14.378 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (log (+ x (sqrt (+ (* x x) 1.0)))) 0.084 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.085 * * [simplify]: iteration 1 : 10 enodes (cost 5 ) 0.085 * [simplify]: Simplified to: (log (+ x (sqrt (+ (* x x) 1.0)))) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.087 * * * * [pick]: Picked # 0.087 * * * [progress]: localizing error 0.093 * * * [progress]: generating rewritten candidates 0.093 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.097 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.103 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.109 * * * [progress]: generating series expansions 0.110 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.155 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in (x) around 0 0.155 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.155 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.157 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.157 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.198 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.198 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.247 * [approximate]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.255 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.318 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.318 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.319 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.327 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.344 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.372 * * * [progress]: simplifying candidates 0.378 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (log (+ x (sqrt (+ (* x x) 1.0))))) (log1p (log (+ x (sqrt (+ (* x x) 1.0))))) (log (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))))) (log (- x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (log (+ x (sqrt (+ (* x x) 1.0))))) (exp (log (+ x (sqrt (+ (* x x) 1.0))))) (* (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (* (* (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0))))) (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (expm1 (+ x (sqrt (+ (* x x) 1.0)))) (log1p (+ x (sqrt (+ (* x x) 1.0)))) (* (exp x) (exp (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ x (sqrt (+ (* x x) 1.0)))) (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (* (* (+ x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0)))) (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0))))) (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)))) (- x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 0.25 (/ 1 (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 0.09375 (/ 1 (pow x 4))))) (- (+ (log 0.5) (+ (* 0.125 (/ 1 (pow x 4))) (log (/ -1 x)))) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.0078125 (/ 1 (* (pow x 4) (pow 0.5 2)))))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ (* 0.5 (/ 1 x)) (* 0.0625 (/ 1 (pow x 5))))) 0.384 * * [simplify]: iteration 0 : 331 enodes (cost 422 ) 0.389 * * [simplify]: iteration 1 : 1127 enodes (cost 385 ) 0.408 * * [simplify]: iteration 2 : 5002 enodes (cost 366 ) 0.410 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (pow (hypot x (sqrt 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (hypot x (sqrt 1.0)) (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) 1/2 (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (log (+ x (sqrt (+ (* x x) 1.0))))) (log1p (log (+ x (sqrt (+ (* x x) 1.0))))) (* 2 (log (cbrt (+ x (sqrt (+ (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) 0 (log (+ x (sqrt (+ (* x x) 1.0)))) 0 (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))))) (log (- x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (log (+ x (sqrt (+ (* x x) 1.0))))) (+ (hypot x (sqrt 1.0)) x) (* (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (pow (log (+ x (sqrt (+ (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (expm1 (+ x (sqrt (+ (* x x) 1.0)))) (log1p (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ (hypot x (sqrt 1.0)) x)) (log (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ (hypot x (sqrt 1.0)) x)) (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (pow (+ x (sqrt (+ (* x x) 1.0))) 3) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3)) (+ (fma x x 1.0) (* x (- x (sqrt (+ (* x x) 1.0))))) (- 0 1.0) (- x (sqrt (+ (* x x) 1.0))) (+ (hypot x (sqrt 1.0)) x) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))) (- (- (/ 0.125 (pow x 3)) x) (/ 0.5 x)) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))) (- (fma 0.125 (/ 1 (pow x 4)) (log (/ -1 x))) (- (fma 0.25 (/ 1 (pow x 2)) (/ (/ 0.0078125 (pow 0.5 2)) (pow x 4))) (log 0.5))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 0.125) (/ 1 (pow x 3)) (fma x 2 (/ 0.5 x))) (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))) 0.411 * * * [progress]: adding candidates to table 0.554 * * [progress]: iteration 2 / 4 0.554 * * * [progress]: picking best candidate 0.562 * * * * [pick]: Picked # 0.562 * * * [progress]: localizing error 0.573 * * * [progress]: generating rewritten candidates 0.573 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.625 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.660 * * * [progress]: generating series expansions 0.660 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.661 * [approximate]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.661 * [taylor]: Taking taylor expansion of 1/6 in x 0.661 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.661 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.661 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.666 * [taylor]: Taking taylor expansion of 1/6 in x 0.666 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.666 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.666 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.703 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.703 * [taylor]: Taking taylor expansion of 1/6 in x 0.703 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.703 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.703 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.708 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.708 * [taylor]: Taking taylor expansion of 1/6 in x 0.708 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.708 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.709 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.750 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.750 * [taylor]: Taking taylor expansion of -1/6 in x 0.750 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.750 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.755 * [taylor]: Taking taylor expansion of -1/6 in x 0.755 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.756 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.793 