28.843 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (+ x (/ (- x y) 2.0)) 0.016 * [simplify]: Sending expressions to egg_math: (+ h0 (/ (- h0 h1) h2)) 0.018 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 19 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 29 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 41 enodes (cost 3 ) 0.024 * * [simplify]: iteration 4 : 51 enodes (cost 3 ) 0.025 * * [simplify]: iteration 5 : 79 enodes (cost 3 ) 0.027 * * [simplify]: iteration 6 : 134 enodes (cost 3 ) 0.029 * * [simplify]: iteration 7 : 169 enodes (cost 3 ) 0.030 * * [simplify]: iteration 8 : 185 enodes (cost 3 ) 0.032 * * [simplify]: iteration 9 : 213 enodes (cost 3 ) 0.034 * * [simplify]: iteration 10 : 226 enodes (cost 3 ) 0.036 * * [simplify]: iteration 11 : 226 enodes (cost 3 ) 0.036 * [simplify]: Simplified to: (+ x (/ (- x y) 2.0)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.064 * [approximate]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in y 0.064 * [taylor]: Taking taylor expansion of (* 1.5 x) in y 0.064 * [taylor]: Taking taylor expansion of 1.5 in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in x 0.064 * [taylor]: Taking taylor expansion of (* 1.5 x) in x 0.064 * [taylor]: Taking taylor expansion of 1.5 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (- (* 1.5 x) (* 0.5 y)) in x 0.064 * [taylor]: Taking taylor expansion of (* 1.5 x) in x 0.064 * [taylor]: Taking taylor expansion of 1.5 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.065 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 1.5 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [approximate]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in y 0.072 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in y 0.072 * [taylor]: Taking taylor expansion of 1.5 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of 0.5 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in x 0.072 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of 1.5 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 x)) (* 0.5 (/ 1 y))) in x 0.073 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of 1.5 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of 1.5 in y 0.074 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of 0.5 in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in y 0.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.083 * [taylor]: Taking taylor expansion of 0.5 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in y 0.084 * [taylor]: Taking taylor expansion of 1.5 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in x 0.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.084 * [taylor]: Taking taylor expansion of 0.5 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of 1.5 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 1.5 (/ 1 x))) in x 0.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.084 * [taylor]: Taking taylor expansion of 0.5 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of 1.5 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (- 1.5) in y 0.085 * [taylor]: Taking taylor expansion of 1.5 in y 0.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of 0.5 in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * * * [progress]: simplifying candidates 0.096 * [simplify]: Simplifying using # : (expm1 (+ x (/ (- x y) 2.0))) (log1p (+ x (/ (- x y) 2.0))) (* (exp x) (exp (/ (- x y) 2.0))) (log (+ x (/ (- x y) 2.0))) (exp (+ x (/ (- x y) 2.0))) (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (+ x (/ (- x y) 2.0))) (* (* (+ x (/ (- x y) 2.0)) (+ x (/ (- x y) 2.0))) (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))) (+ (pow x 3) (pow (/ (- x y) 2.0) 3)) (+ (* x x) (- (* (/ (- x y) 2.0) (/ (- x y) 2.0)) (* x (/ (- x y) 2.0)))) (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)) (+ x (/ (- x y) 2.0)) (+ x (/ x 2.0)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) 0.096 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (/ (- h0 h1) h2))) (log1p (+ h0 (/ (- h0 h1) h2))) (* (exp h0) (exp (/ (- h0 h1) h2))) (log (+ h0 (/ (- h0 h1) h2))) (exp (+ h0 (/ (- h0 h1) h2))) (* (cbrt (+ h0 (/ (- h0 h1) h2))) (cbrt (+ h0 (/ (- h0 h1) h2)))) (cbrt (+ h0 (/ (- h0 h1) h2))) (* (* (+ h0 (/ (- h0 h1) h2)) (+ h0 (/ (- h0 h1) h2))) (+ h0 (/ (- h0 h1) h2))) (sqrt (+ h0 (/ (- h0 h1) h2))) (sqrt (+ h0 (/ (- h0 h1) h2))) (+ (pow h0 3) (pow (/ (- h0 h1) h2) 3)) (+ (* h0 h0) (- (* (/ (- h0 h1) h2) (/ (- h0 h1) h2)) (* h0 (/ (- h0 h1) h2)))) (- (* h0 h0) (* (/ (- h0 h1) h2) (/ (- h0 h1) h2))) (- h0 (/ (- h0 h1) h2)) (+ h0 (/ (- h0 h1) h2)) (+ h0 (/ h0 h2)) (- (* h3 h0) (* h4 h1)) (- (* h3 h0) (* h4 h1)) (- (* h3 h0) (* h4 h1)) 0.101 * * [simplify]: iteration 0 : 97 enodes (cost 89 ) 0.103 * * [simplify]: iteration 1 : 261 enodes (cost 81 ) 0.108 * * [simplify]: iteration 2 : 773 enodes (cost 81 ) 0.124 * * [simplify]: iteration 3 : 3727 enodes (cost 81 ) 0.175 * * [simplify]: iteration 4 : 5001 enodes (cost 80 ) 0.176 * [simplify]: Simplified to: (expm1 (+ x (/ (- x y) 2.0))) (log1p (+ x (/ (- x y) 2.0))) (exp (+ x (/ (- x y) 2.0))) (log (+ x (/ (- x y) 2.0))) (exp (+ x (/ (- x y) 2.0))) (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (+ x (/ (- x y) 2.0))) (pow (+ x (/ (- x y) 2.0)) 3) (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))) (+ (pow x 3) (pow (/ (- x y) 2.0) 3)) (fma (/ (- x y) 2.0) (- (/ (- x y) 2.0) x) (* x x)) (fma (/ (- x y) (* 2.0 2.0)) (- y x) (* x x)) (- x (/ (- x y) 2.0)) (+ x (/ (- x y) 2.0)) (+ x (/ x 2.0)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) 0.177 * * * [progress]: adding candidates to table 0.212 * * [progress]: iteration 2 / 4 0.212 * * * [progress]: picking best candidate 0.220 * * * * [pick]: Picked # 0.220 * * * [progress]: localizing error 0.231 * * * [progress]: generating rewritten candidates 0.231 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.233 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.234 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.247 * * * [progress]: generating series expansions 0.247 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.247 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.247 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.247 * [taylor]: Taking taylor expansion of 1/3 in x 0.247 * [taylor]: Taking taylor expansion of (log x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.248 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.248 * [taylor]: Taking taylor expansion of 1/3 in x 0.248 * [taylor]: Taking taylor expansion of (log x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.294 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.294 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.294 * [taylor]: Taking taylor expansion of 1/3 in x 0.294 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of 1/3 in x 0.295 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.350 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.350 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.351 * [taylor]: Taking taylor expansion of 1/3 in x 0.351 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.352 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.352 * [taylor]: Taking taylor expansion of -1 in x 