0.253 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.029 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.030 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.031 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.032 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.032 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.082 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.082 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.086 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.112 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.112 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.112 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.142 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.149 * [taylor]: Taking taylor expansion of -1 in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.168 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.168 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.168 * [taylor]: Taking taylor expansion of (+ x 1.0) 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 (sqrt (+ x 1.0)) in x 0.170 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.181 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.190 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.201 * * * [progress]: simplifying candidates 0.203 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* 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2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.208 * * [simplify]: iteration 0 : 137 enodes (cost 1993 ) 0.240 * * [simplify]: iteration 1 : 295 enodes (cost 1432 ) 0.311 * * [simplify]: iteration 2 : 708 enodes (cost 1124 ) 0.693 * * [simplify]: iteration 3 : 2221 enodes (cost 950 ) 1.310 * * [simplify]: iteration done : 5001 enodes (cost 943 ) 1.311 * [simplify]: Simplified to: (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (fma (- (fabs (cbrt x))) (sqrt (cbrt x)) (pow (cbrt (sqrt (+ x 1.0))) 3)) (* (sqrt (cbrt x)) (- (fabs (cbrt x)) (fabs (cbrt x)))) (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (fma (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (- (sqrt x))) 0 (fma (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (* (- (sqrt (cbrt x))) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (- (fabs (cbrt x)) (fabs (cbrt x)))) (fma (fabs (cbrt (+ x 1.0))) 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0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (- (fabs (cbrt x)) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (- (fabs (cbrt x)) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ x 1.0) (fma (sqrt x) (sqrt (+ x 1.0)) x)) (- (sqrt x)) (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (fma x x (* 1.0 (- 1.0 x)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (fma -1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (* x (- +nan.0 (* x +nan.0)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (fma -1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 1.312 * * * [progress]: adding candidates to table 1.465 * * [progress]: iteration 2 / 4 1.465 * * * [progress]: picking best candidate 1.469 * * * * [pick]: Picked # 1.469 * * * [progress]: localizing error 1.477 * * * [progress]: generating rewritten candidates 1.477 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.512 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.532 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.539 * * * [progress]: generating series expansions 1.540 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.540 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.541 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.541 * [taylor]: Taking taylor expansion of 1.0 in x 1.541 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.541 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.541 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of 1.0 in x 1.543 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.546 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.546 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.548 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.646 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.646 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.646 * [taylor]: Taking taylor expansion of 1.0 in x 1.646 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.646 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.646 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.648 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.648 * [taylor]: Taking taylor expansion of 1.0 in x 1.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.652 * [taylor]: Taking taylor expansion of 1.0 in x 1.652 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.654 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.687 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.687 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.687 * [taylor]: Taking taylor expansion of 1.0 in x 1.687 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.687 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.687 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.687 * [taylor]: Taking taylor expansion of -1 in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.689 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.689 * [taylor]: Taking taylor expansion of 1.0 in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.692 * [taylor]: Taking taylor expansion of 1.0 in x 1.692 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.692 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.692 * [taylor]: Taking taylor expansion of -1 in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.694 * [taylor]: Taking taylor expansion of 1.0 in x 1.