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in (x) around 0 0.793 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.793 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 0.793 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.793 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.793 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.795 * [taylor]: Taking taylor expansion of 1/6 in x 0.795 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.795 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.800 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 0.800 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.800 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.802 * [taylor]: Taking taylor expansion of 1/6 in x 0.802 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.802 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.802 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in (x) around 0 0.838 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 0.838 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 0.838 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.838 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 0.839 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.842 * [taylor]: Taking taylor expansion of 1/6 in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.842 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 0.848 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 0.848 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.848 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 0.849 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.852 * [taylor]: Taking taylor expansion of 1/6 in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.852 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.852 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.852 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.892 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in (x) around 0 0.892 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in x 0.892 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 0.892 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.892 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.892 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.894 * [taylor]: Taking taylor expansion of 1/6 in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.894 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.894 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.894 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 0.905 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in x 0.907 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 0.908 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.908 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.909 * [taylor]: Taking taylor expansion of 1/6 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.909 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.909 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 0.914 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.949 * * * [progress]: simplifying candidates 0.954 * [simplify]: Simplifying using # : (expm1 (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log1p (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (- (log (pow x 3)) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (log (pow x 3)) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (log (pow x 3)) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (log (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (exp (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 1/6) 1/6) (/ (* (* (pow x 3) (pow x 3)) (pow x 3)) (* (* (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3)) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 1/6) 1/6) (* (* (/ (pow x 3) (pow (sqrt 1.0) 3)) (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (sqrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (sqrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (* (cbrt (/ (pow x 3) (pow (sqrt 1.0) 3))) (cbrt (/ (pow x 3) (pow (sqrt 1.0) 3))))) (* 1/6 (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow 1 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow 1 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (sqrt 1.0))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) 1)) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (pow (sqrt x) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1) 3))) (* 1/6 (/ 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(sqrt 1.0) 3)))) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (/ x (sqrt 1.0)) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) 0.969 * * [simplify]: iteration 0 : 888 enodes (cost 2291 ) 0.987 * * [simplify]: iteration 1 : 4768 enodes (cost 1819 ) 1.064 * * [simplify]: iteration 2 : 5001 enodes (cost 1795 ) 1.075 * [simplify]: Simplified to: (expm1 (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log1p (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (pow (exp (pow (/ x (sqrt 1.0)) 3)) 1/6) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) 3) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) 3) (* (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 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(* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) 3/2))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) 3/2))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x 3/2) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x 3/2) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt 1.0) 3/2))) (* (sqrt 1/6) (/ (pow x 3/2) (pow (sqrt 1.0) 3/2))) (* (/ x (/ 1.0 x)) 1/6) (* 1/6 (fabs (pow (/ x (sqrt 1.0)) 3/2))) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (/ (* 1/6 (pow 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3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) 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(/ x (sqrt 1.0))) (* 1/6 (/ x (sqrt (pow (sqrt 1.0) 3)))) (* x 1/6) (* 1/6 (/ x (pow (sqrt 1.0) 3/2))) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (sqrt 1.0))) (* 1/6 (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt 1.0) 3/2))) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (sqrt 1.0)) (/ 1/6 (sqrt (pow (sqrt 1.0) 3))) 1/6 (/ 1/6 (pow (sqrt 1.0) 3/2)) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (sqrt 1.0))) (* 1/6 (/ (pow x 3/2) (sqrt (pow (sqrt 1.0) 3)))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (pow (sqrt 1.0) 3/2))) 1/6 (* 1/6 (pow x 3)) (* (pow (/ x (sqrt 1.0)) 3) (cbrt 1/6)) (* (pow (/ x (sqrt 1.0)) 3) (sqrt 1/6)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow x 3)) (fma (* (cbrt (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (cbrt (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (cbrt (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (pow (/ x (sqrt 1.0)) 3) (+ (- 1/6) 1/6)) (expm1 (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (log1p (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (/ (sqrt 1.0) (exp (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ x (sqrt 1.0))))) (/ (sqrt 1.0) (exp (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ x (sqrt 1.0))))) (log (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (/ (sqrt 1.0) (exp (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ x (sqrt 1.0))))) (* (cbrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (cbrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (pow (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) 3) (sqrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (sqrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (fma (* (+ (pow (log (sqrt 1.0)) 3) (pow (/ x (sqrt 1.0)) 3)) 1.0) (sqrt 1.0) (* (- (fma (/ x (sqrt 1.0)) (- (/ x (sqrt 1.0)) (log (sqrt 1.0))) (* (log (sqrt 1.0)) (log (sqrt 1.0))))) (* 1/6 (pow x 3)))) (* (* (fma (/ x (sqrt 1.0)) (- (/ x (sqrt 1.0)) (log (sqrt 1.0))) (* (log (sqrt 1.0)) (log (sqrt 1.0)))) 1.0) (sqrt 1.0)) (fma (* (fma (log (sqrt 1.0)) (log (sqrt 1.0)) (- (/ x (/ 1.0 x)))) 1.0) (sqrt 1.0) (- (* (- (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (pow x 3))))) (* (- (log (sqrt 1.0)) (/ x (sqrt 1.0))) (pow (sqrt 1.0) 3)) (fma (- 1/216) (pow (pow (/ x (sqrt 1.0)) 3) 3) (pow (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) 3)) (fma (pow (/ x (sqrt 1.0)) 3) (* 1/6 (fma (pow (/ x (sqrt 1.0)) 3) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (+ (* (- 1/36) (pow (/ x (sqrt 1.0)) 6)) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (fma (pow (/ x (sqrt 1.0)) 3) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (- (/ x (sqrt 1.0)) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) 1.077 * * * [progress]: adding candidates to table 1.468 * * [progress]: iteration 3 / 4 1.468 * * * [progress]: picking best candidate 1.474 * * * * [pick]: Picked # 1.474 * * * [progress]: localizing error 1.480 * * * [progress]: generating rewritten candidates 1.480 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.482 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.486 * * * [progress]: generating series expansions 1.486 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.487 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 1.487 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.487 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.487 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.487 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.487 * [taylor]: Taking taylor expansion of (* x x) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.487 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.494 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.494 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.494 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.494 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.494 * [taylor]: Taking taylor expansion of (* x x) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.494 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.494 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.495 * [taylor]: Taking taylor expansion of 1.0 in x 1.547 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.547 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.547 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.547 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.547 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.547 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.547 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.548 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.548 * [taylor]: Taking taylor expansion of 1.0 in x 1.548 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.548 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.552 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.552 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.552 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.552 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.553 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.629 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.629 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.629 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.629 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.629 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.629 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.629 * [taylor]: Taking taylor expansion of -1 in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.630 * [taylor]: Taking taylor expansion of -1 in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.630 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.630 * [taylor]: Taking taylor expansion of 1.0 in x 1.631 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.645 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.645 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.645 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.645 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.645 * [taylor]: Taking taylor expansion of -1 in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.645 * [taylor]: Taking taylor expansion of -1 in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.646 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.646 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.646 * [taylor]: Taking taylor expansion of 1.0 in x 1.646 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.646 * [taylor]: Taking taylor expansion of 1.0 in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.767 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.767 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 1.768 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.768 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.768 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.768 * [taylor]: Taking taylor expansion of (* x x) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.768 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.768 * [taylor]: Taking taylor expansion of 1.0 in x 1.769 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.769 * [taylor]: Taking taylor expansion of 1.0 in x 1.774 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.774 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.774 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.774 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.774 * [taylor]: Taking taylor expansion of (* x x) in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.774 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.774 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.774 * [taylor]: Taking taylor expansion of 1.0 in x 1.775 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.775 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.788 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.788 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.788 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.788 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.789 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.789 * [taylor]: Taking taylor expansion of 1.0 in x 1.790 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.790 * [taylor]: Taking taylor expansion of 1.0 in x 1.