11.954 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.048 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.049 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.050 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.052 * * [simplify]: iteration 3 : 18 enodes (cost 13 ) 0.054 * * [simplify]: iteration done : 18 enodes (cost 13 ) 0.054 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.095 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.101 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.126 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.133 * * * [progress]: generating series expansions 0.133 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.134 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.184 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.184 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.187 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.209 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.209 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.209 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.212 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.212 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.241 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.242 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.276 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.320 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.320 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.321 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.372 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.372 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.372 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.376 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.494 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.494 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.494 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.494 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.500 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.500 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.570 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.570 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.570 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.570 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.578 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.578 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.578 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.578 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.665 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.665 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.665 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.665 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.667 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.681 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.681 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.702 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.702 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.702 * [taylor]: Taking taylor expansion of 1.0 in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.705 * [taylor]: Taking taylor expansion of 1.0 in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.727 * * * [progress]: simplifying candidates 0.729 * [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))) 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)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 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1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (expm1 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (/ 1 1)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 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))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x 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)))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 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)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (+ (log (- (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 1 (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.735 * * [simplify]: iteration 0 : 234 enodes (cost 2010 ) 0.782 * * [simplify]: iteration 1 : 535 enodes (cost 1867 ) 0.940 * * [simplify]: iteration 2 : 1584 enodes (cost 1735 ) 1.246 * * [simplify]: iteration done : 5000 enodes (cost 1735 ) 1.247 * [simplify]: Simplified to: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (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))) (pow (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 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(sqrt 1.0) 1.0) 2) 1.0)) 1/8 (log x))))) (+ (log (sqrt -1)) (- (/ 1.0 (* x (sqrt -1))) (/ 0.16666666666666666 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 0.16666666666666666 (* (pow x 3) (pow (sqrt -1) 3))) (- (log (- (sqrt -1))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (fma x (sqrt -1) (/ 0.5 (* x (sqrt -1)))) (/ 0.125 (* (pow x 3) (pow (sqrt -1) 3)))) (- (/ 0.125 (* (pow x 3) (pow (sqrt -1) 3))) (fma x (sqrt -1) (/ 0.5 (* x (sqrt -1))))) 1.248 * * * [progress]: adding candidates to table 1.598 * * [progress]: iteration 2 / 4 1.598 * * * [progress]: picking best candidate 1.603 * * * * [pick]: Picked # 1.603 * * * [progress]: localizing error 1.615 * * * [progress]: generating rewritten candidates 1.615 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.814 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.867 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.919 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.956 * * * [progress]: generating series expansions 1.956 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.957 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 1.957 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.957 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.957 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.957 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.957 * [taylor]: Taking taylor expansion of 1.0 in x 1.