8.151 * [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. 0.048 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.048 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.050 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.051 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.052 * * [simplify]: iteration done : 16 enodes (cost 13 ) 0.052 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.091 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.097 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.103 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.103 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.147 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.147 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.150 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.175 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.175 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.175 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.178 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.178 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.203 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.203 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.236 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.278 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.278 * [taylor]: Taking taylor expansion of -1 in x 0.278 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.281 * [taylor]: Taking taylor expansion of -1 in x 0.281 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.332 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.332 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.346 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.367 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.367 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.388 * * * [progress]: simplifying candidates 0.389 * [simplify]: Simplifying using # : (* (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)))) (- (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 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) 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 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 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)))) (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))) (- (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)))) 0.393 * * [simplify]: iteration 0 : 175 enodes (cost 1379 ) 0.428 * * [simplify]: iteration 1 : 392 enodes (cost 1272 ) 0.529 * * [simplify]: iteration 2 : 1090 enodes (cost 1200 ) 1.259 * * [simplify]: iteration 3 : 4074 enodes (cost 1185 ) 2.142 * * [simplify]: iteration done : 5001 enodes (cost 1185 ) 2.142 * [simplify]: Simplified to: (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 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2) (+ (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))) (- (/ 1.0 (* x x)) 1)) (- (/ (* 1.0 1.0) (* x x)) (- (/ 1.0 (* x x)) 1)) (- (/ 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)))) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (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))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (fabs (cbrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (fabs (cbrt (- 1.0 (* x x)))) (/ (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 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) 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 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt (- 1.0 (* x x))) (/ 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)))) (* (sqrt (+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))) x) (* x (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)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (+ (/ 1.0 x) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (+ (sqrt -1) (+ (/ 1.0 x) (/ 0.5 (* (pow x 2) (sqrt -1))))) (- (- (/ 1.0 x) (/ 0.5 (* (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 (* (pow x 2) (sqrt -1))) (/ 0.125 (- (* (pow x 4) (sqrt -1))))) (sqrt -1)) (- (/ 0.125 (- (* (pow x 4) (sqrt -1)))) (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* x (sqrt -1)) (- (/ 0.5 (* x (sqrt -1))) (/ (/ 0.125 (pow x 3)) (- (sqrt -1))))) (- (/ (/ 0.125 (pow x 3)) (- (sqrt -1))) (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) 2.143 * * * [progress]: adding candidates to table 2.355 * * [progress]: iteration 2 / 4 2.356 * * * [progress]: picking best candidate 2.358 * * * * [pick]: Picked # 2.358 * * * [progress]: localizing error 2.375 * * * [progress]: generating rewritten candidates 2.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 2) 2.387 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.409 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.413 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.427 * * * [progress]: generating series expansions 2.427 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 2) 2.427 * [approximate]: Taking taylor expansion of (pow x 4) in (x) around 0 2.428 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.428 * [taylor]: Taking taylor expansion of x in x 2.428 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.428 * [taylor]: Taking taylor expansion of x in x 2.435 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 2.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.435 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.435 * [taylor]: Taking taylor expansion of x in x 2.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.436 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.451 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 2.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.451 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.452 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.452 * [taylor]: Taking taylor expansion of x in x 2.463 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.463 * [approximate]: Taking taylor expansion of (+ (* (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 2.463 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.463 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) (/ 1 x)) in x 2.463 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 2.464 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 2.464 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 2.464 * [taylor]: Taking taylor expansion of 1.0 in x 2.464 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 2.