5.296 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.090 * [progress]: [Phase 2 of 3] Improving. 0.090 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.093 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.094 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.096 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.097 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.097 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.109 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.138 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.141 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.147 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.174 * * * [progress]: generating series expansions 0.174 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.174 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.224 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.224 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.227 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.249 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.249 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.249 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.249 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.252 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.252 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.278 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.296 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.317 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.338 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.338 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.338 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.375 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.414 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.414 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.417 * [taylor]: Taking taylor expansion of -1 in x 0.417 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.470 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.470 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.470 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.470 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.470 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.474 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.591 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.591 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.591 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.594 * [taylor]: Taking taylor expansion of 1.0 in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.597 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.597 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.597 * [taylor]: Taking taylor expansion of 1.0 in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.669 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.669 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.669 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.669 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.669 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.669 * [taylor]: Taking taylor expansion of 1.0 in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.677 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.677 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.677 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.677 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.766 * * * [progress]: simplifying candidates 0.768 * [simplify]: Simplifying using # : (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (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)))) (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (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)) (/ 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(sqrt (+ 1.0 (* x x)))) (expm1 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x 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) (* 1.0 (/ 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)))) (- (/ (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))) (- (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))))) 0.775 * * [simplify]: iteration 0 : 537 enodes (cost 1057 ) 0.784 * * [simplify]: iteration 1 : 1923 enodes (cost 1003 ) 0.814 * * [simplify]: iteration 2 : 5001 enodes (cost 992 ) 0.819 * [simplify]: Simplified to: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2) 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(fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (- (- (- (log (+ (sqrt 1.0) 1.0)) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))) (fma 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))) (+ (/ (- 0.16666666666666666) (* (pow x 3) (pow (sqrt -1) 3))) (fma 1.0 (/ 1 (* x (sqrt -1))) (log (sqrt -1)))) (+ (/ (- 1.0) (* x (sqrt -1))) (fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (log (- (sqrt -1))))) 0.820 * * * [progress]: adding candidates to table 1.180 * * [progress]: iteration 2 / 4 1.180 * * * [progress]: picking best candidate 1.182 * * * * [pick]: Picked # 1.182 * * * [progress]: localizing error 1.198 * * * [progress]: generating rewritten candidates 1.198 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.242 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.248 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.255 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.280 * * * [progress]: generating series expansions 1.280 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.281 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 1.281 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.281 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.281 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.283 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.315 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.315 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.361 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 2) in (x) around 0 1.361 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 2) in x 1.361 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.361 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.361 * [taylor]: Taking taylor expansion of -1 in x 1.361 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.361 * [taylor]: Taking taylor expansion of x in x 1.361 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.361 * [taylor]: Taking taylor expansion of 1.0 in x 1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 2) in x 1.373 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.373 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.373 * [taylor]: Taking taylor expansion of -1 in x 1.373 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.532 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.532 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/4) (sqrt (/ 1 x))) in (x) around 0 1.532 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/4) (sqrt (/ 1 x))) in x 1.532 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/4) in x 1.533 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (pow x 2))))) in x 1.533 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (pow x 2)))) in x 1.533 * [taylor]: Taking taylor expansion of 1/4 in x 1.533 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.533 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.533 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/4) (sqrt (/ 1 x))) in x 1.537 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/4) in x 1.537 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (pow x 2))))) in x 1.537 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (pow x 2)))) in x 1.537 * [taylor]: Taking taylor expansion of 1/4 in x 1.537 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.537 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.537 * [taylor]: Taking taylor expansion of 1.0 in x 1.