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.719 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.720 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.720 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.720 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.720 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.722 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.723 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.723 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.724 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.749 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 1.749 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.751 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.751 * [taylor]: Taking taylor expansion of 1.0 in x 1.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.753 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.754 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.754 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.754 * [taylor]: Taking taylor expansion of 1.0 in x 1.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.754 * [taylor]: Taking taylor expansion of x in x 1.772 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.772 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.773 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.773 * [taylor]: Taking taylor expansion of -1 in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.774 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.774 * [taylor]: Taking taylor expansion of 1.0 in x 1.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.784 * [taylor]: Taking taylor expansion of -1 in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.785 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.785 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.785 * [taylor]: Taking taylor expansion of 1.0 in x 1.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.785 * [taylor]: Taking taylor expansion of x in x 1.804 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.804 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.804 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.804 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.804 * [taylor]: Taking taylor expansion of 1.0 in x 1.806 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.806 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.806 * [taylor]: Taking taylor expansion of x in x 1.806 * [taylor]: Taking taylor expansion of 1.0 in x 1.817 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 1.818 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.818 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.818 * [taylor]: Taking taylor expansion of 1.0 in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.820 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.820 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.829 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.829 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.841 * * * [progress]: simplifying candidates 1.843 * [simplify]: Simplifying using # : (expm1 (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 0 1.0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 0 1.0) (+ 0 1.0)) (+ 0 1.0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 0 1.0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 0 1.0)) (cbrt (+ 0 1.0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 0 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 0 1.0)) (cbrt (+ 0 1.0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 0 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 0 1.0)) (cbrt (+ 0 1.0))) 1) (/ (cbrt (+ 0 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 0 1.0)) (cbrt (+ 0 1.0))) (sqrt 1)) (/ (cbrt (+ 0 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 0 1.0)) (cbrt (+ 0 1.0))) (sqrt 1)) (/ (cbrt (+ 0 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 0 1.0)) (cbrt (+ 0 1.0))) 1) (/ (cbrt (+ 0 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 0 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 0 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 0 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 0 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 0 1.0)) 1) (/ (sqrt (+ 0 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 0 1.0)) (sqrt 1)) (/ (sqrt (+ 0 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 0 1.0)) (sqrt 1)) (/ (sqrt (+ 0 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 0 1.0)) 1) (/ (sqrt (+ 0 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 0 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 0 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 0 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 0 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 0 1.0)) (/ (+ 0 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 0 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 0 1.0) 1) (/ (+ 0 1.0) (sqrt 1)) (/ (+ 0 1.0) (sqrt 1)) (/ (+ 0 1.0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 0 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 0 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 0 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 0 1.0)) (/ (+ 0 1.0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 0 0) (- (* 1.0 1.0) (* 0 1.0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 0 1.0)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.848 * * [simplify]: iteration 0 : 169 enodes (cost 1453 ) 1.898 * * [simplify]: iteration 1 : 409 enodes (cost 1180 ) 2.041 * * [simplify]: iteration 2 : 1105 enodes (cost 1091 ) 2.988 * * [simplify]: iteration 3 : 3944 enodes (cost 1070 ) 4.043 * * [simplify]: iteration done : 5001 enodes (cost 1070 ) 4.044 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (fma (sqrt x) x (pow (sqrt (+ x 1.0)) 3))) (/ 1.0 1.0) (* (* 1.0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma (sqrt x) x (pow (sqrt (+ x 1.0)) 3)) (+ (- x (* (sqrt (+ x 1.0)) (sqrt x))) (+ x 1.0)) 1.0 (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (fma x x (* 1.0 (- 1.0 x)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (fma (- (/ x 1.0)) +nan.0 (* (/ (* x x) 1.0) (+ (/ +nan.0 (sqrt 1.0)) (/ +nan.0 1.0)))) (- (fma 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (fma (/ (* x x) 1.0) +nan.0 (* 0.5 (/ x (pow (sqrt 1.0) 3)))))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (+ (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (* x (- +nan.0 (* x +nan.0)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 4.045 * * * [progress]: adding candidates to table 4.271 * * [progress]: iteration 3 / 4 4.271 * * * [progress]: picking best candidate 4.287 * * * * [pick]: Picked # 4.287 * * * [progress]: localizing error 4.298 * * * [progress]: generating rewritten candidates 4.