9.480 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.054 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.055 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.056 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.056 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.075 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.093 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.096 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 0.105 * * * [progress]: generating series expansions 0.105 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.106 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.106 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [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 0.108 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.140 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.179 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.236 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.236 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.287 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.287 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.290 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.312 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.312 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.312 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.315 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.315 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.341 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.341 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.362 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.383 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.404 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 0.404 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.412 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.427 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.448 * * * [progress]: simplifying candidates 0.449 * [simplify]: Simplifying using # : (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (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)))) (/ (exp 1.0) (exp (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (- (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 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)))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) 0.456 * * [simplify]: iteration 0 : 409 enodes (cost 777 ) 0.462 * * [simplify]: iteration 1 : 1409 enodes (cost 748 ) 0.488 * * [simplify]: iteration 2 : 5001 enodes (cost 730 ) 0.492 * [simplify]: Simplified to: (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (/ (fabs (cbrt (- 1.0 (* x x)))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt (- 1.0 (* x x))) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* x (+ (sqrt (- 1.0 (* x x))) 1.0)) (pow x 2) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (- (/ 1.0 (pow x 2)) (+ 1 (* (/ 1.0 x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))))) (+ (- (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 (pow x 2))) 1) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (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)))) (exp (- 1.0 (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (pow (- 1.0 (* x x)) 3) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 (+ (pow x 2) 1.0)) (pow x 4)) (- (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 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))))) (+ (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) (pow x 2))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 4)) (- (/ (/ 0.5 (sqrt -1)) (pow x 2)) (pow (sqrt -1) 3))) (- (+ (/ (sqrt 1.0) x) (/ 1.0 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))))) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) 0.492 * * * [progress]: adding candidates to table 0.957 * * [progress]: iteration 2 / 4 0.957 * * * [progress]: picking best candidate 0.959 * * * * [pick]: Picked # 0.959 * * * [progress]: localizing error 0.971 * * * [progress]: generating rewritten candidates 0.971 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1) 0.982 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.995 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.007 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.024 * * * [progress]: generating series expansions 1.024 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1) 1.024 * [approximate]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in (x) around 0 1.025 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.025 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.025 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.026 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.027 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.056 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.056 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.056 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.056 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.057 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.058 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.058 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.058 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.101 * [approximate]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.101 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.102 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.103 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.104 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.104 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.104 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.139 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.140 * [approximate]: Taking taylor expansion of (+ (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (+ (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.140 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.140 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.140 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.141 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (+ (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.149 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.149 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.149 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.149 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.150 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.208 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in (x) around 0 1.208 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.208 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.208 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.208 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.208 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.209 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.209 * [taylor]: Taking taylor expansion of 1.0 in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.215 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.215 * [taylor]: Taking taylor expansion of 1.0 in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.215 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.215 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.215 * [taylor]: Taking taylor expansion of 1.0 in x 1.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.216 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.216 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.259 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))))) in (x) around 0 1.259 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))))) in x 1.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.259 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.259 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.259 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.259 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.260 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.260 * [taylor]: Taking taylor expansion of 1.0 in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.266 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))))) in x 1.266 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.266 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.266 * [taylor]: Taking taylor expansion of 1.0 in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.266 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.266 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.266 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.266 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.266 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.266 * [taylor]: Taking taylor expansion of 1.0 in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.267 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.267 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.309 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.310 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in (x) around 0 1.310 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.310 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.310 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.311 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.317 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.317 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.318 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.349 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.349 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.349 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.349 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.349 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.349 * [taylor]: Taking taylor expansion of 1.0 in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.350 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.356 