6.827 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.055 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.056 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.057 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.058 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.076 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.095 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.098 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.123 * * * [progress]: generating series expansions 0.123 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.123 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.123 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.125 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.157 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.200 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.200 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.250 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.251 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.253 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.298 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.298 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.301 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.322 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.322 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.322 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.325 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.325 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.354 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.354 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.369 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.390 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.410 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.411 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.411 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.411 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.411 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.415 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.415 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.415 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.415 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.528 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.528 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.528 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.528 * [taylor]: Taking taylor expansion of 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 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.535 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.535 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.535 * [taylor]: Taking taylor expansion of x in x 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 0.538 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.601 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.601 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.601 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.601 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.609 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.609 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.609 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.692 * * * [progress]: simplifying candidates 0.694 * [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 (+ 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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 (* (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)))) (- (/ (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))) (- (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)))) (- (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))))) 0.701 * * [simplify]: iteration 0 : 512 enodes (cost 1017 ) 0.709 * * [simplify]: iteration 1 : 1798 enodes (cost 965 ) 0.737 * * [simplify]: iteration 2 : 5002 enodes (cost 961 ) 0.741 * [simplify]: Simplified to: (log (/ (sqrt (- 1.0 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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))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- (- (- (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 (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 4) 1.0))) (- (+ (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))))) 0.742 * * * [progress]: adding candidates to table 1.026 * * [progress]: iteration 2 / 4 1.026 * * * [progress]: picking best candidate 1.028 * * * * [pick]: Picked # 1.028 * * * [progress]: localizing error 1.041 * * * [progress]: generating rewritten candidates 1.041 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.100 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.107 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.112 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.125 * * * [progress]: generating series expansions 1.125 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.125 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in (x) around 0 1.125 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 1.125 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 1.127 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.128 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.128 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 1.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 1.131 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.131 * [taylor]: Taking taylor expansion of 1.0 in x 1.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.133 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.183 * [approximate]: Taking taylor expansion of (* (sqrt x) (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in (x) around 0 1.183 * [taylor]: Taking taylor expansion of (* (sqrt x) (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 1.183 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 1.184 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.184 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (* (sqrt x) (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 1.189 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 1.191 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.191 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.191 * [taylor]: Taking taylor expansion of 1.0 in x 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.240 * [approximate]: Taking taylor expansion of (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))) in (x) around 0 1.241 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))) in x 1.241 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 1.241 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.241 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.244 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.244 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.244 * [taylor]: Taking taylor expansion of -1 in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.246 * [taylor]: Taking taylor expansion of -1 in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.247 * [taylor]: Taking taylor expansion of -1 in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (/ (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) (sqrt (/ -1 x))) in x 1.251 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 1.251 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.251 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.254 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.254 * [taylor]: Taking taylor expansion of -1 in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.256 * [taylor]: Taking taylor expansion of -1 in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.257 * [taylor]: Taking taylor expansion of -1 in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.327 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.327 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.327 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.327 