14.404 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (+ (+ x y) x) 0.011 * [simplify]: Sending expressions to egg_math: (+ (+ h0 h1) h0) 0.013 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.016 * * [simplify]: iteration 2 : 12 enodes (cost 2 ) 0.017 * * [simplify]: iteration 3 : 13 enodes (cost 2 ) 0.018 * * [simplify]: iteration 4 : 13 enodes (cost 2 ) 0.018 * [simplify]: Simplified to: (+ (+ x y) x) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.049 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.049 * [taylor]: Taking taylor expansion of 2 in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.049 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.049 * [taylor]: Taking taylor expansion of 2 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.049 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.049 * [taylor]: Taking taylor expansion of 2 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 2 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of 2 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of 2 in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of 2 in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of 2 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.063 * [taylor]: Taking taylor expansion of 2 in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 2 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of 2 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of -2 in y 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.072 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying using # : (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.072 * [simplify]: Sending expressions to egg_math: (* (* (exp h0) (exp h1)) (exp h0)) (* (exp (+ h0 h1)) (exp h0)) (log (+ (+ h0 h1) h0)) (exp (+ (+ h0 h1) h0)) (* (cbrt (+ (+ h0 h1) h0)) (cbrt (+ (+ h0 h1) h0))) (cbrt (+ (+ h0 h1) h0)) (* (* (+ (+ h0 h1) h0) (+ (+ h0 h1) h0)) (+ (+ h0 h1) h0)) (sqrt (+ (+ h0 h1) h0)) (sqrt (+ (+ h0 h1) h0)) (+ (pow (+ h0 h1) 3) (pow h0 3)) (+ (* (+ h0 h1) (+ h0 h1)) (- (* h0 h0) (* (+ h0 h1) h0))) (- (* (+ h0 h1) (+ h0 h1)) (* h0 h0)) (- (+ h0 h1) h0) (+ (+ h0 h1) h0) (+ (+ h0 h1) h0) (+ h1 h0) (+ (* 2 h0) h1) (+ (* 2 h0) h1) (+ (* 2 h0) h1) 0.075 * * [simplify]: iteration 0 : 82 enodes (cost 65 ) 0.077 * * [simplify]: iteration 1 : 241 enodes (cost 60 ) 0.082 * * [simplify]: iteration 2 : 854 enodes (cost 58 ) 0.101 * * [simplify]: iteration 3 : 4535 enodes (cost 53 ) 0.168 * * [simplify]: iteration 4 : 5002 enodes (cost 53 ) 0.169 * [simplify]: Simplified to: (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)) (* y (+ (+ x y) x)) y (+ (+ x y) x) (+ (+ x y) x) (+ x y) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) 0.169 * * * [progress]: adding candidates to table 0.187 * * [progress]: iteration 2 / 4 0.187 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.196 * * * [progress]: generating rewritten candidates 0.196 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.228 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.253 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.294 * * * [progress]: generating series expansions 0.294 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.294 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.294 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.294 * [taylor]: Taking taylor expansion of 2 in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.294 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.294 * [taylor]: Taking taylor expansion of 2 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.294 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.294 * [taylor]: Taking taylor expansion