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.464 * [taylor]: Taking taylor expansion of 1.0 in x 2.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.466 * [taylor]: Taking taylor expansion of x in x 2.467 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.467 * [taylor]: Taking taylor expansion of 1.0 in x 2.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.467 * [taylor]: Taking taylor expansion of x in x 2.467 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.467 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) (/ 1 x)) in x 2.467 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 2.467 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 2.467 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 2.467 * [taylor]: Taking taylor expansion of 1.0 in x 2.467 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.467 * [taylor]: Taking taylor expansion of x in x 2.467 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 2.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.467 * [taylor]: Taking taylor expansion of x in x 2.467 * [taylor]: Taking taylor expansion of 1.0 in x 2.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.470 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.470 * [taylor]: Taking taylor expansion of 1.0 in x 2.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.522 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 2.522 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))))) in x 2.522 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.522 * [taylor]: Taking taylor expansion of (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))) in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.522 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 2.522 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 2.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.522 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.523 * [taylor]: Taking taylor expansion of x in x 2.524 * [taylor]: Taking taylor expansion of 1.0 in x 2.528 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))))) in x 2.528 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.528 * [taylor]: Taking taylor expansion of 1.0 in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [taylor]: Taking taylor expansion of (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))) in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 2.528 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 2.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.528 * [taylor]: Taking taylor expansion of 1.0 in x 2.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.528 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.529 * [taylor]: Taking taylor expansion of x in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))))) in (x) around 0 2.560 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))))) in x 2.560 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))))) in x 2.560 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.560 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [taylor]: Taking taylor expansion of x in x 2.560 * [taylor]: Taking taylor expansion of (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))) in x 2.560 * [taylor]: Taking taylor expansion of x in x 2.560 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 2.560 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 2.560 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.561 * [taylor]: Taking taylor expansion of 1.0 in x 2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.561 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.562 * [taylor]: Taking taylor expansion of 1.0 in x 2.566 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))))) in x 2.567 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))))) in x 2.567 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.567 * [taylor]: Taking taylor expansion of 1.0 in x 2.567 * [taylor]: Taking taylor expansion of x in x 2.567 * [taylor]: Taking taylor expansion of (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))) in x 2.567 * [taylor]: Taking taylor expansion of x in x 2.567 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 2.567 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 2.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.567 * [taylor]: Taking taylor expansion of 1.0 in x 2.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.567 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.567 * [taylor]: Taking taylor expansion of x in x 2.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.568 * [taylor]: Taking taylor expansion of x in x 2.568 * [taylor]: Taking taylor expansion of 1.0 in x 2.604 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.605 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in (x) around 0 2.605 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 2.605 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 2.605 * [taylor]: Taking taylor expansion of 1.0 in x 2.605 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.605 * [taylor]: Taking taylor expansion of x in x 2.606 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 2.606 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 2.606 * [taylor]: Taking taylor expansion of 1.0 in x 2.606 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.606 * [taylor]: Taking taylor expansion of x in x 2.629 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 2.630 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 2.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.630 * [taylor]: Taking taylor expansion of 1.0 in x 2.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.630 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.630 * [taylor]: Taking taylor expansion of x in x 2.633 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 2.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.633 * [taylor]: Taking taylor expansion of 1.0 in x 2.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.633 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.633 * [taylor]: Taking taylor expansion of x in x 2.668 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 2.668 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 2.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.668 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.671 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 2.