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.329 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.337 * [approximate]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.337 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.337 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.341 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.355 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 1.355 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.355 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.355 * [taylor]: Taking taylor expansion of 1.0 in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.358 * [taylor]: Taking taylor expansion of -1 in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.359 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.359 * [taylor]: Taking taylor expansion of 1.0 in x 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.362 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.362 * [taylor]: Taking taylor expansion of -1 in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.394 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.394 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 1.394 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.407 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 1.407 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.407 * [taylor]: Taking taylor expansion of 1.0 in x 1.407 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.418 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 1.418 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.418 * [taylor]: Taking taylor expansion of -1 in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.420 * [taylor]: Taking taylor expansion of -1 in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.432 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.432 * [approximate]: Taking taylor expansion of (sqrt (/ 1 x)) in (x) around 0 1.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.433 * [taylor]: Taking taylor expansion of x in x 1.439 * [approximate]: Taking taylor expansion of (sqrt x) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.446 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in (x) around 0 1.446 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.446 * [taylor]: Taking taylor expansion of -1 in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.447 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.447 * [taylor]: Taking taylor expansion of -1 in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.459 * * * [progress]: simplifying candidates 1.462 * [simplify]: Simplifying using # : (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (+ (- (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (- 0 (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (+ (- (log 1) (log (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 x))))) (log (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (exp (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (* (* 1 1) 1) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (* (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (* (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/ 1 (sqrt x))) (* (* (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (cbrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (cbrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (cbrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (* (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (sqrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (sqrt (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* 1 (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x)))))) (* (sqrt x) (* (sqrt x) (sqrt x))) (* 1 (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3))) (* (sqrt x) (+ (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (- (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (* (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* 1 (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (sqrt x) (- (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (sqrt (/ 1 (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ (sqrt 1) (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt (sqrt x))) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (* (/ 1.0 (sqrt x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt x)) (* (cbrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (cbrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))) (* (/ 1 (sqrt x)) (sqrt (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* (/ 1 (sqrt x)) 1) (* (/ 1 (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (* (cbrt x) (cbrt x))))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ 1 (sqrt 1))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x)))) (* (/ 1 (sqrt x)) (/ 1 1)) (* (/ 1 (sqrt x)) 1) (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (cbrt (/ 1 (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (sqrt (/ 1 (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (cbrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (cbrt 1) (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (cbrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ (sqrt 1) (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (cbrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt (sqrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (* (/ 1 (sqrt x)) (+ (* 1.0 (sqrt x)) (* (sqrt x) (sqrt (- 1.0 (* x x)))))) (* (/ 1 (sqrt x)) (+ (pow (/ 1.0 (sqrt x)) 3) (pow (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 3))) (* (/ 1 (sqrt x)) (- (* (/ 1.0 (sqrt x)) (/ 1.0 (sqrt x))) (* (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) (* 1 (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (- (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))) (- (sqrt (- 1.0 (* x x)))) (- (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 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-1))) (- (+ (* +nan.0 (/ 1 (* x (sqrt -1)))) (- (* +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))))) (- (+ (* +nan.0 (/ (sqrt -1) x)) (- (+ (* +nan.0 (sqrt -1)) (- (+ (* +nan.0 (/ 1 (* x (sqrt -1)))) (- (* +nan.0 (* x (sqrt -1)))))))))) (- (+ (* +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))))) 1.476 * * [simplify]: iteration 0 : 809 enodes (cost 2152 ) 1.490 * * [simplify]: iteration 1 : 3810 enodes (cost 1930 ) 1.535 * * [simplify]: iteration 2 : 5001 enodes (cost 1871 ) 1.543 * 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1 (sqrt (sqrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1 (cbrt (sqrt x))) (/ 1 (/ (fabs (cbrt x)) 1)) (/ 1 (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt x)) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1 (cbrt (sqrt x))) (/ 1 (/ (fabs (cbrt x)) 1)) (/ 1 (sqrt (cbrt x))) (/ 1 (sqrt (sqrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt x)) (/ 1 (sqrt (sqrt x))) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt x)) (/ 1 (sqrt x)) (sqrt x) (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (/ 1 (/ (fabs (cbrt x)) 1)) (/ 1 (sqrt (sqrt x))) 1 (/ 1 (sqrt (sqrt x))) 1 (sqrt x) (sqrt x) (sqrt x) (+ (- (* +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) (- (* +nan.0 (/ (sqrt -1) x)) (- (* +nan.0 (sqrt -1)) (- (* +nan.0 (* x (sqrt -1))) (- (* +nan.0 (/ 1 (* x (sqrt -1)))) (* +nan.0 (/ 1 x))))))) (+ (- (* +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)))))) (+ (- (* +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) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) 1.544 * * * [progress]: adding candidates to table 2.045 * [progress]: [Phase 3 of 3] Extracting. 2.050 * [simplify]: Simplifying using # : (log (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) 2.050 * * [simplify]: iteration 0 : 17 enodes (cost 12 ) 2.050 * * [simplify]: iteration 1 : 17 enodes (cost 12 ) 2.051 * [simplify]: Simplified to: (log (* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))) 3.533 * [regime-testing]: End program error score: 0.025915640457355577