11.786 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* x (log x)) 0.019 * [simplify]: Sending expressions to egg_math: (* h0 (log h0)) 0.021 * * [simplify]: iteration 0 : 4 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 4 enodes (cost 2 ) 0.022 * [simplify]: Simplified to: (* x (log x)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (* (log x) x) in (x) around 0 0.046 * [taylor]: Taking taylor expansion of (* (log x) x) in x 0.046 * [taylor]: Taking taylor expansion of (log x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (* (log x) x) in x 0.046 * [taylor]: Taking taylor expansion of (log x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.148 * [approximate]: Taking taylor expansion of (/ (log (/ 1 x)) x) in (x) around 0 0.148 * [taylor]: Taking taylor expansion of (/ (log (/ 1 x)) x) in x 0.148 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (/ (log (/ 1 x)) x) in x 0.149 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.193 * [approximate]: Taking taylor expansion of (* -1 (/ (log (/ -1 x)) x)) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 x)) x)) in x 0.193 * [taylor]: Taking taylor expansion of -1 in x 0.193 * [taylor]: Taking taylor expansion of (/ (log (/ -1 x)) x) in x 0.193 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.193 * [taylor]: Taking taylor expansion of -1 in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 x)) x)) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [taylor]: Taking taylor expansion of (/ (log (/ -1 x)) x) in x 0.195 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.272 * * * [progress]: simplifying candidates 0.273 * [simplify]: Simplifying using # : (expm1 (* x (log x))) (log1p (* x (log x))) (* x (log x)) (+ (log x) (log (log x))) (log (* x (log x))) (exp (* x (log x))) (* (* (* x x) x) (* (* (log x) (log x)) (log x))) (* (cbrt (* x (log x))) (cbrt (* x (log x)))) (cbrt (* x (log x))) (* (* (* x (log x)) (* x (log x))) (* x (log x))) (sqrt (* x (log x))) (sqrt (* x (log x))) (* (sqrt x) (sqrt (log x))) (* (sqrt x) (sqrt (log x))) (* x (log (* (cbrt x) (cbrt x)))) (* x (log (cbrt x))) (* x (log (sqrt x))) (* x (log (sqrt x))) (* x (log 1)) (* x (log x)) (* (log (* (cbrt x) (cbrt x))) x) (* (log (cbrt x)) x) (* (log (sqrt x)) x) (* (log (sqrt x)) x) (* (log 1) x) (* (log x) x) (* x 1) (* x (* (cbrt (log x)) (cbrt (log x)))) (* x (sqrt (log x))) (* x 1) (* (cbrt x) (log x)) (* (sqrt x) (log x)) (* x (log x)) (* (log x) x) (* -1 (* x (log (/ 1 x)))) (* x (- (log -1) (log (/ -1 x)))) 0.273 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (log h0))) (log1p (* h0 (log h0))) (* h0 (log h0)) (+ (log h0) (log (log h0))) (log (* h0 (log h0))) (exp (* h0 (log h0))) (* (* (* h0 h0) h0) (* (* (log h0) (log h0)) (log h0))) (* (cbrt (* h0 (log h0))) (cbrt (* h0 (log h0)))) (cbrt (* h0 (log h0))) (* (* (* h0 (log h0)) (* h0 (log h0))) (* h0 (log h0))) (sqrt (* h0 (log h0))) (sqrt (* h0 (log h0))) (* (sqrt h0) (sqrt (log h0))) (* (sqrt h0) (sqrt (log h0))) (* h0 (log (* (cbrt h0) (cbrt h0)))) (* h0 (log (cbrt h0))) (* h0 (log (sqrt h0))) (* h0 (log (sqrt h0))) (* h0 (log 1)) (* h0 (log h0)) (* (log (* (cbrt h0) (cbrt h0))) h0) (* (log (cbrt h0)) h0) (* (log (sqrt h0)) h0) (* (log (sqrt h0)) h0) (* (log 1) h0) (* (log h0) h0) (* h0 1) (* h0 (* (cbrt (log h0)) (cbrt (log h0)))) (* h0 (sqrt (log h0))) (* h0 1) (* (cbrt h0) (log h0)) (* (sqrt h0) (log h0)) (* h0 (log h0)) (* (log h0) h0) (* -1 (* h0 (log (/ 1 h0)))) (* h0 (- (log -1) (log (/ -1 h0)))) 0.278 * * [simplify]: iteration 0 : 95 enodes (cost 121 ) 0.282 * * [simplify]: iteration 1 : 348 enodes (cost 105 ) 0.292 * * [simplify]: iteration 2 : 1040 enodes (cost 98 ) 0.316 * * [simplify]: iteration 3 : 4535 enodes (cost 98 ) 0.471 * * [simplify]: iteration 4 : 5001 enodes (cost 98 ) 0.472 * [simplify]: Simplified to: (expm1 (* x (log x))) (log1p (* x (log x))) (* x (log x)) (log (* x (log x))) (log (* x (log x))) (pow x x) (pow (* x (log x)) 3) (* (cbrt (* x (log x))) (cbrt (* x (log x)))) (cbrt (* x (log x))) (pow (* x (log x)) 3) (sqrt (* x (log x))) (sqrt (* x (log x))) (* (sqrt x) (sqrt (log x))) (* (sqrt x) (sqrt (log x))) (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))) (* x (log (sqrt x))) (* x (log (sqrt x))) 0 (* x (log x)) (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))) (* x (log (sqrt x))) (* x (log (sqrt x))) 0 (* x (log x)) x (* x (* (cbrt (log x)) (cbrt (log x)))) (* x (sqrt (log x))) x (* (cbrt x) (log x)) (* (sqrt x) (log x)) (* x (log x)) (* x (log x)) (* x (log x)) (* x (log x)) 0.472 * * * [progress]: adding candidates to table 0.508 * * [progress]: iteration 2 / 4 0.508 * * * [progress]: picking best candidate 0.520 * * * * [pick]: Picked # 0.520 * * * [progress]: localizing error 0.526 * * * [progress]: generating rewritten candidates 0.526 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.537 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.547 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.549 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.554 * * * [progress]: generating series expansions 0.554 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.554 * [approximate]: Taking taylor expansion of (* x (log (sqrt x))) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (* x (log (sqrt x))) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.554 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* x (log (sqrt x))) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.556 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.597 * [approximate]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in x 0.597 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in x 0.599 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.620 * [approximate]: Taking taylor expansion of (* -1 (/ (log (sqrt (/ -1 x))) x)) in (x) around 0 0.620 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (/ -1 x))) x)) in x 0.620 * [taylor]: Taking taylor expansion of -1 in x 0.620 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ -1 x))) x) in x 0.620 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.620 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.620 * [taylor]: Taking taylor expansion of -1 in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (/ -1 x))) x)) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ -1 x))) x) in x 0.622 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.647 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.647 * [approximate]: Taking taylor expansion of (* x (log (sqrt x))) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (* x (log (sqrt x))) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.647 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (* x (log (sqrt x))) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.692 * [approximate]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in