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.356 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.395 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.395 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.395 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.395 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.395 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.395 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.396 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.402 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.402 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.402 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.402 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.403 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.446 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.447 * [approximate]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in (x) around 0 1.447 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.447 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.447 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.447 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.448 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.448 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.448 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (/ 1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 1.455 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 1.455 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 1.455 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.498 * [approximate]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in (x) around 0 1.498 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.498 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.498 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.499 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.499 * [taylor]: Taking taylor expansion of 1.0 in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.500 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.500 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.512 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.512 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.512 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.512 * [taylor]: Taking taylor expansion of 1.0 in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.513 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.513 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.513 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.578 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in (x) around 0 1.579 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.579 * [taylor]: Taking taylor expansion of -1 in x 1.579 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.579 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.579 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.579 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.579 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.580 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))))) in x 1.593 * [taylor]: Taking taylor expansion of -1 in x 1.593 * [taylor]: Taking taylor expansion of (* x (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))))) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.593 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 1.593 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.593 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.594 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.594 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.681 * * * [progress]: simplifying candidates 1.683 * [simplify]: Simplifying using # : (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (+ (log (+ (sqrt 1.0) x)) (log (- (sqrt 1.0) x))) (log (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (exp (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (* (* (* (+ (sqrt 1.0) x) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) x)) (* (* (- (sqrt 1.0) x) (- (sqrt 1.0) x)) (- (sqrt 1.0) x))) (* (cbrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (cbrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (cbrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (* (* (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (* (+ (pow (sqrt 1.0) 3) (pow x 3)) (- (pow (sqrt 1.0) 3) (pow x 3))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (* (+ (pow (sqrt 1.0) 3) (pow x 3)) (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x))) (+ (sqrt 1.0) x)) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)) (- (pow (sqrt 1.0) 3) (pow x 3))) (* (- (sqrt 1.0) x) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (* (- (sqrt 1.0) x) (+ (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (+ (sqrt 1.0) x) (sqrt 1.0)) (* (+ (sqrt 1.0) x) (- x)) (* (+ (sqrt 1.0) x) (sqrt 1.0)) (* (+ (sqrt 1.0) x) (- x)) (* (sqrt 1.0) (+ (sqrt 1.0) x)) (* (- x) (+ (sqrt 1.0) x)) (* (sqrt 1.0) (+ (sqrt 1.0) x)) (* (- x) (+ (sqrt 1.0) x)) (* (+ (sqrt 1.0) x) (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) (* (+ (sqrt 1.0) x) (sqrt (- (sqrt 1.0) x))) (* (+ (sqrt 1.0) x) 1) (* (+ (sqrt 1.0) x) (+ (sqrt (sqrt 1.0)) (sqrt x))) (* (+ (sqrt 1.0) x) (+ (sqrt (sqrt 1.0)) (sqrt x))) (* (+ (sqrt 1.0) x) 1) (* (cbrt (+ (sqrt 1.0) x)) (- (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (- (sqrt 1.0) x)) (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (* (+ (sqrt 1.0) x) (- (pow (sqrt 1.0) 3) (pow x 3))) (* (+ (sqrt 1.0) x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (* (+ (pow (sqrt 1.0) 3) (pow x 3)) (- (sqrt 1.0) x)) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)) (- (sqrt 1.0) x)) (* (exp (/ 1.0 x)) (exp (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (+ (* 1.0 x) (* x (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (* (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (- (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (+ 1.0 (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (log (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (exp (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (* (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))))) (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (* (* (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (* (+ (pow (sqrt 1.0) 3) (pow x 3)) (- (pow (sqrt 1.0) 3) (pow x 3)))) (sqrt (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x))))) (sqrt (* (+ (pow (sqrt 1.0) 3) (pow x 3)) (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (sqrt (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x))) (+ (sqrt 1.0) x))) (sqrt (* (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)) (- (pow (sqrt 1.0) 3) (pow x 3)))) (sqrt (* (- (sqrt 1.0) x) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x))))) (sqrt (* (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (sqrt (* (- (sqrt 1.0) x) (+ (sqrt 1.0) x))) (sqrt (* (+ (sqrt 1.0) x) (- (pow (sqrt 1.0) 3) (pow x 3)))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (sqrt (* (+ (sqrt 1.0) x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (sqrt (+ (sqrt 1.0) x)) (sqrt (* (+ (pow (sqrt 1.0) 3) (pow x 3)) (- (sqrt 1.0) x))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (* (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)) (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (sqrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (- (log (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (log x)) (log (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (exp (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (/ (* (* (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (cbrt (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) (cbrt (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (* (* (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (sqrt (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (sqrt (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x)) (- (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (- x) (/ (* (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (cbrt x)) (/ (* (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))))) (sqrt x)) (/ (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (sqrt x)) (/ (* (cbrt (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) 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1/2 (/ (pow (sqrt 1.0) 2) (* (pow x 2) (sqrt -1)))) (sqrt -1))) 1.691 * * [simplify]: iteration 0 : 525 enodes (cost 1271 ) 1.701 * * [simplify]: iteration 1 : 2289 enodes (cost 1196 ) 1.737 * * [simplify]: iteration 2 : 5002 enodes (cost 1192 ) 1.743 * [simplify]: Simplified to: (+ 1.0 (- (pow x 2))) (log (+ 1.0 (- (pow x 2)))) (log (+ 1.0 (- (pow x 2)))) (/ (exp 1.0) (exp (pow x 2))) (pow (+ 1.0 (- (pow x 2))) 3) (* (cbrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (cbrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)))) (cbrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (pow (+ 1.0 (- (pow x 2))) 3) (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) (* (+ (pow (sqrt 1.0) 3) (pow x 3)) (- (pow (sqrt 1.0) 3) (pow x 3))) (* (+ (* x (+ x (sqrt 1.0))) 1.0) (+ (* x (- x (sqrt 1.0))) 1.0)) (* (+ 1.0 (- (pow x 2))) (+ (pow (sqrt 1.0) 3) (pow x 3))) (* (+ (sqrt 1.0) x) (+ (* x (- x (sqrt 1.0))) 1.0)) (* (- (pow (sqrt 1.0) 3) (pow x 3)) (+ 1.0 (- (pow x 2)))) (* (+ (* x (+ x 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(sqrt -1)))) 1.744 * * * [progress]: adding candidates to table 2.124 * [progress]: [Phase 3 of 3] Extracting. 2.126 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) 2.127 * * [simplify]: iteration 0 : 14 enodes (cost 10 ) 2.127 * * [simplify]: iteration 1 : 14 enodes (cost 10 ) 2.127 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x))) x))) 3.612 * [regime-testing]: End program error score: 0.043255406925865734