10.682 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.050 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.052 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.053 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.055 * * [simplify]: iteration 3 : 18 enodes (cost 13 ) 0.057 * * [simplify]: iteration done : 18 enodes (cost 13 ) 0.057 * [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 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.098 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.104 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.111 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.111 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.114 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.156 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.156 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.160 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.186 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.186 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.186 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.189 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 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 0.192 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.216 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.216 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.216 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.249 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 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 (* 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 0.296 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.296 * [taylor]: Taking taylor expansion of -1 in x 0.296 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.296 * [taylor]: Taking taylor expansion of x in x 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 (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.299 * [taylor]: Taking taylor expansion of -1 in x 0.299 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.353 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.353 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.368 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.390 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.411 * * * [progress]: simplifying candidates 0.413 * [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))) 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)) (/ (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)))) (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)))) (- (+ (/ (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) 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) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.418 * * [simplify]: iteration 0 : 181 enodes (cost 1437 ) 0.460 * * [simplify]: iteration 1 : 416 enodes (cost 1319 ) 0.566 * * [simplify]: iteration 2 : 1429 enodes (cost 1246 ) 0.927 * * [simplify]: iteration done : 5000 enodes (cost 1246 ) 0.928 * [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))) (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (fma (/ 1.0 x) (/ 1.0 x) (* (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (/ (/ (- 1.0 (pow x 2)) 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))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (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)) (/ (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)))) (* (sqrt (fma (pow x 2) (fma x x 1.0) (* 1.0 1.0))) x) (* (sqrt (fma x x 1.0)) 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)))) (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 6))) (sqrt (fma (pow x 2) (fma x x 1.0) (* 1.0 1.0))) (sqrt (fma 1.0 1.0 (- (pow x 4)))) (sqrt (fma x x 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (+ (- (/ 1.0 x) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (/ (sqrt 1.0) x)) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (+ (/ 1.0 x) (sqrt -1))) (- (- (/ 1.0 x) (/ 0.5 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (- (/ (sqrt 1.0) x) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3))))) (- (- (/ 0.125 (* (pow x 4) (pow (sqrt -1) 3))) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (fma (sqrt -1) x (/ 0.5 (* x (sqrt -1)))) (/ 0.125 (* (pow x 3) (pow (sqrt -1) 3)))) (- (/ 0.125 (* (pow x 3) (pow (sqrt -1) 3))) (fma (sqrt -1) x (/ 0.5 (* x (sqrt -1))))) 0.928 * * * [progress]: adding candidates to table 1.269 * * [progress]: iteration 2 / 4 1.269 * * * [progress]: picking best candidate 1.272 * * * * [pick]: Picked # 1.272 * * * [progress]: localizing error 1.289 * * * [progress]: generating rewritten candidates 1.289 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 1.291 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 1.292 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.313 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.327 * * * [progress]: generating series expansions 1.327 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 1.327 * [approximate]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 1.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 1.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 1.327 * [taylor]: Taking taylor expansion of 1/3 in x 1.327 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.327 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 1.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 1.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 1.330 * [taylor]: Taking taylor expansion of 1/3 in x 1.330 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.330 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.406 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.406 * [taylor]: Taking taylor expansion of 1/3 in x 1.406 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.409 * [taylor]: Taking taylor expansion of 1/3 in x 1.409 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.480 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 1.480 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.480 * [taylor]: Taking taylor expansion of 1/3 in x 1.480 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.480 * [taylor]: Taking taylor expansion of 1.0 in x 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.483 * [taylor]: Taking taylor expansion of 1/3 in x 1.483 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.559 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 1.560 * [approximate]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in (x) around 0 1.560 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 1.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 1.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 1.560 * [taylor]: Taking taylor expansion of 1/3 in x 1.560 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.560 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.560 * [taylor]: Taking taylor expansion of 1.0 in x 1.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 1.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 1.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 1.563 * [taylor]: Taking taylor expansion of 1/3 in x 1.563 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.563 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.634 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 1.634 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.634 * [taylor]: Taking taylor expansion of 1/3 in x 1.634 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.634 * [taylor]: Taking taylor expansion of 1.0 in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.635 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.637 * [taylor]: Taking taylor expansion of 1/3 in x 1.637 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.701 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 1.701 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.701 * [taylor]: Taking taylor expansion of 1/3 in x 1.701 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.701 * [taylor]: Taking taylor expansion of 1.0 in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 1.