x 0.692 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in x 0.694 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.714 * [approximate]: Taking taylor expansion of (* -1 (/ (log (sqrt (/ -1 x))) x)) in (x) around 0 0.714 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (/ -1 x))) x)) in x 0.714 * [taylor]: Taking taylor expansion of -1 in x 0.714 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ -1 x))) x) in x 0.714 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.715 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.715 * [taylor]: Taking taylor expansion of -1 in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (/ -1 x))) x)) in x 0.716 * [taylor]: Taking taylor expansion of -1 in x 0.716 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ -1 x))) x) in x 0.716 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.716 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.716 * [taylor]: Taking taylor expansion of -1 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.741 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.741 * [approximate]: Taking taylor expansion of (log (sqrt x)) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.741 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.742 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.763 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 x))) in (x) around 0 0.763 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.763 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) 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 x))) in x 0.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.782 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 x))) in (x) around 0 0.782 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.782 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.782 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.782 * [taylor]: Taking taylor expansion of -1 in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.783 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.783 * [taylor]: Taking taylor expansion of -1 in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.800 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.800 * [approximate]: Taking taylor expansion of (log (sqrt x)) in (x) around 0 0.800 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.800 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.801 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.818 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 x))) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.819 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.841 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 x))) in (x) around 0 0.841 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.841 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.841 * [taylor]: Taking taylor expansion of -1 in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 0.843 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.843 * [taylor]: Taking taylor expansion of -1 in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.859 * * * [progress]: simplifying candidates 0.861 * [simplify]: Simplifying using # : (expm1 (* x (log (sqrt x)))) (log1p (* x (log (sqrt x)))) (* x (log (sqrt x))) (+ (log x) (log (log (sqrt x)))) (log (* x (log (sqrt x)))) (exp (* x (log (sqrt x)))) (* (* (* x x) x) (* (* (log (sqrt x)) (log (sqrt x))) (log (sqrt x)))) (* (cbrt (* x (log (sqrt x)))) (cbrt (* x (log (sqrt x))))) (cbrt (* x (log (sqrt x)))) (* (* (* x (log (sqrt x))) (* x (log (sqrt x)))) (* x (log (sqrt x)))) (sqrt (* x (log (sqrt x)))) (sqrt (* x (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* x (log (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))) (* x (log (sqrt (* (cbrt x) (cbrt x))))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt 1))) (* x (log (sqrt x))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log 1)) (* x (log (sqrt x))) (* (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))) x) (* (log (cbrt (sqrt x))) x) (* (log (sqrt (* (cbrt x) (cbrt x)))) x) (* (log (sqrt (cbrt x))) x) (* (log (sqrt (sqrt x))) x) (* (log (sqrt (sqrt x))) x) (* (log (sqrt 1)) x) (* (log (sqrt x)) x) (* (log (sqrt (sqrt x))) x) (* (log (sqrt (sqrt x))) x) (* (log 1) x) (* (log (sqrt x)) x) (* x 1/2) (* x 1) (* x (/ 1 2)) (* x (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x))))) (* x (sqrt (log (sqrt x)))) (* x 1) (* (cbrt x) (log (sqrt x))) (* (sqrt x) (log (sqrt x))) (* x (log (sqrt x))) (expm1 (* x (log (sqrt x)))) (log1p (* x (log (sqrt x)))) (* x (log (sqrt x))) (+ (log x) (log (log (sqrt x)))) (log (* x (log (sqrt x)))) (exp (* x (log (sqrt x)))) (* (* (* x x) x) (* (* (log (sqrt x)) (log (sqrt x))) (log (sqrt x)))) (* (cbrt (* x (log (sqrt x)))) (cbrt (* x (log (sqrt x))))) (cbrt (* x (log (sqrt x)))) (* (* (* x (log (sqrt x))) (* x (log (sqrt x)))) (* x (log (sqrt x)))) (sqrt (* x (log (sqrt x)))) (sqrt (* x (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* x (log (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))) (* x (log (sqrt (* (cbrt x) (cbrt x))))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt 1))) (* x (log (sqrt x))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log 1)) (* x (log (sqrt x))) (* (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))) x) (* (log (cbrt (sqrt x))) x) (* (log (sqrt (* (cbrt x) (cbrt x)))) x) (* (log (sqrt (cbrt x))) x) (* (log (sqrt (sqrt x))) x) (* (log (sqrt (sqrt x))) x) (* (log (sqrt 1)) x) (* (log (sqrt x)) x) (* (log (sqrt (sqrt x))) x) (* (log (sqrt (sqrt x))) x) (* (log 1) x) (* (log (sqrt x)) x) (* x 1/2) (* x 1) (* x (/ 1 2)) (* x (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x))))) (* x (sqrt (log (sqrt x)))) (* x 1) (* (cbrt x) (log (sqrt x))) (* (sqrt x) (log (sqrt x))) (* x (log (sqrt x))) (expm1 (log (sqrt x))) (log1p (log (sqrt x))) (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (log (cbrt (sqrt x))) (log (sqrt (* (cbrt x) (cbrt x)))) (log (sqrt (cbrt x))) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) (log (sqrt 1)) (log (sqrt x)) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) (log 1) (log (sqrt x)) (log x) (log (sqrt x)) (log x) (log (log (sqrt x))) (exp (log (sqrt x))) (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x)))) (cbrt (log (sqrt x))) (* (* (log (sqrt x)) (log (sqrt x))) (log (sqrt x))) (sqrt (log (sqrt x))) (sqrt (log (sqrt x))) (expm1 (log (sqrt x))) (log1p (log (sqrt x))) (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (log (cbrt (sqrt x))) (log (sqrt (* (cbrt x) (cbrt x)))) (log (sqrt (cbrt x))) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) (log (sqrt 1)) (log (sqrt x)) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) (log 1) (log (sqrt x)) (log x) (log (sqrt x)) (log x) (log (log (sqrt x))) (exp (log (sqrt x))) (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x)))) (cbrt (log (sqrt x))) (* (* (log (sqrt x)) (log (sqrt x))) (log (sqrt x))) (sqrt (log (sqrt x))) (sqrt (log (sqrt x))) (- (+ (* (log x) x) (* x (log +nan.0))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 3))))) (- (* x (log +nan.0)) (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- (* x (log +nan.0)) (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- (+ (* (log x) x) (* x (log +nan.0))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 3))))) (- (* x (log +nan.0)) (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- (* x (log +nan.0)) (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- (+ (log +nan.0) (log x)) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (- (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))))) (- (+ (log +nan.0) (log x)) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (- (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))))) 0.861 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (log (sqrt h0)))) (log1p (* h0 (log (sqrt h0)))) (* h0 (log (sqrt h0))) (+ (log h0) (log (log (sqrt h0)))) (log (* h0 (log (sqrt h0)))) (exp (* h0 (log (sqrt h0)))) (* (* (* h0 h0) h0) (* (* (log (sqrt h0)) (log (sqrt h0))) (log (sqrt h0)))) (* (cbrt (* h0 (log (sqrt h0)))) (cbrt (* h0 (log (sqrt h0))))) (cbrt (* h0 (log (sqrt h0)))) (* (* (* h0 (log (sqrt h0))) (* h0 (log (sqrt h0)))) (* h0 (log (sqrt h0)))) (sqrt (* h0 (log (sqrt h0)))) (sqrt (* h0 (log (sqrt h0)))) (* (sqrt h0) (sqrt (log (sqrt h0)))) (* (sqrt h0) (sqrt (log (sqrt h0)))) (* h0 (log (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* h0 (log (cbrt (sqrt h0)))) (* h0 (log (sqrt (* (cbrt h0) (cbrt h0))))) (* h0 (log (sqrt (cbrt h0)))) (* h0 (log (sqrt (sqrt h0)))) (* h0 (log (sqrt (sqrt h0)))) (* h0 (log (sqrt 1))) (* h0 (log (sqrt h0))) (* h0 (log (sqrt (sqrt h0)))) (* h0 (log (sqrt (sqrt h0)))) (* h0 (log 1)) (* h0 (log (sqrt h0))) (* (log (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) h0) (* (log (cbrt (sqrt h0))) h0) (* (log (sqrt (* (cbrt h0) (cbrt h0)))) h0) (* (log (sqrt (cbrt h0))) h0) (* (log (sqrt (sqrt h0))) h0) (* (log (sqrt (sqrt h0))) h0) (* (log (sqrt 1)) h0) (* (log (sqrt h0)) h0) (* (log (sqrt (sqrt h0))) h0) (* (log (sqrt (sqrt h0))) h0) (* (log 1) h0) (* (log (sqrt h0)) h0) (* h0 1/2) (* h0 1) (* h0 (/ 1 2)) (* h0 (* (cbrt (log (sqrt h0))) (cbrt (log (sqrt h0))))) (* h0 (sqrt (log (sqrt h0)))) (* h0 1) (* (cbrt h0) (log (sqrt h0))) (* (sqrt h0) (log (sqrt h0))) (* h0 (log (sqrt h0))) (expm1 (* h0 (log (sqrt h0)))) (log1p (* h0 (log (sqrt h0)))) (* h0 (log (sqrt h0))) (+ (log h0) (log (log (sqrt h0)))) (log (* h0 (log (sqrt h0)))) (exp (* h0 (log (sqrt h0)))) (* (* (* h0 h0) h0) (* (* (log (sqrt h0)) (log (sqrt h0))) (log (sqrt h0)))) (* (cbrt (* h0 (log (sqrt h0)))) (cbrt (* h0 (log (sqrt h0))))) (cbrt (* h0 (log (sqrt h0)))) (* (* (* h0 (log (sqrt h0))) (* h0 (log (sqrt h0)))) (* h0 (log (sqrt h0)))) (sqrt (* h0 (log (sqrt h0)))) (sqrt (* h0 (log (sqrt h0)))) (* (sqrt h0) (sqrt (log (sqrt h0)))) (* (sqrt h0) (sqrt (log (sqrt h0)))) (* h0 (log (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* h0 (log (cbrt (sqrt h0)))) (* h0 (log (sqrt (* (cbrt h0) (cbrt h0))))) (* h0 (log (sqrt (cbrt h0)))) (* h0 (log (sqrt (sqrt h0)))) (* h0 (log (sqrt (sqrt h0)))) (* h0 (log (sqrt 1))) (* h0 (log (sqrt h0))) (* h0 (log (sqrt (sqrt h0)))) (* h0 (log (sqrt (sqrt h0)))) (* h0 (log 1)) (* h0 (log (sqrt h0))) (* (log (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) h0) (* (log (cbrt (sqrt h0))) h0) (* (log (sqrt (* (cbrt h0) (cbrt h0)))) h0) (* (log (sqrt (cbrt h0))) h0) (* (log (sqrt (sqrt h0))) h0) (* (log (sqrt (sqrt h0))) h0) (* (log (sqrt 1)) h0) (* (log (sqrt h0)) h0) (* (log (sqrt (sqrt h0))) h0) (* (log (sqrt (sqrt h0))) h0) (* (log 1) h0) (* (log (sqrt h0)) h0) (* h0 1/2) (* h0 1) (* h0 (/ 1 2)) (* h0 (* (cbrt (log (sqrt h0))) (cbrt (log (sqrt h0))))) (* h0 (sqrt (log (sqrt h0)))) (* h0 1) (* (cbrt h0) (log (sqrt h0))) (* (sqrt h0) (log (sqrt h0))) (* h0 (log (sqrt h0))) (expm1 (log (sqrt h0))) (log1p (log (sqrt h0))) (log (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (log (cbrt (sqrt h0))) (log (sqrt (* (cbrt h0) (cbrt h0)))) (log (sqrt (cbrt h0))) (log (sqrt (sqrt h0))) (log (sqrt (sqrt h0))) (log (sqrt 1)) (log (sqrt h0)) (log (sqrt (sqrt h0))) (log (sqrt (sqrt h0))) (log 1) (log (sqrt h0)) (log h0) (log (sqrt h0)) (log h0) (log (log (sqrt h0))) (exp (log (sqrt h0))) (* (cbrt (log (sqrt h0))) (cbrt (log (sqrt h0)))) (cbrt (log (sqrt h0))) (* (* (log (sqrt h0)) (log (sqrt h0))) (log (sqrt h0))) (sqrt (log (sqrt h0))) (sqrt (log (sqrt h0))) (expm1 (log (sqrt h0))) (log1p (log (sqrt h0))) (log (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (log (cbrt (sqrt h0))) (log (sqrt (* (cbrt h0) (cbrt h0)))) (log (sqrt (cbrt h0))) (log (sqrt (sqrt h0))) (log (sqrt (sqrt h0))) (log (sqrt 1)) (log (sqrt h0)) (log (sqrt (sqrt h0))) (log (sqrt (sqrt h0))) (log 1) (log (sqrt h0)) (log h0) (log (sqrt h0)) (log h0) (log (log (sqrt h0))) (exp (log (sqrt h0))) (* (cbrt (log (sqrt h0))) (cbrt (log (sqrt h0)))) (cbrt (log (sqrt h0))) (* (* (log (sqrt h0)) (log (sqrt h0))) (log (sqrt h0))) (sqrt (log (sqrt h0))) (sqrt (log (sqrt h0))) (- (+ (* (log h0) h0) (* h0 (log h1))) (+ (* h1 (pow h0 2)) (- (* h1 (pow h0 3))))) (- (* h0 (log h1)) (+ h1 (- (* h1 (/ 1 h0))))) (- (* h0 (log h1)) (+ h1 (- (* h1 (/ 1 h0))))) (- (+ (* (log h0) h0) (* h0 (log h1))) (+ (* h1 (pow h0 2)) (- (* h1 (pow h0 3))))) (- (* h0 (log h1)) (+ h1 (- (* h1 (/ 1 h0))))) (- (* h0 (log h1)) (+ h1 (- (* h1 (/ 1 h0))))) (- (+ (log h1) (log h0)) (+ (* h1 (pow h0 2)) (- (* h1 h0)))) (- (log h1) (+ (* h1 (/ 1 (pow h0 2))) (- (* h1 (/ 1 h0))))) (- (log h1) (+ (* h1 (/ 1 (pow h0 2))) (- (* h1 (/ 1 h0))))) (- (+ (log h1) (log h0)) (+ (* h1 (pow h0 2)) (- (* h1 h0)))) (- (log h1) (+ (* h1 (/ 1 (pow h0 2))) (- (* h1 (/ 1 h0))))) (- (log h1) (+ (* h1 (/ 1 (pow h0 2))) (- (* h1 (/ 1 h0))))) 0.865 * * [simplify]: iteration 0 : 192 enodes (cost 642 ) 0.869 * * [simplify]: iteration 1 : 679 enodes (cost 572 ) 0.884 * * [simplify]: iteration 2 : 3087 enodes (cost 538 ) 0.944 * * [simplify]: iteration 3 : 5003 enodes (cost 536 ) 0.947 * [simplify]: Simplified to: (expm1 (* x (log (sqrt x)))) (log1p (* x (log (sqrt x)))) (* x (log (sqrt x))) (log (* x (log (sqrt x)))) (log (* x (log (sqrt x)))) (pow (sqrt x) x) (pow (* x (log (sqrt x))) 3) (* (cbrt (* x (log (sqrt x)))) (cbrt (* x (log (sqrt x))))) (cbrt (* x (log (sqrt x)))) (pow (* x (log (sqrt x))) 3) (sqrt (* x (log (sqrt x)))) (sqrt (* x (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))) (* x (log (sqrt (* (cbrt x) (cbrt x))))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) 0 (* x (log (sqrt x))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) 0 (* x (log (sqrt