of 2 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of 2 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.297 * [taylor]: Taking taylor expansion of 2 in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of 2 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of 2 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 2 in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [approximate]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.305 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.305 * [taylor]: Taking taylor expansion of -1 in y 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.306 * [taylor]: Taking taylor expansion of 2 in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.306 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.306 * [taylor]: Taking taylor expansion of -1 in x 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of 2 in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.307 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.307 * [taylor]: Taking taylor expansion of -1 in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of 2 in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (* 2 (cbrt -1)) in y 0.309 * [taylor]: Taking taylor expansion of 2 in y 0.309 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.309 * [taylor]: Taking taylor expansion of -1 in y 0.311 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 0.311 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.311 * [taylor]: Taking taylor expansion of -1 in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.327 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.327 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.328 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.328 * [taylor]: Taking taylor expansion of 2 in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.328 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.328 * [taylor]: Taking taylor expansion of 2 in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.328 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.328 * [taylor]: Taking taylor expansion of 2 in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 2 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.331 * [taylor]: Taking taylor expansion of 2 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of 2 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of 2 in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 2 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.339 * [taylor]: Taking taylor expansion of 2 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of 2 in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of 2 in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of -2 in y 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.352 * [approximate]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in (x y) around 0 0.352 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in y 0.352 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.352 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.352 * [taylor]: Taking taylor expansion of 2 in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in x 0.352 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.352 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.352 * [taylor]: Taking taylor expansion of 2 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in x 0.352 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.352 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.352 * [taylor]: Taking taylor expansion of 2 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (* 6 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of 6 