26.309 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.066 * [simplify]: Simplifying using # : (log (+ x (sqrt (+ (* x x) 1.0)))) 0.068 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.070 * * [simplify]: iteration 1 : 10 enodes (cost 5 ) 0.070 * [simplify]: Simplified to: (log (+ x (sqrt (+ (* x x) 1.0)))) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.072 * * * * [pick]: Picked # 0.072 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.086 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.091 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.098 * * * [progress]: generating series expansions 0.098 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.098 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.142 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.142 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.145 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.192 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.241 * [approximate]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.241 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.254 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [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 0.316 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.316 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in (x) around 0 0.316 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.316 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of x in x 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 0.331 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.350 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.379 * * * [progress]: simplifying candidates 0.379 * [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 ) 0.390 * * [simplify]: iteration 1 : 1127 enodes (cost 385 ) 0.411 * * [simplify]: iteration 2 : 5002 enodes (cost 366 ) 0.413 * [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)))) 0.414 * * * [progress]: adding candidates to table 0.573 * * [progress]: iteration 2 / 4 0.573 * * * [progress]: picking best candidate 0.584 * * * * [pick]: Picked # 0.584 * * * [progress]: localizing error 0.595 * * * [progress]: generating rewritten candidates 0.595 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.667 * * * [progress]: generating series expansions 0.667 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.668 * [approximate]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.668 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.668 * [taylor]: Taking taylor expansion of 1/6 in x 0.668 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.668 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.668 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.668 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.672 * [taylor]: Taking taylor expansion of 1/6 in x 0.672 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.672 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.672 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.719 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.720 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.720 * [taylor]: Taking taylor expansion of 1/6 in x 0.720 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.720 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.720 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.725 * [taylor]: Taking taylor expansion of 1/6 in x 0.725 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.725 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.725 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.763 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.763 * [taylor]: Taking taylor expansion of -1/6 in x 0.763 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.763 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.763 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.768 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.768 * [taylor]: Taking taylor expansion of -1/6 in x 0.768 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.768 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.768 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.768 * [taylor]: Taking taylor expansion of 1.0 in x 0.811 * * * [progress]: simplifying candidates 0.815 * [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) 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(sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt 1) 3))) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (sqrt (pow x 3)) (pow 1 3))) (* 1/6 (/ (sqrt (pow x 3)) (sqrt 1.0))) (* 1/6 (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (sqrt (pow x 3)) 1)) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ 1 (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ 1 (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ 1 (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ 1 (pow (sqrt 1) 3))) (* 1/6 (/ 1 (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ 1 (pow 1 3))) (* 1/6 (/ 1 (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ 1 (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ 1 (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ 1 (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ 1 (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ 1 (pow (sqrt 1) 3))) (* 1/6 (/ 1 (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ 1 (pow 1 3))) (* 1/6 (/ 1 (sqrt 1.0))) (* 1/6 (/ 1 (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ 1 1)) (* 1/6 (/ 1 (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (pow x (/ 3 2)) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt 1) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow 1 3))) (* 1/6 (/ (pow x (/ 3 2)) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow x (/ 3 2)) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow x (/ 3 2)) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt 1) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow 1 3))) (* 1/6 (/ (pow x (/ 3 2)) (sqrt 1.0))) (* 1/6 (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x (/ 3 2)) 1)) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 1) (* 1/6 (pow x 3)) (* (cbrt 1/6) (/ (pow x 3) (pow (sqrt 1.0) 3))) (* (sqrt 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)) (* 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))) 0.827 * * [simplify]: iteration 0 : 729 enodes (cost 1769 ) 0.841 * * [simplify]: iteration 1 : 3838 enodes (cost 1380 ) 0.892 * * [simplify]: iteration 2 : 5003 enodes (cost 1380 ) 0.901 * [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 3) (pow (sqrt 1.0) 3))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (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)))) (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 1.0) 3))) 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)))) (* (/ 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))) (* (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) (sqrt 1.0))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt 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)) (* (/ 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) (* (/ 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))) (* (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) (sqrt 1.0))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt 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 x) 1.0) (/ (* 1/6 x) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ x (pow (sqrt (sqrt 1.0)) 3))) (* x 1/6) (* 1/6 (/ x (pow (sqrt (sqrt 1.0)) 3))) (* x 1/6) (/ (* 1/6 x) 1.0) (/ (* 1/6 x) 1.0) (/ (* 1/6 x) 1.0) (/ (* 1/6 x) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ x (pow (sqrt (sqrt 1.0)) 3))) (* x 1/6) (* 1/6 (/ x (pow (sqrt (sqrt 1.0)) 3))) (* x 1/6) (* 1/6 (/ 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)) (* (cbrt 1/6) (/ (pow x 3) (pow (sqrt 1.0) 3))) (* (sqrt 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)) (* 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))) 0.902 * * * [progress]: adding candidates to table 1.224 * * [progress]: iteration 3 / 4 1.224 * * * [progress]: picking best candidate 1.236 * * * * [pick]: Picked # 1.236 * * * [progress]: localizing error 1.242 * * * [progress]: generating rewritten candidates 1.242 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.245 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.248 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.249 * * * [progress]: generating series expansions 1.249 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.250 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 1.250 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.250 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.250 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.250 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.250 * [taylor]: Taking taylor expansion of (* x x) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.250 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.250 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.258 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.258 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.258 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.258 * [taylor]: Taking taylor expansion of (* x x) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.258 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.315 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.315 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.315 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.315 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.315 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.315 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.316 