7.377 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying using # : (/ (exp x) (- (exp x) 1.0)) 0.041 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.043 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.044 * * [simplify]: iteration 2 : 8 enodes (cost 4 ) 0.044 * [simplify]: Simplified to: (/ (exp x) (- (exp x) 1.0)) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.065 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (exp x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (exp x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.071 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.075 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.075 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.075 * [taylor]: Taking taylor expansion of -1 in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.076 * [taylor]: Taking taylor expansion of -1 in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in (x) around 0 0.080 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.080 * [taylor]: Taking taylor expansion of (exp x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (exp x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.082 * [taylor]: Taking taylor expansion of (exp x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.082 * [taylor]: Taking taylor expansion of (exp x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.095 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.095 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.096 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.096 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.102 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.102 * [taylor]: Taking taylor expansion of -1 in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.103 * [taylor]: Taking taylor expansion of -1 in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.104 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.104 * [taylor]: Taking taylor expansion of -1 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.104 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.104 * [taylor]: Taking taylor expansion of -1 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * * * [progress]: simplifying candidates 0.111 * [simplify]: Simplifying using # : (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (fma 1 (exp x) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma 1 (exp x) (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma 1 (exp x) (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (expm1 (- (exp x) 1.0)) (log1p (- (exp x) 1.0)) (- 1.0) (- 1.0) (- 1.0) (/ (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))) (- 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) (- 1.0) (expm1 (/ (exp x) (- (exp x) 1.0))) (log1p (/ (exp x) (- (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))) (- (exp x)) (- (- (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)) 0.116 * * [simplify]: iteration 0 : 237 enodes (cost 520 ) 0.121 * * [simplify]: iteration 1 : 786 enodes (cost 429 ) 0.139 * * [simplify]: iteration 2 : 4651 enodes (cost 416 ) 0.294 * * [simplify]: iteration 3 : 5001 enodes (cost 404 ) 0.296 * [simplify]: Simplified to: (fma (pow (cbrt (exp x)) 3) 1 (- 1.0)) (- 1.0 1.0) (fma (pow (cbrt (exp x)) 3) 1 (- 1.0)) (- 1.0 1.0) (fma (pow (cbrt (exp x)) 3) 1 (- 1.0)) (- 1.0 1.0) (- (exp x) 1.0) (- 1.0 1.0) (- (exp x) 1.0) (- 1.0 1.0) (- (exp x) 1.0) (- 1.0 1.0) (- (exp x) 1.0) (- 1.0 1.0) (- (exp x) 1.0) (- 1.0 1.0) (- (exp x) 1.0) (- 1.0 1.0) (expm1 (- (exp x) 1.0)) (log1p (- (exp x) 1.0)) (- 1.0) (- 1.0) (- 1.0) (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)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))) (- 1.0) (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (- 1.0) (expm1 (/ (exp x) (- (exp x) 1.0))) (log1p (/ (exp x) (- (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))) (- (exp x)) (- (- (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) (fma (- 1.0) 1.0 (exp (+ x x)))) (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) (- (exp x) 1.0) (- (exp x) 1.0) (+ (fma 1/12 x (/ 1 x)) 1/2) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.297 * * * [progress]: adding candidates to table 0.434 * * [progress]: iteration 2 / 4 0.434 * * * [progress]: picking best candidate 0.439 * * * * [pick]: Picked # 0.439 * * * [progress]: localizing error 0.444 * * * [progress]: generating rewritten candidates 0.444 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.445 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.448 * * * [progress]: generating series expansions 0.448 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.448 * [approximate]: Taking taylor expansion of (fma 1/12 x (/ 1 x)) in (x) around 0 0.448 * [taylor]: Taking taylor expansion of (fma 1/12 x (/ 1 x)) in x 0.448 * [taylor]: Rewrote expression to (+ (* 1/12 x) (/ 1 x)) 0.448 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.448 * [taylor]: Taking taylor expansion of 1/12 in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (fma 