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.326 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.362 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 4.367 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 4.379 * * * [progress]: generating series expansions 4.379 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.379 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 4.379 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.379 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.379 * [taylor]: Taking taylor expansion of x in x 4.379 * [taylor]: Taking taylor expansion of 1.0 in x 4.381 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.381 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.381 * [taylor]: Taking taylor expansion of x in x 4.382 * [taylor]: Taking taylor expansion of 1.0 in x 4.393 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 4.393 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.393 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.393 * [taylor]: Taking taylor expansion of 1.0 in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.393 * [taylor]: Taking taylor expansion of x in x 4.395 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.395 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.395 * [taylor]: Taking taylor expansion of 1.0 in x 4.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.395 * [taylor]: Taking taylor expansion of x in x 4.404 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 4.404 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.404 * [taylor]: Taking taylor expansion of 1.0 in x 4.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.404 * [taylor]: Taking taylor expansion of x in x 4.406 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.406 * [taylor]: Taking taylor expansion of 1.0 in x 4.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.406 * [taylor]: Taking taylor expansion of x in x 4.415 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.416 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 4.416 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.416 * [taylor]: Taking taylor expansion of 1.0 in x 4.416 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.416 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.416 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.416 * [taylor]: Taking taylor expansion of x in x 4.416 * [taylor]: Taking taylor expansion of 1.0 in x 4.418 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.418 * [taylor]: Taking taylor expansion of x in x 4.420 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.420 * [taylor]: Taking taylor expansion of 1.0 in x 4.420 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.420 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.420 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.420 * [taylor]: Taking taylor expansion of x in x 4.420 * [taylor]: Taking taylor expansion of 1.0 in x 4.422 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.423 * [taylor]: Taking taylor expansion of x in x 4.520 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 4.520 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.520 * [taylor]: Taking taylor expansion of 1.0 in x 4.520 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.520 * [taylor]: Taking taylor expansion of x in x 4.522 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.522 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.522 * [taylor]: Taking taylor expansion of 1.0 in x 4.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.522 * [taylor]: Taking taylor expansion of x in x 4.525 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.525 * [taylor]: Taking taylor expansion of 1.0 in x 4.525 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.525 * [taylor]: Taking taylor expansion of x in x 4.530 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.530 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.530 * [taylor]: Taking taylor expansion of 1.0 in x 4.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.530 * [taylor]: Taking taylor expansion of x in x 4.555 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 4.555 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.555 * [taylor]: Taking taylor expansion of 1.0 in x 4.556 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.556 * [taylor]: Taking taylor expansion of -1 in x 4.556 * [taylor]: Taking taylor expansion of x in x 4.557 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.557 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.557 * [taylor]: Taking taylor expansion of 1.0 in x 4.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.557 * [taylor]: Taking taylor expansion of x in x 4.561 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.561 * [taylor]: Taking taylor expansion of 1.0 in x 4.561 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.561 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.561 * [taylor]: Taking taylor expansion of -1 in x 4.561 * [taylor]: Taking taylor expansion of x in x 4.562 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.562 * [taylor]: Taking taylor expansion of 1.0 in x 4.