0.686 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0.040 * * [simplify]: iteration 0 : 72 enodes (cost 11 ) 0.040 * * [simplify]: iteration 1 : 72 enodes (cost 11 ) 0.040 * [simplify]: Simplified to: (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.061 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in (x) around 0 0.061 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.061 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1 in x 0.061 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.062 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1 in x 0.062 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.063 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 1 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 1 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.068 * [approximate]: Taking taylor expansion of (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of 1 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.068 * [taylor]: Taking taylor expansion of -1 in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of 1 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.068 * [taylor]: Taking taylor expansion of -1 in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.072 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.072 * [approximate]: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.073 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1 in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.073 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1 in x 0.073 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.073 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 1 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.073 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 1 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.077 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of 1 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of 1 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * * * [progress]: simplifying candidates 0.080 * [simplify]: Simplifying using # : (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x))) (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (exp.f64 (-.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 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (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 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (pow.f64 (sqrt.f64 x) 3)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (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))) (-.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)) (log.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 1) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 1) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 1 3))) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1)))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 1 1))) (sqrt.f64 (-.f64 x 1)) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 x NAN.f64) (*.f64 (pow.f64 x 2) (pow.f64 NAN.f64 3))))) (-.f64 (+.f64 (/.f64 NAN.f64 x) (+.f64 (*.f64 6 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 3))) (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) x)) (*.f64 6 (/.f64 (pow.f64 NAN.f64 7) (pow.f64 x 3))))))) (-.f64 (+.f64 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) x)) (+.f64 (*.f64 6 (/.f64 (pow.f64 NAN.f64 7) (pow.f64 x 3))) (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2))))) (+.f64 (/.f64 NAN.f64 x) (+.f64 (*.f64 6 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 3))) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2)))))) (-.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (/.f64 NAN.f64 x) (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 NAN.f64 3) x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))))) (-.f64 (+.f64 (/.f64 (pow.f64 NAN.f64 3) x) (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2))))) (+.f64 (/.f64 NAN.f64 x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))))) 0.159 * * [simplify]: iteration 0 : 5008 enodes (cost 774 ) 0.163 * [simplify]: Simplified to: (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (exp.f64 (-.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))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)) 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (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))) (-.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)) (log.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) 1 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))) (sqrt.f64 (-.f64 (*.f64 x x) 1)) (sqrt.f64 (-.f64 x 1)) 1/2 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (-.f64 (-.f64 (*.f64 x 1/2) (*.f64 x (NAN.f64))) (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (NAN.f64) 3))))) (+.f64 (-.f64 (+.f64 (/.f64 (NAN.f64) x) (*.f64 (+.f64 (/.f64 6 x) 1) (/.f64 (pow.f64 (NAN.f64) 5) (*.f64 x x)))) (+.f64 (pow.f64 (/.f64 (NAN.f64) x) 3) (*.f64 (/.f64 (pow.f64 (NAN.f64) 3) x) (+.f64 (/.f64 2 x) 2)))) (*.f64 -6 (/.f64 (pow.f64 (NAN.f64) 7) (pow.f64 x 3)))) (-.f64 (+.f64 (pow.f64 (/.f64 (NAN.f64) x) 3) (+.f64 (/.f64 (pow.f64 (NAN.f64) 5) (*.f64 x x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (NAN.f64) 3) x)) (*.f64 6 (/.f64 (pow.f64 (NAN.f64) 7) (pow.f64 x 3)))))) (+.f64 (/.f64 (NAN.f64) x) (+.f64 (*.f64 6 (/.f64 (pow.f64 (NAN.f64) 5) (pow.f64 x 3))) (*.f64 2 (/.f64 (pow.f64 (NAN.f64) 3) (*.f64 x x)))))) (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) (-.f64 (+.f64 (/.f64 (NAN.f64) x) (+.f64 (NAN.f64) (*.f64 2 (/.f64 (pow.f64 (NAN.f64) 5) (*.f64 x x))))) (*.f64 (+.f64 (/.f64 2 x) 1) (/.f64 (pow.f64 (NAN.f64) 3) x))) (-.f64 (+.f64 (/.f64 (pow.f64 (NAN.f64) 3) x) (+.f64 (NAN.f64) (*.f64 2 (/.f64 (pow.f64 (NAN.f64) 5) (*.f64 x x))))) (+.f64 (/.f64 (NAN.f64) x) (*.f64 2 (/.f64 (pow.f64 (NAN.f64) 3) (*.f64 x x))))) 0.163 * * * [progress]: adding candidates to table