1.062 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.082 * [simplify]: Simplifying using # : (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) 0.576 * * [simplify]: iteration 0 : 11 enodes (cost 11 ) 0.577 * * [simplify]: iteration 1 : 11 enodes (cost 11 ) 0.577 * [simplify]: Simplified to: (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) 0.579 * * [progress]: iteration 1 / 4 0.579 * * * [progress]: picking best candidate 0.585 * * * * [pick]: Picked # 0.585 * * * [progress]: localizing error 0.596 * * * [progress]: generating rewritten candidates 0.596 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.610 * * * [progress]: generating series expansions 0.610 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.617 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.618 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (- x 1) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 1 in x 0.620 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.620 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (- x 1) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of 1 in x 0.628 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.628 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.629 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of 1 in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of 1 in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.634 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.634 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.634 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1 (/ 1 x)))) in x 0.634 * [taylor]: Taking taylor expansion of (neg (+ 1 (/ 1 x))) in x 0.634 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.634 * [taylor]: Taking taylor expansion of 1 in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1 (/ 1 x)))) in x 0.635 * [taylor]: Taking taylor expansion of (neg (+ 1 (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of 1 in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.667 * * * [progress]: simplifying candidates 0.668 * [simplify]: Simplifying using # : (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 1 1))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 1 3))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) 1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) 1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 1))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 x 1))) (sqrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x 1)) 1) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 1)) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (*.f64 (sqrt.f64 (-.f64 x 1)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))) (*.f64 (-.f64 x 1) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (-.f64 x 1))) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) (exp.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))) (log.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))) (+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x))) (*.f64 (-.f64 x 1) x) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) (*.f64 (-.f64 x 1) x) (-.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 3) (pow.f64 NAN.f64 5))) (+.f64 (*.f64 x NAN.f64) (*.f64 (pow.f64 x 2) NAN.f64))) (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 NAN.f64 3)) (*.f64 2 (*.f64 (pow.f64 x 3) (pow.f64 NAN.f64 3))))) (-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x)))) (-.f64 (+.f64 (*.f64 3 (/.f64 (pow.f64 NAN.f64 4) (pow.f64 x 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 NAN.f64 6) (pow.f64 x 2))) (pow.f64 NAN.f64 2))) (+.f64 (/.f64 (pow.f64 NAN.f64 2) x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 4) x)))) 0.731 * * [simplify]: iteration 0 : 5094 enodes (cost 628 ) 0.735 * [simplify]: Simplified to: (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) 1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (pow.f64 x 3) 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 x 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (sqrt.f64 x) 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (sqrt.f64 x) 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (sqrt.f64 x) 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (-.f64 x 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 (-.f64 x 1)))) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 (-.f64 x 1)))) (sqrt.f64 (-.f64 x 1)) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (-.f64 x 1)) (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x 1)) (fabs.f64 (cbrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x 1)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1)))) (sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1)))) (*.f64 x (-.f64 x 1)) (pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1))) 3) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1)))) (cbrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1))))) (cbrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1)))) (pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1))) 3) (exp.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1)))) (log.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1)))) (log.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1)))) (*.f64 x (-.f64 x 1)) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x 1))) (*.f64 x (-.f64 x 1)) (-.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 3) (pow.f64 (NAN.f64) 5))) (*.f64 (NAN.f64) (+.f64 x (*.f64 x x)))) (*.f64 (pow.f64 (NAN.f64) 3) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 2)))) (-.f64 x (+.f64 1/2 (/.f64 1/8 x))) (-.f64 (+.f64 (*.f64 3 (/.f64 (pow.f64 (NAN.f64) 4) (*.f64 x x))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (NAN.f64) 6) (*.f64 x x))) (pow.f64 (NAN.f64) 2))) (+.f64 (/.f64 (pow.f64 (NAN.f64) 2) x) (*.f64 2 (/.f64 (pow.f64 (NAN.f64) 4) x)))) 0.735 * * * [progress]: adding candidates to table