7.179 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.085 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.090 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.092 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.093 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.094 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.094 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.094 * * [progress]: iteration 1 / 4 0.094 * * * [progress]: picking best candidate 0.096 * * * * [pick]: Picked # 0.096 * * * [progress]: localizing error 0.106 * * * [progress]: generating rewritten candidates 0.106 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.136 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.140 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.146 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.174 * * * [progress]: generating series expansions 0.174 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.174 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.223 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.223 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.226 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.247 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.247 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.250 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.250 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.275 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.275 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.275 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.295 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.317 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.337 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.337 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.337 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.337 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.377 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.416 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.419 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.474 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.474 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.474 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.478 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.478 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.593 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.593 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.593 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.593 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.599 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.599 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.670 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.670 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.670 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.670 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.670 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.673 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.678 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.678 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.678 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.678 * [taylor]: Taking taylor expansion of 1.0 in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.768 * * * [progress]: simplifying candidates 0.770 * [simplify]: Simplifying using # : (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ 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(fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (- (- (- (log (+ (sqrt 1.0) 1.0)) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))) (fma 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0))) (log x))) (* (/ 1/8 (pow (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 4) 1.0))) (+ (/ (- 0.16666666666666666) (* (pow x 3) (pow (sqrt -1) 3))) (fma 1.0 (/ 1 (* x (sqrt -1))) (log (sqrt -1)))) (+ (/ (- 1.0) (* x (sqrt -1))) (fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (log (- (sqrt -1))))) 0.828 * * * [progress]: adding candidates to table 1.162 * * [progress]: iteration 2 / 4 1.162 * * * [progress]: picking best candidate 1.168 * * * * [pick]: Picked # 1.168 * * * [progress]: localizing error 1.182 * * * [progress]: generating rewritten candidates 1.182 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.210 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.381 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2) 1.391 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.425 * * * [progress]: generating series expansions 1.425 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.426 * [approximate]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in (x) around 0 1.426 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.426 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.426 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.427 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.435 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.435 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.435 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.435 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.478 * [approximate]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in (x) around 0 1.479 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.479 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.479 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.479 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.480 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.480 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.480 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.494 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.494 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.494 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.494 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.495 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.561 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in (x) around 0 1.561 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.561 * [taylor]: Taking taylor expansion of -1 in x 1.561 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.561 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.561 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.561 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.574 * [taylor]: Taking taylor expansion of -1 in x 1.574 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.574 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.574 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) 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 (/ 1 x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) 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 1.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.663 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.664 * [approximate]: Taking taylor expansion of (+ (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 1.664 * [taylor]: Taking taylor expansion of (+ (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.664 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.664 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.664 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.664 * [taylor]: Taking taylor expansion of 1.0 in x 1.665 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.665 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.665 * [taylor]: Taking taylor expansion of 1.0 in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.671 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.671 * [taylor]: Taking taylor expansion of 1.0 in x 1.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (+ (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.672 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.672 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.672 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.672 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.672 * [taylor]: Taking taylor expansion of 1.0 in x 1.672 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.672 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.673 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.679 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.727 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in (x) around 0 1.727 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.727 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.727 * [taylor]: Taking taylor expansion of 1.0 in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.727 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.727 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.727 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.727 * [taylor]: Taking taylor expansion of 1.0 in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.728 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.728 * [taylor]: Taking taylor expansion of 1.0 in x 1.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.740 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.741 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.741 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.741 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.741 * [taylor]: Taking taylor expansion of 1.0 in x 1.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.742 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.742 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.742 * [taylor]: Taking taylor expansion of 1.0 in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.778 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))))) in (x) around 0 1.779 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))))) in x 1.779 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.779 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.779 * [taylor]: Taking taylor expansion of 1.0 in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.779 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.779 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.779 * [taylor]: Taking taylor expansion of 1.0 in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.780 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.780 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.780 * [taylor]: Taking taylor expansion of 1.0 in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))))) in x 1.786 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.786 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.786 * [taylor]: Taking taylor expansion of 1.0 in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.786 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.786 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.786 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.786 * [taylor]: Taking taylor expansion of 1.0 in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.787 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.787 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.837 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2) 1.837 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in (x) around 0 1.837 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 1.837 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.837 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.837 * [taylor]: Taking taylor expansion of 1.0 in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 1.841 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.841 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.841 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.860 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 1.860 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.860 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.860 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.860 * [taylor]: Taking taylor expansion of 1.0 in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.863 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.863 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.863 * [taylor]: Taking taylor expansion of 1.0 in x 1.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.881 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.881 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.881 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.881 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.881 * [taylor]: Taking taylor expansion of 1.0 in x 1.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.883 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.883 * [taylor]: Taking taylor expansion of 1.0 in x 1.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.900 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.900 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 1.900 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.900 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.900 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.900 * [taylor]: Taking taylor expansion of 1.0 in x 1.904 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.904 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.904 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.904 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.929 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.929 * [taylor]: Taking taylor expansion of 1.0 in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.931 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.931 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.931 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.948 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 1.948 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.948 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.948 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.950 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.950 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.950 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.950 * [taylor]: Taking taylor expansion of 1.0 in x 1.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.951 * [taylor]: Taking taylor expansion of x in x 1.967 * * * [progress]: simplifying candidates 1.975 * [simplify]: Simplifying using # : (expm1 (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x))))) (log1p (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x))))) (- (log (sqrt (+ (sqrt 1.0) x))) (- (log x) (log (sqrt (- (sqrt 1.0) x))))) (- (log (sqrt (+ (sqrt 1.0) x))) (log (/ x (sqrt (- (sqrt 1.0) x))))) (log (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x))))) (exp (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x))))) (/ (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (/ (* (* x x) x) (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))))) (/ (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (* (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (- (sqrt 1.0) x)))) (/ x (sqrt (- (sqrt 1.0) x))))) (* (cbrt (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x))))) (cbrt (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x)))))) (cbrt (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x))))) (* (* (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x)))) (/ (sqrt (+ 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1/2 (fma 1.0 (/ 1 x) (sqrt -1))) (- (- (* 1.0 (/ 1 x)) (sqrt -1)) (/ (* 1/2 1.0) (* (pow x 2) (sqrt -1)))) (- (sqrt (sqrt 1.0)) (+ (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0))))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) (fma (* 1/2 x) (sqrt (/ 1 (sqrt 1.0))) (- (sqrt (sqrt 1.0)) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) 2.099 * * * [progress]: adding candidates to table 2.845 * [progress]: [Phase 3 of 3] Extracting. 2.848 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x)))))) 2.848 * * [simplify]: iteration 0 : 14 enodes (cost 11 ) 2.849 * * [simplify]: iteration 1 : 14 enodes (cost 11 ) 2.849 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (+ (sqrt 1.0) x)) (/ x (sqrt (- (sqrt 1.0) x)))))) 5.467 * [regime-testing]: End program error score: 0.03612951618952369