18.518 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [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)) 0.013 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.014 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.015 * * [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 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.034 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.034 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [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 0.045 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 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 0.046 * [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 0.047 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.057 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [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 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [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 ) 0.149 * * [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 0.224 * * [progress]: iteration 2 / 4 0.224 * * * [progress]: picking best candidate 0.228 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.236 * * * [progress]: generating rewritten candidates 0.236 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.236 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.247 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.250 * * * [progress]: generating series expansions 0.250 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.250 * [approximate]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 0.250 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 0.250 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.250 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 0.252 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 0.252 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 0.252 * [taylor]: Taking taylor expansion of 1 in x 0.252 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.252 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.272 * [approximate]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.272 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.272 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.272 * [taylor]: Taking taylor expansion of 1 in x 0.272 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.272 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.278 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.278 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.278 * [taylor]: Taking taylor expansion of 1 in x 0.278 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.278 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.312 * [approximate]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.312 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.312 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.312 * [taylor]: Taking taylor expansion of 1 in x 0.312 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.318 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.318 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.318 * [taylor]: Taking taylor expansion of 1 in x 0.318 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.351 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.351 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.352 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.358 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.358 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.372 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.384 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 0.384 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) 1) 0.384 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 0.384 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 0.384 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 0.384 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 0.384 * [taylor]: Taking taylor expansion of 1 in x 0.384 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.384 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 0.386 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) 1) 0.386 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ x 1.0) (- 1.0 x)))) in x 0.386 * [taylor]: Taking taylor expansion of (log1p (/ (+ x 1.0) (- 1.0 x))) in x 0.386 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ x 1.0) (- 1.0 x)))) 0.386 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ x 1.0) (- 1.0 x))) in x 0.386 * [taylor]: Taking taylor expansion of 1 in x 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 0.389 * [taylor]: Taking taylor expansion of 1 in x 0.414 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.414 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1) 0.414 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.414 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.414 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.414 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.414 * [taylor]: Taking taylor expansion of 1 in x 0.414 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.414 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of 1 in x 0.422 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.422 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1) 0.422 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) in x 0.422 * [taylor]: Taking taylor expansion of (log1p (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.422 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.422 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x)))) in x 0.422 * [taylor]: Taking taylor expansion of 1 in x 0.422 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.422 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of 1 in x 0.469 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.469 * [taylor]: Rewrote expression to (- (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1) 0.469 * [taylor]: Taking taylor expansion of (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.469 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.469 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.469 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.469 * [taylor]: Taking taylor expansion of 1 in x 0.469 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of 1 in x 0.476 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.476 * [taylor]: Rewrote expression to (- (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1) 0.476 * [taylor]: Taking taylor expansion of (exp (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.476 * [taylor]: Taking taylor expansion of (log1p (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.476 * [taylor]: Rewrote expression to (log (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.476 * [taylor]: Taking taylor expansion of (+ 1 (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.476 * [taylor]: Taking taylor expansion of 1 in x 0.476 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of 1 in x 0.520 * * * [progress]: simplifying candidates 0.521 * [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)))))) 0.529 * * [simplify]: iteration 0 : 378 enodes (cost 521 ) 0.534 * * [simplify]: iteration 1 : 1270 enodes (cost 479 ) 0.555 * * [simplify]: iteration 2 : 5001 enodes (cost 451 ) 0.558 * [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))) 0.558 * * * [progress]: adding candidates to table 0.710 * * [progress]: iteration 3 / 4 0.710 * * * [progress]: picking best candidate 0.712 * * * * [pick]: Picked # 0.712 * * * [progress]: localizing error 0.716 * * * [progress]: generating rewritten candidates 0.716 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.730 * * * [progress]: generating series expansions 0.730 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.730 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.730 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.730 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.731 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.738 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.749 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.749 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.761 * * * [progress]: simplifying candidates 0.764 * [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))) 0.768 * * [simplify]: iteration 0 : 214 enodes (cost 315 ) 0.772 * * [simplify]: iteration 1 : 711 enodes (cost 297 ) 0.785 * * [simplify]: iteration 2 : 2979 enodes (cost 293 ) 0.845 * * [simplify]: iteration 3 : 5001 enodes (cost 292 ) 0.846 * [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)) 0.847 * * * [progress]: adding candidates to table 0.917 * * [progress]: iteration 4 / 4 0.917 * * * [progress]: picking best candidate 0.918 * * * * [pick]: Picked # 0.918 * * * [progress]: localizing error 0.923 * * * [progress]: generating rewritten candidates 0.923 * * * [progress]: generating series expansions 0.923 * * * [progress]: simplifying candidates 0.923 * [simplify]: Simplifying using # : 0.925 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.925 * [simplify]: Simplified to: 0.925 * * * [progress]: adding candidates to table 0.925 * [progress]: [Phase 3 of 3] Extracting. 0.925 * * [regime]: Finding splitpoints for: (# # #) 0.926 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 0.926 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# # #) 0.937 * * * * [regimes]: Trying to branch on x from (# # #) 0.949 * * * [regime]: Found split indices: #