1/12 x (/ 1 x)) in x 0.449 * [taylor]: Rewrote expression to (+ (* 1/12 x) (/ 1 x)) 0.449 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.449 * [taylor]: Taking taylor expansion of 1/12 in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.460 * [approximate]: Taking taylor expansion of (fma 1/12 (/ 1 x) x) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (fma 1/12 (/ 1 x) x) in x 0.461 * [taylor]: Rewrote expression to (+ (* 1/12 (/ 1 x)) x) 0.461 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of 1/12 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (fma 1/12 (/ 1 x) x) in x 0.461 * [taylor]: Rewrote expression to (+ (* 1/12 (/ 1 x)) x) 0.461 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of 1/12 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.473 * [approximate]: Taking taylor expansion of (fma 1/12 (/ -1 x) (* -1 x)) in (x) around 0 0.473 * [taylor]: Taking taylor expansion of (fma 1/12 (/ -1 x) (* -1 x)) in x 0.473 * [taylor]: Rewrote expression to (+ (* 1/12 (/ -1 x)) (* -1 x)) 0.474 * [taylor]: Taking taylor expansion of (* 1/12 (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of 1/12 in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (fma 1/12 (/ -1 x) (* -1 x)) in x 0.474 * [taylor]: Rewrote expression to (+ (* 1/12 (/ -1 x)) (* -1 x)) 0.474 * [taylor]: Taking taylor expansion of (* 1/12 (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of 1/12 in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.496 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.497 * [approximate]: Taking taylor expansion of (+ 1/2 (fma 1/12 x (/ 1 x))) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (+ 1/2 (fma 1/12 x (/ 1 x))) in x 0.497 * [taylor]: Taking taylor expansion of 1/2 in x 0.497 * [taylor]: Taking taylor expansion of (fma 1/12 x (/ 1 x)) in x 0.497 * [taylor]: Rewrote expression to (+ (* 1/12 x) (/ 1 x)) 0.497 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.497 * [taylor]: Taking taylor expansion of 1/12 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (+ 1/2 (fma 1/12 x (/ 1 x))) in x 0.497 * [taylor]: Taking taylor expansion of 1/2 in x 0.497 * [taylor]: Taking taylor expansion of (fma 1/12 x (/ 1 x)) in x 0.497 * [taylor]: Rewrote expression to (+ (* 1/12 x) (/ 1 x)) 0.497 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.497 * [taylor]: Taking taylor expansion of 1/12 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.501 * [approximate]: Taking taylor expansion of (+ (fma 1/12 (/ 1 x) x) 1/2) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (+ (fma 1/12 (/ 1 x) x) 1/2) in x 0.501 * [taylor]: Taking taylor expansion of (fma 1/12 (/ 1 x) x) in x 0.501 * [taylor]: Rewrote expression to (+ (* 1/12 (/ 1 x)) x) 0.501 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of 1/12 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of 1/2 in x 0.501 * [taylor]: Taking taylor expansion of (+ (fma 1/12 (/ 1 x) x) 1/2) in x 0.501 * [taylor]: Taking taylor expansion of (fma 1/12 (/ 1 x) x) in x 0.502 * [taylor]: Rewrote expression to (+ (* 1/12 (/ 1 x)) x) 0.502 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of 1/12 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of 1/2 in x 0.506 * [approximate]: Taking taylor expansion of (+ (fma 1/12 (/ -1 x) (* -1 x)) 1/2) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (+ (fma 1/12 (/ -1 x) (* -1 x)) 1/2) in x 0.506 * [taylor]: Taking taylor expansion of (fma 1/12 (/ -1 x) (* -1 x)) in x 0.506 * [taylor]: Rewrote expression to (+ (* 1/12 (/ -1 x)) (* -1 x)) 0.506 * [taylor]: Taking taylor expansion of (* 1/12 (/ -1 x)) in x 0.506 * [taylor]: Taking taylor expansion of 1/12 in x 0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of 1/2 in x 0.506 * [taylor]: Taking taylor expansion of (+ (fma 1/12 (/ -1 x) (* -1 x)) 1/2) in x 0.507 * [taylor]: Taking taylor expansion of (fma 1/12 (/ -1 x) (* -1 x)) in x 0.507 * [taylor]: Rewrote expression to (+ (* 1/12 (/ -1 x)) (* -1 x)) 0.507 * [taylor]: Taking taylor expansion of (* 1/12 (/ -1 x)) in x 0.507 * [taylor]: Taking taylor expansion of 1/12 in x 0.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 1/2 in x 0.511 * * * [progress]: simplifying candidates 0.512 * [simplify]: Simplifying using # : (expm1 (fma 1/12 x (/ 1 x))) (log1p (fma 1/12 x (/ 1 x))) (* 1/12 x) (log (fma 1/12 x (/ 1 x))) (exp (fma 1/12 x (/ 1 x))) (* (cbrt (fma 1/12 x (/ 1 x))) (cbrt (fma 1/12 x (/ 1 x)))) (cbrt (fma 1/12 x (/ 1 x))) (* (* (fma 1/12 x (/ 1 x)) (fma 1/12 x (/ 1 x))) (fma 1/12 x (/ 1 x))) (sqrt (fma 1/12 x (/ 1 x))) (sqrt (fma 1/12 x (/ 1 x))) (expm1 (+ (fma 1/12 x (/ 1 x)) 1/2)) (log1p (+ (fma 1/12 x (/ 1 x)) 1/2)) (* (exp (fma 1/12 x (/ 1 x))) (exp 1/2)) (log (+ (fma 1/12 x (/ 1 x)) 1/2)) (exp (+ (fma 1/12 x (/ 1 x)) 1/2)) (* (cbrt (+ (fma 1/12 x (/ 1 x)) 1/2)) (cbrt (+ (fma 1/12 x (/ 1 x)) 1/2))) (cbrt (+ (fma 1/12 x (/ 1 x)) 1/2)) (* (* (+ (fma 1/12 x (/ 1 x)) 1/2) (+ (fma 1/12 x (/ 1 x)) 1/2)) (+ (fma 1/12 x (/ 1 x)) 1/2)) (sqrt (+ (fma 1/12 x (/ 1 x)) 1/2)) (sqrt (+ (fma 