in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (* 12 y) in y 0.355 * [taylor]: Taking taylor expansion of 12 in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of 8 in y 0.358 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 3) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 3) in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.358 * [taylor]: Taking taylor expansion of 2 in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 3) in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of 2 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 3) in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of 2 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 8 in y 0.362 * [taylor]: Taking taylor expansion of (* 12 (/ 1 y)) in y 0.362 * [taylor]: Taking taylor expansion of 12 in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.364 * [taylor]: Taking taylor expansion of 6 in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.369 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 y) (* 2 (/ 1 x)))) 3) in (x y) around 0 0.369 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 y) (* 2 (/ 1 x)))) 3) in y 0.369 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.369 * [taylor]: Taking taylor expansion of 2 in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.370 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 y) (* 2 (/ 1 x)))) 3) in x 0.370 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.370 * [taylor]: Taking taylor expansion of 2 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 y) (* 2 (/ 1 x)))) 3) in x 0.371 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.371 * [taylor]: Taking taylor expansion of 2 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of -8 in y 0.374 * [taylor]: Taking taylor expansion of (- (* 12 (/ 1 y))) in y 0.375 * [taylor]: Taking taylor expansion of (* 12 (/ 1 y)) in y 0.375 * [taylor]: Taking taylor expansion of 12 in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 (pow y 2)))) in y 0.378 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of 6 in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.385 * * * [progress]: simplifying candidates 0.386 * [simplify]: Simplifying using # : (log (cbrt (pow (+ (+ x y) x) 3))) (exp (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3)) (cbrt (pow (cbrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (cbrt (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3)))) (cbrt (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3)) (cbrt (pow (cbrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt 1) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) (/ 3 2))) (cbrt (pow (+ (+ x y) x) (/ 3 2))) (cbrt (pow (+ (pow (+ x y) 3) (pow x 3)) 3)) (cbrt (pow (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) 3)) (cbrt (pow (- (* (+ x y) (+ x y)) (* x x)) 3)) (cbrt (pow (- (+ x y) x) 3)) (* (cbrt (cbrt (pow (+ (+ x y) x) 3))) (cbrt (cbrt (pow (+ (+ x y) x) 3)))) (cbrt (cbrt (pow (+ (+ x y) x) 3))) (* (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (+ (+ x y) x) 3))) (sqrt (cbrt (pow (+ (+ x y) x) 3))) (sqrt (cbrt (pow (+ (+ x y) x) 3))) (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (* (log (+ (+ x y) x)) 3) (* (log (+ (+ x y) x)) 3) (* 1 3) (pow (+ (+ x y) x) (* (cbrt 3) (cbrt 3))) (pow (+ (+ x y) x) (sqrt 3)) (pow (+ (+ x y) x) 1) (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3) (pow (cbrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (* (+ (+ x y) x) (+ (+ x y) x)) (log (pow (+ (+ x y) x) 3)) (exp (pow (+ (+ x y) x) 3)) (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (+ (+ x y) x) 3)) (* (* (pow (+ (+ x y) x) 3) (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) 