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.958 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.959 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.959 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.959 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.959 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.959 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.961 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.961 * [taylor]: Taking taylor expansion of x in x 2.003 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 2.003 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.003 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.003 * [taylor]: Taking taylor expansion of 1.0 in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.006 * [taylor]: Taking taylor expansion of 1.0 in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.006 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.006 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.006 * [taylor]: Taking taylor expansion of 1.0 in x 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.009 * [taylor]: Taking taylor expansion of 1.0 in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.028 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in (x) around 0 2.028 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 2.028 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.028 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.028 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.028 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.028 * [taylor]: Taking taylor expansion of 1.0 in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.035 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.035 * [taylor]: Taking taylor expansion of 1.0 in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 2.048 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.048 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.048 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.048 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.048 * [taylor]: Taking taylor expansion of 1.0 in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.051 * [taylor]: Taking taylor expansion of 1.0 in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.125 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.126 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 2.126 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.126 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.126 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.126 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.126 * [taylor]: Taking taylor expansion of 1.0 in x 2.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.128 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.128 * [taylor]: Taking taylor expansion of 1.0 in x 2.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.128 * [taylor]: Taking taylor expansion of x in x 2.131 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.131 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.131 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.131 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.131 * [taylor]: Taking taylor expansion of 1.0 in x 2.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.131 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.133 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.133 * [taylor]: Taking taylor expansion of 1.0 in x 2.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.207 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 2.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.207 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.207 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.207 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.207 * [taylor]: Taking taylor expansion of 1.0 in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.210 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.210 * [taylor]: Taking taylor expansion of 1.0 in x 2.210 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.220 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.220 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.220 * [taylor]: Taking taylor expansion of 1.0 in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.223 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.257 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 2.257 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.257 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.257 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.257 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.257 * [taylor]: Taking taylor expansion of 1.0 in x 2.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.260 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.260 * [taylor]: Taking taylor expansion of 1.0 in x 2.260 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.273 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.273 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.273 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.274 * [taylor]: Taking taylor expansion of x in x 2.276 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.276 * [taylor]: Taking taylor expansion of 1.0 in x 2.276 * [taylor]: Taking taylor expansion of x in x 2.332 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.332 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 2.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.332 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.332 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.332 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.332 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.332 * [taylor]: Taking taylor expansion of 1.0 in x 2.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.334 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.334 * [taylor]: Taking taylor expansion of 1.0 in x 2.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.334 * [taylor]: Taking taylor expansion of x in x 2.337 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.337 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.337 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.337 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.337 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.337 * [taylor]: Taking taylor expansion of 1.0 in x 2.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.337 * [taylor]: Taking taylor expansion of x in x 2.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.339 * [taylor]: Taking taylor expansion of x in x 2.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.339 * [taylor]: Taking taylor expansion of 1.0 in x 2.