6.807 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.008 * * * [progress]: [2/2] Setting up program. 0.009 * [progress]: [Phase 2 of 3] Improving. 0.010 * [simplify]: Simplifying using # : (+ x (/ 1.0 3.0)) 0.010 * [simplify]: Sending expressions to egg_math: (+ h0 (/ h1 h2)) 0.012 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.013 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.013 * [simplify]: Simplified to: (+ x (/ 1.0 3.0)) 0.013 * * [progress]: iteration 1 / 4 0.013 * * * [progress]: picking best candidate 0.014 * * * * [pick]: Picked # 0.014 * * * [progress]: localizing error 0.017 * * * [progress]: generating rewritten candidates 0.017 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.028 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.030 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.030 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.036 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.036 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.036 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.036 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.043 * * * [progress]: simplifying candidates 0.043 * [simplify]: Simplifying using # : (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.043 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (/ h1 h2))) (log1p (+ h0 (/ h1 h2))) (* (exp h0) (exp (/ h1 h2))) (log (+ h0 (/ h1 h2))) (exp (+ h0 (/ h1 h2))) (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2)))) (cbrt (+ h0 (/ h1 h2))) (* (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (+ (pow h0 3) (pow (/ h1 h2) 3)) (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))) (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))) (- h0 (/ h1 h2)) (+ h0 (/ h1 h2)) (+ h0 h3) (+ h0 h3) (+ h0 h3) 0.046 * * [simplify]: iteration 0 : 82 enodes (cost 61 ) 0.048 * * [simplify]: iteration 1 : 218 enodes (cost 55 ) 0.051 * * [simplify]: iteration 2 : 532 enodes (cost 55 ) 0.059 * * [simplify]: iteration 3 : 1514 enodes (cost 55 ) 0.085 * * [simplify]: iteration 4 : 5001 enodes (cost 55 ) 0.086 * [simplify]: Simplified to: (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.086 * * * [progress]: adding candidates to table 0.119 * * [progress]: iteration 2 / 4 0.119 * * * [progress]: picking best candidate 0.120 * * * * [pick]: Picked # 0.120 * * * [progress]: localizing error 0.125 * * * [progress]: generating rewritten candidates 0.125 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.201 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.212 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.227 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.228 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.228 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.228 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.230 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.237 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.243 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.244 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.244 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.246 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.252 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.259 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.259 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.259 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.261 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.261 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.267 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.274 * * * [progress]: simplifying candidates 0.275 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (log1p (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ 1 1) (+ (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0))))) (log (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (exp (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (sqrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (sqrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (- x (/ 1.0 3.0))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0)))) (* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* 1 1) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ x (/ 1.0 3.0))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) 1) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.276 * [simplify]: Sending expressions to egg_math: (expm1 (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (log1p (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (+ 1 1) (+ (log (sqrt (+ h0 (/ h1 h2)))) (log (sqrt (+ h0 (/ h1 h2))))) (log (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (exp (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (* (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2)))) (* (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (sqrt (+ h0 (/ h1 h2))))) (* (cbrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (cbrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))))) (cbrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (* (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (sqrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (sqrt (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3))) (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3)))) (* (sqrt (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2))))) (sqrt (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))))) (* (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3))) (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))))) (* (sqrt (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2))))) (sqrt (- h0 (/ h1 h2)))) (* (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2)))) (sqrt (+ (pow h0 3) (pow (/ h1 h2) 3)))) (* (sqrt (- h0 (/ h1 h2))) (sqrt (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))))) (* (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2)))) (sqrt (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))))) (* (sqrt (- h0 (/ h1 h2))) (sqrt (- h0 (/ h1 h2)))) (* (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (cbrt (sqrt (+ h0 (/ h1 h2))))) (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (cbrt (sqrt (+ h0 (/ h1 h2)))))) (* (cbrt (sqrt (+ h0 (/ h1 h2)))) (cbrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2))))) (sqrt (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2)))))) (* (sqrt (cbrt (+ h0 (/ h1 h2)))) (sqrt (cbrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* (sqrt (sqrt (+ h0 (/ h1 h2)))) (sqrt (sqrt (+ h0 (/ h1 h2))))) (* 1 1) (* (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2)))) (* (sqrt (sqrt (+ h0 (/ 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(/ h1 h2)))) (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))) (- h0 (/ h1 h2)) (+ h0 (/ h1 h2)) (expm1 (+ h0 (/ h1 h2))) (log1p (+ h0 (/ h1 h2))) (* (exp h0) (exp (/ h1 h2))) (log (+ h0 (/ h1 h2))) (exp (+ h0 (/ h1 h2))) (* (cbrt (+ h0 (/ h1 h2))) (cbrt (+ h0 (/ h1 h2)))) (cbrt (+ h0 (/ h1 h2))) (* (* (+ h0 (/ h1 h2)) (+ h0 (/ h1 h2))) (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (sqrt (+ h0 (/ h1 h2))) (+ (pow h0 3) (pow (/ h1 h2) 3)) (+ (* h0 h0) (- (* (/ h1 h2) (/ h1 h2)) (* h0 (/ h1 h2)))) (- (* h0 h0) (* (/ h1 h2) (/ h1 h2))) (- h0 (/ h1 h2)) (+ h0 (/ h1 h2)) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) (+ h0 h3) 0.280 * * [simplify]: iteration 0 : 177 enodes (cost 478 ) 0.284 * * [simplify]: iteration 1 : 666 enodes (cost 428 ) 0.302 * * [simplify]: iteration 2 : 3864 enodes (cost 414 ) 0.435 * * [simplify]: iteration 3 : 5001 enodes (cost 414 ) 0.438 * [simplify]: Simplified to: (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) 1 1 2 1 1 (pow (sqrt (+ x (/ 1.0 3.0))) 4) (+ x (/ 1.0 3.0)) (pow (sqrt (+ x (/ 1.0 3.0))) 4) 2 (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (pow (sqrt (+ x (/ 1.0 3.0))) 4) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 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(cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.438 * * * [progress]: adding candidates to table 0.609 * [progress]: [Phase 3 of 3] Extracting. 0.609 * * [regime]: Finding splitpoints for: (# #) 0.610 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (/ 1.0 3.0)) x) 0.610 * * * * [regimes]: Trying to branch on (+ x (/ 1.0 3.0)) from (# #) 0.620 * * * * [regimes]: Trying to branch on x from (# #) 0.629 * * * [regime]: Found split indices: #