9.813 * [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)) 0.012 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.013 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.014 * * [simplify]: iteration 2 : 9 enodes (cost 7 ) 0.014 * * [simplify]: iteration done : 9 enodes (cost 7 ) 0.014 * [simplify]: Simplified to: (/ (+ x 1.0) (- 1.0 x)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [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 0.035 * [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 0.042 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.042 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.042 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 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 0.044 * [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 0.054 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.054 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.054 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * * * [progress]: simplifying candidates 0.070 * [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 : 93 enodes (cost 646 ) 0.089 * * [simplify]: iteration 1 : 215 enodes (cost 616 ) 0.135 * * [simplify]: iteration 2 : 609 enodes (cost 584 ) 0.489 * * [simplify]: iteration 3 : 2396 enodes (cost 573 ) 1.267 * * [simplify]: iteration done : 5000 enodes (cost 573 ) 1.268 * [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 x)) (* (- 1.0 x) (- x 1.0)) (fma 2.0 (fma x x x) 1.0) (- (- -1 (/ 2.0 x)) (/ 2.0 (* x x))) (- (- -1 (/ 2.0 x)) (/ 2.0 (* x x))) 1.268 * * * [progress]: adding candidates to table 1.350 * * [progress]: iteration 2 / 4 1.350 * * * [progress]: picking best candidate 1.352 * * * * [pick]: Picked # 1.352 * * * [progress]: localizing error 1.357 * * * [progress]: generating rewritten candidates 1.357 * * * [progress]: generating series expansions 1.357 * * * [progress]: simplifying candidates 1.357 * [simplify]: Simplifying using # : 1.358 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.358 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.358 * [simplify]: Simplified to: 1.358 * * * [progress]: adding candidates to table 1.358 * [progress]: [Phase 3 of 3] Extracting. 1.358 * * [regime]: Finding splitpoints for: (# #) 1.358 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 1.358 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# #) 1.366 * * * * [regimes]: Trying to branch on x from (# #) 1.379 * * * [regime]: Found split indices: #