12.116 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ (+ x 1.0) (- 1.0 x)) 0.014 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.016 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.016 * [simplify]: Simplified to: (/ (+ x 1.0) (- 1.0 x)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.035 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.035 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.036 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.043 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.043 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.056 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * * * [progress]: simplifying candidates 0.069 * [simplify]: Simplifying using # : (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (- (log (+ x 1.0)) (log (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) 1) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) 1) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- 1.0 x) (- x 1.0)) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.073 * * [simplify]: iteration 0 : 214 enodes (cost 315 ) 0.077 * * [simplify]: iteration 1 : 711 enodes (cost 297 ) 0.089 * * [simplify]: iteration 2 : 2979 enodes (cost 293 ) 0.150 * * [simplify]: iteration 3 : 5001 enodes (cost 292 ) 0.152 * [simplify]: Simplified to: (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- x 1.0) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (+ x 1.0) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (+ x 1.0) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ 1 (- 1.0 x)) (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x)) (* (- 1.0 x) (- x 1.0)) (fma (fma x x x) 2.0 1.0) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) 0.152 * * * [progress]: adding candidates to table 0.250 * * [progress]: iteration 2 / 4 0.250 * * * [progress]: picking best candidate 0.254 * * * * [pick]: Picked # 0.254 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.262 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.262 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.273 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.275 * * * [progress]: generating series expansions 0.275 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.276 * [approximate]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 0.276 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 0.276 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 0.276 * [taylor]: Taking taylor expansion of 1 in x 0.276 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.276 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 0.278 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 0.278 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 0.278 * [taylor]: Taking taylor expansion of 1 in x 0.278 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.278 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.301 * [approximate]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.301 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.301 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.301 * [taylor]: Taking taylor expansion of 1 in x 0.301 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.301 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.307 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.308 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.341 * [approximate]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.342 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.342 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.342 * [taylor]: Taking taylor expansion of 1 in x 0.342 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.348 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.348 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.348 * [taylor]: Taking taylor expansion of 1 in x 0.348 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.386 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.386 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.387 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.394 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.396 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.406 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.418 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) in (x) around 0 0.418 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 0.418 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) 1) 0.418 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 0.418 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 0.418 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 0.418 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 0.418 * [taylor]: Taking taylor expansion of 1 in x 0.418 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.418 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 0.421 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) 1) 0.421 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 0.421 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 0.421 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 0.421 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.421 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.453 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in (x) around 0 0.453 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.453 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1) 0.453 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.453 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.453 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.453 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.453 * [taylor]: Taking taylor expansion of 1 in x 0.453 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.453 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of 1 in x 0.461 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.461 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1) 0.461 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.461 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.461 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.461 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.461 * [taylor]: Taking taylor expansion of 1 in x 0.461 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.462 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 1 in x 0.508 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.508 * [taylor]: Rewrote expression to (- (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1) 0.508 * [taylor]: Taking taylor expansion of (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.508 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.508 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.508 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.508 * [taylor]: Taking taylor expansion of 1 in x 0.509 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.509 