44.938 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.018 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.019 * [simplify]: Simplified to: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.034 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.039 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.040 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.112 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.122 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.151 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.151 * [taylor]: Taking taylor expansion of -1 in x 0.151 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.160 * [taylor]: Taking taylor expansion of -1 in x 0.160 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.160 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.194 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.194 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.196 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.215 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.226 * * * [progress]: simplifying candidates 0.227 * [simplify]: Simplifying using # : (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* x x) x) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 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) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x 1) (/ x 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (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))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (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))))) 0.232 * * [simplify]: iteration 0 : 304 enodes (cost 400 ) 0.238 * * [simplify]: iteration 1 : 1151 enodes (cost 366 ) 0.258 * * [simplify]: iteration 2 : 5002 enodes (cost 357 ) 0.261 * [simplify]: Simplified to: (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 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) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (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 (+ (* 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))) (fma (- 1/2) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.261 * * * [progress]: adding candidates to table 0.362 * * [progress]: iteration 2 / 4 0.362 * * * [progress]: picking best candidate 0.368 * * * * [pick]: Picked # 0.368 * * * [progress]: localizing error 0.375 * * * [progress]: generating rewritten candidates 0.375 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.383 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.395 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2) 0.402 * * * [progress]: generating series expansions 0.402 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.402 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.402 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.402 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.402 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.472 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.472 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.472 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.472 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.475 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.491 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.491 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.494 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.494 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.515 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.516 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.516 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.519 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.582 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.582 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.582 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.591 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.632 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.632 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2) 0.662 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.662 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.665 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.676 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.684 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.684 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.699 * * * [progress]: simplifying candidates 0.700 * [simplify]: Simplifying using # : (expm1 (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (log (+ 1.0 (sqrt (+ x 1.0))))) (- 0 (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (+ (log x) (- (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- 0 (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* 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) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (* x (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* x (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (* (cbrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x 1) (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 (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (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))))) 0.707 * * [simplify]: iteration 0 : 442 enodes (cost 749 ) 0.716 * * [simplify]: iteration 1 : 1974 enodes (cost 650 ) 0.749 * * [simplify]: iteration 2 : 5001 enodes (cost 606 ) 0.753 * [simplify]: Simplified to: (expm1 (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (pow (+ 1.0 (sqrt (+ x 1.0))) 3)) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (pow (+ 1.0 (sqrt (+ x 1.0))) 3)) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 1 (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (* (- (- (* 1.0 1.0) x) 1.0) 1)) (expm1 (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (exp (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* x (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (* x (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x x x (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) 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 (+ (* 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))) (fma (- 1/2) (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 2) (pow (+ (sqrt 1.0) 1.0) 3))) (/ 1 (+ (sqrt 1.0) 1.0))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma (- 1/2) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 0.753 * * * [progress]: adding candidates to table 0.893 * * [progress]: iteration 3 / 4 0.893 * * * [progress]: picking best candidate 0.898 * * * * [pick]: Picked # 0.898 * * * [progress]: localizing error 0.905 * * * [progress]: generating rewritten candidates 0.905 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.915 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.923 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2) 0.933 * * * [progress]: generating series expansions 0.933 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.933 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.933 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.933 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.933 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.937 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.006 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.006 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.006 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.015 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.015 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.015 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.044 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.044 * [taylor]: Taking taylor expansion of -1 in x 1.044 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.044 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.057 * [taylor]: Taking taylor expansion of -1 in x 1.057 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.057 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.088 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in (x) around 0 1.088 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in x 1.088 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.088 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.090 * [taylor]: Taking taylor expansion of 1.0 in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in x 1.091 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.091 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.118 * [approximate]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.118 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.118 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.120 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.146 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.146 * [taylor]: Taking taylor expansion of -1 in x 1.146 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.146 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.148 * [taylor]: Taking taylor expansion of -1 in x 1.148 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.148 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2) 1.178 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.178 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.178 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.180 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.180 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 1.190 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.190 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.192 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.200 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.200 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.202 * [taylor]: Taking taylor expansion of 1.0 in x 1.