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.793 * [taylor]: Taking taylor expansion of x in x 1.793 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.793 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.793 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.793 * [taylor]: Taking taylor expansion of x in x 1.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.793 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.794 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.794 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.831 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.831 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.831 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.831 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.831 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.831 * [taylor]: Taking taylor expansion of -1 in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.831 * [taylor]: Taking taylor expansion of -1 in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.831 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.832 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.832 * [taylor]: Taking taylor expansion of 1.0 in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.836 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.836 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.836 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.836 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.836 * [taylor]: Taking taylor expansion of -1 in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.836 * [taylor]: Taking taylor expansion of -1 in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.836 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.837 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.837 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.892 * * * [progress]: simplifying candidates 1.893 * [simplify]: Simplifying using # : (expm1 (log (+ x (hypot x (sqrt 1.0))))) (log1p (log (+ x (hypot x (sqrt 1.0))))) (log (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (cbrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log 1) (log (+ x (hypot x (sqrt 1.0)))) (log 1) (log (+ x (hypot x (sqrt 1.0)))) (log (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3))) (log (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0)))))) (log (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))))) (log (- x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (+ x (hypot x (sqrt 1.0))))) (exp (log (+ x (hypot x (sqrt 1.0))))) (* (cbrt (log (+ x (hypot x (sqrt 1.0))))) (cbrt (log (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (hypot x (sqrt 1.0))))) (* (* (log (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0))))) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (* (exp x) (exp (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (* (* (+ x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0)))) (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))))) (- (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (+ (log (* 1/2 (pow (sqrt 1.0) 2))) (log (/ -1 x)))) (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 1.903 * * [simplify]: iteration 0 : 238 enodes (cost 284 ) 1.908 * * [simplify]: iteration 1 : 786 enodes (cost 255 ) 1.920 * * [simplify]: iteration 2 : 3259 enodes (cost 247 ) 1.974 * * [simplify]: iteration 3 : 5001 enodes (cost 245 ) 1.976 * [simplify]: Simplified to: (expm1 (log (+ x (hypot x (sqrt 1.0))))) (log1p (log (+ x (hypot x (sqrt 1.0))))) (* 2 (log (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (cbrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) 0 (log (+ x (hypot x (sqrt 1.0)))) 0 (log (+ x (hypot x (sqrt 1.0)))) (log (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3))) (log (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0)))))) (log (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))))) (log (- x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (+ x (hypot x (sqrt 1.0))))) (+ x (hypot x (sqrt 1.0))) (* (cbrt (log (+ x (hypot x (sqrt 1.0))))) (cbrt (log (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (hypot x (sqrt 1.0))))) (pow (log (+ x (hypot x (sqrt 1.0)))) 3) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (pow (+ x (hypot x (sqrt 1.0))) 3) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x) (pow x 2)) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (+ (fma (/ 1/4 x) (/ 1.0 x) (log 2)) (- (log x) (/ (* (* 1.0 1.0) 3/32) (pow x 4)))) (+ (fma 3/32 (/ 1.0 (/ (pow x 4) 1.0)) (log (/ -1 x))) (- (log (* 1/2 (pow (sqrt 1.0) 2))) (* (/ 1/4 x) (/ 1.0 x)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ 1.0 (/ x 1/2)))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) 1.976 * * * [progress]: adding candidates to table 2.056 * * [progress]: iteration 4 / 4 2.056 * * * [progress]: picking best candidate 2.061 * * * * [pick]: Picked # 2.061 * * * [progress]: localizing error 2.068 * * * [progress]: generating rewritten candidates 2.068 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.072 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.076 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.079 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.084 * * * [progress]: generating series expansions 2.084 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.085 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.085 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.085 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.085 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.085 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.085 * [taylor]: Taking taylor expansion of (* x x) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.085 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.086 * [taylor]: Taking taylor expansion of 1.0 in x 2.095 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.095 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.095 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.095 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.095 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.095 * [taylor]: Taking taylor expansion of (* x x) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.095 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.095 * [taylor]: Taking taylor expansion of 1.0 in x 2.095 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.209 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.210 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.210 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.210 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.210 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.210 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.210 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.210 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.210 * [taylor]: Taking taylor expansion of x in x 2.