x))) (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))) (* x (log (sqrt (* (cbrt x) (cbrt x))))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) 0 (* x (log (sqrt x))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) 0 (* x (log (sqrt x))) (* x 1/2) x (* x 1/2) (* x (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x))))) (* x (sqrt (log (sqrt x)))) x (* (cbrt x) (log (sqrt x))) (* (sqrt x) (log (sqrt x))) (* x (log (sqrt x))) (expm1 (* x (log (sqrt x)))) (log1p (* x (log (sqrt x)))) (* x (log (sqrt x))) (log (* x (log (sqrt x)))) (log (* x (log (sqrt x)))) (pow (sqrt x) x) (pow (* x (log (sqrt x))) 3) (* (cbrt (* x (log (sqrt x)))) (cbrt (* x (log (sqrt x))))) (cbrt (* x (log (sqrt x)))) (pow (* x (log (sqrt x))) 3) (sqrt (* x (log (sqrt x)))) (sqrt (* x (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))) (* x (log (sqrt (* (cbrt x) (cbrt x))))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) 0 (* x (log (sqrt x))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) 0 (* x (log (sqrt x))) (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))) (* x (log (sqrt (* (cbrt x) (cbrt x))))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) 0 (* x (log (sqrt x))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) 0 (* x (log (sqrt x))) (* x 1/2) x (* x 1/2) (* x (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x))))) (* x (sqrt (log (sqrt x)))) x (* (cbrt x) (log (sqrt x))) (* (sqrt x) (log (sqrt x))) (* x (log (sqrt x))) (expm1 (log (sqrt x))) (log1p (log (sqrt x))) (* 2 (log (cbrt (sqrt x)))) (log (cbrt (sqrt x))) (log (sqrt (* (cbrt x) (cbrt x)))) (log (sqrt (cbrt x))) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) 0 (log (sqrt x)) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) 0 (log (sqrt x)) (log x) (log (sqrt x)) (log x) (log (log (sqrt x))) (pow x 1/2) (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x)))) (cbrt (log (sqrt x))) (pow (log (sqrt x)) 3) (sqrt (log (sqrt x))) (sqrt (log (sqrt x))) (expm1 (log (sqrt x))) (log1p (log (sqrt x))) (* 2 (log (cbrt (sqrt x)))) (log (cbrt (sqrt x))) (log (sqrt (* (cbrt x) (cbrt x)))) (log (sqrt (cbrt x))) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) 0 (log (sqrt x)) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) 0 (log (sqrt x)) (log x) (log (sqrt x)) (log x) (log (log (sqrt x))) (pow x 1/2) (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x)))) (cbrt (log (sqrt x))) (pow (log (sqrt x)) 3) (sqrt (log (sqrt x))) (sqrt (log (sqrt x))) (fma x (- (+ (log +nan.0) (log x)) (* +nan.0 x)) (* +nan.0 (pow x 3))) (- (* x (log +nan.0)) (- +nan.0 (/ +nan.0 x))) (- (* x (log +nan.0)) (- +nan.0 (/ +nan.0 x))) (fma x (- (+ (log +nan.0) (log x)) (* +nan.0 x)) (* +nan.0 (pow x 3))) (- (* x (log +nan.0)) (- +nan.0 (/ +nan.0 x))) (- (* x (log +nan.0)) (- +nan.0 (/ +nan.0 x))) (+ (log x) (- (log +nan.0) (* +nan.0 (- (pow x 2) x)))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (+ (log x) (- (log +nan.0) (* +nan.0 (- (pow x 2) x)))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) 0.947 * * * [progress]: adding candidates to table 1.145 * * [progress]: iteration 3 / 4 1.146 * * * [progress]: picking best candidate 1.155 * * * * [pick]: Picked # 1.156 * * * [progress]: localizing error 1.173 * * * [progress]: generating rewritten candidates 1.174 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 1.174 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1 2) 1.175 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 1.176 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 1.188 * * * [progress]: generating series expansions 1.188 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 1.188 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.188 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.188 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.188 * [taylor]: Taking taylor expansion of 1/3 in x 1.188 * [taylor]: Taking taylor expansion of (log x) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.189 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.189 * [taylor]: Taking taylor expansion of 1/3 in x 1.189 * [taylor]: Taking taylor expansion of (log x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.238 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.238 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.238 * [taylor]: Taking taylor expansion of 1/3 in x 1.238 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.239 * [taylor]: Taking taylor expansion of 1/3 in x 1.239 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.292 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.292 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.292 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.292 * [taylor]: Taking taylor expansion of -1 in x 1.293 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.293 * [taylor]: Taking taylor expansion of 1/3 in x 1.293 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.293 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.293 * [taylor]: Taking taylor expansion of -1 in x 1.294 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.294 * [taylor]: Taking taylor expansion of 1/3 in x 1.294 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.356 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1 2) 1.357 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.357 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.357 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.357 * [taylor]: Taking taylor expansion of 1/3 in x 1.357 * [taylor]: Taking taylor expansion of (log x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.357 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.357 * [taylor]: Taking taylor expansion of 1/3 in x 1.357 * [taylor]: Taking taylor expansion of (log x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.419 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.419 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.419 * [taylor]: Taking taylor expansion of 1/3 in x 1.419 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.420 * [taylor]: Taking taylor expansion of 1/3 in x 1.420 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.503 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.503 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.503 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.503 * [taylor]: Taking taylor expansion of -1 in x 1.503 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.504 * [taylor]: Taking taylor expansion of 1/3 in x 1.504 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.504 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.504 * [taylor]: Taking taylor expansion of -1 in x 1.505 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.505 * [taylor]: Taking taylor expansion of 1/3 in x 1.505 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.573 