3.234 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.066 * [simplify]: Simplifying using # : (log (+ 1.0 x)) 0.069 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.070 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.070 * [simplify]: Simplified to: (log (+ 1.0 x)) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.078 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.078 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.105 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.121 * * * [progress]: simplifying candidates 0.122 * [simplify]: Simplifying using # : (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)))) 0.125 * * [simplify]: iteration 0 : 122 enodes (cost 95 ) 0.127 * * [simplify]: iteration 1 : 327 enodes (cost 86 ) 0.133 * * [simplify]: iteration 2 : 1161 enodes (cost 81 ) 0.159 * * [simplify]: iteration 3 : 5002 enodes (cost 78 ) 0.160 * [simplify]: Simplified to: (* 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))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (/ 1.0 x) (- (/ (/ 0.5 x) x) (log x))) (- (/ 1.0 x) (- (/ (/ 0.5 x) x) (log x))) 0.160 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.246 * * * [progress]: generating series expansions 0.246 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.247 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.247 * [taylor]: Taking taylor expansion of 1/2 in x 0.247 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.248 * [taylor]: Taking taylor expansion of 1/2 in x 0.248 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.264 * [taylor]: Taking taylor expansion of 1/2 in x 0.264 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.265 * [taylor]: Taking taylor expansion of 1/2 in x 0.265 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.282 * [taylor]: Taking taylor expansion of 1/2 in x 0.282 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.283 * [taylor]: Taking taylor expansion of 1/2 in x 0.283 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * * * [progress]: simplifying candidates 0.300 * [simplify]: Simplifying using # : (* 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)) 0.307 * * [simplify]: iteration 0 : 531 enodes (cost 638 ) 0.316 * * [simplify]: iteration 1 : 2305 enodes (cost 526 ) 0.349 * * [simplify]: iteration 2 : 5002 enodes (cost 525 ) 0.352 * [simplify]: Simplified to: (* 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)) 0.353 * * * [progress]: adding candidates to table 0.594 * * [progress]: iteration 3 / 4 0.594 * * * [progress]: picking best candidate 0.600 * * * * [pick]: Picked # 0.600 * * * [progress]: localizing error 0.606 * * * [progress]: generating rewritten candidates 0.606 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.610 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.615 * * * [progress]: generating series expansions 0.615 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.615 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.616 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.616 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.619 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.619 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.656 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.658 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.678 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.679 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.679 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.701 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.701 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.701 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.701 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.703 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.740 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.763 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.763 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.763 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.765 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of 1.0 in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.785 * * * [progress]: simplifying candidates 0.786 * [simplify]: Simplifying using # : (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)))) (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)))) (- (+ (* 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))))) 0.789 * * [simplify]: iteration 0 : 136 enodes (cost 298 ) 0.792 * * [simplify]: iteration 1 : 337 enodes (cost 268 ) 0.798 * * [simplify]: iteration 2 : 1189 enodes (cost 258 ) 0.826 * * [simplify]: iteration 3 : 5002 enodes (cost 250 ) 0.828 * [simplify]: Simplified to: (* 