2.749 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying using # : (log (+ 1.0 x)) 0.052 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.053 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.053 * [simplify]: Simplified to: (log (+ 1.0 x)) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.061 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.061 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.061 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.062 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.105 * * * [progress]: simplifying candidates 0.105 * [simplify]: Simplifying using # : (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log 1) (log (+ 1.0 x)) (log 1) (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (exp (log (+ 1.0 x))) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (* (* (log (+ 1.0 x)) (log (+ 1.0 x))) (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ -1 x)))) 0.109 * * [simplify]: iteration 0 : 131 enodes (cost 99 ) 0.111 * * [simplify]: iteration 1 : 363 enodes (cost 89 ) 0.117 * * [simplify]: iteration 2 : 1292 enodes (cost 86 ) 0.143 * * [simplify]: iteration 3 : 5002 enodes (cost 81 ) 0.144 * [simplify]: Simplified to: (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (* 2 (log (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) 0 (log (+ 1.0 x)) 0 (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (pow (log (+ 1.0 x)) 3) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) 0.144 * * * [progress]: adding candidates to table 0.184 * * [progress]: iteration 2 / 4 0.184 * * * [progress]: picking best candidate 0.193 * * * * [pick]: Picked # 0.193 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3 2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 1 ] generating series at (2 3 2) 0.238 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.238 * [taylor]: Taking taylor expansion of 1/2 in x 0.238 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.239 * [taylor]: Taking taylor expansion of 1/2 in x 0.239 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.254 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.254 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.254 * [taylor]: Taking taylor expansion of 1/2 in x 0.254 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.255 * [taylor]: Taking taylor expansion of 1/2 in x 0.255 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.270 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.270 * [taylor]: Taking taylor expansion of 1/2 in x 0.270 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.272 * [taylor]: Taking taylor expansion of 1/2 in x 0.272 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * * * [progress]: simplifying candidates 0.288 * [simplify]: Simplifying using # : (expm1 (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log1p (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 1/2) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 1/2) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 1/2) (- (log (pow x 2)) (log (pow 1.0 2)))) (+ (log 1/2) (log (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (pow 1.0 2) (pow 1.0 2)) (pow 1.0 2)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (pow 1.0 2)) (/ (pow x 2) (pow 1.0 2))) (/ (pow x 2) (pow 1.0 2)))) (* (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 1/2) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ x 1.0)) (* (sqrt 1/2) (/ x 1.0)) (* (sqrt 1/2) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 1/2) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) 1.0)) (* (sqrt 1/2) (/ (pow x (/ 2 2)) 1.0)) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* 1/2 (* (cbrt (/ (pow x 2) (pow 1.0 2))) (cbrt (/ (pow x 2) (pow 1.0 2))))) (* 1/2 (sqrt (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow 1 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1.0)) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow (sqrt x) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow (sqrt x) 2) (pow 1 2))) (* 1/2 (/ (pow (sqrt x) 2) 1.0)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow 1 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow 1 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow 1 2) (pow 1 2))) (* 1/2 (/ (pow 1 2) 1.0)) (* 1/2 (/ (pow 1 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow 1 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ (pow 1 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ x (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ x (pow (sqrt 1.0) 2))) (* 1/2 (/ x (pow 1 2))) (* 1/2 (/ x 1.0)) (* 1/2 (/ x (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ x (sqrt (pow 1.0 2)))) (* 1/2 (/ x 1)) (* 1/2 (/ x (pow 1.0 (/ 2 2)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (sqrt 1.0) 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow 1 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1.0)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (pow 1.0 2)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (sqrt (pow x 2)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* 1/2 (/ (sqrt (pow x 2)) (pow 1 2))) (* 1/2 (/ (sqrt (pow x 2)) 1.0)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* 1/2 (/ 1 (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow 1 2))) (* 1/2 (/ 1 1.0)) (* 1/2 (/ 1 (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ 1 (sqrt (pow 1.0 2)))) (* 1/2 (/ 1 1)) (* 1/2 (/ 1 (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow x (/ 2 2)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x (/ 2 2)) (pow 1 2))) (* 1/2 (/ (pow x (/ 2 2)) 1.0)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* (sqrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.296 * * [simplify]: iteration 0 : 535 enodes (cost 648 ) 0.305 * * [simplify]: iteration 1 : 2311 enodes (cost 536 ) 0.338 * * [simplify]: iteration 2 : 5001 enodes (cost 535 ) 0.341 * [simplify]: Simplified to: (expm1 (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log1p (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3) (* (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) (fabs 1.0)) (/ (* (sqrt 1/2) (fabs x)) (fabs 1.0)) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (* 1/2 (* (cbrt (/ (pow x 2) (pow 1.0 2))) (cbrt (/ (pow x 2) (pow 1.0 2))))) (* (/ (fabs (/ x 1.0)) 1) 1/2) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) 1.0) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) 1.0) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (/ (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (fabs 1.0)) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) 1.0) (/ (* 1/2 x) (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ (* 1/2 x) 1.0) (* x 1/2) (/ (* 1/2 x) 1.0) (/ (* 1/2 x) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2)))) (/ (* x 1/2) (fabs 1.0)) (* x 1/2) (/ (* 1/2 x) 1.0) (/ 1/2 (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ 1/2 1.0) 1/2 (/ 1/2 1.0) (/ 1/2 (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2)))) (/ 1/2 (sqrt (pow 1.0 2))) 1/2 (/ 1/2 1.0) (/ (* 1/2 x) (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ (* 1/2 x) 1.0) (* x 1/2) (/ (* 1/2 x) 1.0) (/ (* 1/2 x) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2)))) (/ (* x 1/2) (fabs 1.0)) (* x 1/2) (/ (* 1/2 x) 1.0) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) 1.0) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (/ (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) 