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.581 * [approximate]: Taking taylor expansion of (* (sqrt x) (pow (- 1.0 (/ 1 (pow x 2))) 1/4)) in (x) around 0 1.581 * [taylor]: Taking taylor expansion of (* (sqrt x) (pow (- 1.0 (/ 1 (pow x 2))) 1/4)) in x 1.581 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/4) in x 1.582 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.583 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.583 * [taylor]: Taking taylor expansion of 1/4 in x 1.583 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.583 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (* (sqrt x) (pow (- 1.0 (/ 1 (pow x 2))) 1/4)) in x 1.591 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/4) in x 1.593 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.593 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.593 * [taylor]: Taking taylor expansion of 1/4 in x 1.593 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.628 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 1.628 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.628 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.628 * [taylor]: Taking taylor expansion of -1 in x 1.628 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.628 * [taylor]: Taking taylor expansion of 1.0 in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.640 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.640 * [taylor]: Taking taylor expansion of -1 in x 1.640 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.640 * [taylor]: Taking taylor expansion of 1.0 in x 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.731 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.731 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/4) (sqrt (/ 1 x))) in (x) around 0 1.731 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/4) (sqrt (/ 1 x))) in x 1.731 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/4) in x 1.731 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (pow x 2))))) in x 1.731 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (pow x 2)))) in x 1.731 * [taylor]: Taking taylor expansion of 1/4 in x 1.731 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.731 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.731 * [taylor]: Taking taylor expansion of 1.0 in x 1.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/4) (sqrt (/ 1 x))) in x 1.735 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/4) in x 1.735 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (pow x 2))))) in x 1.735 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (pow x 2)))) in x 1.735 * [taylor]: Taking taylor expansion of 1/4 in x 1.735 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.735 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.735 * [taylor]: Taking taylor expansion of 1.0 in x 1.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.785 * [approximate]: Taking taylor expansion of (* (sqrt x) (pow (- 1.0 (/ 1 (pow x 2))) 1/4)) in (x) around 0 1.785 * [taylor]: Taking taylor expansion of (* (sqrt x) (pow (- 1.0 (/ 1 (pow x 2))) 1/4)) in x 1.785 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.785 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/4) in x 1.786 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.786 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.786 * [taylor]: Taking taylor expansion of 1/4 in x 1.786 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.786 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.786 * [taylor]: Taking taylor expansion of 1.0 in x 1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of (* (sqrt x) (pow (- 1.0 (/ 1 (pow x 2))) 1/4)) in x 1.789 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/4) in x 1.790 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.790 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.790 * [taylor]: Taking taylor expansion of 1/4 in x 1.790 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.790 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.790 * [taylor]: Taking taylor expansion of 1.0 in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.825 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 1.825 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.825 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.825 * [taylor]: Taking taylor expansion of -1 in x 1.825 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.825 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.825 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.825 * [taylor]: Taking taylor expansion of 1.0 in x 1.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.845 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.845 * [taylor]: Taking taylor expansion of -1 in x 1.845 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.845 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.845 * [taylor]: Taking taylor expansion of 1.0 in x 1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.938 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.939 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 1.939 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.939 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.939 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.939 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.940 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.940 * [taylor]: Taking taylor expansion of 1.0 in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.941 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 1.941 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 1.941 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.941 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.941 * [taylor]: Taking taylor expansion of 1.0 in x 1.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.943 * [taylor]: Taking taylor expansion of 1.0 in x 1.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.986 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 1.986 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.986 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.986 * [taylor]: Taking taylor expansion of x in x 1.986 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.986 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.986 * [taylor]: Taking taylor expansion of 1.0 in x 1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.986 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 1.989 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.992 * [taylor]: Taking taylor expansion of 1.0 in x 1.992 * [taylor]: Taking taylor expansion of x in x 2.018 * [approximate]: Taking taylor expansion of (- (pow (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 2) (* 1.0 x)) in (x) around 0 2.018 * [taylor]: Taking taylor expansion of (- (pow (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 2) (* 1.0 x)) in x 2.018 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 2) in x 2.018 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 2.018 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 2.018 * [taylor]: Taking taylor expansion of -1 in x 2.018 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.018 * [taylor]: Taking taylor expansion of x in x 2.018 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.018 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.018 * [taylor]: Taking taylor expansion of 1.0 in x 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.018 * [taylor]: Taking taylor expansion of x in x 2.030 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.030 * [taylor]: Taking taylor expansion of 1.0 in x 2.030 * [taylor]: Taking taylor expansion of x in x 2.030 * [taylor]: Taking taylor expansion of (- (pow (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 2) (* 1.0 x)) in x 2.031 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 2) in x 2.031 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 2.031 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 2.031 * [taylor]: Taking taylor expansion of -1 in x 2.031 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.031 * [taylor]: Taking taylor expansion of 1.0 in x 2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.043 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.043 * [taylor]: Taking taylor expansion of 1.0 in x 2.043 * [taylor]: Taking taylor expansion of x in x 2.082 * * * [progress]: simplifying candidates 2.086 * [simplify]: Simplifying using # : (expm1 (* (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (* (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 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(exp (* 1/4 (- (log -1) (* 2 (log (/ 1 x)))))) x)))) (- (- (fma 0.0625 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (sqrt (- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (* (/ 0.03125 (* (pow x 4) (pow (sqrt (- (sqrt -1))) 3))) -1)) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt (- (sqrt -1))) (sqrt -1)))))) (+ (/ (sqrt 1.0) x) (- (* 1.0 (/ 1 x)) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (fma (/ 1 (* (pow x 2) (sqrt -1))) 0.5 (fma 1.0 (/ 1 x) (sqrt -1))) (fma 1.0 (/ 1 x) (+ (- (sqrt -1)) (/ (- 0.5) (* (pow x 2) (sqrt -1))))) 2.199 * * * [progress]: adding candidates to table 2.862 * [progress]: [Phase 3 of 3] Extracting. 2.865 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (* (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x))))) 2.865 * * [simplify]: iteration 0 : 12 enodes (cost 14 ) 2.865 * * [simplify]: iteration 1 : 12 enodes (cost 14 ) 2.866 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (* (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x))))) 5.438 * [regime-testing]: End program error score: 0.05245467714723355