3)) (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3) (pow (cbrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow (+ (pow (+ x y) 3) (pow x 3)) 3) (pow (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) 3) (pow (- (* (+ x y) (+ x y)) (* x x)) 3) (pow (- (+ x y) x) 3) (* (+ (+ x y) x) (+ (+ x y) x)) (sqrt (pow (+ (+ x y) x) 3)) (sqrt (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) (/ 3 2)) (pow (+ (+ x y) x) (/ 3 2)) (+ (* 2 x) y) (+ (* 2 x) y) (- (+ (* 2 (* (cbrt -1) x)) (* (cbrt -1) y))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (* 8 (pow x 3)))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (pow y 3))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (pow y 3))) 0.387 * [simplify]: Sending expressions to egg_math: (log (cbrt (pow (+ (+ h0 h1) h0) 3))) (exp (cbrt (pow (+ (+ h0 h1) h0) 3))) (cbrt (pow (* (cbrt (+ (+ h0 h1) h0)) (cbrt (+ (+ h0 h1) h0))) 3)) (cbrt (pow (cbrt (+ (+ h0 h1) h0)) 3)) (cbrt (pow (sqrt (+ (+ h0 h1) h0)) 3)) (cbrt (pow (sqrt (+ (+ h0 h1) h0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (* (+ (+ h0 h1) h0) (+ (+ h0 h1) h0))) (cbrt (+ (+ h0 h1) h0)) (cbrt (* (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (pow (+ (+ h0 h1) h0) 3)))) (cbrt (cbrt (pow (+ (+ h0 h1) h0) 3))) (cbrt (pow (* (cbrt (+ (+ h0 h1) h0)) (cbrt (+ (+ h0 h1) h0))) 3)) (cbrt (pow (cbrt (+ (+ h0 h1) h0)) 3)) (cbrt (pow (sqrt (+ (+ h0 h1) h0)) 3)) (cbrt (pow (sqrt (+ (+ h0 h1) h0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (+ (+ h0 h1) h0)) (cbrt (* (+ (+ h0 h1) h0) (+ (+ h0 h1) h0))) (cbrt (sqrt (pow (+ (+ h0 h1) h0) 3))) (cbrt (sqrt (pow (+ (+ h0 h1) h0) 3))) (cbrt 1) (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (pow (+ (+ h0 h1) h0) (/ 3 2))) (cbrt (pow (+ (+ h0 h1) h0) (/ 3 2))) (cbrt (pow (+ (pow (+ h0 h1) 3) (pow h0 3)) 3)) (cbrt (pow (+ (* (+ h0 h1) (+ h0 h1)) (- (* h0 h0) (* (+ h0 h1) h0))) 3)) (cbrt (pow (- (* (+ h0 h1) (+ h0 h1)) (* h0 h0)) 3)) (cbrt (pow (- (+ h0 h1) h0) 3)) (* (cbrt (cbrt (pow (+ (+ h0 h1) h0) 3))) (cbrt (cbrt (pow (+ (+ h0 h1) h0) 3)))) (cbrt (cbrt (pow (+ (+ h0 h1) h0) 3))) (* (* (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (pow (+ (+ h0 h1) h0) 3))) (cbrt (pow (+ (+ h0 h1) h0) 3))) (sqrt (cbrt (pow (+ (+ h0 h1) h0) 3))) (sqrt (cbrt (pow (+ (+ h0 h1) h0) 3))) (* (* (exp h0) (exp h1)) (exp h0)) (* (exp (+ h0 h1)) (exp h0)) (log (+ (+ h0 h1) h0)) (exp (+ (+ h0 h1) h0)) (* (cbrt (+ (+ h0 h1) h0)) (cbrt (+ (+ h0 h1) h0))) (cbrt (+ (+ h0 h1) h0)) (* (* (+ (+ h0 h1) h0) (+ (+ h0 h1) h0)) (+ (+ h0 h1) h0)) (sqrt (+ (+ h0 h1) h0)) (sqrt (+ (+ h0 h1) h0)) (+ (pow (+ h0 h1) 3) (pow h0 3)) (+ (* (+ h0 h1) (+ h0 h1)) (- (* h0 h0) (* (+ h0 h1) h0))) (- (* (+ h0 h1) (+ h0 h1)) (* h0 h0)) (- (+ h0 h1) h0) (+ (+ h0 h1) h0) (+ (+ h0 h1) h0) (+ h1 h0) (* (log (+ (+ h0 h1) h0)) 3) (* (log (+ (+ h0 h1) h0)) 3) (* 1 3) (pow (+ (+ h0 h1) h0) (* (cbrt 3) (cbrt 3))) (pow (+ (+ h0 h1) h0) (sqrt 3)) (pow (+ (+ h0 h1) h0) 1) (pow (* (cbrt (+ (+ h0 h1) h0)) (cbrt (+ (+ h0 h1) h0))) 3) (pow (cbrt (+ (+ h0 h1) h0)) 3) (pow (sqrt (+ (+ h0 h1) h0)) 3) (pow (sqrt (+ (+ h0 h1) h0)) 3) (pow 1 3) (pow (+ (+ h0 h1) h0) 3) (pow 1 3) (pow (+ (+ h0 h1) h0) 3) (pow 1 3) (pow (+ (+ h0 h1) h0) 3) (* (+ (+ h0 h1) h0) (+ (+ h0 h1) h0)) (log (pow (+ (+ h0 h1) h0) 3)) (exp (pow (+ (+ h0 h1) h0) 3)) (* (cbrt (pow (+ (+ h0 h1) h0) 3)) (cbrt (pow (+ (+ h0 h1) h0) 3))) (cbrt (pow (+ (+ h0 h1) h0) 3)) (* (* (pow (+ (+ h0 h1) h0) 3) (pow (+ (+ h0 h1) h0) 3)) (pow (+ (+ h0 h1) h0) 3)) (pow (* (cbrt (+ (+ h0 h1) h0)) (cbrt (+ (+ h0 h1) h0))) 3) (pow (cbrt (+ (+ h0 h1) h0)) 3) (pow (sqrt (+ (+ h0 h1) h0)) 3) (pow (sqrt (+ (+ h0 h1) h0)) 3) (pow 1 3) (pow (+ (+ h0 