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.317 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.321 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.321 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.321 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.321 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.321 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.321 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.321 * [taylor]: Taking taylor expansion of 1.0 in x 1.322 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.322 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.401 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.401 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.401 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.401 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.401 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.401 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.401 * [taylor]: Taking taylor expansion of -1 in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.402 * [taylor]: Taking taylor expansion of -1 in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.402 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.417 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.418 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.418 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.418 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.418 * [taylor]: Taking taylor expansion of -1 in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.418 * [taylor]: Taking taylor expansion of -1 in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.418 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.540 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.541 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 1.541 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.541 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.541 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.541 * [taylor]: Taking taylor expansion of (* x x) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.541 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.541 * [taylor]: Taking taylor expansion of 1.0 in x 1.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.547 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.547 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.547 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.547 * [taylor]: Taking taylor expansion of (* x x) in x 1.547 * [taylor]: Taking taylor expansion of 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 1.547 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.547 * [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 1.568 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.568 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.568 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.568 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.568 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.568 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.569 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.569 * [taylor]: Taking taylor expansion of 1.0 in x 1.569 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.570 * [taylor]: Taking taylor expansion of 1.0 in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.573 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.573 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.573 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.573 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.573 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.574 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.574 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.575 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.607 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.607 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.607 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.607 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.607 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.607 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.607 * [taylor]: Taking taylor expansion of -1 in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.607 * [taylor]: Taking taylor expansion of -1 in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.608 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.612 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.612 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.612 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.612 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.612 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.612 * [taylor]: Taking taylor expansion of -1 in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.613 * [taylor]: Taking taylor expansion of -1 in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.613 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.613 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.677 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.677 * [approximate]: Taking taylor expansion of (hypot x (sqrt 1.0)) in (x) around 0 1.677 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.677 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.677 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.677 * [taylor]: Taking taylor expansion of (* x x) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.677 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.677 * [taylor]: Taking taylor expansion of 1.0 in x 1.678 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.678 * [taylor]: Taking taylor expansion of 1.0 in x 1.683 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.683 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.683 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.683 * [taylor]: Taking taylor expansion of (* x x) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.683 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.683 * [taylor]: Taking taylor expansion of 1.0 in x 1.684 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.684 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in (x) around 0 1.710 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.710 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.710 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.710 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.710 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.710 * [taylor]: Taking taylor expansion of 1.0 in x 1.711 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.711 * [taylor]: Taking taylor expansion of 1.0 in x 1.714 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.715 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.715 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.715 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.715 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.715 * [taylor]: Taking taylor expansion of 1.0 in x 1.716 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.716 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in (x) around 0 1.748 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.748 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.748 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.748 * [taylor]: Taking taylor expansion of -1 in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.748 * [taylor]: Taking taylor expansion of -1 in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.749 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.753 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.753 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.753 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.753 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.753 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.753 * [taylor]: Taking taylor expansion of -1 in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.753 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.753 * [taylor]: Taking taylor expansion of -1 in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.754 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.754 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.754 * [taylor]: Taking taylor expansion of 1.0 in x 1.754 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.755 * [taylor]: Taking taylor expansion of 1.0 in x 1.780 * * * [progress]: simplifying candidates 1.781 * [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))) (expm1 (hypot x (sqrt 1.0))) (log1p (hypot x (sqrt 1.0))) (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) (log (hypot x (sqrt 1.0))) (exp (hypot x (sqrt 1.0))) (* (cbrt (hypot x (sqrt 1.0))) (cbrt (hypot x (sqrt 1.0)))) (cbrt (hypot x (sqrt 1.0))) (* (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0))) (sqrt (hypot x (sqrt 1.0))) (sqrt (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)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ 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))) (+ x (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 1.785 * * [simplify]: iteration 0 : 268 enodes (cost 349 ) 1.790 * * [simplify]: iteration 1 : 886 enodes (cost 321 ) 1.804 * * [simplify]: iteration 2 : 3696 enodes (cost 305 ) 1.865 * * [simplify]: iteration 3 : 5001 enodes (cost 303 ) 1.867 * [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))) (expm1 (hypot x (sqrt 1.0))) (log1p (hypot x (sqrt 1.0))) (fma x x 1.0) (log (hypot x (sqrt 1.0))) (exp (hypot x (sqrt 1.0))) (* (cbrt (hypot x (sqrt 1.0))) (cbrt (hypot x (sqrt 1.0)))) (cbrt (hypot x (sqrt 1.0))) (pow (hypot x (sqrt 1.0)) 3) (sqrt (hypot x (sqrt 1.0))) (sqrt (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 1.0) (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 (/ 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)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma 1/2 (/ 1.0 x) x)) (- (- (/ (* (* 1.0 1.0) 1/8) (pow x 3)) x) (/ 1.0 (/ x 1/2))) 1.867 * * * [progress]: adding candidates to table 1.985 * * [progress]: iteration 4 / 4 1.986 * * * [progress]: picking best candidate 1.992 * * * * [pick]: Picked # 1.992 * * * [progress]: localizing error 2.001 * * * [progress]: generating rewritten candidates 2.001 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.004 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.008 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.011 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.016 * * * [progress]: generating series expansions 2.016 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.017 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.017 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.017 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.017 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.017 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.017 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.017 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.017 * [taylor]: Taking taylor expansion of (* x x) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.017 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.017 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.017 * [taylor]: Taking taylor expansion of 1.0 in x 2.018 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.018 * [taylor]: Taking taylor expansion of 1.0 in x 2.027 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.027 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.027 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.027 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.027 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.027 * [taylor]: Taking taylor expansion of (* x x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.027 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.027 * [taylor]: Taking taylor expansion of 1.0 in x 2.028 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.028 * [taylor]: Taking taylor expansion of 1.0 in x 2.145 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.145 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.145 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.145 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.145 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.145 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.145 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.145 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.145 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.145 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.145 * [taylor]: Taking taylor expansion of 1.0 in x 2.146 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.146 * [taylor]: Taking taylor expansion of 1.0 in x 2.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.149 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.151 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.151 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.151 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.152 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.152 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.152 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.152 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.152 * [taylor]: Taking taylor expansion of 1.0 in x 2.153 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.153 * [taylor]: Taking taylor expansion of 1.0 in x 2.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.197 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.197 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.197 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.197 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.197 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.197 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.197 * [taylor]: Taking taylor expansion of -1 in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.197 * [taylor]: Taking taylor expansion of -1 in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.198 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.198 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.198 * [taylor]: Taking taylor expansion of 1.0 in x 2.198 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.198 * [taylor]: Taking taylor expansion of 1.0 in x 2.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.202 * [taylor]: Taking taylor expansion of x in x 2.222 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.222 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.222 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.222 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.222 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.222 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.223 * [taylor]: Taking taylor expansion of -1 in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.223 * [taylor]: Taking taylor expansion of -1 in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.223 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.223 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.224 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.224 * [taylor]: Taking taylor expansion of 1.0 in x 2.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.228 * [taylor]: Taking taylor expansion of x in x 2.325 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.325 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.325 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.325 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.326 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.326 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.326 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.326 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.326 * [taylor]: Taking taylor expansion of (* x x) in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.326 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.326 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.326 * [taylor]: Taking taylor expansion of 1.0 in x 2.326 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.327 * [taylor]: Taking taylor expansion of 1.0 in x 2.335 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.335 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.335 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.336 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.336 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.336 * [taylor]: Taking taylor expansion of (* x x) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.336 * [taylor]: Taking taylor expansion of 1.0 in x 2.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.336 * [taylor]: Taking taylor expansion of 1.0 in x 2.450 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.450 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.450 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.450 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.450 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.451 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.451 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.451 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.451 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.452 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.452 * [taylor]: Taking taylor expansion of 1.0 in x 2.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.462 * [taylor]: Taking taylor expansion of x in x 2.464 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.464 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.464 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.464 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.464 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.464 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.464 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.465 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.465 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.465 * [taylor]: Taking taylor expansion of 1.0 in x 2.465 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.465 * [taylor]: Taking taylor expansion of 1.0 in x 2.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.508 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.508 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.508 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.508 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.508 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.509 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.509 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.509 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.509 * [taylor]: Taking taylor expansion of -1 in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.509 * [taylor]: Taking taylor expansion of -1 in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.509 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.509 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.510 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.510 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.527 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.527 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.527 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.527 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.527 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.527 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.527 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.527 * [taylor]: Taking taylor expansion of -1 in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.528 * [taylor]: Taking taylor expansion of -1 in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.528 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.528 * [taylor]: Taking taylor expansion of 1.0 in x 2.529 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.529 * [taylor]: Taking taylor expansion of 1.0 in x 2.