1/12 x (/ 1 x)) 1/2)) (+ (pow (fma 1/12 x (/ 1 x)) 3) (pow 1/2 3)) (+ (* (fma 1/12 x (/ 1 x)) (fma 1/12 x (/ 1 x))) (- (* 1/2 1/2) (* (fma 1/12 x (/ 1 x)) 1/2))) (- (* (fma 1/12 x (/ 1 x)) (fma 1/12 x (/ 1 x))) (* 1/2 1/2)) (- (fma 1/12 x (/ 1 x)) 1/2) (+ (fma 1/12 x (/ 1 x)) 1/2) (+ (/ 1 x) 1/2) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) 0.515 * * [simplify]: iteration 0 : 90 enodes (cost 126 ) 0.518 * * [simplify]: iteration 1 : 306 enodes (cost 119 ) 0.523 * * [simplify]: iteration 2 : 1283 enodes (cost 117 ) 0.548 * * [simplify]: iteration 3 : 5001 enodes (cost 116 ) 0.549 * [simplify]: Simplified to: (expm1 (fma 1/12 x (/ 1 x))) (log1p (fma 1/12 x (/ 1 x))) (* 1/12 x) (log (fma 1/12 x (/ 1 x))) (exp (fma 1/12 x (/ 1 x))) (* (cbrt (fma 1/12 x (/ 1 x))) (cbrt (fma 1/12 x (/ 1 x)))) (cbrt (fma 1/12 x (/ 1 x))) (pow (fma 1/12 x (/ 1 x)) 3) (sqrt (fma 1/12 x (/ 1 x))) (sqrt (fma 1/12 x (/ 1 x))) (expm1 (+ (fma 1/12 x (/ 1 x)) 1/2)) (log1p (+ (fma 1/12 x (/ 1 x)) 1/2)) (exp (+ (fma 1/12 x (/ 1 x)) 1/2)) (log (+ (fma 1/12 x (/ 1 x)) 1/2)) (exp (+ (fma 1/12 x (/ 1 x)) 1/2)) (* (cbrt (+ (fma 1/12 x (/ 1 x)) 1/2)) (cbrt (+ (fma 1/12 x (/ 1 x)) 1/2))) (cbrt (+ (fma 1/12 x (/ 1 x)) 1/2)) (pow (+ (fma 1/12 x (/ 1 x)) 1/2) 3) (sqrt (+ (fma 1/12 x (/ 1 x)) 1/2)) (sqrt (+ (fma 1/12 x (/ 1 x)) 1/2)) (+ (pow (fma 1/12 x (/ 1 x)) 3) 1/8) (fma (fma 1/12 x (/ 1 x)) (- (fma 1/12 x (/ 1 x)) 1/2) 1/4) (- (* (fma 1/12 x (/ 1 x)) (fma 1/12 x (/ 1 x))) 1/4) (- (fma 1/12 x (/ 1 x)) 1/2) (+ (fma 1/12 x (/ 1 x)) 1/2) (+ (/ 1 x) 1/2) (fma 1/12 x (/ 1 x)) (fma 1/12 x (/ 1 x)) (fma 1/12 x (/ 1 x)) (+ (fma 1/12 x (/ 1 x)) 1/2) (+ (fma 1/12 x (/ 1 x)) 1/2) (+ (fma 1/12 x (/ 1 x)) 1/2) 0.550 * * * [progress]: adding candidates to table 0.607 * * [progress]: iteration 3 / 4 0.607 * * * [progress]: picking best candidate 0.613 * * * * [pick]: Picked # 0.613 * * * [progress]: localizing error 0.618 * * * [progress]: generating rewritten candidates 0.618 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.629 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.631 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.654 * * * [progress]: generating series expansions 0.654 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.654 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in (x) around 0 0.655 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.655 * [taylor]: Taking taylor expansion of 1 in x 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.655 * [taylor]: Taking taylor expansion of (exp x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.655 * [taylor]: Taking taylor expansion of 1 in x 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.655 * [taylor]: Taking taylor expansion of (exp x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.672 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in (x) around 0 0.672 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.672 * [taylor]: Taking taylor expansion of 1 in x 0.672 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.673 * [taylor]: Taking taylor expansion of 1 in x 0.673 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.673 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.673 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.683 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.683 * [taylor]: Taking taylor expansion of 1 in x 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.683 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.683 * [taylor]: Taking taylor expansion of 1 in x 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.683 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.683 * [taylor]: Taking taylor expansion of -1 in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.693 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.693 * [approximate]: Taking taylor expansion of (/ 1.0 (exp x)) in (x) around 0 0.693 * [taylor]: Taking taylor expansion of (/ 1.0 (exp x)) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (exp x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (/ 1.0 (exp x)) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (exp x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.701 * [approximate]: Taking taylor expansion of (/ 1.0 (exp (/ 1 x))) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ 1 x))) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ 1 x))) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.703 * [approximate]: Taking taylor expansion of (/ 1.0 (exp (/ -1 x))) in (x) around 0 0.703 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ -1 x))) in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.703 * [taylor]: Taking taylor expansion of -1 in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ -1 x))) in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.704 * [taylor]: Taking taylor expansion of -1 in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.706 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.706 * [approximate]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in