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.562 * [taylor]: Taking taylor expansion of x in x 4.587 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 4.587 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 4.587 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 4.587 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 4.587 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 4.587 * [taylor]: Taking taylor expansion of 1/4 in x 4.587 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 4.587 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.587 * [taylor]: Taking taylor expansion of x in x 4.587 * [taylor]: Taking taylor expansion of 1.0 in x 4.590 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 4.590 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 4.590 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 4.590 * [taylor]: Taking taylor expansion of 1/4 in x 4.590 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 4.590 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.590 * [taylor]: Taking taylor expansion of x in x 4.590 * [taylor]: Taking taylor expansion of 1.0 in x 4.636 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 4.636 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 4.636 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 4.636 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 4.636 * [taylor]: Taking taylor expansion of 1/4 in x 4.636 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 4.636 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.636 * [taylor]: Taking taylor expansion of 1.0 in x 4.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.636 * [taylor]: Taking taylor expansion of x in x 4.638 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 4.638 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 4.638 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 4.638 * [taylor]: Taking taylor expansion of 1/4 in x 4.638 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 4.638 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.638 * [taylor]: Taking taylor expansion of 1.0 in x 4.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.638 * [taylor]: Taking taylor expansion of x in x 4.662 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 4.662 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 4.662 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 4.662 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 4.662 * [taylor]: Taking taylor expansion of 1/4 in x 4.662 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 4.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.662 * [taylor]: Taking taylor expansion of 1.0 in x 4.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.662 * [taylor]: Taking taylor expansion of x in x 4.665 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 4.665 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 4.665 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 4.665 * [taylor]: Taking taylor expansion of 1/4 in x 4.665 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 4.665 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.665 * [taylor]: Taking taylor expansion of 1.0 in x 4.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.665 * [taylor]: Taking taylor expansion of x in x 4.696 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 4.696 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 4.696 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 4.696 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 4.696 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 4.696 * [taylor]: Taking taylor expansion of 1/4 in x 4.696 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 4.696 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.696 * [taylor]: Taking taylor expansion of x in x 4.696 * [taylor]: Taking taylor expansion of 1.0 in x 4.699 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 4.699 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 4.699 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 4.699 * [taylor]: Taking taylor expansion of 1/4 in x 4.699 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 4.699 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [taylor]: Taking taylor expansion of 1.0 in x 4.746 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 4.746 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 4.746 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 4.746 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 4.746 * [taylor]: Taking taylor expansion of 1/4 in x 4.746 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 4.746 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.746 * [taylor]: Taking taylor expansion of 1.0 in x 4.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.746 * [taylor]: Taking taylor expansion of x in x 4.748 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 4.748 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 4.748 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 4.748 * [taylor]: Taking taylor expansion of 1/4 in x 4.748 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 4.748 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.748 * [taylor]: Taking taylor expansion of 1.0 in x 4.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.748 * [taylor]: Taking taylor expansion of x in x 4.771 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 4.771 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 4.771 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 4.771 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 4.771 * [taylor]: Taking taylor expansion of 1/4 in x 4.771 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 4.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.771 * [taylor]: Taking taylor expansion of 1.0 in x 4.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.772 * [taylor]: Taking taylor expansion of x in x 4.774 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 4.774 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 4.774 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 4.774 * [taylor]: Taking taylor expansion of 1/4 in x 4.774 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 4.