0.867 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.282 * * * [progress]: [2/2] Setting up program. 0.286 * [progress]: [Phase 2 of 3] Improving. 0.288 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.294 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.295 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.297 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.298 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.299 * * [progress]: iteration 1 / 4 0.299 * * * [progress]: picking best candidate 0.301 * * * * [pick]: Picked # 0.301 * * * [progress]: localizing error 0.308 * * * [progress]: generating rewritten candidates 0.309 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.321 * * * [progress]: generating series expansions 0.321 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.325 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.326 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.326 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.332 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.332 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.363 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.369 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.377 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.377 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.377 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.381 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.381 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.383 * [taylor]: Taking taylor expansion of -1 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.413 * * * [progress]: simplifying candidates 0.414 * [simplify]: Simplifying using # : (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.418 * * [simplify]: iteration 0 : 188 enodes (cost 226 ) 0.421 * * [simplify]: iteration 1 : 635 enodes (cost 215 ) 0.434 * * [simplify]: iteration 2 : 2636 enodes (cost 210 ) 0.490 * * [simplify]: iteration 3 : 5002 enodes (cost 210 ) 0.492 * [simplify]: Simplified to: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- x (fma 0.125 (/ 1 x) 0.5)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.492 * * * [progress]: adding candidates to table 0.561 * * [progress]: iteration 2 / 4 0.561 * * * [progress]: picking best candidate 0.566 * * * * [pick]: Picked # 0.566 * * * [progress]: localizing error 0.571 * * * [progress]: generating rewritten candidates 0.571 * * * [progress]: generating series expansions 0.571 * * * [progress]: simplifying candidates 0.572 * [simplify]: Simplifying using # : 0.574 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.574 * [simplify]: Simplified to: 0.574 * * * [progress]: adding candidates to table 0.574 * * [progress]: iteration 3 / 4 0.574 * * * [progress]: picking best candidate 0.578 * * * * [pick]: Picked # 0.578 * * * [progress]: localizing error 0.591 * * * [progress]: generating rewritten candidates 0.591 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.599 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.609 * * * [progress]: generating series expansions 0.609 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.609 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.609 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.609 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.609 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.614 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.614 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.626 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.639 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.639 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.639 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.639 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.639 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.643 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.645 * [taylor]: Taking taylor expansion of -1 in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.677 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.677 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.677 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.677 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.677 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.682 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.682 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.693 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.693 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.693 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.698 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.706 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.708 * [taylor]: Taking taylor expansion of -1 in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.710 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.710 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.710 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.712 * [taylor]: Taking taylor expansion of -1 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.741 * * * [progress]: simplifying candidates 0.742 * [simplify]: Simplifying using # : (expm1 (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (log1p (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp 1) (exp (* (cbrt (log (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (log (* (sqrt (- x 1.0)) (sqrt x)))))) (exp (sqrt (log (* (sqrt (- x 1.0)) (sqrt x))))) (exp 1) (exp (log (sqrt (- x 1.0)))) (exp (log (sqrt x))) (exp (log (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)))) (exp (log (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))) (exp (log (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)))) (exp (log (sqrt (+ x 1.0)))) (log (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (exp (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (* (cbrt (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (cbrt (exp (log (* (sqrt (- x 1.0)) (sqrt x)))))) (cbrt (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (* (* (exp (log (* (sqrt (- x 1.0)) (sqrt x)))) (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (sqrt (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (sqrt (exp (log (* (sqrt (- x 1.0)) (sqrt x))))) (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.746 * * [simplify]: iteration 0 : 243 enodes (cost 349 ) 0.750 * * [simplify]: iteration 1 : 781 enodes (cost 329 ) 0.764 * * [simplify]: iteration 2 : 3075 enodes (cost 321 ) 0.821 * * [simplify]: iteration 3 : 5002 enodes (cost 321 ) 0.824 * [simplify]: Simplified to: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (exp 1/2) E (exp 1/2) E (exp (* (cbrt (log (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (log (* (sqrt (- x 1.0)) (sqrt x)))))) (exp (sqrt (log (* (sqrt (- x 1.0)) (sqrt x))))) E (sqrt (- x 1.0)) (sqrt x) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (sqrt (+ x 1.0)) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- x (fma 0.125 (/ 1 x) 0.5)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- x (fma 0.125 (/ 1 x) 0.5)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.824 * * * [progress]: adding candidates to table 0.935 * * [progress]: iteration 4 / 4 0.936 * * * [progress]: picking best candidate 0.937 * * * * [pick]: Picked # 0.937 * * * [progress]: localizing error 0.941 * * * [progress]: generating rewritten candidates 0.941 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.946 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.953 * * * [progress]: generating series expansions 0.953 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.953 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.953 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.953 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.957 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.957 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.968 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.968 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.968 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.968 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.973 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.973 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of 1.0 in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.982 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 0.982 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.982 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.988 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.988 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.995 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.995 * [approximate]: Taking taylor expansion of (* (- x 1.0) x) in (x) around 0 0.995 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.995 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.995 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [taylor]: Taking taylor expansion of x in x 1.008 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in (x) around 0 1.008 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 1.008 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 1.009 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.023 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 1.023 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.023 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.024 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.035 * * * [progress]: simplifying candidates 1.036 * [simplify]: Simplifying using # : (expm1 (sqrt (* (- x 1.0) x))) (log1p (sqrt (* (- x 1.0) x))) (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (* (* (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x))) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (expm1 (* (- x 1.0) x)) (log1p (* (- x 1.0) x)) (* (- x 1.0) x) (+ (log (- x 1.0)) (log x)) (log (* (- x 1.0) x)) (exp (* (- x 1.0) x)) (* (* (* (- x 1.0) (- x 1.0)) (- x 1.0)) (* (* x x) x)) (* (cbrt (* (- x 1.0) x)) (cbrt (* (- x 1.0) x))) (cbrt (* (- x 1.0) x)) (* (* (* (- x 1.0) x) (* (- x 1.0) x)) (* (- x 1.0) x)) (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) (* (cbrt x) (cbrt x))) (* (- x 1.0) (sqrt x)) (* (- x 1.0) 1) (* (cbrt (- x 1.0)) x) (* (sqrt (- x 1.0)) x) (* (- x 1.0) x) (* (- (sqrt x) (sqrt 1.0)) x) (* (- x 1.0) x) (* (- (pow x 3) (pow 1.0 3)) x) (* (- (* x x) (* 1.0 1.0)) x) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) 1.039 * * [simplify]: iteration 0 : 177 enodes (cost 178 ) 1.043 * * [simplify]: iteration 1 : 612 enodes (cost 161 ) 1.056 * * [simplify]: iteration 2 : 3175 enodes (cost 158 ) 1.113 * * [simplify]: iteration 3 : 5001 enodes (cost 158 ) 1.114 * [simplify]: Simplified to: (expm1 (sqrt (* (- x 1.0) x))) (log1p (sqrt (* (- x 1.0) x))) (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (pow (sqrt (* (- x 1.0) x)) 3) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) 1/2 1/2 (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (expm1 (* (- x 1.0) x)) (log1p (* (- x 1.0) x)) (* (- x 1.0) x) (log (* (- x 1.0) x)) (log (* (- x 1.0) x)) (exp (* (- x 1.0) x)) (pow (* (- x 1.0) x) 3) (* (cbrt (* (- x 1.0) x)) (cbrt (* (- x 1.0) x))) (cbrt (* (- x 1.0) x)) (pow (* (- x 1.0) x) 3) (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) (* (cbrt x) (cbrt x))) (* (- x 1.0) (sqrt x)) (- x 1.0) (* (cbrt (- x 1.0)) x) (* (sqrt (- x 1.0)) x) (* (- x 1.0) x) (* (- (sqrt x) (sqrt 1.0)) x) (* (- x 1.0) x) (* (- (pow x 3) (pow 1.0 3)) x) (* (- (* x x) (* 1.0 1.0)) x) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- x (fma 0.125 (/ 1 x) 0.5)) (fma 0.125 (/ 1 x) (- 0.5 x)) (* (- x 1.0) x) (* (- x 1.0) x) (* (- x 1.0) x) 1.115 * * * [progress]: adding candidates to table 1.179 * [progress]: [Phase 3 of 3] Extracting. 1.179 * * [regime]: Finding splitpoints for: (# # #) 1.180 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 1.180 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 1.203 * * * * [regimes]: Trying to branch on x from (# # #) 1.216 * * * [regime]: Found split indices: #