22.744 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0.042 * * [simplify]: iteration 0 : 71 enodes (cost 11 ) 0.042 * * [simplify]: iteration 1 : 71 enodes (cost 11 ) 0.043 * [simplify]: Simplified to: (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in (x) around 0 0.074 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.074 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1 in x 0.074 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.074 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1 in x 0.075 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.079 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.079 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.079 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of 1 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.080 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of 1 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.097 * [approximate]: Taking taylor expansion of (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.097 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.097 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of 1 in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.097 * [taylor]: Taking taylor expansion of -1 in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of 1 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.098 * [taylor]: Taking taylor expansion of -1 in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.114 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.114 * [approximate]: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.114 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of 1 in x 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.115 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of 1 in x 0.116 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in (x) around 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of 1 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.117 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of 1 in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.122 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of 1 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of 1 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.128 * * * [progress]: simplifying candidates 0.129 * [simplify]: Simplifying using # : (-.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 (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 (*.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)) (neg.f64 (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)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.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))) (*.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))) (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 1 2) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 1 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 1) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 1) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (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))) (*.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (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))) (exp.f64 (sqrt.f64 (+.f64 x 1))) (log.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))))) 0.187 * * [simplify]: iteration 0 : 5478 enodes (cost 782 ) 0.191 * [simplify]: Simplified to: (-.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 (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))) 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (*.f64 x (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.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))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) (*.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))) (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))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) 1/2 (sqrt.f64 (-.f64 (*.f64 x x) 1)) (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))) 1 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (+.f64 1 (*.f64 x 1/2)) (+.f64 (*.f64 x (NAN.f64)) (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (NAN.f64) 3))))) (+.f64 (*.f64 (+.f64 1 (/.f64 6 x)) (/.f64 (pow.f64 (NAN.f64) 5) (*.f64 x x))) (-.f64 (-.f64 (/.f64 (NAN.f64) x) (+.f64 (/.f64 (pow.f64 (NAN.f64) 3) (pow.f64 x 3)) (*.f64 6 (/.f64 (pow.f64 (NAN.f64) 7) (pow.f64 x 3))))) (*.f64 (/.f64 (pow.f64 (NAN.f64) 3) x) (+.f64 2 (/.f64 2 x))))) (-.f64 (+.f64 (/.f64 (pow.f64 (NAN.f64) 3) (pow.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 x 1/8)))) (-.f64 (+.f64 (/.f64 (NAN.f64) x) (+.f64 (NAN.f64) (*.f64 2 (/.f64 (pow.f64 (NAN.f64) 5) (*.f64 x x))))) (*.f64 (+.f64 1 (/.f64 2 x)) (/.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))))) 0.192 * * * [progress]: adding candidates to table