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.774 * [taylor]: Taking taylor expansion of 1.0 in x 4.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.775 * [taylor]: Taking taylor expansion of x in x 4.805 * * * [progress]: simplifying candidates 4.808 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (log1p (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (+ x 1.0) (+ x 1.0)) (+ 1 1) (+ (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0))))) (log (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (exp (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))))) (* (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt (- (* x x) (* 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(cbrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt 1)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) 1) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ x 1.0)))) (expm1 (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (log1p (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (- (log (+ 0 1.0)) (log (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (log (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (exp (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (* (* (+ 0 1.0) (+ 0 1.0)) (+ 0 1.0)) (* (* (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (* (cbrt (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (cbrt (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (cbrt (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (* (* (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (sqrt (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (sqrt (/ (+ 0 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (- (+ 0 1.0)) (- (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt (+ 0 1.0)) (cbrt (+ 0 1.0))) (* (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (/ (cbrt (+ 0 1.0)) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (* (cbrt (+ 0 1.0)) (cbrt (+ 0 1.0))) (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (cbrt (+ 0 1.0)) (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (* (cbrt (+ 0 1.0)) (cbrt (+ 0 1.0))) 1) (/ (cbrt (+ 0 1.0)) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt (+ 0 1.0)) (* (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (/ (sqrt (+ 0 1.0)) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (sqrt (+ 0 1.0)) (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (sqrt (+ 0 1.0)) (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (sqrt (+ 0 1.0)) 1) (/ (sqrt (+ 0 1.0)) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (* (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (/ (+ 0 1.0) (cbrt (+ (* (sqrt (sqrt (+ x 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(sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt 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(+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 4.818 * * [simplify]: iteration 0 : 266 enodes (cost 3296 ) 4.901 * * [simplify]: iteration 1 : 591 enodes (cost 1959 ) 5.109 * * [simplify]: iteration 2 : 1635 enodes (cost 1842 ) 5.563 * * [simplify]: iteration done : 5000 enodes (cost 1806 ) 5.564 * [simplify]: Simplified to: (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ x 1.0) (sqrt (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ x 1.0)) 2 (log (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (+ x 1.0) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (fma x x (* 1.0 (- 1.0 x)))) (* (sqrt (hypot (pow x 3/2) (pow 1.0 3/2))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (fma x x (* 1.0 (- 1.0 x))))) (sqrt (sqrt (- x 1.0)))) (* (sqrt (hypot (pow x 3/2) (pow 1.0 3/2))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (fma x x (* 1.0 (- 1.0 x))))) (sqrt (sqrt (- x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (* (pow (cbrt (sqrt (sqrt (+ x 1.0)))) 3) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 2 1/2 1 1/2 (* (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (hypot (pow x 3/2) (pow 1.0 3/2)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (hypot (pow x 3/2) (pow 1.0 3/2)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ x 1.0)))) (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3))) (/ 1.0 (- (+ x 1.0) x)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* 1.0 1.0)) (* (- 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (hypot (pow x 3/2) (pow 1.0 3/2))) (sqrt (sqrt (fma x x (* 1.0 (- 1.0 x))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (expm1 (sqrt (sqrt (+ x 1.0)))) (log1p (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (hypot (pow x 3/2) (pow 1.0 3/2))) (sqrt (sqrt (fma x x (* 1.0 (- 1.0 x))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (+ (sqrt 1.0) (fma 1/2 (/ x (sqrt 1.0)) (* -1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (+ (- (* (/ (* x x) 1.0) (+ (/ +nan.0 (sqrt 1.0)) (/ +nan.0 1.0))) (/ (* +nan.0 x) 1.0)) (- (fma 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (fma (/ (* x x) 1.0) +nan.0 (* 0.5 (/ x (pow (sqrt 1.0) 3)))))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (+ (* (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)) -1/8) (* (pow 1.0 1/4) (+ (* 0.25 x) (+ (* 0.03125 (* x x)) 1)))) (- (fma 0.25 (pow (/ 1 (pow x 3)) 1/4) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (+ (* (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- 0.25 (/ 0.09375 x))) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (+ (* (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)) -1/8) (* (pow 1.0 1/4) (+ (* 0.25 x) (+ (* 0.03125 (* x x)) 1)))) (- (fma 0.25 (pow (/ 1 (pow x 3)) 1/4) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (+ (* (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- 0.25 (/ 0.09375 x))) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) 5.566 * * * [progress]: adding candidates to table 5.970 * * [progress]: iteration 4 / 4 5.970 * * * [progress]: picking best candidate 5.986 * * * * [pick]: Picked # 5.986 * * * [progress]: localizing error 5.999 * * * [progress]: generating rewritten candidates 5.999 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 6.023 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 6.026 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 6.028 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 6.033 * * * [progress]: generating series expansions 6.033 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 6.034 * [approximate]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in (x) around 0 6.034 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 6.