9.293 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.052 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.054 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.055 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.055 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.096 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.102 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.107 * * * [progress]: generating series expansions 0.107 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.108 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.108 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.160 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.160 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.163 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [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))))) (* 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))))) (* 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 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [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 0.213 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.213 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.252 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.291 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.292 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.294 * [taylor]: Taking taylor expansion of -1 in x 0.294 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.348 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.348 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.363 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.384 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.611 * * * [progress]: simplifying candidates 0.612 * [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)))) 0.618 * * [simplify]: iteration 0 : 394 enodes (cost 713 ) 0.625 * * [simplify]: iteration 1 : 1359 enodes (cost 689 ) 0.651 * * [simplify]: iteration 2 : 5001 enodes (cost 672 ) 0.655 * [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 (+ (sqrt (- 1.0 (* x x))) 1.0)) (pow x 2) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (- (/ 1.0 (pow x 2)) (+ 1 (* (/ 1.0 x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))))) (+ (- (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 (pow x 2))) 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) 1)) (/ (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)))) (* 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)))) (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 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 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 x) (- (/ (/ 0.5 (sqrt -1)) (pow x 2)) (pow (sqrt -1) 3))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) (pow x 2))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 4)) (- (/ (/ 0.5 (sqrt -1)) (pow x 2)) (pow (sqrt -1) 3))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (/ (/ 0.5 (sqrt -1)) x) (- (* x (sqrt -1))))) 0.655 * * * [progress]: adding candidates to table 0.874 * * [progress]: iteration 2 / 4 0.874 * * * [progress]: picking best candidate 0.876 * * * * [pick]: Picked # 0.876 * * * [progress]: localizing error 0.892 * * * [progress]: generating rewritten candidates 0.892 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.933 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.942 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.949 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 0.962 * * * [progress]: generating series expansions 0.962 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.963 * [approximate]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in (x) around 0 0.963 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 0.963 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 0.963 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 0.964 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 0.971 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 0.971 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 0.972 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 1.017 * [approximate]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in (x) around 0 1.017 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.017 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.017 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.017 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.018 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.025 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.025 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.025 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.096 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in (x) around 0 1.096 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.096 * [taylor]: Taking taylor expansion of -1 in x 1.096 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.096 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.096 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.096 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.097 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.104 * [taylor]: Taking taylor expansion of -1 in x 1.104 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.104 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.104 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.104 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.104 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.190 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.191 * [approximate]: Taking taylor expansion of (+ (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 1.191 * [taylor]: Taking taylor expansion of (+ (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.191 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.191 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.191 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.191 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.191 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.192 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (+ (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.199 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.199 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.199 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.199 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.200 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.210 * [taylor]: Taking taylor expansion of 1.0 in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.256 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in (x) around 0 1.256 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.256 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.256 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.257 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.257 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.263 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.264 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.264 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.265 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.303 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))))) in (x) around 0 1.303 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))))) in x 1.303 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.303 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.304 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.304 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.304 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))))) in x 1.311 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.311 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.311 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.311 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.311 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.312 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.312 * [taylor]: Taking taylor expansion of 1.0 in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.353 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.353 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.353 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.353 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.357 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.377 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.377 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.377 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.379 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.379 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.379 * [taylor]: Taking taylor expansion of 1.0 in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.395 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 1.396 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.396 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.396 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.398 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.398 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.422 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 1.423 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in (x) around 0 1.423 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 1.423 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.423 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 1.429 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.429 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.458 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 1.458 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.458 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.481 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.482 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.482 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.484 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.484 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.484 * [taylor]: Taking taylor expansion of 1.0 in x 1.