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.532 * [taylor]: Taking taylor expansion of x in x 2.636 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.636 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.636 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.636 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.636 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.636 * [taylor]: Taking taylor expansion of (* x x) in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of x in x 2.636 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.636 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.637 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.643 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.643 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.643 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.643 * [taylor]: Taking taylor expansion of (* x x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.643 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.644 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.644 * [taylor]: Taking taylor expansion of 1.0 in x 2.657 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.657 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.657 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.658 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.658 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.658 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.658 * [taylor]: Taking taylor expansion of x in x 2.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.658 * [taylor]: Taking taylor expansion of x in x 2.658 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.658 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.658 * [taylor]: Taking taylor expansion of 1.0 in x 2.659 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.659 * [taylor]: Taking taylor expansion of 1.0 in x 2.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.663 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.663 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.663 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.663 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.663 * [taylor]: Taking taylor expansion of 1.0 in x 2.664 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.664 * [taylor]: Taking taylor expansion of 1.0 in x 2.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.667 * [taylor]: Taking taylor expansion of x in x 2.696 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.696 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.696 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.696 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.696 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.696 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.696 * [taylor]: Taking taylor expansion of -1 in x 2.696 * [taylor]: Taking taylor expansion of x in x 2.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.697 * [taylor]: Taking taylor expansion of -1 in x 2.697 * [taylor]: Taking taylor expansion of x in x 2.697 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.697 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.697 * [taylor]: Taking taylor expansion of 1.0 in x 2.698 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.698 * [taylor]: Taking taylor expansion of 1.0 in x 2.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.701 * [taylor]: Taking taylor expansion of x in x 2.701 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.701 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.702 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.702 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.702 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.702 * [taylor]: Taking taylor expansion of -1 in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.702 * [taylor]: Taking taylor expansion of -1 in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.702 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.702 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.702 * [taylor]: Taking taylor expansion of 1.0 in x 2.703 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.703 * [taylor]: Taking taylor expansion of 1.0 in x 2.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.706 * [taylor]: Taking taylor expansion of x in x 2.767 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.768 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.768 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.768 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.768 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.768 * [taylor]: Taking taylor expansion of (* x x) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.768 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.768 * [taylor]: Taking taylor expansion of 1.0 in x 2.769 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.769 * [taylor]: Taking taylor expansion of 1.0 in x 2.774 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.774 * [taylor]: Taking taylor expansion of x in x 2.774 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.774 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.774 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.774 * [taylor]: Taking taylor expansion of (* x x) in x 2.774 * [taylor]: Taking taylor expansion of x in x 2.774 * [taylor]: Taking taylor expansion of x in x 2.774 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.774 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.774 * [taylor]: Taking taylor expansion of 1.0 in x 2.775 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.775 * [taylor]: Taking taylor expansion of 1.0 in x 2.789 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.789 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.789 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.789 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.790 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.790 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.790 * [taylor]: Taking taylor expansion of 1.0 in x 2.791 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.794 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.794 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.795 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.795 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.795 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.795 * [taylor]: Taking taylor expansion of 1.0 in x 2.796 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.796 * [taylor]: Taking taylor expansion of 1.0 in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.835 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.835 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.835 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.835 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.835 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.835 * [taylor]: Taking taylor expansion of -1 in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.835 * [taylor]: Taking taylor expansion of -1 in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.836 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.836 * [taylor]: Taking taylor expansion of 1.0 in x 2.836 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.836 * [taylor]: Taking taylor expansion of 1.0 in x 2.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.840 * [taylor]: Taking taylor expansion of x in x 2.840 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.840 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.840 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.840 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.840 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.840 * [taylor]: Taking taylor expansion of -1 in x 2.840 * [taylor]: Taking taylor expansion of x in x 2.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.840 * [taylor]: Taking taylor expansion of -1 in x 2.840 * [taylor]: Taking taylor expansion of x in x 2.841 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.841 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.841 * [taylor]: Taking taylor expansion of 1.0 in x 2.841 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.841 * [taylor]: Taking taylor expansion of 1.0 in x 2.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.845 * [taylor]: Taking taylor expansion of x in x 2.906 * * * [progress]: simplifying candidates 2.907 * [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)))) 2.913 * * [simplify]: iteration 0 : 285 enodes (cost 724 ) 2.918 * * [simplify]: iteration 1 : 883 enodes (cost 658 ) 2.934 * * [simplify]: iteration 2 : 3992 enodes (cost 630 ) 3.008 * * [simplify]: iteration 3 : 5001 enodes (cost 624 ) 3.012 * [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)))) 3.012 * * * [progress]: adding candidates to table 3.267 * [progress]: [Phase 3 of 3] Extracting. 3.267 * * [regime]: Finding splitpoints for: (# # # #) 3.268 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.268 * * * * [regimes]: Trying to branch on x from (# # # #) 3.296 * * * [regime]: Found split indices: #