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 6.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 6.034 * [taylor]: Taking taylor expansion of 1/3 in x 6.034 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 6.034 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 6.034 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.034 * [taylor]: Taking taylor expansion of x in x 6.034 * [taylor]: Taking taylor expansion of 1.0 in x 6.037 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 6.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 6.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 6.037 * [taylor]: Taking taylor expansion of 1/3 in x 6.037 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 6.037 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 6.037 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.037 * [taylor]: Taking taylor expansion of x in x 6.037 * [taylor]: Taking taylor expansion of 1.0 in x 6.088 * [approximate]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 6.088 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 6.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 6.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 6.088 * [taylor]: Taking taylor expansion of 1/3 in x 6.088 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 6.088 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 6.088 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.088 * [taylor]: Taking taylor expansion of 1.0 in x 6.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.088 * [taylor]: Taking taylor expansion of x in x 6.090 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 6.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 6.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 6.090 * [taylor]: Taking taylor expansion of 1/3 in x 6.090 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 6.090 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 6.090 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.090 * [taylor]: Taking taylor expansion of 1.0 in x 6.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.090 * [taylor]: Taking taylor expansion of x in x 6.128 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 6.128 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 6.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 6.128 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 6.128 * [taylor]: Taking taylor expansion of 1/3 in x 6.128 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 6.128 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 6.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.128 * [taylor]: Taking taylor expansion of 1.0 in x 6.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.128 * [taylor]: Taking taylor expansion of x in x 6.131 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 6.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 6.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 6.131 * [taylor]: Taking taylor expansion of 1/3 in x 6.131 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 6.131 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 6.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.131 * [taylor]: Taking taylor expansion of 1.0 in x 6.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.131 * [taylor]: Taking taylor expansion of x in x 6.165 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 6.165 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 6.165 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 6.165 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 6.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 6.165 * [taylor]: Taking taylor expansion of 1/3 in x 6.165 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.165 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.165 * [taylor]: Taking taylor expansion of x in x 6.165 * [taylor]: Taking taylor expansion of 1.0 in x 6.168 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 6.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 6.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 6.168 * [taylor]: Taking taylor expansion of 1/3 in x 6.168 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.168 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.168 * [taylor]: Taking taylor expansion of x in x 6.168 * [taylor]: Taking taylor expansion of 1.0 in x 6.217 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 6.218 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 6.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 6.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 6.218 * [taylor]: Taking taylor expansion of 1/3 in x 6.218 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.218 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.218 * [taylor]: Taking taylor expansion of 1.0 in x 6.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.218 * [taylor]: Taking taylor expansion of x in x 6.219 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 6.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 6.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 6.219 * [taylor]: Taking taylor expansion of 1/3 in x 6.219 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.219 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.219 * [taylor]: Taking taylor expansion of 1.0 in x 6.