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.210 * [taylor]: Taking taylor expansion of x in x 2.210 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.210 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.210 * [taylor]: Taking taylor expansion of 1.0 in x 2.211 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.211 * [taylor]: Taking taylor expansion of 1.0 in x 2.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.216 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.216 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.216 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.216 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.216 * [taylor]: Taking taylor expansion of x in x 2.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.217 * [taylor]: Taking taylor expansion of x in x 2.217 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.217 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.217 * [taylor]: Taking taylor expansion of 1.0 in x 2.218 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.218 * [taylor]: Taking taylor expansion of 1.0 in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.260 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.260 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.260 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.260 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.260 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.261 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.261 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.261 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.261 * [taylor]: Taking taylor expansion of -1 in x 2.261 * [taylor]: Taking taylor expansion of x in x 2.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.261 * [taylor]: Taking taylor expansion of -1 in x 2.261 * [taylor]: Taking taylor expansion of x in x 2.261 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.261 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.261 * [taylor]: Taking taylor expansion of 1.0 in x 2.262 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.262 * [taylor]: Taking taylor expansion of 1.0 in x 2.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.285 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.285 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.285 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.285 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.285 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.285 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.285 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.285 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.285 * [taylor]: Taking taylor expansion of -1 in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.286 * [taylor]: Taking taylor expansion of -1 in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.286 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.286 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.286 * [taylor]: Taking taylor expansion of 1.0 in x 2.287 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.287 * [taylor]: Taking taylor expansion of 1.0 in x 2.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.290 * [taylor]: Taking taylor expansion of x in x 2.384 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.385 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.385 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.385 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.385 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.385 * [taylor]: Taking taylor expansion of x in x 2.385 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.385 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.385 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.385 * [taylor]: Taking taylor expansion of (* x x) in x 2.385 * [taylor]: Taking taylor expansion of x in x 2.385 * [taylor]: Taking taylor expansion of x in x 2.385 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.385 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.385 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.394 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.394 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.394 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.394 * [taylor]: Taking taylor expansion of x in x 2.394 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.395 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.395 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.395 * [taylor]: Taking taylor expansion of (* x x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.395 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.505 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.505 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.505 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.505 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.505 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.505 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.505 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.505 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.506 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.506 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.506 * [taylor]: Taking taylor expansion of 1.0 in x 2.507 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.507 * [taylor]: Taking taylor expansion of 1.0 in x 2.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.512 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.512 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.512 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.512 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.512 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.512 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.512 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.512 * [taylor]: Taking taylor expansion of x in x 2.