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.339 * [taylor]: Taking taylor expansion of x in x 2.414 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 2.415 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.415 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.415 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.415 * [taylor]: Taking taylor expansion of x in x 2.415 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.415 * [taylor]: Taking taylor expansion of 1.0 in x 2.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.415 * [taylor]: Taking taylor expansion of x in x 2.417 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.418 * [taylor]: Taking taylor expansion of 1.0 in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.428 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.428 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.428 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.428 * [taylor]: Taking taylor expansion of x in x 2.428 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.428 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.428 * [taylor]: Taking taylor expansion of 1.0 in x 2.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.428 * [taylor]: Taking taylor expansion of x in x 2.431 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.469 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 2.469 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.469 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.469 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.469 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.469 * [taylor]: Taking taylor expansion of 1.0 in x 2.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.472 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of x in x 2.485 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.485 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.485 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.485 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.485 * [taylor]: Taking taylor expansion of x in x 2.485 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.485 * [taylor]: Taking taylor expansion of 1.0 in x 2.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.485 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.488 * [taylor]: Taking taylor expansion of 1.0 in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.544 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.544 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 2.544 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.544 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.544 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.544 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.546 * [taylor]: Taking taylor expansion of x in x 2.546 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.546 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.546 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.546 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.546 * [taylor]: Taking taylor expansion of x in x 2.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.547 * [taylor]: Taking taylor expansion of x in x 2.548 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.548 * [taylor]: Taking taylor expansion of 1.0 in x 2.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.548 * [taylor]: Taking taylor expansion of x in x 2.590 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 2.590 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.590 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.593 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.596 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.596 * [taylor]: Taking taylor expansion of 1.0 in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.614 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 2.614 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.614 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.614 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.614 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.614 * [taylor]: Taking taylor expansion of x in x 2.617 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.617 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.617 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.617 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.617 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.617 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.620 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.620 * [taylor]: Taking taylor expansion of 1.0 in x 2.620 * [taylor]: Taking taylor expansion of x in x 2.649 * * * [progress]: simplifying candidates 2.652 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log1p (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (/ 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) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ 1 1) (+ (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (exp (* (sqrt (+ (/ 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))) (sqrt (+ (/ 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))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (cbrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 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))) (sqrt (+ (/ 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))))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 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 (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (* x x)) (sqrt (* x x))) (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (* x x)) (sqrt (+ (* (/ 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)))))) (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (* x x)) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))))) (* (sqrt (+ (* (/ 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))))) (sqrt (* x x))) (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)))) (* (sqrt (+ (* (/ 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))))) (sqrt (+ (* (/ 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)))))) (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (+ (* (/ 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))))) (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt 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1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (sqrt (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))) (* (sqrt (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (/ 1 (* (cbrt x) (cbrt x)))) (sqrt (/ 1 (* (cbrt x) (cbrt x))))) (* (sqrt (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (sqrt (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))))) (* (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt x)))) (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* 1 1) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (* (sqrt (sqrt (+ (/ 1.0 x) 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+nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (- +nan.0))))))))))))))))))) (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))) (sqrt (sqrt -1)))) (- (+ (* 0.5 (/ 1 (* x (sqrt (- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (- +nan.0))))))))))))))))))) (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))) (sqrt (sqrt -1)))) (- (+ (* 0.5 (/ 1 (* x (sqrt (- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 2.665 * * [simplify]: iteration 0 : 242 enodes (cost 4691 ) 2.721 * * [simplify]: iteration 1 : 532 enodes (cost 3503 ) 2.856 * * [simplify]: iteration 2 : 1634 enodes (cost 3263 ) 3.210 * * [simplify]: iteration done : 5000 enodes (cost 3253 ) 3.211 * [simplify]: Simplified to: (expm1 (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (log1p (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) 1 1 2 1 1 (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 2 (log (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (log (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (exp (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (pow (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) 3) (* (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))) (pow (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) 3) (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (sqrt (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (* x (+ (sqrt (- 1.0 (* x x))) 1.0)) (pow x 2) (* (sqrt (* x (+ (sqrt (- 1.0 (* x x))) 1.0))) (hypot (pow (/ 1.0 x) 3/2) (pow (/ (sqrt (- 1.0 (* x x))) x) 3/2))) (* (fabs x) (sqrt (fma (/ 1.0 x) (/ 1.0 x) (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)))))) (* (sqrt (* x (+ (sqrt (- 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+nan.0 (* (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow x 2))) (fma (/ 0.125 (pow x 2)) (sqrt (/ -1 (sqrt -1))) (fma (/ (sqrt (/ 1 (sqrt -1))) x) 0.5 (sqrt (sqrt -1)))) (- (- (+ (/ 0.5 (* x (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))) (/ 0.25 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))) (/ 0.125 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (+ (- (/ 1.0 x) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (/ (sqrt 1.0) x)) (+ (+ (sqrt -1) (/ 1.0 x)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (- (/ 1.0 x) (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1))))) 3.213 * * * [progress]: adding candidates to table 3.946 * * [progress]: iteration 3 / 4 3.946 * * * [progress]: picking best candidate 3.950 * * * * [pick]: Picked # 3.950 * * * [progress]: localizing error 3.971 * * * [progress]: generating rewritten candidates 3.971 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.264 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.381 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 4.388 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 4.404 * * * [progress]: generating series expansions 4.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.405 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))))) in (x) around 0 4.405 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))))) in x 4.405 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 4.405 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 4.405 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 4.405 * [taylor]: Taking taylor expansion of 1/4 in x 4.405 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 4.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.405 * [taylor]: Taking taylor expansion of x in x 4.406 * [taylor]: Taking taylor expansion of (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in x 4.406 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.406 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 4.406 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 4.406 * [taylor]: Taking taylor expansion of 1.0 in x 4.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.406 * [taylor]: Taking taylor expansion of x in x 4.408 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 4.408 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 4.408 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.408 * [taylor]: Taking taylor expansion of 1.0 in x 4.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.408 * [taylor]: Taking taylor expansion of x in x 4.408 * [taylor]: Taking taylor expansion of x in x 4.409 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.409 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.410 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.410 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.410 * [taylor]: Taking taylor expansion of 1.0 in x 4.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.410 * [taylor]: Taking taylor expansion of x in x 4.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.411 * [taylor]: Taking taylor expansion of x in x 4.411 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.411 * [taylor]: Taking taylor expansion of 1.0 in x 4.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.411 * [taylor]: Taking taylor expansion of x in x 4.422 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))))) in x 4.422 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 4.423 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 4.423 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 4.423 * [taylor]: Taking taylor expansion of 1/4 in x 4.423 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 4.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.423 * [taylor]: Taking taylor expansion of x in x 4.424 * [taylor]: Taking taylor expansion of (sqrt (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in x 4.424 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 4.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 4.424 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 4.424 * [taylor]: Taking taylor expansion of 1.0 in x 4.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.424 * [taylor]: Taking taylor expansion of x in x 4.431 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 4.431 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 4.431 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.431 * [taylor]: Taking taylor expansion of 1.0 in x 4.