6.060 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.147 * * [simplify]: iteration 0 : 4892 enodes (cost 11 ) 0.147 * * [simplify]: iteration 1 : 4892 enodes (cost 11 ) 0.147 * [simplify]: Simplified to: (log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)) 0.151 * * [progress]: iteration 1 / 4 0.151 * * * [progress]: picking best candidate 0.157 * * * * [pick]: Picked # 0.157 * * * [progress]: localizing error 0.166 * * * [progress]: generating rewritten candidates 0.167 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.185 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 0.187 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.195 * * * [progress]: generating series expansions 0.195 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.195 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.196 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.196 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.201 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.201 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.201 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.201 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.201 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.204 * [approximate]: Taking taylor expansion of (log (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (log (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.204 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.204 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.204 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (log (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.204 * [taylor]: Taking taylor expansion of (neg (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.204 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.204 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.207 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 0.207 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.207 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.207 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.208 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.210 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.211 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.215 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.216 * [taylor]: Taking taylor expansion of -1 in x 0.216 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.218 * * * [progress]: simplifying candidates 0.219 * [simplify]: Simplifying using # : (log (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (/ 1 1)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (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)))) (- (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)) (neg (sqrt (- 1.0 (* x x)))) (neg 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) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) (- (+ (log (sqrt (neg 1))) (* 1.0 (/ 1 (* x (sqrt (neg 1)))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (+ (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (log (neg (sqrt (neg 1))))) (* 1.0 (/ 1 (* x (sqrt (neg 1)))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 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 (neg 1))))) (sqrt (neg 1))) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt (neg 1)) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt (neg 1))))) (sqrt (neg 1)))) 0.255 * * [simplify]: iteration 0 : 4981 enodes (cost 1324 ) 0.255 * * [simplify]: iteration 1 : 4981 enodes (cost 1324 ) 0.262 * [simplify]: Simplified to: (* 2 (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (neg (* 2 (log (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (neg (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (* x (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* 2 (log x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (+ (/ 1.0 (* x x)) -1) (* (/ 1.0 x) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (+ (- (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 (* x x))) 1)) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (pow (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 3) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x 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 (+ x (sqrt 1.0))) (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)))) (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)) (neg (sqrt (- 1.0 (* x x)))) (neg x) (* (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (* (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (cbrt (sqrt (- 1.0 (* x 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 (+ x (sqrt 1.0))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ x (sqrt 1.0))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (sqrt (+ x (sqrt 1.0))) (/ (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 (+ (pow x 4) (* 1.0 (+ 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (+ (log (+ 1.0 (sqrt 1.0))) (- (* (/ x (/ (+ 1.0 (* 1.0 (sqrt 1.0))) x)) -1/2) (+ (log x) (* 1/8 (+ (/ (pow x 4) (+ (* 1.0 1.0) (pow (sqrt 1.0) 5))) (/ (pow x 4) (* 1.0 (pow (+ 1.0 (sqrt 1.0)) 2)))))))) (+ (log (sqrt -1)) (- (/ 1.0 (* x (sqrt -1))) (/ 0.16666666666666666 (* (pow x 3) (neg (sqrt -1)))))) (+ (/ 0.16666666666666666 (* (pow x 3) (neg (sqrt -1)))) (- (log (neg (sqrt -1))) (/ 1.0 (* x (sqrt -1))))) (+ (sqrt 1.0) (+ (* (/ x (/ (sqrt 1.0) x)) -1/2) (* (/ x (pow (/ (sqrt 1.0) x) 3)) -1/8))) (+ (* x (sqrt -1)) (- (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (pow x 3) (neg (sqrt -1)))))) (- (/ 0.125 (* (pow x 3) (neg (sqrt -1)))) (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) (+ (/ (sqrt 1.0) x) (+ (* (pow (/ x (sqrt 1.0)) 3) -1/8) (* (/ x (sqrt 1.0)) -1/2))) (+ (sqrt -1) (- (/ 0.5 (* x (* x (sqrt -1)))) (/ 0.125 (* (pow x 4) (neg (sqrt -1)))))) (- (/ 0.125 (* (pow x 4) (neg (sqrt -1)))) (+ (sqrt -1) (/ 0.5 (* x (* x (sqrt -1)))))) 0.263 * * * [progress]: adding candidates to table 0.407 * * [progress]: iteration 2 / 4 0.407 * * * [progress]: picking best candidate 0.410 * * * * [pick]: Picked # 0.410 * * * [progress]: localizing error 0.424 * * * [progress]: generating rewritten candidates 0.424 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.432 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.437 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.490 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.499 * * * [progress]: generating series expansions 0.499 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.499 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [approximate]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.501 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.501 