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.210 * * * [progress]: simplifying candidates 1.213 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log1p (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (- (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 0 (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- 0 (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- (log 1) (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- (log 1) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (exp (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (* 1 1) 1) (/ (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (* (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (* (* (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (- (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ (cbrt 1) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (cbrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ (sqrt 1) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ (sqrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ 1 (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ 1 (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 1) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (/ 1 x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (/ (+ 1.0 (sqrt (+ x 1.0))) x) 1) (/ 1 (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (/ (+ 1.0 (sqrt (+ x 1.0))) x) (cbrt 1)) (/ (/ (+ 1.0 (sqrt (+ x 1.0))) x) (sqrt 1)) (/ (/ (+ 1.0 (sqrt (+ x 1.0))) x) 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (expm1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (log1p (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x)) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (exp (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (* (* x x) x)) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (* (* (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (- (+ 1.0 (sqrt (+ x 1.0)))) (- x) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (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)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 x) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (* x (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0)))))) (* x (- 1.0 (sqrt (+ x 1.0)))) (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))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (/ (sqrt 1.0) x) (+ (* 1/2 (/ 1 (sqrt 1.0))) (* 1.0 (/ 1 x)))) (* 1/8 (/ x (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (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))))) 1.221 * * [simplify]: iteration 0 : 589 enodes (cost 1343 ) 1.233 * * [simplify]: iteration 1 : 2642 enodes (cost 1200 ) 1.270 * * [simplify]: iteration 2 : 5002 enodes (cost 1107 ) 1.280 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log1p (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (exp (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (- (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* 1 (cbrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) x (/ (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* 1 (cbrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) x (/ (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* 1 (cbrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) x (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (expm1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (log1p (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (exp (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (- (+ 1.0 (sqrt (+ x 1.0)))) (- x) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (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)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 x) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (+ 1.0 (sqrt (+ x 1.0))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (* (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0)))) x) (* x (- 1.0 (sqrt (+ x 1.0)))) (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 (+ (* 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))) (fma (- 1/2) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (+ (fma 1.0 (/ 1 x) (/ 1/2 (sqrt 1.0))) (- (/ (sqrt 1.0) x) (* 1/8 (/ x (pow (sqrt 1.0) 3))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 1.281 * * * [progress]: adding candidates to table 1.446 * * [progress]: iteration 4 / 4 1.446 * * * [progress]: picking best candidate 1.449 * * * * [pick]: Picked # 1.449 * * * [progress]: localizing error 1.458 * * * [progress]: generating rewritten candidates 1.458 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.461 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.462 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.469 * * * [progress]: generating series expansions 1.469 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.469 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.469 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.469 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.469 * [taylor]: Taking taylor expansion of 1/3 in x 1.469 * [taylor]: Taking taylor expansion of (log x) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.470 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.470 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.470 * [taylor]: Taking taylor expansion of 1/3 in x 1.470 * [taylor]: Taking taylor expansion of (log x) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.523 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.523 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.523 * [taylor]: Taking taylor expansion of 1/3 in x 1.523 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.524 * [taylor]: Taking taylor expansion of 1/3 in x 1.524 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.580 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.580 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.580 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.580 * [taylor]: Taking taylor expansion of -1 in x 1.581 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.581 * [taylor]: Taking taylor expansion of 1/3 in x 1.581 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.582 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.582 * [taylor]: Taking taylor expansion of -1 in x 1.583 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.583 * [taylor]: Taking taylor expansion of 1/3 in x 1.583 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.652 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.652 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.652 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.652 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.652 * [taylor]: Taking taylor expansion of 1/3 in x 1.652 * [taylor]: Taking taylor expansion of (log x) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.653 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.653 * [taylor]: Taking taylor expansion of 1/3 in x 1.653 * [taylor]: Taking taylor expansion of (log x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.702 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.702 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.702 * [taylor]: Taking taylor expansion of 1/3 in x 1.702 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.703 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.703 * [taylor]: Taking taylor expansion of 1/3 in x 1.703 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.760 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.760 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.760 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.760 * [taylor]: Taking taylor expansion of -1 in x 1.761 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.761 * [taylor]: Taking taylor expansion of 1/3 in x 1.761 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.762 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.762 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.762 * [taylor]: Taking taylor expansion of -1 in x 1.763 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.763 * [taylor]: Taking taylor expansion of 1/3 in x 1.763 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.832 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.832 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.832 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.832 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.832 * [taylor]: Taking taylor expansion of 1/3 in x 1.832 * [taylor]: Taking taylor expansion of (log x) in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.833 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.833 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.833 * [taylor]: Taking taylor expansion of 1/3 in x 1.833 * [taylor]: Taking taylor expansion of (log x) in x 1.833 * [taylor]: Taking taylor expansion of x in x 1.886 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.886 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of 1/3 in x 1.886 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.887 * [taylor]: Taking taylor expansion of 1/3 in x 1.887 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.940 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.940 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.940 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.940 * [taylor]: Taking taylor expansion of -1 in x 1.941 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.941 * [taylor]: Taking taylor expansion of 1/3 in x 1.941 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.942 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.942 * [taylor]: Taking taylor expansion of -1 in x 1.942 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.942 * [taylor]: Taking taylor expansion of 1/3 in x 1.942 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.943 * [taylor]: Taking taylor expansion of x in x 2.013 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.013 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 2.014 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.014 * [taylor]: Taking taylor expansion of 1/3 in x 2.014 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.015 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.015 * [taylor]: Taking taylor expansion of 1/3 in x 2.015 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.074 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 2.074 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.074 * [taylor]: Taking taylor expansion of 1/3 in x 2.075 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.076 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.076 * [taylor]: Taking taylor expansion of 1/3 in x 2.076 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.139 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 2.139 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.139 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.139 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.139 * [taylor]: Taking taylor expansion of -1 in x 2.140 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.140 * [taylor]: Taking taylor expansion of 1/3 in x 2.140 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.140 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.141 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.141 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.141 * [taylor]: Taking taylor expansion of -1 in x 2.142 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.142 * [taylor]: Taking taylor expansion of 1/3 in x 2.142 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.142 * [taylor]: Taking taylor expansion of x in x 2.226 * * * [progress]: simplifying candidates 2.227 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.231 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 2.235 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 2.249 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 2.315 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 2.318 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.318 * * * [progress]: adding candidates to table 2.493 * [progress]: [Phase 3 of 3] Extracting. 2.493 * * [regime]: Finding splitpoints for: (# # # #) 2.494 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.494 * * * * [regimes]: Trying to branch on x from (# # # #) 2.512 * * * [regime]: Found split indices: #