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 1.573 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.573 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.573 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.573 * [taylor]: Taking taylor expansion of 1/3 in x 1.573 * [taylor]: Taking taylor expansion of (log x) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.574 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.574 * [taylor]: Taking taylor expansion of 1/3 in x 1.574 * [taylor]: Taking taylor expansion of (log x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.627 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.627 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.627 * [taylor]: Taking taylor expansion of 1/3 in x 1.627 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.628 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.628 * [taylor]: Taking taylor expansion of 1/3 in x 1.628 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.678 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.678 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.678 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.678 * [taylor]: Taking taylor expansion of -1 in x 1.679 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.679 * [taylor]: Taking taylor expansion of 1/3 in x 1.679 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.679 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.680 * [taylor]: Taking taylor expansion of -1 in x 1.680 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.680 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.680 * [taylor]: Taking taylor expansion of 1/3 in x 1.680 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.747 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 1.747 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 1.747 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.747 * [taylor]: Taking taylor expansion of 1/3 in x 1.747 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.748 * [taylor]: Taking taylor expansion of 1/3 in x 1.748 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.803 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.803 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.803 * [taylor]: Taking taylor expansion of 1/3 in x 1.803 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.803 * [taylor]: Taking taylor expansion of x in x 1.804 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.804 * [taylor]: Taking taylor expansion of 1/3 in x 1.804 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.863 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.863 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.863 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.863 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.863 * [taylor]: Taking taylor expansion of -1 in x 1.863 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.864 * [taylor]: Taking taylor expansion of 1/3 in x 1.864 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.865 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.865 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.865 * [taylor]: Taking taylor expansion of -1 in x 1.865 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.865 * [taylor]: Taking taylor expansion of 1/3 in x 1.865 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.940 * * * [progress]: simplifying candidates 1.941 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.942 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (* (cbrt h0) (cbrt h0))) (log1p (* (cbrt h0) (cbrt h0))) (+ 1/3 1/3) (+ 1 1) (* h0 h0) (* (cbrt h0) (cbrt h0)) (+ 1 1) (+ (log (cbrt h0)) (log (cbrt h0))) (log (* (cbrt h0) (cbrt h0))) (exp (* (cbrt h0) (cbrt h0))) (* h0 h0) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (cbrt (* (cbrt h0) (cbrt h0))) (* (* (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0))) (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt 1) (cbrt 1)) (* (cbrt h0) (cbrt h0)) (* (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 1 1) (* (cbrt h0) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 2 1/3) (* 2 1) (* (cbrt h0) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt h0) (cbrt (sqrt h0))) (* (cbrt h0) (cbrt 1)) (* (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt h0) (sqrt (cbrt h0))) (* (cbrt h0) 1) (* (cbrt (cbrt h0)) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt (cbrt h0)) (cbrt h0)) (* (sqrt (cbrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 2/3) (pow (/ 1 h0) -2/3) (* (pow (cbrt -1) 2) (pow (pow h0 2) 1/3)) 1.945 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.948 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.962 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 2.027 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 2.029 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.030 * * * [progress]: adding candidates to table 2.358 * * [progress]: iteration 4 / 4 2.358 * * * [progress]: picking best candidate 2.366 * * * * [pick]: Picked # 2.366 * * * [progress]: localizing error 2.377 * * * [progress]: generating rewritten candidates 2.377 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.391 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.419 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.432 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 2.439 * * * [progress]: generating series expansions 2.439 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.439 * [approximate]: Taking taylor expansion of (* (sqrt x) (log (sqrt x))) in (x) around 0 2.439 * [taylor]: Taking taylor expansion of (* (sqrt x) (log (sqrt x))) in x 2.439 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.441 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.441 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.442 * [taylor]: Taking taylor expansion of (* (sqrt x) (log (sqrt x))) in x 2.442 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.442 * [taylor]: Taking taylor expansion of x in x 2.443 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.443 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.443 * [taylor]: Taking taylor expansion of x in x 2.490 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (log (sqrt (/ 1 x)))) in (x) around 0 2.490 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (log (sqrt (/ 1 x)))) in x 2.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.492 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.493 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (log (sqrt (/ 1 x)))) in x 2.