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.512 * [taylor]: Taking taylor expansion of x in x 2.512 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.512 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.512 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.561 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.561 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.561 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.561 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.561 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.561 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.561 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.561 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.561 * [taylor]: Taking taylor expansion of -1 in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.561 * [taylor]: Taking taylor expansion of -1 in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.562 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.562 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.562 * [taylor]: Taking taylor expansion of 1.0 in x 2.562 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.562 * [taylor]: Taking taylor expansion of 1.0 in x 2.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.566 * [taylor]: Taking taylor expansion of x in x 2.579 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.579 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.579 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.579 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.579 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.579 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.579 * [taylor]: Taking taylor expansion of -1 in x 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.579 * [taylor]: Taking taylor expansion of -1 in x 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.579 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.579 * [taylor]: Taking taylor expansion of 1.0 in x 2.580 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.580 * [taylor]: Taking taylor expansion of 1.0 in x 2.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.583 * [taylor]: Taking taylor expansion of x in x 2.679 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.679 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.679 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.679 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.679 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.679 * [taylor]: Taking taylor expansion of (* x x) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.679 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.680 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.680 * [taylor]: Taking taylor expansion of 1.0 in x 2.685 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.685 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.685 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.685 * [taylor]: Taking taylor expansion of (* x x) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.685 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.685 * [taylor]: Taking taylor expansion of 1.0 in x 2.693 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.693 * [taylor]: Taking taylor expansion of 1.0 in x 2.706 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.706 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.706 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.706 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.706 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.706 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.706 * [taylor]: Taking taylor expansion of x in x 2.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.706 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.707 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.707 * [taylor]: Taking taylor expansion of 1.0 in x 2.707 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.707 * [taylor]: Taking taylor expansion of 1.0 in x 2.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.711 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.711 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.711 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.711 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.712 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.712 * [taylor]: Taking taylor expansion of 1.0 in x 2.712 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.712 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.715 * [taylor]: Taking taylor expansion of x in x 2.743 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.743 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.743 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.743 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.743 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.743 * [taylor]: Taking taylor expansion of -1 in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.743 * [taylor]: Taking taylor expansion of -1 in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.748 * [taylor]: Taking taylor expansion of x in x 2.748 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.748 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.748 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.748 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.748 * [taylor]: Taking taylor expansion of -1 in x 2.748 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.749 * [taylor]: Taking taylor expansion of -1 in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.749 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.749 * [taylor]: Taking taylor expansion of 1.0 in x 2.750 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.750 * [taylor]: Taking taylor expansion of 1.0 in x 2.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.811 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.811 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.811 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.811 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.811 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.811 * [taylor]: Taking taylor expansion of (* x x) in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.811 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.811 * [taylor]: Taking taylor expansion of 1.0 in x 2.812 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.812 * [taylor]: Taking taylor expansion of 1.0 in x 2.817 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.817 * [taylor]: Taking taylor expansion of x in x 2.817 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.817 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.817 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.817 * [taylor]: Taking taylor expansion of (* x x) in x 2.817 * [taylor]: Taking taylor expansion of x in x 2.817 * [taylor]: Taking taylor expansion of x in x 2.817 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.817 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.817 * [taylor]: Taking taylor expansion of 1.0 in x 2.818 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.818 * [taylor]: Taking taylor expansion of 1.0 in x 2.831 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.831 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.831 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.831 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.831 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.831 * [taylor]: Taking taylor expansion of x in x 2.