10.446 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.049 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.051 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.052 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.052 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.084 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.102 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.107 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.112 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.112 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.112 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.230 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.230 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.230 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.237 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.237 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.306 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.306 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.306 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.306 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.306 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.314 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.314 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.314 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.402 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.403 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.403 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.403 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.403 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.405 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.447 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.447 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.450 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.476 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.476 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.476 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.479 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.479 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.479 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.505 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.505 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.505 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.505 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.519 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) 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 0.522 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.546 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.566 * * * [progress]: simplifying candidates 0.567 * [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)))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (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) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (+ (log (- (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 1 (* x (sqrt -1))))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.573 * * [simplify]: iteration 0 : 421 enodes (cost 620 ) 0.580 * * [simplify]: iteration 1 : 1463 enodes (cost 576 ) 0.605 * * [simplify]: iteration 2 : 5001 enodes (cost 565 ) 0.609 * [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)))) 0 (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)))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0 (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)))) (+ (/ 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)))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (- (log (+ (sqrt 1.0) 1.0)) (+ (/ (* (pow x 2) 1/2) (+ (* (sqrt 1.0) 1.0) 1.0)) (* 1/8 (+ (/ (pow x 4) (* (+ (* (sqrt 1.0) 1.0) 1.0) 1.0)) (/ (/ (pow x 4) (pow (+ (sqrt 1.0) 1.0) 2)) 1.0))))) (log x)) (- (/ 1.0 (* x (sqrt -1))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (log (sqrt -1)))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (- (/ 1.0 (* x (sqrt -1))) (log (- (sqrt -1))))) (- (+ (/ (sqrt 1.0) x) (/ 1.0 x)) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (/ 1.0 x) (- (/ (/ 0.5 (sqrt -1)) (pow x 2)) (pow (sqrt -1) 3))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (/ (/ 0.5 (sqrt -1)) x) (- (* x (sqrt -1))))) 0.609 * * * [progress]: adding candidates to table 0.748 * * [progress]: iteration 2 / 4 0.748 * * * [progress]: picking best candidate 0.750 * * * * [pick]: Picked # 0.750 * * * [progress]: localizing error 0.765 * * * [progress]: generating rewritten candidates 0.765 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.819 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.823 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.827 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.842 * * * [progress]: generating series expansions 0.842 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.843 * [approximate]: Taking taylor expansion of (+ (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt (/ 1 x)))) in (x) around 0 0.843 * [taylor]: Taking taylor expansion of (+ (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt (/ 1 x)))) in x 0.843 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 0.843 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.845 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.845 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.845 * [taylor]: Taking taylor expansion of 1.0 in x 0.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.849 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (+ (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt (/ 1 x)))) in x 0.850 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 0.850 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 0.850 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.850 * [taylor]: Taking taylor expansion of 1.0 in x 0.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.852 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.915 * [approximate]: Taking taylor expansion of (+ (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt x))) in (x) around 0 0.915 * [taylor]: Taking taylor expansion of (+ (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt x))) in x 0.915 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 0.915 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 0.915 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.915 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.922 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (+ (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt x))) in x 0.923 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 0.923 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 0.923 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.923 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.929 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 1.179 * [approximate]: Taking taylor expansion of (+ (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (/ 1 (sqrt (/ -1 x))))) in (x) around 0 1.179 * [taylor]: Taking taylor expansion of (+ (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (/ 1 (sqrt (/ -1 x))))) in x 1.179 * [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 1.179 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 1.179 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.179 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.182 * [taylor]: Taking taylor expansion of -1 in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.183 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 x)))) in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (+ (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (/ 1 (sqrt (/ -1 x))))) in x 1.190 * [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 1.190 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 1.190 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.190 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.190 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.193 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.193 * [taylor]: Taking taylor expansion of -1 in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.195 * [taylor]: Taking taylor expansion of -1 in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 x)))) in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.199 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.199 * [taylor]: Taking taylor expansion of -1 in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.405 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.405 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 1.405 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.418 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 1.418 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.430 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 1.430 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.430 * [taylor]: Taking taylor expansion of -1 in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.431 * [taylor]: Taking taylor expansion of -1 in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.443 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.443 * [approximate]: Taking taylor expansion of (sqrt (/ 1 x)) in (x) around 0 1.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.451 * [approximate]: Taking taylor expansion of (sqrt x) in (x) around 0 1.452 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.458 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in (x) around 0 1.458 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.458 * [taylor]: Taking taylor expansion of -1 in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.460 * [taylor]: Taking taylor expansion of -1 in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.474 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.474 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in (x) around 0 1.474 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.474 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.474 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.476 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.476 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.476 * [taylor]: Taking taylor expansion of 1.0 in x 1.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.484 * [approximate]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.484 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.484 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.484 * [taylor]: Taking taylor expansion of 1.0 in x 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.488 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.502 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 1.502 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.502 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.502 * [taylor]: Taking taylor expansion of 1.0 in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.504 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.505 * [taylor]: Taking taylor expansion of -1 in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.506 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.506 * [taylor]: Taking taylor expansion of 1.0 in x 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.509 * [taylor]: Taking taylor expansion of -1 in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.538 * * * [progress]: simplifying candidates 1.541 * [simplify]: Simplifying using # : (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (exp (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (cbrt (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (cbrt (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))))) (cbrt (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (* (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt 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+nan.0 (/ 1 (* (pow x 2) (sqrt -1)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow +nan.0 2)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (- (* +nan.0 (/ 1 x))))))))))))))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ (sqrt -1) x)) (- (+ (* +nan.0 (sqrt -1)) (- (+ (* +nan.0 (/ 1 (* x (sqrt -1)))) (- (* +nan.0 (* x (sqrt -1)))))))))) 1.556 * * [simplify]: iteration 0 : 787 enodes (cost 2108 ) 1.569 * * [simplify]: iteration 1 : 3009 enodes (cost 1900 ) 1.610 * * [simplify]: iteration 2 : 5002 enodes (cost 1856 ) 1.619 * [simplify]: Simplified to: (/ (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (sqrt x)) (log (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (/ (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (sqrt x)) (* (cbrt (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (cbrt (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))))) (cbrt (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (pow (- (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (sqrt x))) 3) (sqrt (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (sqrt (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (+ (pow (log (/ 1 (sqrt x))) 3) (pow (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 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(/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (pow x 2))) (- (* +nan.0 x) +nan.0)) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (pow x 2))) (- (* +nan.0 x) +nan.0)) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ (sqrt -1) x))) (- (* +nan.0 (sqrt -1)) (- (* +nan.0 (/ 1 (* x (sqrt -1)))) (* +nan.0 (* x (sqrt -1)))))) 1.621 * * * [progress]: adding candidates to table 2.066 * [progress]: [Phase 3 of 3] Extracting. 2.066 * * [regime]: Finding splitpoints for: (# #) 2.066 * * * [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) 2.066 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 2.084 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 2.102 * * * * [regimes]: Trying to branch on x from (# #) 2.113 * * * [regime]: Found split indices: #