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.503 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.503 * [taylor]: Taking taylor expansion of -1 in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 0.503 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.503 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.503 * [taylor]: Taking taylor expansion of -1 in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.504 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.512 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.512 * [approximate]: Taking taylor expansion of (- (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt x))) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (- (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt x))) in x 0.512 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 0.512 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.512 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (- (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt x))) in x 0.512 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 0.512 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.513 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.520 * [approximate]: Taking taylor expansion of (- (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt (/ 1 x)))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (- (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt (/ 1 x)))) in x 0.520 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 0.520 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.520 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (- (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt (/ 1 x)))) in x 0.521 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 0.521 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.521 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.528 * [approximate]: Taking taylor expansion of (- (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (sqrt (/ -1 x)))) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (- (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (sqrt (/ -1 x)))) in x 0.528 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) in x 0.528 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 0.528 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 0.528 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.529 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.529 * [taylor]: Taking taylor expansion of -1 in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.529 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.529 * [taylor]: Taking taylor expansion of -1 in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.529 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.529 * [taylor]: Taking taylor expansion of -1 in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (- (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (sqrt (/ -1 x)))) in x 0.529 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) in x 0.529 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 0.529 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 0.529 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.529 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.530 * [taylor]: Taking taylor expansion of -1 in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.530 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.530 * [taylor]: Taking taylor expansion of -1 in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.530 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.530 * [taylor]: Taking taylor expansion of -1 in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 0.534 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.534 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.534 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.534 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.535 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.535 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.535 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.537 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.538 * * * [progress]: simplifying candidates 0.541 * [simplify]: Simplifying using # : (- (log (sqrt (- 1.0 (* x x)))) (log (sqrt x))) (log (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (exp (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (* (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (/ (- 1.0 (* x x)) x) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (neg (sqrt (- 1.0 (* x x)))) (neg (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt x))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (* (cbrt x) (cbrt x)))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (cbrt x))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt x))) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt x))) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (sqrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt 1) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (- 1.0 (* x x))) (cbrt (sqrt x))) (/ (sqrt 1) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (* x x))) (sqrt (cbrt x))) (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) (sqrt (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt (sqrt x))) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (- (sqrt 1.0) x)) (sqrt (cbrt x))) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt x))) (/ (sqrt (- (sqrt 1.0) x)) (sqrt (sqrt x))) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt x))) (/ (sqrt (- (sqrt 1.0) x)) (sqrt (sqrt x))) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (- 1.0 (* x x))) (cbrt (sqrt x))) (/ 1 (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (* x x))) (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) (/ 1 (sqrt 1)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt (- 1.0 (* x x))) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt 1)) (/ (sqrt (- 1.0 (* x x))) (sqrt (sqrt x))) (/ (sqrt (- 1.0 (* x x))) 1) (/ (sqrt x) (cbrt (sqrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (cbrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (- 1.0 (* x x)))) (/ (sqrt x) (sqrt (- (sqrt 1.0) x))) (/ (sqrt x) (sqrt (sqrt (- 1.0 (* x x))))) (/ (sqrt x) (sqrt (- 1.0 (* x x)))) (* (sqrt x) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* (sqrt x) (sqrt (+ 1.0 (* x x)))) (- (log 1.0) (log (sqrt x))) (log (/ 1.0 (sqrt x))) (exp (/ 1.0 (sqrt x))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (* (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (/ 1.0 (sqrt x))) (sqrt (/ 1.0 (sqrt x))) (sqrt (/ 1.0 (sqrt x))) (neg 1.0) (neg (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (cbrt 1.0) (cbrt (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (/ (cbrt 1.0) (sqrt (cbrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt x))) (/ (cbrt 1.0) (sqrt (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt x))) (/ (cbrt 1.0) (sqrt (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt x)) (/ (sqrt 1.0) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ (sqrt 1.0) (cbrt (sqrt x))) (/ (sqrt 1.0) (sqrt (* (cbrt x) (cbrt x)))) (/ (sqrt 1.0) (sqrt (cbrt x))) (/ (sqrt 1.0) (sqrt (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt (sqrt x))) (/ (sqrt 1.0) (sqrt (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1.0 (cbrt (sqrt x))) (/ 1 (sqrt (* (cbrt x) (cbrt x)))) (/ 1.0 (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ 1.0 (sqrt (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ 1.0 (sqrt (sqrt x))) (/ 1 1) (/ 1.0 (sqrt x)) (/ 1 (sqrt x)) (/ (sqrt x) 1.0) (/ 1.0 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1.0 (sqrt (* (cbrt x) (cbrt x)))) (/ 1.0 (sqrt (sqrt x))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt x))) (/ 1.0 1) (/ (sqrt x) (cbrt 1.0)) (/ (sqrt x) (sqrt 1.0)) (/ (sqrt x) 1.0) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (exp (neg (log (sqrt x)))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (exp (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (cbrt (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (cbrt (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))))) (cbrt (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (sqrt (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (sqrt (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (+ (pow (neg (log (sqrt x))) 3) (pow (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) 3)) (+ (* (neg (log (sqrt x))) (neg (log (sqrt x)))) (- (* (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))))) (- (* (neg (log (sqrt x))) (neg (log (sqrt x)))) (* (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (- (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (* (cbrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (cbrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))))) (+ (neg (log (sqrt x))) (log (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (+ (neg (log (sqrt x))) (log 1)) (+ (neg (log (sqrt x))) (log (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (+ (neg (log (sqrt x))) (log (/ 1 (sqrt (* (cbrt x) (cbrt x)))))) (+ (neg (log (sqrt x))) (log (/ 1 (sqrt (sqrt x))))) (+ (neg (log (sqrt x))) (log (/ 1 (sqrt (sqrt x))))) (+ (neg (log (sqrt x))) (log (/ 1 (sqrt 1)))) (+ (neg (log (sqrt x))) (log (/ 1 (sqrt (sqrt x))))) (+ (neg (log (sqrt x))) (log (/ 1 (sqrt (sqrt x))))) (+ (neg (log (sqrt x))) (log (/ 1 1))) (+ (neg (log (sqrt x))) (log 1)) (+ (neg (log (sqrt x))) (log (/ 1 (sqrt x)))) (+ (neg (log (cbrt (sqrt x)))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt (cbrt x)))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt (sqrt x)))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt (sqrt x)))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (neg (log (sqrt x))) (log (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x))))))) (+ (neg (log (sqrt x))) (log (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3)))) (+ (neg (log (sqrt x))) (log (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (- (log (sqrt x)) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt 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)))) (+ NAN (+ (* 2 (* (pow x 2) (pow NAN 5))) (+ (* x (pow NAN 3)) (* (pow x 2) NAN)))) (- (+ NAN (+ (/ (pow NAN 3) x) (* 1.0 (/ NAN (pow x 2))))) (* 2 (/ (pow NAN 5) (pow x 2)))) (neg (+ (* 0.5 (/ 1 (* x (* NAN (sqrt (neg 1)))))) (+ (/ (* x (sqrt (neg 1))) NAN) (* NAN (sqrt (neg 1)))))) (+ (* 1.0 NAN) (+ (* 1.0 (* (pow x 2) (pow NAN 5))) (* 1.0 (* x (pow NAN 3))))) (+ (* 1.0 (/ NAN x)) (+ (* 1.0 (/ (pow NAN 5) (pow x 3))) (* 1.0 (/ (pow NAN 3) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 1.0 (/ 1 NAN))) (- (+ (* 0.5 (pow x 2)) (+ (* 2.9999999999999996 (* (pow x 3) (pow NAN 6))) (+ (* 1.0 (* (pow x 3) (pow NAN 2))) (+ (* 0.5 (* (pow x 2) (pow NAN 4))) (log (* 2.0 NAN)))))) (+ (* 2.0 (/ (* (pow x 3) (pow NAN 2)) (pow 2.0 2))) (+ (* 6.0 (/ (* (pow x 3) (pow NAN 6)) (pow 2.0 2))) (+ (log x) (log NAN))))) (- (+ (* 3.0 (/ (pow NAN 4) (pow x 3))) (+ (* 0.5 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) (* 5 (/ (pow NAN 6) (pow x 3)))))) (+ (* 3 (/ (pow NAN 4) (pow x 2))) (+ (* 3.0 (/ (pow NAN 2) (pow x 3))) (* 0.6666666666666666 (/ 1 (pow x 3)))))) (- (+ (log (/ (sqrt (neg 1)) NAN)) (* 2 (/ (pow NAN 2) x))) (+ (log (/ -1 x)) (+ (/ (pow NAN 4) (pow x 2)) (+ (* 1.0 (/ 1 (* x (sqrt (neg 1))))) (log NAN))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) 0.586 * * [simplify]: iteration 0 : 5126 enodes (cost 2609 ) 0.594 * [simplify]: Simplified to: (log (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (log (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (exp (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (cbrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3) (- (/ 1.0 x) x) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (sqrt (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (neg (sqrt (- 1.0 (* x x)))) (neg (sqrt x)) (* (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt x)))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt x))) (* (/ (cbrt (sqrt (- 1.0 (* x x)))) (fabs (cbrt x))) (cbrt (sqrt (- 1.0 (* x x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (cbrt x))) (* (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (cbrt (sqrt (- 1.0 (* x x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt x))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ 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NAN))) (/ 0.6666666666666666 (pow x 3)))))) (+ (log (/ (sqrt -1) NAN)) (- (* 2 (/ NAN (/ x NAN))) (+ (log NAN) (+ (/ 1.0 (* x (sqrt -1))) (+ (/ (pow NAN 4) (* x x)) (log (/ -1 x))))))) (+ (sqrt 1.0) (+ (* (/ x (/ (sqrt 1.0) x)) -1/2) (* (/ (pow x 4) (* 1.0 (sqrt 1.0))) -1/8))) (+ (* x (sqrt -1)) (- (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (sqrt -1) (neg (pow x 3)))))) (- (/ 0.125 (* (sqrt -1) (neg (pow x 3)))) (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) 0.595 * * * [progress]: adding candidates to table 0.832 * [progress]: [Phase 3 of 3] Extracting. 0.832 * * [regime]: Finding splitpoints for: (# #) 0.832 * * * [regime-changes]: Trying 3 branch expressions: ((+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) x) 0.832 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 0.865 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 0.903 * * * * [regimes]: Trying to branch on x from (# #) 0.929 * * * [regime]: Found split indices: #