 * [taylor]: Taking taylor expansion of 1 in x 0.916 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.917 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in x 0.917 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.917 * [taylor]: Taking taylor expansion of 1 in x 0.917 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.917 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.920 * * * [progress]: simplifying candidates 0.922 * [simplify]: Simplifying using # : (/ (exp 1) (exp (/ 1.0 (exp x)))) (log (- 1 (/ 1.0 (exp x)))) (exp (- 1 (/ 1.0 (exp x)))) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x))))) (cbrt (- 1 (/ 1.0 (exp x)))) (* (* (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x)))) (- 1 (/ 1.0 (exp x)))) (sqrt (- 1 (/ 1.0 (exp x)))) (sqrt (- 1 (/ 1.0 (exp x)))) (- (pow 1 3) (pow (/ 1.0 (exp x)) 3)) (+ (* 1 1) (+ (* (/ 1.0 (exp x)) (/ 1.0 (exp x))) (* 1 (/ 1.0 (exp x))))) (neg (/ 1.0 (exp x))) (- (* 1 1) (* (/ 1.0 (exp x)) (/ 1.0 (exp x)))) (+ 1 (/ 1.0 (exp x))) (+ (sqrt 1) (sqrt (/ 1.0 (exp x)))) (- (sqrt 1) (sqrt (/ 1.0 (exp x)))) (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x)))) (- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x)))) (+ 1 (sqrt (/ 1.0 (exp x)))) (- 1 (sqrt (/ 1.0 (exp x)))) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ 1.0 (exp x))) (- (log 1.0) x) (log (/ 1.0 (exp x))) (exp (/ 1.0 (exp x))) (/ (* (* 1.0 1.0) 1.0) (* (* (exp x) (exp x)) (exp x))) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x)))) (cbrt (/ 1.0 (exp x))) (* (* (/ 1.0 (exp x)) (/ 1.0 (exp x))) (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x))) (neg 1.0) (neg (exp x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt 1.0) (cbrt (exp x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (exp x))) (/ (cbrt 1.0) (sqrt (exp x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (exp x)) (/ (sqrt 1.0) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt 1.0) (cbrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (exp x)) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (/ 1.0 (cbrt (exp x))) (/ 1 (sqrt (exp x))) (/ 1.0 (sqrt (exp x))) (/ 1 1) (/ 1.0 (exp x)) (/ 1 (exp x)) (/ (exp x) 1.0) (/ 1.0 (* (cbrt (exp x)) (cbrt (exp x)))) (/ 1.0 (sqrt (exp x))) (/ 1.0 1) (/ (exp x) (cbrt 1.0)) (/ (exp x) (sqrt 1.0)) (/ (exp x) 1.0) (neg 1) (neg (log (- 1 (/ 1.0 (exp x))))) (- 0 (log (- 1 (/ 1.0 (exp x))))) (- (log 1) (log (- 1 (/ 1.0 (exp x))))) (log (/ 1 (- 1 (/ 1.0 (exp x))))) (exp (/ 1 (- 1 (/ 1.0 (exp x))))) (/ (* (* 1 1) 1) (* (* (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x)))) (- 1 (/ 1.0 (exp x))))) (* (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) (* (* (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (- 1 (/ 1.0 (exp x))))) (/ 1 (- 1 (/ 1.0 (exp x))))) (sqrt (/ 1 (- 1 (/ 1.0 (exp x))))) (sqrt (/ 1 (- 1 (/ 1.0 (exp x))))) (neg 1) (neg (- 1 (/ 1.0 (exp x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ (cbrt 1) (cbrt (- 1 (/ 1.0 (exp x))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- 1 (/ 1.0 (exp x))))) (/ (cbrt 1) (sqrt (- 1 (/ 1.0 (exp x))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- 1 (/ 1.0 (exp x)))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ (cbrt 1) (- (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ (cbrt 1) (- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ (* (cbrt 1) (cbrt 1)) (+ 1 (sqrt (/ 1.0 (exp x))))) (/ (cbrt 1) (- 1 (sqrt (/ 1.0 (exp x))))) (/ (* (cbrt 1) (cbrt 1)) (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ (cbrt 1) (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- 1 (/ 1.0 (exp x)))) (/ (sqrt 1) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ (sqrt 1) (cbrt (- 1 (/ 1.0 (exp x))))) (/ (sqrt 1) (sqrt (- 1 (/ 1.0 (exp x))))) (/ (sqrt 1) (sqrt (- 1 (/ 1.0 (exp x))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- 1 (/ 1.0 (exp x)))) (/ (sqrt 1) (+ (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ (sqrt 1) (- (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ (sqrt 1) (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ (sqrt 1) (- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ (sqrt 1) (+ 1 (sqrt (/ 1.0 (exp x))))) (/ (sqrt 1) (- 1 (sqrt (/ 1.0 (exp x))))) (/ (sqrt 1) (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ (sqrt 1) (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- 1 (/ 1.0 (exp x)))) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (cbrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 1) (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (+ (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ 1 (- (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ 1 (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 1) (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (- 1 (/ 1.0 (exp x)))) (/ (- 1 (/ 1.0 (exp x))) 1) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 1) (/ 1 (+ (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ 1 (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 1) (/ (- 1 (/ 1.0 (exp x))) (cbrt 1)) (/ (- 1 (/ 1.0 (exp x))) (sqrt 1)) (/ (- 1 (/ 1.0 (exp x))) 1) (/ 1 (- (pow 1 3) (pow (/ 1.0 (exp x)) 3))) (/ 1 (- (* 1 1) (* (/ 1.0 (exp x)) (/ 1.0 (exp x))))) (- (+ (* 0.16666666666666666 (pow x 3)) (* 1.0 x)) (* 0.5 (pow x 2))) (- 1 (* 1.0 (/ 1 (exp x)))) (- 1 (* 1.0 (/ 1 (exp x)))) (- (+ (* 0.5 (pow x 2)) 1.0) (* 1.0 x)) (/ 1.0 (exp x)) (/ 1.0 (exp x)) (+ 0.5 (+ (* 0.08333333333333334 x) (* 1.0 (/ 1 x)))) (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) 0.964 * * [simplify]: iteration 0 : 5114 enodes (cost 1131 ) 0.969 * [simplify]: Simplified to: (/ E (exp (/ 1.0 (exp x)))) (log (- 1 (/ 1.0 (exp x)))) (/ E (exp (/ 1.0 (exp x)))) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x))))) (cbrt (- 1 (/ 1.0 (exp x)))) (pow (- 1 (/ 1.0 (exp x))) 3) (sqrt (- 1 (/ 1.0 (exp x)))) (sqrt (- 1 (/ 1.0 (exp x)))) (- 1 (pow (/ 1.0 (exp x)) 3)) (+ 1 (* 1.0 (/ (+ 1 (/ 1.0 (exp x))) (exp x)))) (/ (neg 1.0) (exp x)) (- 1 (* 1.0 (* 1.0 (exp (* x -2))))) (+ 1 (/ 1.0 (exp x))) (+ 1 (sqrt (/ 1.0 (exp x)))) (- 1 (sqrt (/ 1.0 (exp x)))) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ (sqrt 1.0) (sqrt (exp x)))) (+ 1 (sqrt (/ 1.0 (exp x)))) (- 1 (sqrt (/ 1.0 (exp x)))) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ 1.0 (exp x))) (- (log 1.0) x) (- (log 1.0) x) (exp (/ 1.0 (exp x))) (pow (/ 1.0 (exp x)) 3) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x)))) (cbrt (/ 1.0 (exp x))) (pow (/ 1.0 (exp x)) 3) (sqrt (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x))) (neg 1.0) (neg (exp x)) (* (cbrt 1.0) (/ (cbrt 1.0) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (cbrt 1.0) (cbrt (exp x))) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt (exp x)))) (/ (cbrt 1.0) (sqrt (exp x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (exp x)) (/ (sqrt 1.0) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt 1.0) (cbrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x))) (sqrt 1.0) (/ (sqrt 1.0) (exp x)) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (/ 1.0 (cbrt (exp x))) (/ 1 (sqrt (exp x))) (/ 1.0 (sqrt (exp x))) 1 (/ 1.0 (exp x)) (exp (neg x)) (/ (exp x) 1.0) (/ 1.0 (* (cbrt (exp x)) (cbrt (exp x)))) (/ 1.0 (sqrt (exp x))) 1.0 (/ (exp x) (cbrt 1.0)) (/ (exp x) (sqrt 1.0)) (/ (exp x) 1.0) -1 (neg (log (- 1 (/ 1.0 (exp x))))) (neg (log (- 1 (/ 1.0 (exp x))))) (neg (log (- 1 (/ 1.0 (exp x))))) (neg (log (- 1 (/ 1.0 (exp x))))) (exp (/ 1 (- 1 (/ 1.0 (exp x))))) (/ 1 (pow (- 1 (/ 1.0 (exp x))) 3)) (* (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) (/ 1 (pow (- 1 (/ 1.0 (exp x))) 3)) (sqrt (/ 1 (- 1 (/ 1.0 (exp x))))) (sqrt (/ 1 (- 1 (/ 1.0 (exp x))))) -1 (neg (- 1 (/ 1.0 (exp x)))) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x))))))) (/ (cbrt 1) (cbrt (- 1 (/ 1.0 (exp x))))) (* (cbrt 1) (/ (cbrt 1) (sqrt (- 1 (/ 1.0 (exp x)))))) (/ (cbrt 1) (sqrt (- 1 (/ 1.0 (exp x))))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (- 1 (/ 1.0 (exp x)))) (* (cbrt 1) (/ (cbrt 1) (+ 1 (sqrt (/ 1.0 (exp x)))))) (/ (cbrt 1) (- 1 (sqrt (/ 1.0 (exp x))))) (* (cbrt 1) (/ (cbrt 1) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))) (/ (cbrt 1) (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (* (cbrt 1) (/ (cbrt 1) (+ 1 (sqrt (/ 1.0 (exp x)))))) (/ (cbrt 1) (- 1 (sqrt (/ 1.0 (exp x))))) (* (cbrt 1) (/ (cbrt 1) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))) (/ (cbrt 1) (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (- 1 (/ 1.0 (exp x)))) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (cbrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) 1 (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) 1 (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (cbrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) 1 (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) 1 (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (- 1 (/ 1.0 (exp x)))) (- 1 (/ 1.0 (exp x))) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) 1 (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) 1 (/ (- 1 (/ 1.0 (exp x))) (cbrt 1)) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) (/ 1 (- 1 (pow (/ 1.0 (exp x)) 3))) (/ 1 (- 1 (* 1.0 (* 1.0 (exp (* x -2)))))) (* x (+ 1.0 (* x (- (* x 0.16666666666666666) 0.5)))) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) (+ 1.0 (* x (- (* x 0.5) 1.0))) (/ 1.0 (exp x)) (/ 1.0 (exp x)) (+ 0.5 (+ (* x 0.08333333333333334) (/ 1.0 x))) (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (- 1 (/ 1.0 (exp x)))) 0.969 * * * [progress]: adding candidates to table 1.062 * [progress]: [Phase 3 of 3] Extracting. 1.062 * * [regime]: Finding splitpoints for: (# # #) 1.063 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.063 * * * * [regimes]: Trying to branch on x from (# # #) 1.094 * * * [regime]: Found split indices: #