h1) h0) 3) (pow 1 3) (pow (+ (+ h0 h1) h0) 3) (pow 1 3) (pow (+ (+ h0 h1) h0) 3) (pow (+ (pow (+ h0 h1) 3) (pow h0 3)) 3) (pow (+ (* (+ h0 h1) (+ h0 h1)) (- (* h0 h0) (* (+ h0 h1) h0))) 3) (pow (- (* (+ h0 h1) (+ h0 h1)) (* h0 h0)) 3) (pow (- (+ h0 h1) h0) 3) (* (+ (+ h0 h1) h0) (+ (+ h0 h1) h0)) (sqrt (pow (+ (+ h0 h1) h0) 3)) (sqrt (pow (+ (+ h0 h1) h0) 3)) (pow (+ (+ h0 h1) h0) (/ 3 2)) (pow (+ (+ h0 h1) h0) (/ 3 2)) (+ (* 2 h0) h1) (+ (* 2 h0) h1) (- (+ (* 2 (* (cbrt -1) h0)) (* (cbrt -1) h1))) (+ (* 2 h0) h1) (+ (* 2 h0) h1) (+ (* 2 h0) h1) (+ (* 6 (* h0 (pow h1 2))) (+ (* 12 (* (pow h0 2) h1)) (* 8 (pow h0 3)))) (+ (* 6 (* h0 (pow h1 2))) (+ (* 12 (* (pow h0 2) h1)) (pow h1 3))) (+ (* 6 (* h0 (pow h1 2))) (+ (* 12 (* (pow h0 2) h1)) (pow h1 3))) 0.391 * * [simplify]: iteration 0 : 246 enodes (cost 366 ) 0.396 * * [simplify]: iteration 1 : 1055 enodes (cost 352 ) 0.421 * * [simplify]: iteration 2 : 5001 enodes (cost 342 ) 0.423 * [simplify]: Simplified to: (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) 1 (+ (+ x y) x) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (- (+ x y) x)) (pow x 2)) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (- (+ x y) x)) (pow x 2)) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ x y) (log (pow (+ (+ x y) x) 3)) (log (pow (+ (+ x y) x) 3)) 3 (pow (+ (+ x y) x) (* (cbrt 3) (cbrt 3))) (pow (+ (+ x y) x) (sqrt 3)) (+ (+ x y) x) (pow (+ (+ x y) x) 2) (+ (+ x y) x) (pow (+ (+ x y) x) 3/2) (pow (+ (+ x y) x) 3/2) 1 (pow (+ (+ x y) x) 3) 1 (pow (+ (+ x y) x) 3) 1 (pow (+ (+ x y) x) 3) (pow (+ (+ x y) x) 2) (log (pow (+ (+ x y) x) 3)) (exp (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) 2) (+ (+ x y) x) (pow (pow (+ (+ x y) x) 3) 3) (pow (+ (+ x y) x) 2) (+ (+ x y) x) (pow (+ (+ x y) x) 3/2) (pow (+ (+ x y) x) 3/2) 1 (pow (+ (+ x y) x) 3) 1 (pow (+ (+ x y) x) 3) 1 (pow (+ (+ x y) x) 3) (pow (+ (pow (+ x y) 3) (pow x 3)) 3) (pow (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))) 3) (pow (- (* (+ x y) (+ x y)) (* x x)) 3) (pow (- (+ x y) x) 3) (pow (+ (+ x y) x) 2) (sqrt (pow (+ (+ x y) x) 3)) (sqrt (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) 3/2) (pow (+ (+ x y) x) 3/2) (+ (+ x y) x) (+ (+ x y) x) (- (+ (* 2 (* (cbrt -1) x)) (* (cbrt -1) y))) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (* 8 (pow x 3)))) (+ (* (pow y 2) (+ y (* 6 x))) (* 12 (* (pow x 2) y))) (+ (* (pow y 2) (+ y (* 6 x))) (* 12 (* (pow x 2) y))) 0.423 * * * [progress]: adding candidates to table 0.519 * * [progress]: iteration 3 / 4 0.519 * * * [progress]: picking best candidate 0.521 * * * * [pick]: Picked # 0.521 * * * [progress]: localizing error 0.529 * * * [progress]: generating rewritten candidates 0.529 * * * [progress]: generating series expansions 0.529 * * * [progress]: simplifying candidates 0.529 * [simplify]: Simplifying using # : 0.529 * [simplify]: Sending expressions to egg_math: 0.531 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.532 * [simplify]: Simplified to: 0.532 * * * [progress]: adding candidates to table 0.532 * [progress]: [Phase 3 of 3] Extracting. 0.534 * [simplify]: Simplifying using # : (- (+ (* 2 (* (cbrt -1) x)) (* (cbrt -1) y))) 0.534 * [simplify]: Sending expressions to egg_math: (- (+ (* 2 (* (cbrt -1) h0)) (* (cbrt -1) h1))) 0.535 * * [simplify]: iteration 0 : 17 enodes (cost 7 ) 0.535 * * [simplify]: iteration 1 : 30 enodes (cost 7 ) 0.535 * * [simplify]: iteration 2 : 35 enodes (cost 7 ) 0.536 * * [simplify]: iteration 3 : 35 enodes (cost 7 ) 0.536 * [simplify]: Simplified to: (- (+ (* 2 (* (cbrt -1) x)) (* (cbrt -1) y))) 0.866 * [regime-testing]: End program error score: 0 0.882 * [regime-testing]: Target error score: 0