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.493 * [taylor]: Taking taylor expansion of x in x 2.494 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.494 * [taylor]: Taking taylor expansion of x in x 2.549 * [approximate]: Taking taylor expansion of (* (log (sqrt (/ -1 x))) (sqrt (/ -1 x))) in (x) around 0 2.550 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 2.550 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.550 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.550 * [taylor]: Taking taylor expansion of -1 in x 2.550 * [taylor]: Taking taylor expansion of x in x 2.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.551 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.551 * [taylor]: Taking taylor expansion of -1 in x 2.551 * [taylor]: Taking taylor expansion of x in x 2.552 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 2.552 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.552 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.552 * [taylor]: Taking taylor expansion of -1 in x 2.552 * [taylor]: Taking taylor expansion of x in x 2.554 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.554 * [taylor]: Taking taylor expansion of -1 in x 2.554 * [taylor]: Taking taylor expansion of x in x 2.610 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.610 * [approximate]: Taking taylor expansion of (* x (log (sqrt x))) in (x) around 0 2.610 * [taylor]: Taking taylor expansion of (* x (log (sqrt x))) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.610 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.611 * [taylor]: Taking taylor expansion of (* x (log (sqrt x))) in x 2.611 * [taylor]: Taking taylor expansion of x in x 2.611 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.611 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.611 * [taylor]: Taking taylor expansion of x in x 2.647 * [approximate]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in (x) around 0 2.647 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in x 2.647 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.647 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in x 2.649 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.650 * [taylor]: Taking taylor expansion of x in x 2.670 * [approximate]: Taking taylor expansion of (* (log (sqrt (/ -1 x))) (pow (sqrt (/ -1 x)) 2)) in (x) around 0 2.670 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 x))) (pow (sqrt (/ -1 x)) 2)) in x 2.670 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.670 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.670 * [taylor]: Taking taylor expansion of -1 in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.671 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.671 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.671 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.671 * [taylor]: Taking taylor expansion of -1 in x 2.671 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 x))) (pow (sqrt (/ -1 x)) 2)) in x 2.672 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.672 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.672 * [taylor]: Taking taylor expansion of -1 in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.674 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.674 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.674 * [taylor]: Taking taylor expansion of -1 in x 2.674 * [taylor]: Taking taylor expansion of x in x 2.712 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.712 * [approximate]: Taking taylor expansion of (* x (log (sqrt x))) in (x) around 0 2.712 * [taylor]: Taking taylor expansion of (* x (log (sqrt x))) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.712 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of (* x (log (sqrt x))) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.713 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.749 * [approximate]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in (x) around 0 2.749 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in x 2.749 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.751 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ 1 x))) x) in x 2.751 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.751 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.777 * [approximate]: Taking taylor expansion of (* -1 (/ (log (sqrt (/ -1 x))) x)) in (x) around 0 2.777 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (/ -1 x))) x)) in x 2.777 * [taylor]: Taking taylor expansion of -1 in x 2.777 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ -1 x))) x) in x 2.777 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.777 * [taylor]: Taking taylor expansion of -1 in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.779 * [taylor]: Taking taylor expansion of x in x 2.779 * [taylor]: Taking taylor expansion of (* -1 (/ (log (sqrt (/ -1 x))) x)) in x 2.779 * [taylor]: Taking taylor expansion of -1 in x 2.779 * [taylor]: Taking taylor expansion of (/ (log (sqrt (/ -1 x))) x) in x 2.779 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.779 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.779 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.779 * [taylor]: Taking taylor expansion of -1 in x 2.779 * [taylor]: Taking taylor expansion of x in x 2.781 * [taylor]: Taking taylor expansion of x in x 2.804 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.804 * [approximate]: Taking taylor expansion of (log (sqrt x)) in (x) around 0 2.804 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.804 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.806 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.806 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.822 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 x))) in (x) around 0 2.822 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.840 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 x))) in (x) around 0 2.840 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.840 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.840 * [taylor]: Taking taylor expansion of -1 in x 2.840 * [taylor]: Taking taylor expansion of x in x 2.848 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.848 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.848 * [taylor]: Taking taylor expansion of -1 in x 2.848 * [taylor]: Taking taylor expansion of x in x 2.866 * * * [progress]: simplifying candidates 2.868 * [simplify]: Simplifying using # : (expm1 (* (sqrt x) (log (sqrt x)))) (log1p (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (log (sqrt x))) (+ (log (sqrt x)) (log (log (sqrt x)))) (log (* (sqrt x) (log (sqrt x)))) (exp (* (sqrt x) (log (sqrt x)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (log (sqrt x)) (log (sqrt x))) (log (sqrt x)))) (* (cbrt (* (sqrt x) (log (sqrt x)))) (cbrt (* (sqrt x) (log (sqrt x))))) (cbrt (* (sqrt x) (log (sqrt x)))) (* (* (* (sqrt x) (log (sqrt x))) (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (log (sqrt x)))) (sqrt (* (sqrt x) (log (sqrt x)))) (sqrt (* (sqrt x) (log (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (log (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (log (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (log (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (log (sqrt x)))) (* (sqrt x) (log (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (sqrt x) (log (cbrt (sqrt x)))) (* (sqrt x) (log (sqrt (* (cbrt x) (cbrt x))))) (* (sqrt x) (log (sqrt (cbrt x)))) (* (sqrt x) (log (sqrt (sqrt x)))) (* (sqrt x) (log (sqrt (sqrt x)))) (* (sqrt x) (log (sqrt 1))) (* (sqrt x) (log (sqrt x))) (* (sqrt x) (log (sqrt (sqrt x)))) (* (sqrt x) (log (sqrt (sqrt x)))) (* (sqrt x) (log 1)) (* (sqrt x) (log (sqrt x))) (* (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt x)) (* (log (cbrt (sqrt x))) (sqrt x)) (* (log (sqrt (* (cbrt x) (cbrt x)))) (sqrt x)) (* (log (sqrt (cbrt x))) (sqrt x)) (* (log (sqrt (sqrt x))) (sqrt x)) (* (log (sqrt (sqrt x))) (sqrt x)) (* (log (sqrt 1)) (sqrt x)) (* (log (sqrt x)) (sqrt x)) (* (log (sqrt (sqrt x))) (sqrt x)) (* (log (sqrt (sqrt x))) (sqrt x)) (* (log 1) (sqrt x)) (* (log (sqrt x)) (sqrt x)) (* (sqrt x) 1/2) (* (sqrt x) 1) (* (sqrt x) (/ 1 2)) (* (sqrt x) (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x))))) (* (sqrt x) (sqrt (log (sqrt x)))) (* (sqrt x) 1) (* (cbrt (sqrt x)) (log (sqrt x))) (* (sqrt (cbrt x)) (log (sqrt x))) (* (sqrt (sqrt x)) (log (sqrt x))) (* (sqrt x) (log (sqrt x))) (* (sqrt (sqrt x)) (log (sqrt x))) (* (sqrt x) (log (sqrt x))) (expm1 (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (log1p (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (* (sqrt x) (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (* (sqrt x) (log (sqrt x)))) (+ (log (sqrt x)) (+ (log (sqrt x)) (log (log (sqrt x))))) (+ (log (sqrt x)) (log (* (sqrt x) (log (sqrt x))))) (log (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (exp (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (log (sqrt x)) (log (sqrt x))) (log (sqrt x))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (* (sqrt x) (log (sqrt x))) (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (log (sqrt x))))) (* (cbrt (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (cbrt (* (sqrt x) (* (sqrt x) (log (sqrt x)))))) (cbrt (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (* (* (* (sqrt x) (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (sqrt (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (sqrt (* (sqrt x) (* (sqrt x) (log (sqrt x))))) (* (sqrt x) (* (sqrt x) (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (* (sqrt x) (* (sqrt x) (log (cbrt (sqrt x))))) (* (sqrt x) (* (sqrt x) (log (sqrt (* (cbrt x) (cbrt x)))))) (* (sqrt x) (* (sqrt x) (log (sqrt (cbrt x))))) (* (sqrt x) (* (sqrt x) (log (sqrt (sqrt x))))) (* (sqrt x) (* (sqrt x) (log (sqrt (sqrt x))))) (* (sqrt x) (* (sqrt x) (log (sqrt 1)))) (* (sqrt x) (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (* (sqrt x) (log (sqrt (sqrt x))))) (* (sqrt x) (* (sqrt x) (log (sqrt (sqrt x))))) (* (sqrt x) (* (sqrt x) (log 1))) (* (sqrt x) (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (* (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt x))) (* (sqrt x) (* (log (cbrt (sqrt x))) (sqrt x))) (* (sqrt x) (* (log (sqrt (* (cbrt x) (cbrt x)))) (sqrt x))) (* (sqrt x) (* (log (sqrt (cbrt x))) (sqrt x))) (* (sqrt x) (* (log (sqrt (sqrt x))) (sqrt x))) (* (sqrt x) (* (log (sqrt (sqrt x))) (sqrt x))) (* (sqrt x) (* (log (sqrt 1)) (sqrt x))) (* (sqrt x) (* (log (sqrt x)) (sqrt x))) (* (sqrt x) (* (log (sqrt (sqrt x))) (sqrt x))) (* (sqrt x) (* (log (sqrt (sqrt x))) (sqrt x))) (* (sqrt x) (* (log 1) (sqrt x))) (* (sqrt x) (* (log (sqrt x)) (sqrt x))) (* (* (sqrt x) (log (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (sqrt x)) (* (* (sqrt x) (log (cbrt (sqrt x)))) (sqrt x)) (* (* (sqrt x) (log (sqrt (* (cbrt x) (cbrt x))))) (sqrt x)) (* (* (sqrt x) (log (sqrt (cbrt x)))) (sqrt x)) (* (* (sqrt x) (log (sqrt (sqrt x)))) (sqrt x)) (* (* (sqrt x) (log (sqrt (sqrt x)))) (sqrt x)) (* (* (sqrt x) (log (sqrt 1))) (sqrt x)) (* (* (sqrt x) (log (sqrt x))) (sqrt x)) (* (* (sqrt x) (log (sqrt (sqrt x)))) (sqrt x)) (* (* (sqrt x) (log (sqrt (sqrt x)))) (sqrt x)) (* (* (sqrt x) (log 1)) (sqrt x)) (* (* (sqrt x) (log (sqrt x))) (sqrt x)) (* (* (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt x)) (sqrt x)) (* (* (log (cbrt (sqrt x))) (sqrt x)) (sqrt x)) (* (* (log (sqrt (* (cbrt x) (cbrt x)))) (sqrt x)) (sqrt x)) (* (* (log (sqrt (cbrt x))) (sqrt x)) (sqrt x)) (* (* (log (sqrt (sqrt x))) (sqrt x)) (sqrt x)) (* (* (log (sqrt (sqrt x))) (sqrt x)) (sqrt x)) (* (* (log (sqrt 1)) (sqrt x)) (sqrt x)) (* (* (log (sqrt x)) (sqrt x)) (sqrt x)) (* (* (log (sqrt (sqrt x))) (sqrt x)) (sqrt x)) (* (* (log (sqrt (sqrt x))) (sqrt x)) (sqrt x)) (* (* (log 1) (sqrt x)) (sqrt x)) (* (* (log (sqrt x)) (sqrt x)) (sqrt x)) (* (sqrt x) (sqrt x)) (* (cbrt (sqrt x)) (* (sqrt x) (log (sqrt x)))) (* (sqrt (cbrt x)) (* (sqrt x) (log (sqrt x)))) (* (sqrt (sqrt x)) (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (* (sqrt x) (log (sqrt x)))) (* (sqrt (sqrt x)) (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (* (sqrt x) (log (sqrt x)))) (expm1 (* x (log (sqrt x)))) (log1p (* x (log (sqrt x)))) (* x (log (sqrt x))) (+ (log x) (log (log (sqrt x)))) (log (* x (log (sqrt x)))) (exp (* x (log (sqrt x)))) (* (* (* x x) x) (* (* (log (sqrt x)) (log (sqrt x))) (log (sqrt x)))) (* (cbrt (* x (log (sqrt x)))) (cbrt (* x (log (sqrt x))))) (cbrt (* x (log (sqrt x)))) (* (* (* x (log (sqrt x))) (* x (log (sqrt x)))) (* x (log (sqrt x)))) (sqrt (* x (log (sqrt x)))) (sqrt (* x (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* (sqrt x) (sqrt (log (sqrt x)))) (* x (log (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))) (* x (log (sqrt (* (cbrt x) (cbrt x))))) (* x (log (sqrt (cbrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt 1))) (* x (log (sqrt x))) (* x (log (sqrt (sqrt x)))) (* x (log (sqrt (sqrt x)))) (* x (log 1)) (* x (log (sqrt x))) (* (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))) x) (* (log (cbrt (sqrt x))) x) (* (log (sqrt (* (cbrt x) (cbrt x)))) x) (* (log (sqrt (cbrt x))) x) (* (log (sqrt (sqrt x))) x) (* (log (sqrt (sqrt x))) x) (* (log (sqrt 1)) x) (* (log (sqrt x)) x) (* (log (sqrt (sqrt x))) x) (* (log (sqrt (sqrt x))) x) (* (log 1) x) (* (log (sqrt x)) x) (* x 1/2) (* x 1) (* x (/ 1 2)) (* x (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x))))) (* x (sqrt (log (sqrt x)))) (* x 1) (* (cbrt x) (log (sqrt x))) (* (sqrt x) (log (sqrt x))) (* x (log (sqrt x))) (expm1 (log (sqrt x))) (log1p (log (sqrt x))) (log (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (log (cbrt (sqrt x))) (log (sqrt (* (cbrt x) (cbrt x)))) (log (sqrt (cbrt x))) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) (log (sqrt 