7.696 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.089 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.090 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.091 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.091 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.100 * * * [progress]: generating rewritten candidates 0.100 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.106 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.118 * * * [progress]: generating series expansions 0.118 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.118 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.118 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.121 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.154 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.157 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.169 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.169 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.169 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.169 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.172 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.172 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.182 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.205 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.205 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.208 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.235 * * * [progress]: simplifying candidates 0.235 * [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)))) 0.240 * * [simplify]: iteration 0 : 235 enodes (cost 239 ) 0.244 * * [simplify]: iteration 1 : 739 enodes (cost 223 ) 0.257 * * [simplify]: iteration 2 : 2858 enodes (cost 218 ) 0.313 * * [simplify]: iteration 3 : 5001 enodes (cost 216 ) 0.315 * [simplify]: Simplified to: (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))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 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 (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)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (fma x (- x (sqrt (- (* x x) 1.0))) (- (* x x) 1.0)) (+ 1.0 0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 x) (- (* 0.125 (/ 1 (pow x 3))) x)) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.125 (/ 1 (pow x 3)) (fma 0.0625 (/ 1 (pow x 5)) (* 0.5 (/ 1 x)))) 0.315 * * * [progress]: adding candidates to table 0.415 * * [progress]: iteration 2 / 4 0.415 * * * [progress]: picking best candidate 0.420 * * * * [pick]: Picked # 0.420 * * * [progress]: localizing error 0.430 * * * [progress]: generating rewritten candidates 0.430 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.461 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.466 * * * [progress]: generating series expansions 0.466 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.467 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.467 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.467 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.476 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.476 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.519 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.530 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.562 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.656 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.657 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 0.657 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.657 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.657 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.658 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.666 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.666 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.698 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.698 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.698 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 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 (sqrt 1.0) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.699 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 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 0.707 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.747 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.747 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.747 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.750 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.752 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.752 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.752 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.800 * * * [progress]: simplifying candidates 0.801 * [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))))) (- (+ (* 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))))))) 0.807 * * [simplify]: iteration 0 : 382 enodes (cost 708 ) 0.813 * * [simplify]: iteration 1 : 1369 enodes (cost 643 ) 0.839 * * [simplify]: iteration 2 : 5002 enodes (cost 629 ) 0.842 * [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))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (fma 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) (fma 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 (+ (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)))))) (fma 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 (+ 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 (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (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)))) (* (hypot x (sqrt (* -1 (pow (sqrt 1.0) 2)))) (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 (* (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)))))) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (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)) (- (fma x x (pow x 2)) (+ 1.0 (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (+ 0 1.0) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma 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 (fma 1/2 (/ 1.0 x) (/ (* (* 1.0 1.0) 1/8) (pow x 3)))) (fma (- +nan.0) (/ (/ 1.0 x) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (fma (- +nan.0) (/ 1 (pow x 2)) (fma +nan.0 (/ 1 x) (fma (- +nan.0) (/ (sqrt 1.0) x) +nan.0))))) (fma 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (- (* 2 x) (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (+ (- x +nan.0) (* +nan.0 (- (/ (sqrt 1.0) x) (/ 1 x)))) 0.842 * * * [progress]: adding candidates to table 1.022 * * [progress]: iteration 3 / 4 1.022 * * * [progress]: picking best candidate 1.024 * * * * [pick]: Picked # 1.025 * * * [progress]: localizing error 1.041 * * * [progress]: generating rewritten candidates 1.041 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 1.086 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.118 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.127 * * * [progress]: generating series expansions 1.127 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.129 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 1.129 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.129 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.129 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.138 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.138 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.138 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.138 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.168 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.168 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.168 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.168 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.169 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.176 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.176 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.176 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.221 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.221 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.221 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.221 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.221 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.221 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.224 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.224 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.227 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.227 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.227 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.227 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.227 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.230 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.230 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.230 * [taylor]: Taking taylor expansion of 1.0 in x 1.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.275 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 1.276 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.276 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.276 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.276 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.285 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.285 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.327 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.327 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.335 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.372 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.372 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.372 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.372 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.372 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.372 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.372 * [taylor]: Taking taylor expansion of 1.0 in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.375 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.375 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.377 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.377 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.377 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.380 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.380 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.380 * [taylor]: Taking taylor expansion of 1.0 in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.465 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.466 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.466 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.466 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.466 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.467 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.467 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.475 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.475 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.475 * [taylor]: Taking taylor expansion of 1.0 in x 1.476 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.476 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.521 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.521 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.521 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.521 * [taylor]: Taking taylor expansion of 1.0 in x 1.522 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.522 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.522 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.529 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.529 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.529 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.530 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.530 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.561 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.561 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.561 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.561 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.561 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.561 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.564 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.564 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.564 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.564 * [taylor]: Taking taylor expansion of 1.0 in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.566 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.566 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.566 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.566 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.567 * [taylor]: Taking taylor expansion of 1.0 in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.569 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.569 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.569 * [taylor]: Taking taylor expansion of 1.0 in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.658 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.659 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in (x) around 0 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.659 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.659 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.659 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.660 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.660 * [taylor]: Taking taylor expansion of 1.0 in x 1.684 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.684 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.684 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.684 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.684 * [taylor]: Taking taylor expansion of 1.0 in x 1.685 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.685 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.743 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.743 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.743 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.743 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.744 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.745 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.760 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.760 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.760 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.760 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.760 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.760 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.760 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.762 * [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 1.791 * [approximate]: Taking taylor expansion of (sqrt (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.791 * [taylor]: Taking taylor expansion of (sqrt (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.791 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.791 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.791 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.791 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.791 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.791 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.791 * [taylor]: Taking taylor expansion of 1.0 in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.794 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.794 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.799 * [taylor]: Taking taylor expansion of (sqrt (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.799 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.799 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.799 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.799 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.799 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.799 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.799 * [taylor]: Taking taylor expansion of 1.0 in x 1.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.802 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.802 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.802 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.802 * [taylor]: Taking taylor expansion of 1.0 in x 1.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.802 * [taylor]: Taking taylor expansion of x in x 1.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.856 * * * [progress]: simplifying candidates 1.859 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log1p (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ 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))))))) (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ 1 1) (+ (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (exp (* (sqrt (+ 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)))))) (sqrt (+ 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)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (* (cbrt (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))))) (cbrt (* (sqrt (+ 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)))))) (sqrt (+ 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 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(sqrt 1.0) 2))) 3)))) (sqrt (sqrt (* -1 (pow (sqrt 1.0) 2)))))) (fma (- +nan.0) (/ (/ 1.0 x) x) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ 1 x) +nan.0))) (fma (- +nan.0) (/ (sqrt 1.0) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ 1 x) +nan.0))) 1.927 * * * [progress]: adding candidates to table 2.448 * [progress]: [Phase 3 of 3] Extracting. 2.451 * [simplify]: Simplifying using # : (log (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) 2.451 * * [simplify]: iteration 0 : 15 enodes (cost 20 ) 2.452 * * [simplify]: iteration 1 : 15 enodes (cost 20 ) 2.452 * [simplify]: Simplified to: (log (* (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) 5.108 * [regime-testing]: End program error score: 0.03774307920935223