1.0) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (/ (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (fabs 1.0)) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (/ (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) 1.0) (/ (* 1/2 (fabs x)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ (* 1/2 (fabs x)) 1.0) (/ (fabs x) 2) (/ (* 1/2 (fabs x)) 1.0) (* (/ 1/2 (cbrt (pow 1.0 2))) (/ (fabs x) (cbrt (pow 1.0 2)))) (/ (* 1/2 (fabs x)) (fabs 1.0)) (/ (fabs x) 2) (/ (* 1/2 (fabs x)) 1.0) (/ 1/2 (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ 1/2 1.0) 1/2 (/ 1/2 1.0) (/ 1/2 (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2)))) (/ 1/2 (sqrt (pow 1.0 2))) 1/2 (/ 1/2 1.0) (/ (* 1/2 x) (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ (* 1/2 x) 1.0) (* x 1/2) (/ (* 1/2 x) 1.0) (/ (* 1/2 x) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2)))) (/ (* x 1/2) (fabs 1.0)) (* x 1/2) (/ (* 1/2 x) 1.0) 1/2 (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* (sqrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.342 * * * [progress]: adding candidates to table 0.587 * * [progress]: iteration 3 / 4 0.587 * * * [progress]: picking best candidate 0.593 * * * * [pick]: Picked # 0.593 * * * [progress]: localizing error 0.598 * * * [progress]: generating rewritten candidates 0.598 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.601 * * * [progress]: generating series expansions 0.601 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.601 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.601 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.602 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.614 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.645 * * * [progress]: simplifying candidates 0.646 * [simplify]: Simplifying using # : (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log 1) (log (+ 1.0 x)) (log 1) (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (exp (log (+ 1.0 x))) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (* (* (log (+ 1.0 x)) (log (+ 1.0 x))) (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ -1 x)))) 0.649 * * [simplify]: iteration 0 : 131 enodes (cost 99 ) 0.651 * * [simplify]: iteration 1 : 363 enodes (cost 89 ) 0.658 * * [simplify]: iteration 2 : 1292 enodes (cost 86 ) 0.685 * * [simplify]: iteration 3 : 5002 enodes (cost 81 ) 0.686 * [simplify]: Simplified to: (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (* 2 (log (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) 0 (log (+ 1.0 x)) 0 (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (pow (log (+ 1.0 x)) 3) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) 0.686 * * * [progress]: adding candidates to table 0.721 * * [progress]: iteration 4 / 4 0.721 * * * [progress]: picking best candidate 0.731 * * * * [pick]: Picked # 0.731 * * * [progress]: localizing error 0.737 * * * [progress]: generating rewritten candidates 0.737 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.740 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.743 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.747 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.752 * * * [progress]: generating series expansions 0.752 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.753 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.753 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.755 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.785 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.812 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.812 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.812 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.812 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.835 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.835 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.835 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.835 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.835 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.838 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.838 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.868 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.868 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.895 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.895 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.895 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.895 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of 1.0 in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.917 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.917 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.917 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.919 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.928 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.947 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.947 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.947 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.948 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.966 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.982 * * * [progress]: simplifying candidates 0.983 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (log (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log 1) (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (exp (log (sqrt (+ 1.0 x)))) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (* (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (log (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log 1) (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (exp (log (sqrt (+ 1.0 x)))) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (* (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.988 * * [simplify]: iteration 0 : 187 enodes (cost 510 ) 0.991 * * [simplify]: iteration 1 : 521 enodes (cost 462 ) 1.000 * * [simplify]: iteration 2 : 1993 enodes (cost 440 ) 1.039 * * [simplify]: iteration 3 : 5002 enodes (cost 428 ) 1.041 * [simplify]: Simplified to: (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (* 2 (log (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (sqrt (+ 1.0 x)) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (pow (log (sqrt (+ 1.0 x))) 3) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (* 2 (log (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (sqrt (+ 1.0 x)) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (pow (log (sqrt (+ 1.0 x))) 3) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (fma (- 1/4) (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (- (/ +nan.0 (pow x 2)) (/ +nan.0 x))) (- (log +nan.0) (- (/ +nan.0 (pow x 2)) (/ +nan.0 x))) (fma (- 1/4) (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (- (/ +nan.0 (pow x 2)) (/ +nan.0 x))) (- (log +nan.0) (- (/ +nan.0 (pow x 2)) (/ +nan.0 x))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 1.042 * * * [progress]: adding candidates to table 1.237 * [progress]: [Phase 3 of 3] Extracting. 1.237 * * [regime]: Finding splitpoints for: (# # # # #) 1.237 * * * [regime-changes]: Trying 3 branch expressions: ((+ 1.0 x) (log (+ 1.0 x)) x) 1.238 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # # # #) 1.262 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# #) 1.271 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# # # # #) 1.295 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.324 * * * [regime]: Found split indices: #