x 0.706 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.706 * [taylor]: Taking taylor expansion of 1 in x 0.706 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.706 * [taylor]: Taking taylor expansion of (exp x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in x 0.710 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.710 * [taylor]: Taking taylor expansion of 1 in x 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.710 * [taylor]: Taking taylor expansion of (exp x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.726 * [approximate]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in (x) around 0 0.726 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in x 0.726 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.726 * [taylor]: Taking taylor expansion of 1 in x 0.726 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.727 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in x 0.727 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.727 * [taylor]: Taking taylor expansion of 1 in x 0.727 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.727 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.744 * [approximate]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in (x) around 0 0.745 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in x 0.745 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.745 * [taylor]: Taking taylor expansion of 1 in x 0.745 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.745 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.745 * [taylor]: Taking taylor expansion of -1 in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in x 0.746 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.746 * [taylor]: Taking taylor expansion of 1 in x 0.746 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.746 * [taylor]: Taking taylor expansion of 1.0 in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.746 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.746 * [taylor]: Taking taylor expansion of -1 in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.758 * * * [progress]: simplifying candidates 0.760 * [simplify]: Simplifying using # : (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (/ 1.0 (exp x))) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x))))))) (fma (- (cbrt (/ 1.0 (exp x)))) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x)))) (* (cbrt (/ 1.0 (exp x))) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x)))))) (fma (- (sqrt (/ 1.0 (exp x)))) (sqrt (/ 1.0 (exp x))) (* (sqrt (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (cbrt 1.0) (cbrt (exp x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (exp x)) (cbrt (exp x))))))) (fma (- (/ (cbrt 1.0) (cbrt (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)) (* (cbrt (exp x)) (cbrt (exp x)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (cbrt 1.0) (sqrt (exp x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (exp x)))))) (fma (- (/ (cbrt 1.0) (sqrt (exp x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (exp x))) (* (/ (cbrt 1.0) (sqrt (exp x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (exp x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (cbrt 1.0) (exp x)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (fma (- (/ (cbrt 1.0) (exp x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) (exp x)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (sqrt 1.0) (cbrt (exp x))) (/ (sqrt 1.0) (* (cbrt (exp x)) (cbrt (exp x))))))) (fma (- (/ (sqrt 1.0) (cbrt (exp x)))) (/ (sqrt 1.0) (* (cbrt (exp x)) (cbrt (exp x)))) (* (/ (sqrt 1.0) (cbrt (exp x))) (/ (sqrt 1.0) (* (cbrt (exp x)) (cbrt (exp x)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (sqrt 1.0) (sqrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x)))))) (fma (- (/ (sqrt 1.0) (sqrt (exp x)))) (/ (sqrt 1.0) (sqrt (exp x))) (* (/ (sqrt 1.0) (sqrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (sqrt 1.0) (exp x)) (/ (sqrt 1.0) 1)))) (fma (- (/ (sqrt 1.0) (exp x))) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) (exp x)) (/ (sqrt 1.0) 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ 1.0 (cbrt (exp x))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x))))))) (fma (- (/ 1.0 (cbrt (exp x)))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (* (/ 1.0 (cbrt (exp x))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ 1.0 (sqrt (exp x))) (/ 1 (sqrt (exp x)))))) (fma (- (/ 1.0 (sqrt (exp x)))) (/ 1 (sqrt (exp x))) (* (/ 1.0 (sqrt (exp x))) (/ 1 (sqrt (exp x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ 1.0 (exp x)) (/ 1 1)))) (fma (- (/ 1.0 (exp x))) (/ 1 1) (* (/ 1.0 (exp x)) (/ 1 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ 1.0 (exp x)) 1))) (fma (- (/ 1.0 (exp x))) 1 (* (/ 1.0 (exp x)) 1)) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ 1 (exp x)) 1.0))) (fma (- (/ 1 (exp x))) 1.0 (* (/ 1 (exp x)) 1.0)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (/ 1.0 (exp x))) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x))))))) (fma (- (cbrt (/ 1.0 (exp x)))) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x)))) (* (cbrt (/ 1.0 (exp x))) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x)))))) (fma (- (sqrt (/ 1.0 (exp x)))) (sqrt (/ 1.0 (exp x))) (* (sqrt (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x))))) (fma (sqrt 1) (sqrt 1) (- (* (/ (cbrt 1.0) (cbrt (exp x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (exp x)) (cbrt (exp x))))))) (fma (- (/ (cbrt 1.0) (cbrt (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)) (* (cbrt (exp x)) (cbrt (exp x)))))) (fma (sqrt 1) (sqrt 1) (- (* (/ (cbrt 1.0) 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1.0) (cbrt (exp x))) 3)) (* (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (+ (- (/ 1.0 (cbrt (exp x)))) (/ 1.0 (cbrt (exp x))))) (- 1 (* (/ 1.0 (sqrt (exp x))) (/ 1 (sqrt (exp x))))) (* (/ 1.0 (sqrt (exp x))) (+ (- (/ 1 (sqrt (exp x)))) (/ 1 (sqrt (exp x))))) (- 1 (/ 1.0 (exp x))) (* (/ 1.0 (exp x)) (+ (- 1) 1)) (- 1 (pow (/ (cbrt 1.0) (cbrt (exp x))) 3)) (* (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (+ (- (/ 1.0 (cbrt (exp x)))) (/ 1.0 (cbrt (exp x))))) (- 1 (* (/ 1.0 (sqrt (exp x))) (/ 1 (sqrt (exp x))))) (* (/ 1.0 (sqrt (exp x))) (+ (- (/ 1 (sqrt (exp x)))) (/ 1 (sqrt (exp x))))) (- 1 (/ 1.0 (exp x))) (* (/ 1.0 (exp x)) (+ (- 1) 1)) (- 1 (/ 1.0 (exp x))) (* (/ 1.0 (exp x)) (+ (- 1) 1)) (- 1 (/ 1.0 (exp x))) (* (/ 1.0 (exp x)) (+ (- 1) 1)) (expm1 (- 1 (/ 1.0 (exp x)))) (log1p (- 1 (/ 1.0 (exp x)))) (- (/ 1.0 (exp x))) (- (/ 1.0 (exp x))) (- (/ 1.0 (exp x))) (exp (- 1 (/ 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)))) (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)) (fma (/ 1.0 (exp x)) (+ 1 (/ 1.0 (exp x))) 1) (- (/ 1.0 (exp x))) (- 1 (* (/ 1.0 (exp x)) (/ 1.0 (exp x)))) (+ 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))) (- (/ 1.0 (exp x))) (expm1 (/ 1.0 (exp x))) (log1p (/ 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))) (- 1.0) (- (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)) (/ 1 (exp 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) (expm1 (/ 1 (- 1 (/ 1.0 (exp x))))) (log1p (/ 1 (- 1 (/ 1.0 (exp x))))) (- 1) (log (/ 1 (- 1 (/ 1.0 (exp x))))) (log (/ 1 (- 1 (/ 1.0 (exp x))))) (log (/ 1 (- 1 (/ 1.0 (exp x))))) (log (/ 1 (- 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) (- (- 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 (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))) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) (/ 1 (- 1 (pow (/ 1.0 (exp x)) 3))) (/ 1 (- 1 (* (/ 1.0 (exp x)) (/ 1.0 (exp x))))) (fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2)))) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) (fma (pow x 2) 0.5 (- 1.0 (* 1.0 x))) (/ 1.0 (exp x)) (/ 1.0 (exp x)) (+ (fma 0.08333333333333334 x (* 1.0 (/ 1 x))) 0.5) (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (- 1 (/ 1.0 (exp x)))) 0.819 * * * [progress]: adding candidates to table 0.997 * * [progress]: iteration 4 / 4 0.997 * * * [progress]: picking best candidate 1.003 * * * * [pick]: Picked # 1.003 * * * [progress]: localizing error 1.012 * * * [progress]: generating rewritten candidates 1.012 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.022 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 1.036 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.046 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.068 * * * [progress]: generating series expansions 1.068 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.068 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in (x) around 0 1.068 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 1.068 * [taylor]: Taking taylor expansion of 1 in x 1.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 1.068 * [taylor]: Taking taylor expansion of (exp x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 1.068 * [taylor]: Taking taylor expansion of 1 in x 1.069 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 1.069 * [taylor]: Taking taylor expansion of (exp x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.081 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in (x) around 0 1.081 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 1.081 * [taylor]: Taking taylor expansion of 1 in x 1.081 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 1.081 * [taylor]: Taking taylor expansion of 1.0 in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 1.081 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 1.082 * [taylor]: Taking taylor expansion of 1 in x 1.082 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 1.082 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.092 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in (x) around 0 1.092 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 1.092 * [taylor]: Taking taylor expansion of 1 in x 1.