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.832 * [taylor]: Taking taylor expansion of x in x 2.832 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.832 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.832 * [taylor]: Taking taylor expansion of 1.0 in x 2.833 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.833 * [taylor]: Taking taylor expansion of 1.0 in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.836 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.836 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.836 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.837 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.837 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.837 * [taylor]: Taking taylor expansion of 1.0 in x 2.837 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.837 * [taylor]: Taking taylor expansion of 1.0 in x 2.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.841 * [taylor]: Taking taylor expansion of x in x 2.874 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.874 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.874 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.875 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.875 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.875 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.875 * [taylor]: Taking taylor expansion of -1 in x 2.875 * [taylor]: Taking taylor expansion of x in x 2.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.875 * [taylor]: Taking taylor expansion of -1 in x 2.875 * [taylor]: Taking taylor expansion of x in x 2.875 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.875 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.875 * [taylor]: Taking taylor expansion of 1.0 in x 2.876 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.876 * [taylor]: Taking taylor expansion of 1.0 in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.879 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.880 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.880 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.880 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.880 * [taylor]: Taking taylor expansion of -1 in x 2.880 * [taylor]: Taking taylor expansion of x in x 2.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.880 * [taylor]: Taking taylor expansion of -1 in x 2.880 * [taylor]: Taking taylor expansion of x in x 2.880 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.880 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.880 * [taylor]: Taking taylor expansion of 1.0 in x 2.881 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.881 * [taylor]: Taking taylor expansion of 1.0 in x 2.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.884 * [taylor]: Taking taylor expansion of x in x 2.942 * * * [progress]: simplifying candidates 2.943 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (* (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))) (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log 1) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (exp (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (* (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (* (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))) (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log 1) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (exp (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (* (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (* (exp x) (exp (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (* (* (+ x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0)))) (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (* (exp x) (exp (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (* (* (+ x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0)))) (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (- (+ (* 1/2 (/ x (sqrt 1.0))) (log (sqrt (sqrt 1.0)))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log +nan.0) (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) (- (+ (* 1/2 (/ x (sqrt 1.0))) (log (sqrt (sqrt 1.0)))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log +nan.0) (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 2.948 * * [simplify]: iteration 0 : 285 enodes (cost 724 ) 2.954 * * [simplify]: iteration 1 : 883 enodes (cost 658 ) 2.969 * * [simplify]: iteration 2 : 3992 enodes (cost 630 ) 3.058 * * [simplify]: iteration 3 : 5001 enodes (cost 624 ) 3.062 * [simplify]: Simplified to: (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (+ x (hypot x (sqrt 1.0)))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (pow (log (sqrt (+ x (hypot x (sqrt 1.0))))) 3) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (+ x (hypot x (sqrt 1.0)))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (pow (log (sqrt (+ x (hypot x (sqrt 1.0))))) 3) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (pow (+ x (hypot x (sqrt 1.0))) 3) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x) (pow x 2)) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (pow (+ x (hypot x (sqrt 1.0))) 3) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x) (pow x 2)) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (fma 1/2 (/ x (sqrt 1.0)) (- (log (sqrt (sqrt 1.0))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (- (log +nan.0) (* (/ +nan.0 x) (- (/ 1.0 x) (/ 1 x)))) (/ +nan.0 x)) (fma (/ 1.0 x) (- (/ +nan.0 x) +nan.0) (+ (log +nan.0) (- (fma 2 (log (sqrt 1.0)) (log (/ -1 x))) (/ (* (* 1.0 1.0) +nan.0) (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (log (sqrt (sqrt 1.0))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (- (log +nan.0) (* (/ +nan.0 x) (- (/ 1.0 x) (/ 1 x)))) (/ +nan.0 x)) (fma (/ 1.0 x) (- (/ +nan.0 x) +nan.0) (+ (log +nan.0) (- (fma 2 (log (sqrt 1.0)) (log (/ -1 x))) (/ (* (* 1.0 1.0) +nan.0) (pow x 2))))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ (* 1.0 1/2) x))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ (* 1.0 1/2) x))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) 3.063 * * * [progress]: adding candidates to table 3.370 * [progress]: [Phase 3 of 3] Extracting. 3.370 * * [regime]: Finding splitpoints for: (# # #) 3.370 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.370 * * * * [regimes]: Trying to branch on x from (# # #) 3.412 * * * [regime]: Found split indices: #