6.142 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.051 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.052 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.053 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.053 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.096 * * * [progress]: generating series expansions 0.096 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.096 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.096 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.133 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.133 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.171 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.226 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.226 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.228 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.275 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.275 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.276 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.278 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.299 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.299 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.299 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.302 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.302 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.327 * * * [progress]: simplifying candidates 0.328 * [simplify]: Simplifying using # : (- (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)))) (* (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)))) (- (/ (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) 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))) 0.334 * * [simplify]: iteration 0 : 329 enodes (cost 589 ) 0.340 * * [simplify]: iteration 1 : 1044 enodes (cost 568 ) 0.361 * * [simplify]: iteration 2 : 5001 enodes (cost 553 ) 0.364 * [simplify]: Simplified to: (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)))) (pow x 1/2)) (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)) (pow x 1/2)) (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)))) (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)))) (- (/ (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) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1.0 x)) (+ (* 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))) 0.365 * * * [progress]: adding candidates to table 0.542 * * [progress]: iteration 2 / 4 0.542 * * * [progress]: picking best candidate 0.544 * * * * [pick]: Picked # 0.544 * * * [progress]: localizing error 0.554 * * * [progress]: generating rewritten candidates 0.554 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.560 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.591 * * * [progress]: generating series expansions 0.591 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.591 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.621 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.631 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.634 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.645 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in (x) around 0 0.645 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 0.645 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.645 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.645 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 0.648 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.648 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.688 * [approximate]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in (x) around 0 0.688 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.688 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.688 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.691 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.691 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.713 * [approximate]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in (x) around 0 0.714 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 0.714 * [taylor]: Taking taylor expansion of -1 in x 0.714 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.714 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.714 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 0.717 * [taylor]: Taking taylor expansion of -1 in x 0.717 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.717 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.717 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.747 * * * [progress]: simplifying candidates 0.748 * [simplify]: Simplifying using # : (* (exp 1.0) (exp (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (exp (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (* (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x)))))) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (- 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x)))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (- (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (- 0 (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (- (log 1) (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (exp (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (* (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* 1 (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* x (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (* 1 (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* x (- 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 (sqrt x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) 1.0) (* (/ 1 x) (sqrt (- 1.0 (* x x)))) (* 1.0 (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* (/ 1 x) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))))) (* (/ 1 x) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (/ 1 x) 1) (* (/ 1 x) 1) (* (cbrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (cbrt 1) (cbrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (cbrt 1) (sqrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (cbrt 1) x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (sqrt 1) (cbrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (sqrt 1) (sqrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ (sqrt 1) x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 (cbrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 (sqrt x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* (/ 1 x) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* 1 (+ 1.0 (sqrt (- 1.0 (* x x))))) (- (+ (sqrt 1.0) 1.0) (+ (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ 1.0 (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- 1.0 (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.754 * * [simplify]: iteration 0 : 425 enodes (cost 503 ) 0.762 * * [simplify]: iteration 1 : 1958 enodes (cost 441 ) 0.792 * * [simplify]: iteration 2 : 5001 enodes (cost 426 ) 0.794 * [simplify]: Simplified to: (exp (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (exp (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow (+ 1.0 (sqrt (- 1.0 (* x x)))) 3) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (- 1.0 (- (pow x 2) (* 1.0 (- 1.0 (sqrt (- 1.0 (* x x))))))) (+ (- (* 1.0 1.0) 1.0) (pow x 2)) (- 1.0 (sqrt (- 1.0 (* x x)))) (+ 1.0 (sqrt (- 1.0 (* x x)))) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (exp (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (pow (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) 3) (pow (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) 3) (* (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))) (cbrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (pow (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) 3) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (* (- (+ (* 1.0 1.0) (- 1.0 (* x x))) (* 1.0 (sqrt (- 1.0 (* x x))))) x) (+ (- (* 1.0 1.0) 1.0) (pow x 2)) (* x (- 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (sqrt (/ 1 x)) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 1/2)) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 1/2)) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 1/2)) (/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 1/2)) (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x) (* (/ 1 x) (* (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))))) (* (/ 1 x) (sqrt (+ 1.0 (sqrt (- 1.0 (* x x)))))) (/ 1 x) (/ 1 x) (* (cbrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (sqrt (/ 1 x)) (+ 1.0 (sqrt (- 1.0 (* x x))))) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) x) (- (/ (* 1.0 1.0) x) (/ (- 1.0 (* x x)) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (- (+ (sqrt 1.0) 1.0) (+ (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (+ 1.0 (* x (sqrt -1))) (/ (/ 0.5 (sqrt -1)) x)) (- (- 1.0 (* x (sqrt -1))) (/ (/ 0.5 (sqrt -1)) 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)) (- (sqrt -1)))) 0.795 * * * [progress]: adding candidates to table 0.937 * [progress]: [Phase 3 of 3] Extracting. 0.937 * * [regime]: Finding splitpoints for: (# #) 0.937 * * * [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) 0.937 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 0.955 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 0.972 * * * * [regimes]: Trying to branch on x from (# #) 0.982 * * * [regime]: Found split indices: #