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.704 * [taylor]: Taking taylor expansion of 1/3 in x 1.704 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.767 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.767 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) in (x) around 0 1.767 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) in x 1.767 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 1.768 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 1.768 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 1.768 * [taylor]: Taking taylor expansion of 1/6 in x 1.768 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.768 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.768 * [taylor]: Taking taylor expansion of 1.0 in x 1.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.770 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x) in x 1.770 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.770 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) in x 1.770 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 1.770 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 1.770 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 1.770 * [taylor]: Taking taylor expansion of 1/6 in x 1.770 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 1.770 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.770 * [taylor]: Taking taylor expansion of 1.0 in x 1.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x) in x 1.773 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.862 * [approximate]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in (x) around 0 1.862 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 1.862 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 1.862 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 1.862 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.863 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.863 * [taylor]: Taking taylor expansion of 1/6 in x 1.863 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.863 * [taylor]: Taking taylor expansion of 1.0 in x 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 1.866 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 1.866 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 1.866 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 1.866 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 1.866 * [taylor]: Taking taylor expansion of 1/6 in x 1.866 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 1.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.866 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.866 * [taylor]: Taking taylor expansion of x in x 2.006 * [approximate]: Taking taylor expansion of (* -1 (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6))) in (x) around 0 2.006 * [taylor]: Taking taylor expansion of (* -1 (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6))) in x 2.006 * [taylor]: Taking taylor expansion of -1 in x 2.006 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 2.006 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 2.006 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 2.006 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 2.006 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 2.007 * [taylor]: Taking taylor expansion of 1/6 in x 2.007 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 2.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.007 * [taylor]: Taking taylor expansion of 1.0 in x 2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.007 * [taylor]: Taking taylor expansion of x in x 2.010 * [taylor]: Taking taylor expansion of (* -1 (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6))) in x 2.011 * [taylor]: Taking taylor expansion of -1 in x 2.011 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 2.011 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.011 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 2.011 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 2.011 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 2.011 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 2.011 * [taylor]: Taking taylor expansion of 1/6 in x 2.011 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 2.011 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.011 * [taylor]: Taking taylor expansion of 1.0 in x 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.131 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.132 * [approximate]: Taking taylor expansion of (+ (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) (* 1.0 (/ 1 x))) in (x) around 0 2.132 * [taylor]: Taking taylor expansion of (+ (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) (* 1.0 (/ 1 x))) in x 2.132 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) in x 2.132 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 2.132 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 2.132 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 2.132 * [taylor]: Taking taylor expansion of 1/6 in x 2.132 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 2.132 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.132 * [taylor]: Taking taylor expansion of 1.0 in x 2.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x) in x 2.134 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.135 * [taylor]: Taking taylor expansion of 1.0 in x 2.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (+ (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) (* 1.0 (/ 1 x))) in x 2.135 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x)) in x 2.135 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 2.135 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 2.135 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 2.135 * [taylor]: Taking taylor expansion of 1/6 in x 2.135 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 2.135 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.135 * [taylor]: Taking taylor expansion of 1.0 in x 2.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (/ (fabs (pow (- 1.0 (pow x 2)) 1/3)) x) in x 2.137 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.138 * [taylor]: Taking taylor expansion of 1.0 in x 2.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.236 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6))) in (x) around 0 2.236 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6))) in x 2.236 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 2.236 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 2.237 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 2.237 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 2.237 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 2.237 * [taylor]: Taking taylor expansion of 1/6 in x 2.237 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 2.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6))) in x 2.239 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.239 * [taylor]: Taking taylor expansion of 1.0 in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 2.239 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 2.240 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 2.240 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 2.240 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 2.240 * [taylor]: Taking taylor expansion of 1/6 in x 2.240 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 2.