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.671 * [taylor]: Taking taylor expansion of 1.0 in x 2.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.671 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.671 * [taylor]: Taking taylor expansion of x in x 2.708 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.708 * [approximate]: Taking taylor expansion of (* (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) (/ 1 x)) in (x) around 0 2.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) (/ 1 x)) in x 2.709 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 2.709 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 2.709 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 2.709 * [taylor]: Taking taylor expansion of 1.0 in x 2.709 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.709 * [taylor]: Taking taylor expansion of x in x 2.709 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 2.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.709 * [taylor]: Taking taylor expansion of x in x 2.709 * [taylor]: Taking taylor expansion of 1.0 in x 2.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) (/ 1 x)) in x 2.711 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 2.711 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 2.711 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 2.711 * [taylor]: Taking taylor expansion of 1.0 in x 2.711 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 2.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of 1.0 in x 2.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.714 * [taylor]: Taking taylor expansion of x in x 2.752 * [approximate]: Taking taylor expansion of (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 2.752 * [taylor]: Taking taylor expansion of (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))) in x 2.752 * [taylor]: Taking taylor expansion of x in x 2.752 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 2.752 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 2.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.752 * [taylor]: Taking taylor expansion of 1.0 in x 2.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.752 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.752 * [taylor]: Taking taylor expansion of x in x 2.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.753 * [taylor]: Taking taylor expansion of 1.0 in x 2.761 * [taylor]: Taking taylor expansion of (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))) in x 2.761 * [taylor]: Taking taylor expansion of x in x 2.761 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 2.761 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 2.761 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.761 * [taylor]: Taking taylor expansion of 1.0 in x 2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.761 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.761 * [taylor]: Taking taylor expansion of x in x 2.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.762 * [taylor]: Taking taylor expansion of x in x 2.762 * [taylor]: Taking taylor expansion of 1.0 in x 2.814 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 2.814 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))))) in x 2.814 * [taylor]: Taking taylor expansion of -1 in x 2.814 * [taylor]: Taking taylor expansion of (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))) in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.814 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 2.814 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 2.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.814 * [taylor]: Taking taylor expansion of 1.0 in x 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.814 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.815 * [taylor]: Taking taylor expansion of x in x 2.815 * [taylor]: Taking taylor expansion of 1.0 in x 2.820 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))))) in x 2.820 * [taylor]: Taking taylor expansion of -1 in x 2.820 * [taylor]: Taking taylor expansion of (* x (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)))) in x 2.820 * [taylor]: Taking taylor expansion of x in x 2.820 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 2.820 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 2.820 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 2.820 * [taylor]: Taking taylor expansion of 1.0 in x 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.820 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.820 * [taylor]: Taking taylor expansion of x in x 2.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.821 * [taylor]: Taking taylor expansion of x in x 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.887 * * * [progress]: simplifying candidates 2.889 * [simplify]: Simplifying using # : (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (+ 1 1) (+ 1 1) (+ (+ (log x) (log x)) (+ (log x) (log x))) (+ (+ (log x) (log x)) (log (* x x))) (+ (log (* x x)) (+ (log x) (log x))) (+ (log (* x x)) (log (* x x))) (log (* (* x x) (* x x))) (exp (* (* x x) (* x x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* (* x x) (* x x))) (cbrt (* (* x x) (* x x)))) (cbrt (* (* x x) (* x x))) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))) (sqrt (* (* x x) (* x x))) (sqrt (* (* x x) (* x x))) (* x x) (* x x) (* x x) (* x x) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1)) (* (* x x) x) (* x (* x x)) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (log (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (exp (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (* (* (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (+ (* 1.0 (* x (sqrt (+ 1.0 (* x x))))) (* x (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* x (* x (sqrt (+ 1.0 (* x x))))) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (* (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (- (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (log (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (exp (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (* (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt 1) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- (pow (* 1.0 1.0) 3) (pow (* (* x x) (* x x)) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* 1.0 1.0) (* (* x x) (* x x)))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* x