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.220 * [taylor]: Taking taylor expansion of x in x 6.243 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 6.243 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.244 * [taylor]: Taking taylor expansion of 1/3 in x 6.244 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.244 * [taylor]: Taking taylor expansion of 1.0 in x 6.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.244 * [taylor]: Taking taylor expansion of x in x 6.246 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.246 * [taylor]: Taking taylor expansion of 1/3 in x 6.246 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.246 * [taylor]: Taking taylor expansion of 1.0 in x 6.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.246 * [taylor]: Taking taylor expansion of x in x 6.276 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 6.276 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 6.276 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 6.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 6.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 6.276 * [taylor]: Taking taylor expansion of 1/3 in x 6.276 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.276 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.276 * [taylor]: Taking taylor expansion of x in x 6.276 * [taylor]: Taking taylor expansion of 1.0 in x 6.279 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 6.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 6.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 6.279 * [taylor]: Taking taylor expansion of 1/3 in x 6.279 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.279 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.279 * [taylor]: Taking taylor expansion of x in x 6.279 * [taylor]: Taking taylor expansion of 1.0 in x 6.329 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 6.329 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 6.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 6.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 6.329 * [taylor]: Taking taylor expansion of 1/3 in x 6.329 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.329 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.329 * [taylor]: Taking taylor expansion of 1.0 in x 6.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.329 * [taylor]: Taking taylor expansion of x in x 6.331 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 6.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 6.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 6.331 * [taylor]: Taking taylor expansion of 1/3 in x 6.331 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.331 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.331 * [taylor]: Taking taylor expansion of 1.0 in x 6.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.331 * [taylor]: Taking taylor expansion of x in x 6.355 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 6.355 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.355 * [taylor]: Taking taylor expansion of 1/3 in x 6.355 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.355 * [taylor]: Taking taylor expansion of 1.0 in x 6.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.355 * [taylor]: Taking taylor expansion of x in x 6.358 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.358 * [taylor]: Taking taylor expansion of 1/3 in x 6.358 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.358 * [taylor]: Taking taylor expansion of 1.0 in x 6.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.358 * [taylor]: Taking taylor expansion of x in x 6.389 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 6.389 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 6.389 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 6.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 6.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 6.389 * [taylor]: Taking taylor expansion of 1/3 in x 6.389 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.389 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.389 * [taylor]: Taking taylor expansion of x in x 6.389 * [taylor]: Taking taylor expansion of 1.0 in x 6.392 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 6.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 6.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 6.392 * [taylor]: Taking taylor expansion of 1/3 in x 6.392 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 6.392 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.392 * [taylor]: Taking taylor expansion of x in x 6.392 * [taylor]: Taking taylor expansion of 1.0 in x 6.442 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 6.442 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 6.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 6.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 6.442 * [taylor]: Taking taylor expansion of 1/3 in x 6.442 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.442 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.442 * [taylor]: Taking taylor expansion of 1.0 in x 6.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.442 * [taylor]: Taking taylor expansion of x in x 6.443 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 6.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 6.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 6.444 * [taylor]: Taking taylor expansion of 1/3 in x 6.444 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 6.444 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 6.444 * [taylor]: Taking taylor expansion of 1.0 in x 6.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.444 * [taylor]: Taking taylor expansion of x in x 6.467 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 6.467 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.467 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.467 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.467 * [taylor]: Taking taylor expansion of 1/3 in x 6.467 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.467 * [taylor]: Taking taylor expansion of 1.0 in x 6.