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 1.092 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.092 * [taylor]: Taking taylor expansion of -1 in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 1.092 * [taylor]: Taking taylor expansion of 1 in x 1.093 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.108 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 1.108 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in (x) around 0 1.108 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 1.108 * [taylor]: Taking taylor expansion of 1 in x 1.108 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 1.108 * [taylor]: Taking taylor expansion of (exp x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 1.108 * [taylor]: Taking taylor expansion of 1 in x 1.108 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 1.109 * [taylor]: Taking taylor expansion of (exp x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.122 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in (x) around 0 1.123 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 1.123 * [taylor]: Taking taylor expansion of 1 in x 1.123 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 1.123 * [taylor]: Taking taylor expansion of 1 in x 1.123 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.133 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in (x) around 0 1.133 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 1.133 * [taylor]: Taking taylor expansion of 1 in x 1.133 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 1.133 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.133 * [taylor]: Taking taylor expansion of -1 in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 1.134 * [taylor]: Taking taylor expansion of 1 in x 1.134 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 1.134 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.134 * [taylor]: Taking taylor expansion of -1 in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.144 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.144 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in (x) around 0 1.144 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 1.144 * [taylor]: Taking taylor expansion of 1 in x 1.144 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 1.144 * [taylor]: Taking taylor expansion of (exp x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 1.144 * [taylor]: Taking taylor expansion of 1 in x 1.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 1.145 * [taylor]: Taking taylor expansion of (exp x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.157 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in (x) around 0 1.157 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 1.157 * [taylor]: Taking taylor expansion of 1 in x 1.157 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 1.157 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 1.157 * [taylor]: Taking taylor expansion of 1 in x 1.157 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 1.157 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.167 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in (x) around 0 1.167 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 1.168 * [taylor]: Taking taylor expansion of 1 in x 1.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 1.168 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.168 * [taylor]: Taking taylor expansion of -1 in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 1.168 * [taylor]: Taking taylor expansion of 1 in x 1.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 1.168 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.168 * [taylor]: Taking taylor expansion of -1 in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.179 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.179 * [approximate]: Taking taylor expansion of (pow (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) 1/3) in (x) around 0 1.179 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) 1/3) in x 1.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp x)))))))) in x 1.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))))) in x 1.179 * [taylor]: Taking taylor expansion of 1/3 in x 1.179 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1 (* 1.0 (/ 1 (exp x)))))) in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in x 1.179 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 1.179 * [taylor]: Taking taylor expansion of 1 in x 1.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 1.179 * [taylor]: Taking taylor expansion of (exp x) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) 1/3) in x 1.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp x)))))))) in x 1.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))))) in x 1.185 * [taylor]: Taking taylor expansion of 1/3 in x 1.185 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1 (* 1.0 (/ 1 (exp x)))))) in x 1.185 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in x 1.185 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 1.185 * [taylor]: Taking taylor expansion of 1 in x 1.185 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 1.185 * [taylor]: Taking taylor expansion of 1.0 in x 1.185 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 1.185 * [taylor]: Taking taylor expansion of (exp x) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.239 * [approximate]: Taking taylor expansion of (pow (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) 1/3) in (x) around 0 1.239 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) 1/3) in x 1.