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.431 * [taylor]: Taking taylor expansion of x in x 4.431 * [taylor]: Taking taylor expansion of x in x 4.433 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 4.433 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 4.433 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 4.433 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 4.433 * [taylor]: Taking taylor expansion of 1.0 in x 4.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.433 * [taylor]: Taking taylor expansion of x in x 4.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.434 * [taylor]: Taking taylor expansion of x in x 4.435 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 4.435 * [taylor]: Taking taylor expansion of 1.0 in x 4.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.435 * [taylor]: Taking taylor expansion of x in x 4.563 * [approximate]: Taking taylor expansion of (* (pow x 1/4) (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))))) in (x) around 0 4.563 * [taylor]: Taking taylor expansion of (* (pow x 1/4) (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))))) in x 4.563 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 4.563 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 4.563 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 4.563 * [taylor]: Taking taylor expansion of 1/4 in x 4.563 * [taylor]: Taking taylor expansion of (log x) in x 4.563 * [taylor]: Taking taylor expansion of x in x 4.564 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.564 * [taylor]: Taking taylor expansion of (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.564 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 4.564 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 4.564 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 4.564 * [taylor]: Taking taylor expansion of x in x 4.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.564 * [taylor]: Taking taylor expansion of 1.0 in x 4.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.564 * [taylor]: Taking taylor expansion of x in x 4.568 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 4.568 * [taylor]: Taking taylor expansion of 1.0 in x 4.568 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.568 * [taylor]: Taking taylor expansion of x in x 4.569 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.569 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.569 * [taylor]: Taking taylor expansion of x in x 4.569 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.569 * [taylor]: Taking taylor expansion of 1.0 in x 4.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.569 * [taylor]: Taking taylor expansion of x in x 4.572 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.572 * [taylor]: Taking taylor expansion of 1.0 in x 4.572 * [taylor]: Taking taylor expansion of x in x 4.623 * [taylor]: Taking taylor expansion of (* (pow x 1/4) (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))))) in x 4.623 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 4.623 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 4.623 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 4.623 * [taylor]: Taking taylor expansion of 1/4 in x 4.623 * [taylor]: Taking taylor expansion of (log x) in x 4.623 * [taylor]: Taking taylor expansion of x in x 4.624 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.624 * [taylor]: Taking taylor expansion of (* (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.624 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 4.624 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 4.624 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 4.624 * [taylor]: Taking taylor expansion of x in x 4.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.624 * [taylor]: Taking taylor expansion of 1.0 in x 4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.624 * [taylor]: Taking taylor expansion of x in x 4.628 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 4.628 * [taylor]: Taking taylor expansion of 1.0 in x 4.628 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.628 * [taylor]: Taking taylor expansion of x in x 4.629 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.629 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.629 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.629 * [taylor]: Taking taylor expansion of 1.0 in x 4.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.632 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.632 * [taylor]: Taking taylor expansion of 1.0 in x 4.632 * [taylor]: Taking taylor expansion of x in x 4.814 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))))) in (x) around 0 4.814 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))))) in x 4.814 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.814 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.814 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.814 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.814 * [taylor]: Taking taylor expansion of x in x 4.814 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.814 * [taylor]: Taking taylor expansion of 1.0 in x 4.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.814 * [taylor]: Taking taylor expansion of x in x 4.817 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.817 * [taylor]: Taking taylor expansion of 1.0 in x 4.817 * [taylor]: Taking taylor expansion of x in x 4.830 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x)))) in x 4.830 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))) in x 4.830 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 4.830 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 4.830 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.830 * [taylor]: Taking taylor expansion of 1.0 in x 4.