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.500 * * * [progress]: simplifying candidates 1.502 * [simplify]: Simplifying using # : (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) (+ (log (sqrt (+ (sqrt 1.0) x))) (- (log (sqrt (- (sqrt 1.0) x))) (log x))) (+ (log (sqrt (+ (sqrt 1.0) x))) (log (/ (sqrt (- (sqrt 1.0) x)) x))) (log (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (exp (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (* (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (/ (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (* x x) x))) (* (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (* (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (- (sqrt 1.0) x)) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (* (cbrt (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (* (* (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) x) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (- (sqrt 1.0) x)) x) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (/ (sqrt (- (sqrt 1.0) x)) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (/ (sqrt (- (sqrt 1.0) x)) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (/ (sqrt (- (sqrt 1.0) x)) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (/ (sqrt (- (sqrt 1.0) x)) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (* (cbrt (/ (sqrt (- (sqrt 1.0) x)) x)) (cbrt (/ (sqrt (- (sqrt 1.0) x)) x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (/ (sqrt (- (sqrt 1.0) x)) x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x)))) (* (cbrt x) (cbrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (/ (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x)))) (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x)))) 1)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) (* (cbrt x) (cbrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) 1)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (* (cbrt x) (cbrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (sqrt (- (sqrt 1.0) x))) 1)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt 1) 1)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (* (cbrt x) (cbrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) 1)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (* (cbrt x) (cbrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) 1)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt 1) 1)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (* (cbrt x) (cbrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (sqrt (- (sqrt 1.0) x))) 1)) (* (sqrt (+ (sqrt 1.0) x)) (/ 1 (* (cbrt x) (cbrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (/ 1 (sqrt x))) (* (sqrt (+ (sqrt 1.0) x)) (/ 1 1)) (* (sqrt (+ (sqrt 1.0) x)) 1) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (cbrt (+ (sqrt 1.0) x))) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (exp (/ 1.0 x)) (exp (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (log (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (exp (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (* (cbrt (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (cbrt (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))))) (cbrt (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (* (* (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (sqrt (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (sqrt (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (+ (* 1.0 (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) x)) (* x (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (sqrt 1.0) x))))) (* x (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) x)) (+ (* 1.0 (* (sqrt (- (sqrt 1.0) x)) x)) (* x (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (sqrt 1.0) x))))) (* x (* (sqrt (- (sqrt 1.0) x)) x)) (+ (* 1.0 x) (* x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))) (* x x) (+ (* 1.0 (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x))))) (* x (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (/ (sqrt (- (sqrt 1.0) x)) x)))) (* x (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x))))) (+ (* 1.0 (sqrt (- (sqrt 1.0) x))) (* x (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (/ (sqrt (- (sqrt 1.0) x)) x)))) (* x (sqrt (- (sqrt 1.0) x))) (+ (pow (/ 1.0 x) 3) (pow (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (* (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) (- (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (log (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (+ (sqrt 1.0) x))) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (cbrt (sqrt (+ (sqrt 1.0) x)))) (cbrt (sqrt (+ (sqrt 1.0) x))) (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (sqrt (* (cbrt (+ (sqrt 1.0) x)) (cbrt (+ (sqrt 1.0) x)))) (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt 1) (sqrt (+ (sqrt 1.0) x)) (sqrt 1) (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (sqrt 1.0) x)) (/ 1 2) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (log (sqrt (- (sqrt 1.0) x))) (exp (sqrt (- (sqrt 1.0) x))) (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x)))) (cbrt (sqrt (- (sqrt 1.0) x))) (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (sqrt (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt 1) (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt 1) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (+ (sqrt 1.0) x)) (/ 1 2) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ (pow (sqrt 1.0) 4) (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* (pow x 2) (sqrt -1)))) (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))))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (sqrt (sqrt 1.0)) (+ (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 1.510 * * [simplify]: iteration 0 : 585 enodes (cost 1363 ) 1.520 * * [simplify]: iteration 1 : 2360 enodes (cost 1290 ) 1.559 * * [simplify]: iteration 2 : 5001 enodes (cost 1274 ) 1.565 * [simplify]: Simplified to: (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) (log (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (log (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (log (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (exp (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))) (pow (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) 3) (pow (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)) 3) (* (cbrt (* (sqrt (+ 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(/ (* 1/2 1.0) (* (pow x 2) (sqrt -1)))) (- (- (* 1.0 (/ 1 x)) (sqrt -1)) (/ (* 1/2 1.0) (* (pow x 2) (sqrt -1)))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (+ (- (* +nan.0 (/ (sqrt 1.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)) +nan.0)))) (+ (- (* +nan.0 (/ (sqrt 1.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)) +nan.0)))) (- (sqrt (sqrt 1.0)) (+ (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0))))))) (+ (- (* +nan.0 (/ (sqrt 1.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)) +nan.0)))) (+ (- (* +nan.0 (/ (sqrt 1.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)) +nan.0)))) 1.565 * * * [progress]: adding candidates to table 1.895 * [progress]: [Phase 3 of 3] Extracting. 1.898 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) 1.899 * * [simplify]: iteration 0 : 15 enodes (cost 11 ) 1.899 * * [simplify]: iteration 1 : 15 enodes (cost 11 ) 1.899 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))) 3.476 * [regime-testing]: End program error score: 0.04402674396817631