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))))))) in x 1.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))))) in x 1.239 * [taylor]: Taking taylor expansion of 1/3 in x 1.239 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))))) in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in x 1.239 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 1.239 * [taylor]: Taking taylor expansion of 1 in x 1.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 1.239 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) 1/3) in x 1.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))))))) in x 1.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))))) in x 1.240 * [taylor]: Taking taylor expansion of 1/3 in x 1.240 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))))) in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in x 1.240 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 1.240 * [taylor]: Taking taylor expansion of 1 in x 1.240 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 1.240 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 1.240 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.293 * [approximate]: Taking taylor expansion of (pow (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) 1/3) in (x) around 0 1.293 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) 1/3) in x 1.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))))))) in x 1.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))))) in x 1.293 * [taylor]: Taking taylor expansion of 1/3 in x 1.293 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))))) in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in x 1.293 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 1.293 * [taylor]: Taking taylor expansion of 1 in x 1.293 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 1.293 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 1.293 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.293 * [taylor]: Taking taylor expansion of -1 in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (pow (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) 1/3) in x 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))))))) in x 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))))) in x 1.294 * [taylor]: Taking taylor expansion of 1/3 in x 1.294 * [taylor]: Taking taylor expansion of (log (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))))) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in x 1.294 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 1.294 * [taylor]: Taking taylor expansion of 1 in x 1.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.295 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 1.295 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.295 * [taylor]: Taking taylor expansion of -1 in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.341 * * * [progress]: simplifying candidates 1.346 * [simplify]: Simplifying using # : 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(pow (/ 1.0 (exp x)) 3)))) (cbrt (+ 1 (+ (* (/ 1.0 (exp x)) (/ 1.0 (exp x))) (* 1 (/ 1.0 (exp x)))))) (cbrt (/ 1 (- 1 (* (/ 1.0 (exp x)) (/ 1.0 (exp x)))))) (cbrt (+ 1 (/ 1.0 (exp x)))) 1 (cbrt (- 1 (/ 1.0 (exp x)))) (* (cbrt (cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))) (cbrt (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))))) (cbrt (cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))) (/ 1 (- 1 (/ 1.0 (exp x)))) (sqrt (cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))) (sqrt (cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))) (fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2)))) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) (fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2)))) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) (fma (pow x 3) 0.16666666666666666 (- (* 1.0 x) (* 0.5 (pow x 2)))) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) (fma (- 0.041666666666666664) (/ (* (exp (* 1/3 (- (log 1.0) (log x)))) (pow x 2)) (pow 1.0 2)) (fma (* 0.16666666666666666 (exp (* 1/3 (- (log 1.0) (log x))))) x (fma (* 0.04166666666666667 (exp (* 1/3 (- (log 1.0) (log x))))) (pow x 2) (exp (* 1/3 (- (log 1.0) (log x))))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) 1.421 * * * [progress]: adding candidates to table 1.703 * [progress]: [Phase 3 of 3] Extracting. 1.703 * * [regime]: Finding splitpoints for: (# # # #) 1.703 * * * [regime-changes]: Trying 2 branch expressions: ((exp x) x) 1.703 * * * * [regimes]: Trying to branch on (exp x) from (# # # #) 1.727 * * * * [regimes]: Trying to branch on x from (# # # #) 1.750 * * * [regime]: Found split indices: #