x) (* x x)) (* (* x x) (* x x))))) (sqrt (+ (* 1.0 1.0) (* (* x x) (* x x)))) (/ 1 2) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (- (log (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (+ (log x) (log (sqrt (+ 1.0 (* x x)))))) (- (log (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (log (* x (sqrt (+ 1.0 (* x x)))))) (log (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (exp (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (/ (* (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* x x))) (sqrt (+ 1.0 (* x x)))) (sqrt (+ 1.0 (* x x)))))) (/ (* (* (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (* (* x (sqrt (+ 1.0 (* x x)))) (* x (sqrt (+ 1.0 (* x x))))) (* x (sqrt (+ 1.0 (* x x)))))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (* (* (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x)))))) (- (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (- (* x (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) x) (/ (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) x) (/ (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) x) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt 1) x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) x) (/ (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (+ 1.0 (* x x)))) (/ 1 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x)))) (/ 1 (* x (sqrt (+ 1.0 (* x x))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) x) (/ (* x (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ (pow 1.0 3) (pow (* x x) 3))))) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* (* x (sqrt (+ 1.0 (* x x)))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* 1.0 1.0) (* (* x x) (* x x))))))) (* (* x (sqrt (+ 1.0 (* x x)))) (sqrt (+ (* 1.0 1.0) (* (* x x) (* x x))))) (pow x 4) (pow x 4) (pow x 4) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ x (sqrt 1.0))) (* 0.125 (/ (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) (+ (* 1/8 (/ (pow x 8) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 4) (sqrt 1.0))))) (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) (- (/ (sqrt 1.0) x) (+ (* 0.5 (/ x (sqrt 1.0))) (* 0.125 (/ (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))) 2.895 * * [simplify]: iteration 0 : 200 enodes (cost 2466 ) 2.941 * * [simplify]: iteration 1 : 506 enodes (cost 1680 ) 3.072 * * [simplify]: iteration 2 : 1675 enodes (cost 1538 ) 3.456 * * [simplify]: iteration done : 5000 enodes (cost 1538 ) 3.457 * [simplify]: Simplified to: 4 4 4 4 2 2 4 4 4 4 4 4 4 4 2 2 4 4 4 4 (* x x) (* x x) (pow x 4) (pow x 4) (* x x) (* x x) (* x x) (pow x 4) (pow x 4) (* x x) 2 2 (log (pow x 4)) (log (pow x 4)) (log (pow x 4)) (log (pow x 4)) (log (pow x 4)) (exp (pow x 4)) (pow x 12) (pow x 12) (pow x 12) (pow x 12) (* (cbrt (pow x 4)) (cbrt (pow x 4))) (cbrt (pow x 4)) (pow x 12) (fabs (pow x 2)) (fabs (pow x 2)) (* x x) (* x x) (* x x) (* x x) 4 4 2 2 4 4 4 2 2 4 (pow x 3) (pow x 3) (exp (+ (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x))))) (/ 1.0 x))) (log (+ (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x))))) (/ 1.0 x))) (exp (+ (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x))))) (/ 1.0 x))) (* (cbrt (+ (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x))))) (/ 1.0 x))) (cbrt (+ (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x))))) (/ 1.0 x)))) (cbrt (+ (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x))))) (/ 1.0 x))) (pow (+ (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 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x x))))) 3) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x)))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x))))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x)))))) (pow (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x))))) 3) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x)))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (+ 1.0 (* x x)))))) (- (sqrt (- (* 1.0 1.0) (pow x 4)))) (- (* x (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) x) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (fabs (cbrt (- (* 1.0 1.0) (pow x 4)))) x) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) x) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ 1 x) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) x) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ 1 x) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ 1 (* x (sqrt (+ 1.0 (* x x))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) x) (/ (* x (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (cbrt (- (* 1.0 1.0) (pow x 4))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (* x (sqrt (+ 1.0 (* x x)))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* (sqrt (+ (pow x 6) (pow 1.0 3))) x)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* x (sqrt (- (* 1.0 1.0) (pow x 4))))) (* (sqrt (+ (* (pow x 4) (+ (pow x 4) (* 1.0 1.0))) (pow 1.0 4))) (* x (sqrt (+ 1.0 (* x x))))) (* (sqrt (+ (pow x 4) (* 1.0 1.0))) (* x (sqrt (+ 1.0 (* x x))))) (pow x 4) (pow x 4) (pow x 4) (+ (/ 1.0 x) (- (/ (sqrt 1.0) x) (+ (* 0.5 (/ x (sqrt 1.0))) (* 0.125 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (+ (/ 1.0 x) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (sqrt -1))) (- (- (/ 1.0 x) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 8) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 4) (sqrt 1.0))))) (- (+ (* (pow x 2) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 0.125 (* (pow x 6) (pow (sqrt -1) 3)))) (- (+ (* (pow x 2) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 0.125 (* (pow x 6) (pow (sqrt -1) 3)))) (- (/ (sqrt 1.0) x) (+ (* 0.5 (/ x (sqrt 1.0))) (* 0.125 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (sqrt -1)) (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3)))) (- (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3))) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (sqrt -1))) 3.458 * * * [progress]: adding candidates to table 3.734 * [progress]: [Phase 3 of 3] Extracting. 3.737 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) 3.737 * * [simplify]: iteration 0 : 14 enodes (cost 26 ) 3.737 * * [simplify]: iteration 1 : 17 enodes (cost 26 ) 3.738 * * [simplify]: iteration done : 17 enodes (cost 26 ) 3.738 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* x (sqrt (+ 1.0 (* x x))))))) 5.226 * [regime-testing]: End program error score: 0.04427677522208305