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.830 * [taylor]: Taking taylor expansion of x in x 4.833 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 4.833 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.833 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.833 * [taylor]: Taking taylor expansion of -1 in x 4.833 * [taylor]: Taking taylor expansion of x in x 4.835 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 4.835 * [taylor]: Taking taylor expansion of 1.0 in x 4.835 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 4.835 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.835 * [taylor]: Taking taylor expansion of -1 in x 4.835 * [taylor]: Taking taylor expansion of x in x 4.837 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.837 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.837 * [taylor]: Taking taylor expansion of -1 in x 4.837 * [taylor]: Taking taylor expansion of x in x 4.843 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))))) in x 4.843 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 4.843 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 4.843 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 4.843 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 4.843 * [taylor]: Taking taylor expansion of x in x 4.843 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.843 * [taylor]: Taking taylor expansion of 1.0 in x 4.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.843 * [taylor]: Taking taylor expansion of x in x 4.851 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 4.851 * [taylor]: Taking taylor expansion of 1.0 in x 4.851 * [taylor]: Taking taylor expansion of x in x 4.864 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x)))) in x 4.864 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))) in x 4.864 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 4.865 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 4.865 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 4.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 4.865 * [taylor]: Taking taylor expansion of 1.0 in x 4.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.865 * [taylor]: Taking taylor expansion of x in x 4.867 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 4.867 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.867 * [taylor]: Taking taylor expansion of -1 in x 4.868 * [taylor]: Taking taylor expansion of x in x 4.869 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 4.869 * [taylor]: Taking taylor expansion of 1.0 in x 4.869 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 4.869 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.869 * [taylor]: Taking taylor expansion of -1 in x 4.869 * [taylor]: Taking taylor expansion of x in x 4.871 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.871 * [taylor]: Taking taylor expansion of -1 in x 4.871 * [taylor]: Taking taylor expansion of x in x 5.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.278 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in (x) around 0 5.279 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in x 5.279 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 5.279 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 5.279 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 5.279 * [taylor]: Taking taylor expansion of 1/4 in x 5.280 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.280 * [taylor]: Taking taylor expansion of x in x 5.281 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 5.281 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 5.281 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 5.281 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 5.281 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.281 * [taylor]: Taking taylor expansion of 1.0 in x 5.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.281 * [taylor]: Taking taylor expansion of x in x 5.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.284 * [taylor]: Taking taylor expansion of x in x 5.284 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 5.284 * [taylor]: Taking taylor expansion of 1.0 in x 5.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.284 * [taylor]: Taking taylor expansion of x in x 5.290 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))))) in x 5.290 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 5.290 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 5.290 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 5.290 * [taylor]: Taking taylor expansion of 1/4 in x 5.290 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.290 * [taylor]: Taking taylor expansion of x in x 5.292 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 5.292 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 5.292 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 5.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 5.292 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.292 * [taylor]: Taking taylor expansion of 1.0 in x 5.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.292 * [taylor]: Taking taylor expansion of x in x 5.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.294 * [taylor]: Taking taylor expansion of x in x 5.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 5.295 * [taylor]: Taking taylor expansion of 1.0 in x 5.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.295 * [taylor]: Taking taylor expansion of x in x 5.382 * [approximate]: Taking taylor expansion of (* (pow x 1/4) (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 5.382 * [taylor]: Taking taylor expansion of (* (pow x 1/4) (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 5.382 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 5.382 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 5.382 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 5.382 * [taylor]: Taking taylor expansion of 1/4 in x 5.382 * [taylor]: Taking taylor expansion of (log x) in x 5.382 * [taylor]: Taking taylor expansion of x in x 5.383 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.383 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.383 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.383 * [taylor]: Taking taylor expansion of x in x 5.383 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.383 * [taylor]: Taking taylor expansion of 1.0 in x 5.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.383 * [taylor]: Taking taylor expansion of x in x 5.386 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.386 * [taylor]: Taking taylor expansion of 1.0 in x 5.386 * [taylor]: Taking taylor expansion of x in x 5.396 * [taylor]: Taking taylor expansion of (* (pow x 1/4) (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 5.396 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 5.396 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 5.396 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 5.396 * [taylor]: Taking taylor expansion of 1/4 in x 5.396 * [taylor]: Taking taylor expansion of (log x) in x 5.396 * [taylor]: Taking taylor expansion of x in x 5.397 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.397 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.397 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.397 * [taylor]: Taking taylor expansion of x in x 5.397 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.397 * [taylor]: Taking taylor expansion of 1.0 in x 5.