12.646 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.048 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.049 * * [simplify]: iteration 1 : 11 enodes (cost 9 ) 0.050 * * [simplify]: iteration 2 : 12 enodes (cost 9 ) 0.051 * * [simplify]: iteration done : 12 enodes (cost 9 ) 0.051 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.077 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.080 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.132 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.132 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.132 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.134 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.145 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.164 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.164 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.198 * * * [progress]: simplifying candidates 0.199 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.201 * * [simplify]: iteration 0 : 95 enodes (cost 483 ) 0.218 * * [simplify]: iteration 1 : 233 enodes (cost 424 ) 0.268 * * [simplify]: iteration 2 : 606 enodes (cost 392 ) 0.641 * * [simplify]: iteration 3 : 1970 enodes (cost 355 ) 1.311 * * [simplify]: iteration done : 5000 enodes (cost 355 ) 1.312 * [simplify]: Simplified to: (expm1 (hypot (sqrt (- 1.0)) x)) (log1p (hypot (sqrt (- 1.0)) x)) (log (hypot (sqrt (- 1.0)) x)) (exp (hypot (sqrt (- 1.0)) x)) (* (cbrt (hypot (sqrt (- 1.0)) x)) (cbrt (hypot (sqrt (- 1.0)) x))) (cbrt (hypot (sqrt (- 1.0)) x)) (pow (hypot (sqrt (- 1.0)) x) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (hypot (sqrt (- 1.0)) x)) (sqrt (hypot (sqrt (- 1.0)) x)) 1 (hypot (sqrt (- 1.0)) x) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow x 6) (pow 1.0 3))) (sqrt (fma 1.0 (fma x x 1.0) (pow x 4))) (sqrt (- (pow x 4) (* 1.0 1.0))) (sqrt (fma x x 1.0)) 1/2 (sqrt (hypot (sqrt (- 1.0)) x)) (sqrt (hypot (sqrt (- 1.0)) x)) (expm1 (+ (hypot (sqrt (- 1.0)) x) x)) (log1p (+ (hypot (sqrt (- 1.0)) x) x)) (exp (+ (hypot (sqrt (- 1.0)) x) x)) (log (+ (hypot (sqrt (- 1.0)) x) x)) (exp (+ (hypot (sqrt (- 1.0)) x) x)) (* (cbrt (+ (hypot (sqrt (- 1.0)) x) x)) (cbrt (+ (hypot (sqrt (- 1.0)) x) x))) (cbrt (+ (hypot (sqrt (- 1.0)) x) x)) (pow (+ (hypot (sqrt (- 1.0)) x) x) 3) (sqrt (+ (hypot (sqrt (- 1.0)) x) x)) (sqrt (+ (hypot (sqrt (- 1.0)) x) x)) (+ (pow x 3) (pow (hypot (sqrt (- 1.0)) x) 3)) (fma x x (- (* x (- x (hypot (sqrt (- 1.0)) x))) 1.0)) (+ 1.0 0) (- x (hypot (sqrt (- 1.0)) x)) (+ (hypot (sqrt (- 1.0)) x) x) (fma (/ (pow x 4) (pow (sqrt (- 1.0)) 3)) -1/8 (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- x (+ (/ 0.125 (pow x 3)) (/ 0.5 x))) (+ (/ 0.125 (pow x 3)) (- (/ 0.5 x) x)) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3))) (+ (+ (/ 0.125 (pow x 3)) (/ 0.5 x)) (/ 0.0625 (pow x 5))) 1.312 * * * [progress]: adding candidates to table 1.419 * * [progress]: iteration 2 / 4 1.419 * * * [progress]: picking best candidate 1.421 * * * * [pick]: Picked # 1.422 * * * [progress]: localizing error 1.434 * * * [progress]: generating rewritten candidates 1.434 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.465 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.467 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 1.476 * * * [progress]: generating series expansions 1.476 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.477 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.477 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.477 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.477 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.477 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.487 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.487 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.533 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.533 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.533 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.533 * [taylor]: Taking taylor expansion of 1.0 in x 1.534 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.534 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.534 * [taylor]: Taking taylor expansion of 1.0 in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.541 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.541 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.541 * [taylor]: Taking taylor expansion of 1.0 in x 1.542 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.574 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.574 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.574 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.574 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.574 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.574 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.577 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.577 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.577 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.577 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.580 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.580 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.580 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.580 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.582 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.672 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.673 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 1.673 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.673 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.673 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.673 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.682 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.682 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.682 * [taylor]: Taking taylor expansion of 1.0 in x 1.683 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.683 * [taylor]: Taking taylor expansion of 1.0 in x 1.711 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.711 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.711 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.711 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.711 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.711 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.712 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.712 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.719 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.719 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.719 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.720 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.720 