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)))) (* 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)))) (- (log (sqrt 1.0)) (- (* (/ 1/4 1.0) (/ (pow x 2) 1.0)) (/ (* x 1/2) 1.0))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (- (log (sqrt 1.0)) (- (* (/ 1/4 1.0) (/ (pow x 2) 1.0)) (/ (* x 1/2) 1.0))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) 0.828 * * * [progress]: adding candidates to table 0.921 * * [progress]: iteration 4 / 4 0.921 * * * [progress]: picking best candidate 0.925 * * * * [pick]: Picked # 0.925 * * * [progress]: localizing error 0.932 * * * [progress]: generating rewritten candidates 0.932 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.935 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.938 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.941 * * * [progress]: generating series expansions 0.941 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.942 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.942 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.942 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.942 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.955 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.968 * [taylor]: Taking taylor expansion of (log (- 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 0.969 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.969 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.984 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.984 * [approximate]: Taking taylor expansion of (pow (log (+ x 1.0)) 3) in (x) around 0 0.984 * [taylor]: Taking taylor expansion of (pow (log (+ x 1.0)) 3) in x 0.984 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.984 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (pow (log (+ x 1.0)) 3) in x 0.985 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.985 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [approximate]: Taking taylor expansion of (pow (log (+ (/ 1 x) 1.0)) 3) in (x) around 0 1.029 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 x) 1.0)) 3) in x 1.029 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 x) 1.0)) 3) in x 1.030 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [approximate]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 x))) 3) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 x))) 3) in x 1.047 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 x))) 3) in x 1.048 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.082 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.082 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 1.082 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.082 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.089 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 1.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 1.115 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.130 * * * [progress]: simplifying candidates 1.132 * [simplify]: Simplifying using # : (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))) (* (log (log (+ 1.0 x))) 3) (* (log (log (+ 1.0 x))) 3) (* 1 3) (pow (log (+ 1.0 x)) (* (cbrt 3) (cbrt 3))) (pow (log (+ 1.0 x)) (sqrt 3)) (pow (log (+ 1.0 x)) 1) (pow 1 3) (pow (log (+ 1.0 x)) 3) (pow (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) 3) (pow (cbrt (log (+ 1.0 x))) 3) (pow (sqrt (log (+ 1.0 x))) 3) (pow (sqrt (log (+ 1.0 x))) 3) (pow 1 3) (pow (log (+ 1.0 x)) 3) (* (log (+ 1.0 x)) (log (+ 1.0 x))) (log (pow (log (+ 1.0 x)) 3)) (exp (pow (log (+ 1.0 x)) 3)) (* (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (pow (log (+ 1.0 x)) 3)) (* (* (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 3)) (pow (log (+ 1.0 x)) 3)) (pow 1 3) (pow (log (+ 1.0 x)) 3) (pow (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) 3) (pow (cbrt (log (+ 1.0 x))) 3) (pow (sqrt (log (+ 1.0 x))) 3) (pow (sqrt (log (+ 1.0 x))) 3) (pow 1 3) (pow (log (+ 1.0 x)) 3) (* (log (+ 1.0 x)) (log (+ 1.0 x))) (sqrt (pow (log (+ 1.0 x)) 3)) (sqrt (pow (log (+ 1.0 x)) 3)) (pow (log (+ 1.0 x)) (/ 3 2)) (pow (log (+ 1.0 x)) (/ 3 2)) (log (cbrt (pow (log (+ 1.0 x)) 3))) (exp (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) 3)) (cbrt (pow (cbrt (log (+ 1.0 x))) 3)) (cbrt (pow (sqrt (log (+ 1.0 x))) 3)) (cbrt (pow (sqrt (log (+ 1.0 x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (cbrt (* (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (log (+ 1.0 x)) 3)))) (cbrt (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) 3)) (cbrt (pow (cbrt (log (+ 1.0 x))) 3)) (cbrt (pow (sqrt (log (+ 1.0 x))) 3)) (cbrt (pow (sqrt (log (+ 1.0 x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (log (+ 1.0 x))) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (sqrt (pow (log (+ 1.0 x)) 3))) (cbrt (sqrt (pow (log (+ 1.0 x)) 3))) (cbrt 1) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (log (+ 1.0 x)) (/ 3 2))) (cbrt (pow (log (+ 1.0 x)) (/ 3 2))) (* (cbrt (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (cbrt (pow (log (+ 1.0 x)) 3)))) (cbrt (cbrt (pow (log (+ 1.0 x)) 3))) (* (* (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (pow (log (+ 1.0 x)) 3))) (sqrt (cbrt (pow (log (+ 1.0 x)) 3))) (sqrt (cbrt (pow (log (+ 1.0 x)) 3))) (- (+ (* 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)))) (- (+ (* 3.0 (* (pow x 2) (log 1.0))) (+ (* 3.0 (* x (pow (log 1.0) 2))) (pow (log 1.0) 3))) (* 3/2 (/ (* (pow x 2) (pow (log 1.0) 2)) (pow 1.0 2)))) (- (* 3.0 (/ (pow (log (/ 1 x)) 2) x)) (+ (pow (log (/ 1 x)) 3) (+ (* 3.0 (/ (log (/ 1 x)) (pow x 2))) (* 1.5 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))) (- (+ (* 3 (* (log -1) (pow (log (/ -1 x)) 2))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 x))) (pow x 2))) (+ (* 3.0 (/ (pow (log (/ -1 x)) 2) x)) (+ (* 3.0 (/ (pow (log -1) 2) x)) (+ (* 3.0 (/ (log -1) (pow x 2))) (pow (log -1) 3)))))) (+ (pow (log (/ -1 x)) 3) (+ (* 3 (* (pow (log -1) 2) (log (/ -1 x)))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 x))) x)) (+ (* 1.5 (/ (pow (log (/ -1 x)) 2) (pow x 2))) (+ (* 1.5 (/ (pow (log -1) 2) (pow x 2))) (* 3.0 (/ (log (/ -1 x)) (pow x 2))))))))) (- (+ (* 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)))) 1.137 * * [simplify]: iteration 0 : 396 enodes (cost 444 ) 1.145 * * [simplify]: iteration 1 : 1597 enodes (cost 423 ) 1.172 * * [simplify]: iteration 2 : 5001 enodes (cost 406 ) 1.175 * [simplify]: Simplified to: (* 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)) (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))) (log (pow (log (+ 1.0 x)) 3)) (log (pow (log (+ 1.0 x)) 3)) 3 (pow (log (+ 1.0 x)) (* (cbrt 3) (cbrt 3))) (pow (log (+ 1.0 x)) (sqrt 3)) (log (+ 1.0 x)) 1 (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 2) (log (+ 1.0 x)) (pow (log (+ 1.0 x)) 3/2) (pow (log (+ 1.0 x)) 3/2) 1 (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 2) (log (pow (log (+ 1.0 x)) 3)) (exp (pow (log (+ 1.0 x)) 3)) (pow (log (+ 1.0 x)) 2) (log (+ 1.0 x)) (pow (pow (log (+ 1.0 x)) 3) 3) 1 (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 2) (log (+ 1.0 x)) (pow (log (+ 1.0 x)) 3/2) (pow (log (+ 1.0 x)) 3/2) 1 (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 2) (sqrt (pow (log (+ 1.0 x)) 3)) (sqrt (pow (log (+ 1.0 x)) 3)) (pow (log (+ 1.0 x)) 3/2) (pow (log (+ 1.0 x)) 3/2) (log (log (+ 1.0 x))) (+ 1.0 x) 1 (log (+ 1.0 x)) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) 1 (log (+ 1.0 x)) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) 1 (log (+ 1.0 x)) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) 1 (log (+ 1.0 x)) (cbrt (log (+ 1.0 x))) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (sqrt (pow (log (+ 1.0 x)) 3))) (cbrt (sqrt (pow (log (+ 1.0 x)) 3))) 1 (log (+ 1.0 x)) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (cbrt (* (log (+ 1.0 x)) (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))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (- (/ (/ 0.5 x) x) (log x))) (- (* (/ 1 x) (- 1.0 (/ 0.5 x))) (- (log (/ -1 x)) (log -1))) (+ (* 3.0 (+ (* (pow x 2) (log 1.0)) (* x (pow (log 1.0) 2)))) (- (pow (log 1.0) 3) (* 3/2 (/ (* (pow x 2) (pow (log 1.0) 2)) (pow 1.0 2))))) (- (* 3.0 (/ (pow (log (/ 1 x)) 2) x)) (+ (pow (log (/ 1 x)) 3) (+ (* 3.0 (/ (log (/ 1 x)) (pow x 2))) (* 1.5 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))) (- (- (+ (* 3.0 (+ (+ (/ (* (log -1) (log (/ -1 x))) (pow x 2)) (/ (pow (log (/ -1 x)) 2) x)) (+ (/ (pow (log -1) 2) x) (/ (log -1) (pow x 2))))) (+ (pow (log -1) 3) (* (pow (log (/ -1 x)) 2) (- (* 3 (log -1)) (log (/ -1 x)))))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 x))) x)) (+ (* 3 (* (pow (log -1) 2) (log (/ -1 x)))) (* (/ 1.5 x) (+ (/ (pow (log (/ -1 x)) 2) x) (/ (pow (log -1) 2) x)))))) (* 3.0 (/ (log (/ -1 x)) (pow x 2)))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (- (/ (/ 0.5 x) x) (log x))) (- (* (/ 1 x) (- 1.0 (/ 0.5 x))) (- (log (/ -1 x)) (log -1))) 1.175 * * * [progress]: adding candidates to table 1.291 * [progress]: [Phase 3 of 3] Extracting. 1.291 * * [regime]: Finding splitpoints for: (# # # #) 1.292 * * * [regime-changes]: Trying 3 branch expressions: ((+ 1.0 x) (log (+ 1.0 x)) x) 1.292 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # # #) 1.308 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# #) 1.320 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# # # #) 1.340 * * * * [regimes]: Trying to branch on x from (# # # #) 1.363 * * * [regime]: Found split indices: #