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.397 * [taylor]: Taking taylor expansion of x in x 5.400 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.400 * [taylor]: Taking taylor expansion of 1.0 in x 5.400 * [taylor]: Taking taylor expansion of x in x 5.447 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (/ 1 (sqrt (/ -1 x))))) in (x) around 0 5.447 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (/ 1 (sqrt (/ -1 x))))) in x 5.447 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 5.447 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.447 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.447 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.447 * [taylor]: Taking taylor expansion of x in x 5.447 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.447 * [taylor]: Taking taylor expansion of 1.0 in x 5.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.447 * [taylor]: Taking taylor expansion of x in x 5.450 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.450 * [taylor]: Taking taylor expansion of 1.0 in x 5.450 * [taylor]: Taking taylor expansion of x in x 5.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 x)))) in x 5.463 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.463 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.463 * [taylor]: Taking taylor expansion of -1 in x 5.463 * [taylor]: Taking taylor expansion of x in x 5.470 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) (sqrt (/ 1 (sqrt (/ -1 x))))) in x 5.470 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 5.470 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 5.470 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 5.470 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 5.470 * [taylor]: Taking taylor expansion of x in x 5.470 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.470 * [taylor]: Taking taylor expansion of 1.0 in x 5.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.470 * [taylor]: Taking taylor expansion of x in x 5.473 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 5.473 * [taylor]: Taking taylor expansion of 1.0 in x 5.473 * [taylor]: Taking taylor expansion of x in x 5.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 x)))) in x 5.486 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.486 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.486 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.486 * [taylor]: Taking taylor expansion of -1 in x 5.486 * [taylor]: Taking taylor expansion of x in x 5.630 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 5.630 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in (x) around 0 5.630 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 5.630 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 5.630 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.630 * [taylor]: Taking taylor expansion of 1.0 in x 5.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.630 * [taylor]: Taking taylor expansion of x in x 5.630 * [taylor]: Taking taylor expansion of x in x 5.632 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 5.632 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 5.632 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 5.632 * [taylor]: Taking taylor expansion of 1.0 in x 5.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.632 * [taylor]: Taking taylor expansion of x in x 5.632 * [taylor]: Taking taylor expansion of x in x 5.640 * [approximate]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 5.640 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 5.640 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 5.640 * [taylor]: Taking taylor expansion of x in x 5.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.640 * [taylor]: Taking taylor expansion of 1.0 in x 5.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.640 * [taylor]: Taking taylor expansion of x in x 5.644 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 5.644 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 5.644 * [taylor]: Taking taylor expansion of x in x 5.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.644 * [taylor]: Taking taylor expansion of 1.0 in x 5.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.644 * [taylor]: Taking taylor expansion of x in x 5.659 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 5.659 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 5.659 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.659 * [taylor]: Taking taylor expansion of 1.0 in x 5.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.659 * [taylor]: Taking taylor expansion of x in x 5.662 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.662 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.662 * [taylor]: Taking taylor expansion of -1 in x 5.662 * [taylor]: Taking taylor expansion of x in x 5.663 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 5.663 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 5.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 5.663 * [taylor]: Taking taylor expansion of 1.0 in x 5.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.663 * [taylor]: Taking taylor expansion of x in x 5.666 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.666 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.666 * [taylor]: Taking taylor expansion of -1 in x 5.666 * [taylor]: Taking taylor expansion of x in x 5.702 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 5.703 * [approximate]: Taking taylor expansion of (sqrt (/ 1 x)) in (x) around 0 5.