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.240 * [taylor]: Taking taylor expansion of 1.0 in x 2.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.339 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 x) (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)))) in (x) around 0 2.339 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)))) in x 2.339 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6))) in x 2.339 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.340 * [taylor]: Taking taylor expansion of 1.0 in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 2.340 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 2.340 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 2.340 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 2.340 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 2.340 * [taylor]: Taking taylor expansion of 1/6 in x 2.340 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 2.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.340 * [taylor]: Taking taylor expansion of 1.0 in x 2.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)))) in x 2.343 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6))) in x 2.343 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.343 * [taylor]: Taking taylor expansion of 1.0 in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) (pow (- 1.0 (/ 1 (pow x 2))) 1/6)) in x 2.343 * [taylor]: Taking taylor expansion of (* x (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 2.343 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 2.343 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 2.343 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 2.343 * [taylor]: Taking taylor expansion of 1/6 in x 2.343 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 2.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.343 * [taylor]: Taking taylor expansion of 1.0 in x 2.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.446 * * * [progress]: simplifying candidates 2.448 * [simplify]: Simplifying using # : (expm1 (cbrt (- 1.0 (* x x)))) (log1p (cbrt (- 1.0 (* x x)))) (log (cbrt (- 1.0 (* x x)))) (exp (cbrt (- 1.0 (* x x)))) (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt 1) (cbrt (- 1.0 (* x x))) (cbrt (+ (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)) (cbrt (- (pow 1.0 3) (pow (* x x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (+ 1.0 (* x x))) (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (* (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (expm1 (cbrt (- 1.0 (* x x)))) (log1p (cbrt (- 1.0 (* x x)))) (log (cbrt (- 1.0 (* x x)))) (exp (cbrt (- 1.0 (* x x)))) (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt 1) (cbrt (- 1.0 (* x x))) (cbrt (+ (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)) (cbrt (- (pow 1.0 3) (pow (* x x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (+ 1.0 (* x x))) (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (* (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (expm1 (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (log1p (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)) (+ (log (fabs (cbrt (- 1.0 (* x x))))) (- (log (sqrt (cbrt (- 1.0 (* x x))))) (log x))) (+ (log (fabs (cbrt (- 1.0 (* x x))))) (log (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (log (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (exp (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (* (* (* (fabs (cbrt (- 1.0 (* x x)))) (fabs (cbrt (- 1.0 (* x x))))) (fabs (cbrt (- 1.0 (* x x))))) (/ (* (* (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x))))) (* (* x x) x))) (* (* (* (fabs (cbrt (- 1.0 (* x x)))) (fabs (cbrt (- 1.0 (* x x))))) (fabs (cbrt (- 1.0 (* x x))))) (* (* (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (* (cbrt (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (cbrt (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)))) (cbrt (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (* (* (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (sqrt (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (sqrt (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (/ (sqrt (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (/ (sqrt (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (* (cbrt (/ (sqrt (cbrt (- 1.0 (* x x)))) x)) (cbrt (/ (sqrt (cbrt (- 1.0 (* x x)))) x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (/ (sqrt (cbrt (- 1.0 (* x x)))) x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (* (cbrt (sqrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (* (cbrt (sqrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt (cbrt (- 1.0 (* x x)))))) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (* (cbrt (sqrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt (cbrt (- 1.0 (* x x)))))) 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (sqrt (- 1.0 (* x x))))) 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt 1)) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt 1)) 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (+ (sqrt 1.0) x))) (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (+ (sqrt 1.0) x))) 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x)))))) (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x)))))) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x)))))) 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt 1) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt 1) 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (cbrt (- 1.0 (* x x))))) 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ 1 (* (cbrt x) (cbrt x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ 1 (sqrt x))) (* (fabs (cbrt (- 1.0 (* x x)))) (/ 1 1)) (* (fabs (cbrt (- 1.0 (* x x)))) 1) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (* (cbrt (fabs (cbrt (- 1.0 (* x x))))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (expm1 (+ (/ 1.0 x) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)))) (log1p (+ (/ 1.0 x) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)))) (* (exp (/ 1.0 x)) (exp (* (fabs (cbrt (- 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(cbrt (- 1.0 (* x x))))) (pow x 5)) (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (cbrt (- 1.0 (* x x))))) (pow x 3))))) (- (+ (/ 1.0 x) (* (pow 1.0 1/6) (+ (* 0.013888888888888888 (* (fabs (cbrt (- 1.0 (* x x)))) (pow x 3))) (/ (fabs (cbrt (- 1.0 (* x x)))) x)))) (fma 1/12 (* (* (fabs (cbrt (- 1.0 (* x x)))) (pow x 3)) (pow (/ 1 (pow 1.0 11)) 1/6)) (* (* 0.16666666666666666 (* (fabs (cbrt (- 1.0 (* x x)))) x)) (pow 1.0 1/6)))) (+ (- (/ 1.0 x) (fma 0.06944444444444445 (/ (exp (* (- (log -1) (* 2 (- (log x)))) 1/6)) (/ (pow x 5) (fabs (cbrt (- 1.0 (* x x)))))) (* (/ (exp (* (- (log -1) (* 2 (- (log x)))) 1/6)) (/ (pow x 3) (fabs (cbrt (- 1.0 (* x x)))))) 0.16666666666666666))) (/ (exp (* (- (log -1) (* 2 (- (log x)))) 1/6)) (/ x (fabs (cbrt (- 1.0 (* x x))))))) (- (+ (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (cbrt (- 1.0 (* x x))))) x) (/ 1.0 x)) (fma 0.06944444444444445 (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (cbrt (- 1.0 (* x x))))) (pow x 5)) (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (cbrt (- 1.0 (* x x))))) (pow x 3))))) 3.859 * * * [progress]: adding candidates to table 4.366 * [progress]: [Phase 3 of 3] Extracting. 4.370 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)))) 4.370 * * [simplify]: iteration 0 : 12 enodes (cost 22 ) 4.370 * * [simplify]: iteration 1 : 14 enodes (cost 22 ) 4.371 * * [simplify]: iteration done : 14 enodes (cost 22 ) 4.371 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (* (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x)))) 6.006 * [regime-testing]: End program error score: 0.04507875515698477