1)) (log (sqrt x)) (log (sqrt (sqrt x))) (log (sqrt (sqrt x))) (log 1) (log (sqrt x)) (log x) (log (sqrt x)) (log x) (log (log (sqrt x))) (exp (log (sqrt x))) (* (cbrt (log (sqrt x))) (cbrt (log (sqrt x)))) (cbrt (log (sqrt x))) (* (* (log (sqrt x)) (log (sqrt x))) (log (sqrt x))) (sqrt (log (sqrt x))) (sqrt (log (sqrt x))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (* (log x) x)) (- (+ (* +nan.0 (pow x 3)) (- (+ (* +nan.0 (* x (log +nan.0))) (- (+ (* +nan.0 (* (log x) (pow x 3))) (- (+ (* +nan.0 (* (pow x 2) (log +nan.0))) (- (+ (* +nan.0 (* (pow x 3) (log +nan.0))) (- (* +nan.0 (* (log x) (pow x 2)))))))))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (log +nan.0) (pow x 2))) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (/ (log +nan.0) x)) (- (* +nan.0 (/ 1 x))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (log +nan.0) (pow x 2))) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (/ (log +nan.0) x)) (- (* +nan.0 (/ 1 x))))))))))) (- (+ (* (log x) x) (* x (log +nan.0))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 3))))) (- (* x (log +nan.0)) (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (log +nan.0) (pow x 2))) (- (+ (* +nan.0 (log +nan.0)) (- (+ (* +nan.0 (/ (log +nan.0) x)) (- (* +nan.0 (/ 1 x))))))))))) (- (+ (* (log x) x) (* x (log +nan.0))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 3))))) (- (* x (log +nan.0)) (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- (* x (log +nan.0)) (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- (+ (log +nan.0) (log x)) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (- (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))))) 2.869 * [simplify]: Sending expressions to egg_math: (expm1 (* (sqrt h0) (log (sqrt h0)))) (log1p (* (sqrt h0) (log (sqrt h0)))) (* (sqrt h0) (log (sqrt h0))) (+ (log (sqrt h0)) (log (log (sqrt h0)))) (log (* (sqrt h0) (log (sqrt h0)))) (exp (* (sqrt h0) (log (sqrt h0)))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (log (sqrt h0)) (log (sqrt h0))) (log (sqrt h0)))) (* (cbrt (* (sqrt h0) (log (sqrt h0)))) (cbrt (* (sqrt h0) (log (sqrt h0))))) (cbrt (* (sqrt h0) (log (sqrt h0)))) (* (* (* (sqrt h0) (log (sqrt h0))) (* (sqrt h0) (log (sqrt h0)))) (* (sqrt h0) (log (sqrt h0)))) (sqrt (* (sqrt h0) (log (sqrt h0)))) (sqrt (* (sqrt h0) (log (sqrt h0)))) (* (sqrt (sqrt h0)) (sqrt (log (sqrt h0)))) (* (sqrt (sqrt h0)) (sqrt (log (sqrt h0)))) (* (sqrt (sqrt h0)) (sqrt (log (sqrt h0)))) (* (sqrt (sqrt h0)) (sqrt (log (sqrt h0)))) (* (sqrt h0) (log (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* (sqrt h0) (log (cbrt (sqrt h0)))) (* (sqrt h0) (log (sqrt (* (cbrt h0) (cbrt h0))))) (* (sqrt h0) (log (sqrt (cbrt h0)))) (* (sqrt h0) (log (sqrt (sqrt h0)))) (* (sqrt h0) (log (sqrt (sqrt h0)))) (* (sqrt h0) (log (sqrt 1))) (* (sqrt h0) (log (sqrt h0))) (* (sqrt h0) (log (sqrt (sqrt h0)))) (* (sqrt h0) (log (sqrt (sqrt h0)))) (* (sqrt h0) (log 1)) (* (sqrt h0) (log (sqrt h0))) (* (log (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (sqrt h0)) (* (log (cbrt (sqrt h0))) (sqrt h0)) (* (log (sqrt (* (cbrt h0) (cbrt h0)))) (sqrt h0)) (* (log (sqrt (cbrt h0))) (sqrt h0)) (* (log (sqrt (sqrt h0))) (sqrt h0)) (* (log (sqrt (sqrt h0))) (sqrt h0)) (* (log (sqrt 1)) (sqrt h0)) (* (log (sqrt h0)) (sqrt h0)) (* (log (sqrt (sqrt h0))) (sqrt h0)) (* (log (sqrt (sqrt h0))) (sqrt h0)) (* (log 1) (sqrt h0)) (* (log (sqrt h0)) (sqrt h0)) (* (sqrt h0) 1/2) (* (sqrt h0) 1) (* (sqrt h0) (/ 1 2)) (* (sqrt h0) (* (cbrt (log (sqrt h0))) (cbrt (log (sqrt h0))))) (* (sqrt h0) (sqrt (log (sqrt h0)))) (* (sqrt h0) 1) (* (cbrt (sqrt h0)) (log (sqrt h0))) (* (sqrt (cbrt h0)) (log (sqrt h0))) (* (sqrt (sqrt h0)) (log (sqrt h0))) (* (sqrt h0) (log (sqrt h0))) (* (sqrt (sqrt h0)) (log (sqrt h0))) (* (sqrt h0) (log (sqrt h0))) (expm1 (* (sqrt h0) (* (sqrt h0) (log (sqrt h0))))) (log1p (* (sqrt h0) (* (sqrt h0) (log (sqrt h0))))) (* (sqrt h0) (* (sqrt h0) (log (sqrt h0)))) (* (sqrt h0) (* (sqrt h0) (log (sqrt h0)))) (+ (log (sqrt h0)) (+ (log (sqrt h0)) (log (log (sqrt h0))))) (+ (log (sqrt h0)) 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(- (+ (* h1 (/ (log h1) h0)) (- (* h1 (/ 1 h0))))))))))) (- (+ (* h1 (/ 1 (pow h0 2))) (- (+ (* h1 (/ (log h1) (pow h0 2))) (- (+ (* h1 (log h1)) (- (+ (* h1 (/ (log h1) h0)) (- (* h1 (/ 1 h0))))))))))) (- (+ (* (log h0) h0) (* h0 (log h1))) (+ (* h1 (pow h0 2)) (- (* h1 (pow h0 3))))) (- (* h0 (log h1)) (+ h1 (- (* h1 (/ 1 h0))))) (- (+ (* h1 (/ 1 (pow h0 2))) (- (+ (* h1 (/ (log h1) (pow h0 2))) (- (+ (* h1 (log h1)) (- (+ (* h1 (/ (log h1) h0)) (- (* h1 (/ 1 h0))))))))))) (- (+ (* (log h0) h0) (* h0 (log h1))) (+ (* h1 (pow h0 2)) (- (* h1 (pow h0 3))))) (- (* h0 (log h1)) (+ h1 (- (* h1 (/ 1 h0))))) (- (* h0 (log h1)) (+ h1 (- (* h1 (/ 1 h0))))) (- (+ (log h1) (log h0)) (+ (* h1 (pow h0 2)) (- (* h1 h0)))) (- (log h1) (+ (* h1 (/ 1 (pow h0 2))) (- (* h1 (/ 1 h0))))) (- (log h1) (+ (* h1 (/ 1 (pow h0 2))) (- (* h1 (/ 1 h0))))) 2.875 * * [simplify]: iteration 0 : 478 enodes (cost 1034 ) 2.883 * * [simplify]: iteration 1 : 1866 enodes (cost 917 ) 2.919 * * [simplify]: iteration 2 : 5001 enodes (cost 858 ) 2.923 * [simplify]: Simplified to: (expm1 (* (sqrt x) (log (sqrt x)))) (log1p (* (sqrt x) (log (sqrt x)))) (* (sqrt x) (log (sqrt x))) (log (* (sqrt x) (log (sqrt x)))) (log (* (sqrt x) (log (sqrt x)))) (pow (sqrt x) (sqrt x)) (pow (* (sqrt x) (log (sqrt x))) 3) (* (cbrt (* (sqrt x) (log (sqrt x)))) (cbrt (* (sqrt x) (log (sqrt x))))) (cbrt (* (sqrt x) (log (sqrt x)))) (pow (* (sqrt x) (log (sqrt x))) 3) (sqrt (* (sqrt x) (log (sqrt x)))) (sqrt (* (sqrt x) (log (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (log (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (log (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (log (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (log (sqrt x)))) (* (sqrt x) (* 2 (log (cbrt (sqrt x))))) (* (sqrt x) (log (cbrt (sqrt x)))) (* (sqrt x) (log (sqrt (* (cbrt x) (cbrt x))))) (* (sqrt x) (log (sqrt (cbrt x)))) (* (sqrt x) (log (sqrt (sqrt x)))) (* (sqrt x) (log (sqrt (sqrt x)))) 0 (* (sqrt x) (log (sqrt x))) (* (sqrt x) (log (sqrt (sqrt x)))) (* (sqrt x) (log (sqrt (sqrt x)))) 0 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(- (- (* x (log +nan.0)) (/ (- +nan.0) x)) +nan.0) (- (- (* x (log +nan.0)) (/ (- +nan.0) x)) +nan.0) (+ (log x) (- (log +nan.0) (* +nan.0 (- (pow x 2) x)))) (+ (+ (log +nan.0) (/ +nan.0 x)) (/ (- +nan.0) (pow x 2))) (+ (+ (log +nan.0) (/ +nan.0 x)) (/ (- +nan.0) (pow x 2))) 2.923 * * * [progress]: adding candidates to table 3.165 * [progress]: [Phase 3 of 3] Extracting. 3.165 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.166 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.166 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 3.195 * * * [regime]: Found split indices: #