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of 1 in x 0.516 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.516 * [taylor]: Rewrote expression to (- (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1) 0.516 * [taylor]: Taking taylor expansion of (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.516 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.516 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.516 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.516 * [taylor]: Taking taylor expansion of 1 in x 0.516 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.516 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of 1 in x 0.566 * * * [progress]: simplifying candidates 0.568 * [simplify]: Simplifying using # : (+ 1 (/ (+ x 1.0) (- 1.0 x))) (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) (log1p (log1p (/ (+ x 1.0) (- 1.0 x)))) (log (log1p (/ (+ x 1.0) (- 1.0 x)))) (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) (* (cbrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (cbrt (log1p (/ (+ x 1.0) (- 1.0 x))))) (cbrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (* (* (log1p (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x)))) (log1p (/ (+ x 1.0) (- 1.0 x)))) (sqrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (sqrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (- (log (+ x 1.0)) (log (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) 1) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) 1) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- 1.0 x) (- x 1.0)) (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) (expm1 (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (log1p (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (log (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (exp (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (* (cbrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (cbrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))))) (cbrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (* (* (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (sqrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (sqrt (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))) (+ (log 2.0) (+ (* 0.5 (pow x 2)) (* 1.0 x))) (+ (log (- 2.0)) (+ (* 0.5 (/ 1 (pow x 2))) (+ (log (/ 1 x)) (* 1.0 (/ 1 x))))) (- (+ (log 2.0) (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) (log (/ -1 x))))) (* 2.0 (/ 1 (* (pow x 2) (pow 2.0 2))))) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (- (+ (exp (+ (log (- 2.0)) (log (/ 1 x)))) (+ (* 1.0 (/ (exp (+ (log (- 2.0)) (log (/ 1 x)))) (pow x 2))) (* 1.0 (/ (exp (+ (log (- 2.0)) (log (/ 1 x)))) x)))) 1) (- (+ (* 1.5 (/ (exp (+ (log 2.0) (log (/ -1 x)))) (pow x 2))) (+ (* 1.0 (/ (exp (+ (log 2.0) (log (/ -1 x)))) x)) (exp (+ (log 2.0) (log (/ -1 x)))))) (+ 1 (* 2.0 (/ (exp (+ (log 2.0) (log (/ -1 x)))) (* (pow x 2) (pow 2.0 2)))))) 0.574 * * [simplify]: iteration 0 : 378 enodes (cost 521 ) 0.580 * * [simplify]: iteration 1 : 1270 enodes (cost 479 ) 0.601 * * [simplify]: iteration 2 : 5001 enodes (cost 451 ) 0.604 * [simplify]: Simplified to: (+ 1 (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (log1p (log1p (/ (+ x 1.0) (- 1.0 x)))) (log (log1p (/ (+ x 1.0) (- 1.0 x)))) (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) (* (cbrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (cbrt (log1p (/ (+ x 1.0) (- 1.0 x))))) (cbrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3) (sqrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (sqrt (log1p (/ (+ x 1.0) (- 1.0 x)))) (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- x 1.0) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (+ x 1.0) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (+ x 1.0) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ 1 (- 1.0 x)) (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x)) (* (- 1.0 x) (- x 1.0)) (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (+ (fma 0.5 (pow x 2) (* 1.0 x)) (log 2.0)) (+ (+ (log (- 2.0)) (/ 1.0 x)) (- (/ (/ 0.5 x) x) (log x))) (+ (+ (log 2.0) (fma 1.0 (/ 1 x) (log (/ -1 x)))) (* (/ 1 (pow x 2)) (- 1.0 (/ 2.0 (pow 2.0 2))))) (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) (- (* (/ (- 2.0) (/ x (/ 1 x))) (+ (/ 1.0 x) 1.0)) (- 1 (- (* 2.0 (/ 1 x))))) (+ (* (/ -1 x) 2.0) (- (* (/ 2.0 (/ x (/ -1 x))) (+ (/ 1.5 x) 1.0)) (fma 2.0 (* (/ 2.0 (pow 2.0 2)) (/ (/ -1 x) (pow x 2))) 1))) 0.605 * * * [progress]: adding candidates to table 0.767 * * [progress]: iteration 3 / 4 0.767 * * * [progress]: picking best candidate 0.769 * * * * [pick]: Picked # 0.770 * * * [progress]: localizing error 0.773 * * * [progress]: generating rewritten candidates 0.774 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.789 * * * [progress]: generating series expansions 0.789 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.789 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.790 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.790 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.791 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.799 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.799 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.799 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.811 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.811 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.811 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.811 * [taylor]: Taking taylor expansion of 1.0 in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.823 * * * [progress]: simplifying candidates 0.825 * [simplify]: Simplifying using # : (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (- (log (+ x 1.0)) (log (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) 1) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) 1) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- 1.0 x) (- x 1.0)) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (- (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.829 * * [simplify]: iteration 0 : 214 enodes (cost 315 ) 0.833 * * [simplify]: iteration 1 : 711 enodes (cost 297 ) 0.845 * * [simplify]: iteration 2 : 2979 enodes (cost 293 ) 0.906 * * [simplify]: iteration 3 : 5001 enodes (cost 292 ) 0.908 * [simplify]: Simplified to: (expm1 (/ (+ x 1.0) (- 1.0 x))) (log1p (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (log (/ (+ x 1.0) (- 1.0 x))) (exp (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))) (pow (/ (+ x 1.0) (- 1.0 x)) 3) (sqrt (/ (+ x 1.0) (- 1.0 x))) (sqrt (/ (+ x 1.0) (- 1.0 x))) (- (+ x 1.0)) (- x 1.0) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 1.0 x))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ (sqrt (+ x 1.0)) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt (+ x 1.0)) (- (sqrt 1.0) (sqrt x))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) 1 (/ (+ x 1.0) (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (+ x 1.0) (/ (+ x 1.0) (+ (sqrt 1.0) (sqrt x))) (+ x 1.0) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)) (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (/ 1 (- 1.0 x)) (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x)) (* (- 1.0 x) (- x 1.0)) (fma (fma x x x) 2.0 1.0) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) (- (/ (- 2.0) (pow x 2)) (fma 2.0 (/ 1 x) 1)) 0.908 * * * [progress]: adding candidates to table 0.982 * * [progress]: iteration 4 / 4 0.982 * * * [progress]: picking best candidate 0.984 * * * * [pick]: Picked # 0.984 * * * [progress]: localizing error 0.990 * * * [progress]: generating rewritten candidates 0.990 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.991 * * * [progress]: generating series expansions 0.991 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.991 * [approximate]: Taking taylor expansion of (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) in x 0.991 * [taylor]: Rewrote expression to (+ (* 2.0 (pow x 2)) (fma 2.0 x 1.0)) 0.991 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of 2.0 in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (fma 2.0 x 1.0) in x 0.992 * [taylor]: Rewrote expression to (+ (* 2.0 x) 1.0) 0.992 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.992 * [taylor]: Taking taylor expansion of 2.0 in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) in x 0.992 * [taylor]: Rewrote expression to (+ (* 2.0 (pow x 2)) (fma 2.0 x 1.0)) 0.992 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of 2.0 in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (fma 2.0 x 1.0) in x 0.992 * [taylor]: Rewrote expression to (+ (* 2.0 x) 1.0) 0.992 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.992 * [taylor]: Taking taylor expansion of 2.0 in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.997 * [approximate]: Taking taylor expansion of (fma 2.0 (pow (/ 1 x) 2) (fma 2.0 (/ 1 x) 1.0)) in (x) around 0 0.997 * [taylor]: Taking taylor expansion of (fma 2.0 (pow (/ 1 x) 2) (fma 2.0 (/ 1 x) 1.0)) in x 0.997 * [taylor]: Rewrote expression to (+ (* 2.0 (pow (/ 1 x) 2)) (fma 2.0 (/ 1 x) 1.0)) 0.997 * [taylor]: Taking taylor expansion of (* 2.0 (pow (/ 1 x) 2)) in x 0.997 * [taylor]: Taking taylor expansion of 2.0 in x 0.997 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) 1.0) in x 0.998 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) 1.0) 0.998 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.998 * [taylor]: Taking taylor expansion of 2.0 in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [taylor]: Taking taylor expansion of (fma 2.0 (pow (/ 1 x) 2) (fma 2.0 (/ 1 x) 1.0)) in x 0.998 * [taylor]: Rewrote expression to (+ (* 2.0 (pow (/ 1 x) 2)) (fma 2.0 (/ 1 x) 1.0)) 0.998 * [taylor]: Taking taylor expansion of (* 2.0 (pow (/ 1 x) 2)) in x 0.998 * [taylor]: Taking taylor expansion of 2.0 in x 0.998 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) 1.0) in x 0.999 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) 1.0) 0.999 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of 2.0 in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [approximate]: Taking taylor expansion of (fma 2.0 (pow (/ -1 x) 2) (fma 2.0 (/ -1 x) 1.0)) in (x) around 0 1.005 * [taylor]: Taking taylor expansion of (fma 2.0 (pow (/ -1 x) 2) (fma 2.0 (/ -1 x) 1.0)) in x 1.005 * [taylor]: Rewrote expression to (+ (* 2.0 (pow (/ -1 x) 2)) (fma 2.0 (/ -1 x) 1.0)) 1.005 * [taylor]: Taking taylor expansion of (* 2.0 (pow (/ -1 x) 2)) in x 1.005 * [taylor]: Taking taylor expansion of 2.0 in x 1.006 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.006 * [taylor]: Taking taylor expansion of -1 in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) 1.0) in x 1.006 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) 1.0) 1.006 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 1.006 * [taylor]: Taking taylor expansion of 2.0 in x 1.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.006 * [taylor]: Taking taylor expansion of -1 in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (fma 2.0 (pow (/ -1 x) 2) (fma 2.0 (/ -1 x) 1.0)) in x 1.007 * [taylor]: Rewrote expression to (+ (* 2.0 (pow (/ -1 x) 2)) (fma 2.0 (/ -1 x) 1.0)) 1.007 * [taylor]: Taking taylor expansion of (* 2.0 (pow (/ -1 x) 2)) in x 1.007 * [taylor]: Taking taylor expansion of 2.0 in x 1.007 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.007 * [taylor]: Taking taylor expansion of -1 in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) 1.0) in x 1.007 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) 1.0) 1.007 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 1.007 * [taylor]: Taking taylor expansion of 2.0 in x 1.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.007 * [taylor]: Taking taylor expansion of -1 in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * * * [progress]: simplifying candidates 1.015 * [simplify]: Simplifying using # : (expm1 (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (log1p (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (* 2.0 (pow x 2)) (log (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (exp (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (* (cbrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (cbrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0)))) (cbrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (* (* (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (sqrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (sqrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0)) 1.018 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 1.020 * * [simplify]: iteration 1 : 102 enodes (cost 52 ) 1.023 * * [simplify]: iteration 2 : 510 enodes (cost 52 ) 1.037 * * [simplify]: iteration 3 : 3580 enodes (cost 49 ) 1.139 * * [simplify]: iteration 4 : 5001 enodes (cost 49 ) 1.140 * [simplify]: Simplified to: (expm1 (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (log1p (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (* 2.0 (pow x 2)) (log (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (exp (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (* (cbrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (cbrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0)))) (cbrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (pow (fma 2.0 (pow x 2) (fma 2.0 x 1.0)) 3) (sqrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (sqrt (fma 2.0 (pow x 2) (fma 2.0 x 1.0))) (fma (fma x x x) 2.0 1.0) (fma (fma x x x) 2.0 1.0) (fma (fma x x x) 2.0 1.0) 1.140 * * * [progress]: adding candidates to table 1.171 * [progress]: [Phase 3 of 3] Extracting. 1.171 * * [regime]: Finding splitpoints for: (# # #) 1.172 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 1.172 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# # #) 1.181 * * * * [regimes]: Trying to branch on x from (# # #) 1.193 * * * [regime]: Found split indices: #