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.763 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.763 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.763 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.763 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.763 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.763 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.763 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.763 * [taylor]: Taking taylor expansion of 1.0 in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.766 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.766 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.766 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.766 * [taylor]: Taking taylor expansion of 1.0 in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.768 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.768 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.769 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.769 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.769 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.769 * [taylor]: Taking taylor expansion of 1.0 in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.771 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.771 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.771 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.771 * [taylor]: Taking taylor expansion of 1.0 in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.813 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 1.813 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 1.813 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.813 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.813 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.813 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.816 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.816 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.816 * [taylor]: Taking taylor expansion of 1.0 in x 1.839 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.839 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.839 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.839 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.842 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.842 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.858 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 1.858 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.858 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.858 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.858 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.861 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.861 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.861 * [taylor]: Taking taylor expansion of 1.0 in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.877 * * * [progress]: simplifying candidates 1.879 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 1.884 * * [simplify]: iteration 0 : 181 enodes (cost 1459 ) 1.921 * * [simplify]: iteration 1 : 439 enodes (cost 1230 ) 2.026 * * [simplify]: iteration 2 : 1249 enodes (cost 1161 ) 3.053 * * [simplify]: iteration 3 : 4462 enodes (cost 1127 ) 4.140 * * [simplify]: iteration done : 5001 enodes (cost 1127 ) 4.141 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (- (* x x) 1.0) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- (* x x) 1.0) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) 3) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) 3) (- (* x x) 1.0) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (fma 1.0 (sqrt 1.0) (pow x 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (fma x x (fma x (sqrt 1.0) 1.0))) (sqrt (+ (* x (- x (sqrt 1.0))) 1.0))) (* (sqrt (fma 1.0 (sqrt 1.0) (pow x 3))) (hypot x (sqrt (- 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (* x (- x (sqrt 1.0))) 1.0))) (* (hypot x (sqrt (- 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma x x (fma x (sqrt 1.0) 1.0)))) (- (* x x) 1.0) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ (sqrt 1.0) x)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ (sqrt 1.0) x)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ (sqrt 1.0) x)) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (sqrt 1.0) x)) (hypot x (sqrt (- 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma 1.0 (sqrt 1.0) (pow x 3)))) (* (hypot x (sqrt (- 1.0))) (sqrt (- x (sqrt 1.0)))) (expm1 (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x)) (log1p (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x)) (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x))) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x)) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x) 3) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x)) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (fma x x (- (* x (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 1.0)) (+ 1.0 0) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (pow (sqrt (+ (sqrt 1.0) x)) 3) (fabs (cbrt (+ x (sqrt 1.0)))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) 1 (sqrt (+ (sqrt 1.0) x)) 1 (sqrt (+ (sqrt 1.0) x)) (sqrt (fma 1.0 (sqrt 1.0) (pow x 3))) (sqrt (+ (* x (- x (sqrt 1.0))) 1.0)) (hypot x (sqrt (- 1.0))) (sqrt (- x (sqrt 1.0))) 1/2 (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (fma (/ (pow x 4) (pow (sqrt (- 1.0)) 3)) -1/8 (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- x (fma 1/8 (/ (* 1.0 1.0) (pow x 3)) (* 1/2 (/ 1.0 x)))) (- (- (- (+ +nan.0 (/ +nan.0 x)) (* (/ (sqrt 1.0) x) (- +nan.0 (/ +nan.0 x)))) (/ +nan.0 (pow x 2))) (* +nan.0 (/ 1.0 (pow x 2)))) (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (+ (sqrt (- 1.0)) x)) (fma 2 x (- (fma 1/8 (/ (* 1.0 1.0) (pow x 3)) (* 1/2 (/ 1.0 x))))) (+ (- x +nan.0) (- (* +nan.0 (/ (sqrt 1.0) x)) (/ +nan.0 x))) (fma -1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (fma (* 1/2 x) (sqrt (/ 1 (sqrt 1.0))) (sqrt (sqrt 1.0)))) (+ (- (* (/ (sqrt 1.0) x) (- +nan.0 (/ +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x))) (+ (- (* (/ (sqrt 1.0) x) (- +nan.0 (/ +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x))) 4.142 * * * [progress]: adding candidates to table 4.392 * [progress]: [Phase 3 of 3] Extracting. 4.395 * [simplify]: Simplifying using # : (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 4.395 * * [simplify]: iteration 0 : 10 enodes (cost 14 ) 4.396 * * [simplify]: iteration 1 : 13 enodes (cost 14 ) 4.396 * * [simplify]: iteration done : 13 enodes (cost 14 ) 4.396 * [simplify]: Simplified to: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 5.767 * [regime-testing]: End program error score: 0.03475434429303663