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.703 * [taylor]: Taking taylor expansion of x in x 5.704 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.704 * [taylor]: Taking taylor expansion of x in x 5.710 * [approximate]: Taking taylor expansion of (sqrt x) in (x) around 0 5.711 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.711 * [taylor]: Taking taylor expansion of x in x 5.712 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.712 * [taylor]: Taking taylor expansion of x in x 5.717 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in (x) around 0 5.717 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.717 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.717 * [taylor]: Taking taylor expansion of -1 in x 5.717 * [taylor]: Taking taylor expansion of x in x 5.719 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 5.719 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.719 * [taylor]: Taking taylor expansion of -1 in x 5.719 * [taylor]: Taking taylor expansion of x in x 5.730 * * * [progress]: simplifying candidates 5.735 * [simplify]: Simplifying using # : (expm1 (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (log1p (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (/ 1 (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (/ 1 (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (+ (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (/ 1 (sqrt x))))) (log (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (+ (log (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x))))) (log (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (log (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (exp (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (* (* (sqrt (+ (/ 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)))) (* (* (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt x)))) (sqrt (/ 1 (sqrt x))))) (* (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x))))) (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x))))) (* (* (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (cbrt (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (cbrt (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))))) (cbrt (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (/ 1 (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (sqrt (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (sqrt (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt 1)) (sqrt (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x))))))) (* (* (sqrt (* x x)) (sqrt (sqrt x))) (sqrt (* (sqrt x) (sqrt x)))) (* (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt 1)) (sqrt (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3)))) (* (* (sqrt (* x x)) (sqrt (sqrt x))) (sqrt (+ (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (- (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (* (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))))) (* (* (sqrt (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (sqrt 1)) (sqrt (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (sqrt (* x x)) (sqrt (sqrt x))) (sqrt (- (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt 1)) (sqrt (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x))))))) (* (* (sqrt (+ (* (/ 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))))) (sqrt (sqrt x))) (sqrt (* (sqrt x) (sqrt x)))) (* (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt 1)) (sqrt (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3)))) (* (* (sqrt (+ (* (/ 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))))) (sqrt (sqrt x))) (sqrt (+ (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (- (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (* (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))))) (* (* (sqrt (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (sqrt 1)) (sqrt (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (sqrt (+ (* (/ 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))))) (sqrt (sqrt x))) (sqrt (- (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt 1)) (sqrt (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x))))))) (* (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (sqrt x))) (sqrt (* (sqrt x) (sqrt x)))) (* (* (sqrt (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt 1)) (sqrt (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3)))) (* (* (sqrt (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (sqrt x))) 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(sqrt -1)))))) (- (* +nan.0 (/ (* (sqrt (- (sqrt -1))) (pow (sqrt -1) 3)) (pow x 2))) (+ (- (* +nan.0 (/ (sqrt -1) (* (pow x 2) (sqrt (- (sqrt -1)))))) (* +nan.0 (/ (sqrt -1) (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3))))) (+ (- (* +nan.0 (/ -1 (* (pow x 2) (sqrt (- (sqrt -1)))))) (* +nan.0 (/ (sqrt (- (sqrt -1))) (* (pow x 2) (sqrt -1))))) (- (* +nan.0 (/ (sqrt (- (sqrt -1))) (pow x 2))) (* +nan.0 (- (* (/ (sqrt (- (sqrt -1))) (pow x 2)) -1) (/ (* -1 (sqrt (- (sqrt -1)))) x))))))))))) (- (* +nan.0 (/ (* (sqrt (- (sqrt -1))) (sqrt -1)) (pow x 2))))) (+ (- (* +nan.0 (pow (pow x 7) 1/4))) (- (* (* +nan.0 (pow (pow x 7) 1/4)) 1.0) (fma +nan.0 (/ (pow (pow x 7) 1/4) (sqrt 1.0)) (- (- (* +nan.0 (pow (/ 1 x) 1/4)) (+ (- (* +nan.0 (* (pow (/ 1 x) 1/4) (sqrt 1.0))) (* +nan.0 (pow (pow x 3) 1/4))) (fma (* (pow (pow x 7) 1/4) (sqrt 1.0)) +nan.0 (+ (* (- (* +nan.0 (pow (pow x 3) 1/4))) 1.0) (* +nan.0 (- (* (pow (pow x 7) 1/4) (pow (sqrt 1.0) 3)) (* (pow (pow x 3) 1/4) (sqrt 1.0)))))))))))) (fma (* 0.125 (pow (/ 1 (pow x 9)) 1/4)) (sqrt (/ -1 (sqrt -1))) (fma 0.5 (* (pow (/ 1 (pow x 5)) 1/4) (sqrt (/ 1 (sqrt -1)))) (* (pow (/ 1 x) 1/4) (sqrt (sqrt -1))))) (fma (sqrt (- (sqrt -1))) (sqrt +nan.0) (fma 0.5 (/ (sqrt +nan.0) (* x (sqrt (- (sqrt -1))))) (- (fma +nan.0 (/ (sqrt (- (sqrt -1))) (* (sqrt +nan.0) x)) (fma (/ (sqrt +nan.0) (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1)))))) 0.25 (- (* 0.125 (/ (sqrt +nan.0) (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (- (* +nan.0 (/ (sqrt (- (sqrt -1))) (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ (sqrt (- (sqrt -1))) (* (pow (sqrt +nan.0) 3) (pow x 2)))) (/ +nan.0 (* (sqrt +nan.0) (* (pow x 2) (sqrt (- (sqrt -1)))))))))))))) (- (- (* +nan.0 (pow x 2)) (- (* +nan.0 x) +nan.0))) (+ (/ (- +nan.0) (* x x)) (- (/ +nan.0 x) +nan.0)) (+ (- (* +nan.0 (sqrt -1)) (- (/ (/ +nan.0 x) (sqrt -1)) (* (* +nan.0 (sqrt -1)) x))) (- (* +nan.0 (/ (sqrt -1) x)))) (- (- (* +nan.0 (pow x 2)) (- (* +nan.0 x) +nan.0))) (+ (- (/ +nan.0 x) (/ +nan.0 (pow x 3))) (/ (- +nan.0) (* x x))) (+ (/ (- +nan.0) (* x x)) (- (/ +nan.0 x) +nan.0)) 7.578 * * * [progress]: adding candidates to table 8.544 * [progress]: [Phase 3 of 3] Extracting. 8.548 * [simplify]: Simplifying using # : (log (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) 8.548 * * [simplify]: iteration 0 : 20 enodes (cost 36 ) 8.549 * * [simplify]: iteration 1 : 26 enodes (cost 36 ) 8.549 * * [simplify]: iteration done : 26 enodes (cost 36 ) 8.549 * [simplify]: Simplified to: (log (* (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (/ 1 (sqrt x)))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) 10.160 * [regime-testing]: End program error score: 0.03154418403486528