18.976 * [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 ) 0.015 * * [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 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.031 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.031 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of 1.0 in x 0.031 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.031 * [taylor]: Taking taylor expansion of 1.0 in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.033 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.040 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [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 0.056 * [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 0.067 * * * [progress]: simplifying candidates 0.068 * [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 ) 0.090 * * [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)) 0.153 * * * [progress]: adding candidates to table 0.216 * * [progress]: iteration 2 / 4 0.216 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.227 * * * [progress]: generating rewritten candidates 0.227 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.235 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.242 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.290 * * * [progress]: generating series expansions 0.290 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.290 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 x))) (+ x 1.0)) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 x))) (+ x 1.0)) in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 0.290 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 x))) (+ x 1.0)) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 0.294 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (+ 1.0 (/ 1 x))) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (+ 1.0 (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (+ 1.0 (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.355 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of 1.0 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 0.378 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.378 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 0.378 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 x))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 x)) in x 0.382 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.399 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in (x) around 0 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.417 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.430 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.430 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- 1.0 x)) in x 0.431 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.437 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.437 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))) in x 0.439 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.449 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.449 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * * * [progress]: simplifying candidates 0.464 * [simplify]: Simplifying using # : (expm1 (/ (+ x 1.0) (sqrt (- 1.0 x)))) (log1p (/ (+ x 1.0) (sqrt (- 1.0 x)))) (- (log (+ x 1.0)) (log (sqrt (- 1.0 x)))) (log (/ (+ x 1.0) (sqrt (- 1.0 x)))) (exp (/ (+ x 1.0) (sqrt (- 1.0 x)))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x)))) (* (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x))))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (* (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (sqrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (sqrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (- (+ x 1.0)) (- (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (cbrt (+ x 1.0)) (cbrt (sqrt (- 1.0 x)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (/ (cbrt (+ x 1.0)) (sqrt (cbrt (- 1.0 x)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (sqrt (- 1.0 x)))) (/ 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(/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ (sqrt 1) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ (sqrt 1) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (cbrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (cbrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (sqrt (+ 1.0 x)) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ 1 (sqrt (- 1.0 x))) (+ x 1.0)) (* 1 (/ (+ x 1.0) (sqrt (- 1.0 x)))) (- (+ (* x (sqrt 1.0)) (+ (* 1.0 (sqrt 1.0)) (+ (* 0.5 (/ x (sqrt 1.0))) (* 1.0 (/ (pow x 2) (sqrt 1.0)))))) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (+ (* 0.5 (/ x (sqrt 1.0))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (+ (* 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))) 0.474 * * [simplify]: iteration 0 : 753 enodes (cost 2183 ) 0.491 * * [simplify]: iteration 1 : 4461 enodes (cost 1910 ) 0.543 * * [simplify]: iteration 2 : 5001 enodes (cost 1861 ) 0.554 * [simplify]: Simplified to: (expm1 (/ (+ x 1.0) (sqrt (- 1.0 x)))) (log1p (/ (+ x 1.0) (sqrt (- 1.0 x)))) (log (/ (+ x 1.0) (sqrt (- 1.0 x)))) (log (/ (+ x 1.0) (sqrt (- 1.0 x)))) (exp (/ (+ x 1.0) (sqrt (- 1.0 x)))) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) (* (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x))))) (cbrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (pow (/ (+ x 1.0) (sqrt (- 1.0 x))) 3) (sqrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (sqrt (/ (+ x 1.0) (sqrt (- 1.0 x)))) (- (+ x 1.0)) (- (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (cbrt (+ x 1.0)) (cbrt (sqrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (/ (fabs (cbrt (- 1.0 x))) (cbrt (+ x 1.0)))) (/ (cbrt (+ x 1.0)) (sqrt (cbrt (- 1.0 x)))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (sqrt (- 1.0 x)))) (/ (cbrt (+ x 1.0)) (sqrt (sqrt (- 1.0 x)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (* (cbrt (+ x 1.0)) 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(* (/ (cbrt 1) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ (cbrt 1) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ (cbrt 1) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (/ (cbrt 1) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (cbrt (- 1.0 x)))) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (cbrt (- 1.0 x)))) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (+ x 1.0) (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)) (* (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (* (sqrt (+ 1.0 x)) (/ (+ x 1.0) (sqrt (- 1.0 x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (fma (sqrt 1.0) (+ x 1.0) (- (fma 0.5 (/ x (sqrt 1.0)) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma 0.5 (+ (/ x (sqrt 1.0)) (/ (pow x 2) (sqrt 1.0))) (- (sqrt 1.0) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 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)) 0.556 * * * [progress]: adding candidates to table 0.852 * * [progress]: iteration 3 / 4 0.852 * * * [progress]: picking best candidate 0.854 * * * * [pick]: Picked # 0.854 * * * [progress]: localizing error 0.858 * * * [progress]: generating rewritten candidates 0.858 * * * [progress]: generating series expansions 0.858 * * * [progress]: simplifying candidates 0.858 * [simplify]: Simplifying using # : 0.861 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.861 * [simplify]: Simplified to: 0.861 * * * [progress]: adding candidates to table 0.861 * [progress]: [Phase 3 of 3] Extracting. 0.861 * * [regime]: Finding splitpoints for: (# # #) 0.861 * * * [regime-changes]: Trying 2 branch expressions: ((/ (+ x 1.0) (- 1.0 x)) x) 0.861 * * * * [regimes]: Trying to branch on (/ (+ x 1.0) (- 1.0 x)) from (# # #) 0.870 * * * * [regimes]: Trying to branch on x from (# # #) 0.882 * * * [regime]: Found split indices: #