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.467 * [taylor]: Taking taylor expansion of x in x 6.470 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 6.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 6.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 6.470 * [taylor]: Taking taylor expansion of 1/3 in x 6.470 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 6.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.470 * [taylor]: Taking taylor expansion of 1.0 in x 6.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.470 * [taylor]: Taking taylor expansion of x in x 6.501 * * * [progress]: simplifying candidates 6.503 * [simplify]: Simplifying using # : (expm1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (log1p (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (+ 1/3 1/3) (+ 1 1) (* (+ x 1.0) (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ 1 1) (+ (log (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0)))) (log (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (exp (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (- x 1.0)) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* 1 1) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ x 1.0)) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt 1)) (* (cbrt (+ x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) 1) (* (cbrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (- (+ (* 0.5555555555555556 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.6666666666666666 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 0.6666666666666666 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.6666666666666666 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 6.508 * * [simplify]: iteration 0 : 143 enodes (cost 1535 ) 6.546 * * [simplify]: iteration 1 : 323 enodes (cost 1385 ) 6.613 * * [simplify]: iteration 2 : 874 enodes (cost 1323 ) 6.982 * * [simplify]: iteration 3 : 2565 enodes (cost 1174 ) 7.704 * * [simplify]: iteration done : 5001 enodes (cost 1174 ) 7.705 * [simplify]: Simplified to: (expm1 (pow (sqrt (cbrt (+ x 1.0))) 4)) (log1p (pow (sqrt (cbrt (+ x 1.0))) 4)) 2/3 2 (pow (cbrt (+ x 1.0)) 6) (pow (sqrt (cbrt (+ x 1.0))) 4) 2 (* 2 (log (cbrt (+ x 1.0)))) (* 2 (log (cbrt (+ x 1.0)))) (exp (pow (sqrt (cbrt (+ x 1.0))) 4)) (pow (cbrt (+ x 1.0)) 6) (* (cbrt (pow (sqrt (cbrt (+ x 1.0))) 4)) (cbrt (pow (sqrt (cbrt (+ x 1.0))) 4))) (cbrt (pow (sqrt (cbrt (+ x 1.0))) 4)) (pow (cbrt (+ x 1.0)) 6) (fabs (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (fma x x (* 1.0 (- 1.0 x)))) (cbrt (fma x x (* 1.0 (- 1.0 x))))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (fma x x (* 1.0 (- 1.0 x)))) (cbrt (- x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (fma x x (* 1.0 (- 1.0 x)))) (cbrt (- x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (pow (sqrt (cbrt (+ x 1.0))) 4)) (cbrt (pow (sqrt (cbrt (+ x 1.0))) 4))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (cbrt (cbrt (+ x 1.0))) 4) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) 2/3 2 (* (cbrt (pow (sqrt (cbrt (+ x 1.0))) 4)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (pow (cbrt (cbrt (+ x 1.0))) 4)) (pow (sqrt (cbrt (+ x 1.0))) 3) (cbrt (+ x 1.0)) (pow (cbrt (cbrt (+ x 1.0))) 4) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (cbrt (cbrt (+ x 1.0))) 4) (pow (sqrt (cbrt (+ x 1.0))) 3) (pow (sqrt (cbrt (+ x 1.0))) 4) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (pow (sqrt (cbrt (+ x 1.0))) 4)) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (fma x x (* 1.0 (- 1.0 x)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (pow (sqrt (cbrt (+ x 1.0))) 4)) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (fma x x (* 1.0 (- 1.0 x)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (pow (sqrt (cbrt (+ x 1.0))) 4)) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (fma x x (* 1.0 (- 1.0 x)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (fma (fma 0.6666666666666666 x 1) (cbrt 1.0) (* (* x x) (- (* (cbrt 1.0) 0.5555555555555556) (* 0.6666666666666666 (cbrt (/ 1 (pow 1.0 5))))))) (- (fma 0.6666666666666666 (cbrt (/ 1 x)) (pow (/ 1 x) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow x 4))))) (- (fma 0.6666666666666666 (cbrt (/ 1 x)) (pow (/ -1 x) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow x 4))))) (fma (fma x 0.3333333333333333 1) (cbrt 1.0) (* (* x x) (- (* (cbrt 1.0) 0.05555555555555555) (* (cbrt (/ 1 (pow 1.0 5))) 1/6)))) (- (fma 0.3333333333333333 (cbrt (/ 1 (pow x 2))) (pow (/ 1 x) -1/3)) (* (cbrt (/ 1 (pow x 5))) 0.1111111111111111)) (+ (cbrt (exp (+ 0 (log x)))) (* (/ (cbrt (exp (+ 0 (log x)))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x)))) (fma (fma x 0.3333333333333333 1) (cbrt 1.0) (* (* x x) (- (* (cbrt 1.0) 0.05555555555555555) (* (cbrt (/ 1 (pow 1.0 5))) 1/6)))) (- (fma 0.3333333333333333 (cbrt (/ 1 (pow x 2))) (pow (/ 1 x) -1/3)) (* (cbrt (/ 1 (pow x 5))) 0.1111111111111111)) (+ (cbrt (exp (+ 0 (log x)))) (* (/ (cbrt (exp (+ 0 (log x)))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x)))) (fma (fma x 0.3333333333333333 1) (cbrt 1.0) (* (* x x) (- (* (cbrt 1.0) 0.05555555555555555) (* (cbrt (/ 1 (pow 1.0 5))) 1/6)))) (- (fma 0.3333333333333333 (cbrt (/ 1 (pow x 2))) (pow (/ 1 x) -1/3)) (* (cbrt (/ 1 (pow x 5))) 0.1111111111111111)) (+ (cbrt (exp (+ 0 (log x)))) (* (/ (cbrt (exp (+ 0 (log x)))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x)))) 7.706 * * * [progress]: adding candidates to table 8.116 * [progress]: [Phase 3 of 3] Extracting. 8.117 * * [regime]: Finding splitpoints for: (# # # # # # #) 8.123 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.123 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 8.153 * * * [regime]: Found split indices: #