0.353 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of 1/3 in x 0.353 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.417 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.417 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.417 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.417 * [taylor]: Taking taylor expansion of 1/3 in x 0.417 * [taylor]: Taking taylor expansion of (log x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.418 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.418 * [taylor]: Taking taylor expansion of 1/3 in x 0.418 * [taylor]: Taking taylor expansion of (log x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.469 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.469 * [taylor]: Taking taylor expansion of 1/3 in x 0.469 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.470 * [taylor]: Taking taylor expansion of 1/3 in x 0.470 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.517 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.518 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.518 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.518 * [taylor]: Taking taylor expansion of 1/3 in x 0.518 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.519 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of 1/3 in x 0.520 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.583 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.583 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.583 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.583 * [taylor]: Taking taylor expansion of 1/3 in x 0.583 * [taylor]: Taking taylor expansion of (log x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.584 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.584 * [taylor]: Taking taylor expansion of 1/3 in x 0.584 * [taylor]: Taking taylor expansion of (log x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.634 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.635 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of 1/3 in x 0.635 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of 1/3 in x 0.635 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.688 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.688 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.688 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.688 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.689 * [taylor]: Taking taylor expansion of 1/3 in x 0.689 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.689 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.690 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of 1/3 in x 0.690 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.752 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.752 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.752 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.752 * [taylor]: Taking taylor expansion of 1/3 in x 0.752 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.753 * [taylor]: Taking taylor expansion of 1/3 in x 0.753 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.801 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.801 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.801 * [taylor]: Taking taylor expansion of 1/3 in x 0.801 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.802 * [taylor]: Taking taylor expansion of 1/3 in x 0.802 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.858 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.858 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.858 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.858 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.858 * [taylor]: Taking taylor expansion of -1 in x 0.859 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.859 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.859 * [taylor]: Taking taylor expansion of 1/3 in x 0.859 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.860 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.860 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.860 * [taylor]: Taking taylor expansion of -1 in x 0.860 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.860 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.860 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.860 * [taylor]: Taking taylor expansion of 1/3 in x 0.860 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.932 * * * [progress]: simplifying candidates 0.933 * [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)) 0.933 * [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)) 0.937 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 0.940 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 0.953 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.017 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.018 * [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)) 1.019 * * * [progress]: adding candidates to table 1.221 * * [progress]: iteration 3 / 4 1.221 * * * [progress]: picking best candidate 1.228 * * * * [pick]: Picked # 1.228 * * * [progress]: localizing error 1.240 * * * [progress]: generating rewritten candidates 1.240 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.241 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 1.242 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1.242 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 1.244 * * * [progress]: generating series expansions 1.244 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.244 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.244 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.244 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.244 * [taylor]: Taking taylor expansion of 1/3 in x 1.244 * [taylor]: Taking taylor expansion of (log x) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.245 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.245 * [taylor]: Taking taylor expansion of 1/3 in x 1.245 * [taylor]: Taking taylor expansion of (log x) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.293 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 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 1.294 * [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 1.347 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.347 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.347 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.347 * [taylor]: Taking taylor expansion of -1 in x 1.347 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.348 * [taylor]: Taking taylor expansion of 1/3 in x 1.348 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.348 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.348 * [taylor]: Taking taylor expansion of -1 in x 1.349 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.349 * [taylor]: Taking taylor expansion of 1/3 in x 1.349 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.412 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 1.412 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.412 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.412 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.412 * [taylor]: Taking taylor expansion of 1/3 in x 1.412 * [taylor]: Taking taylor expansion of (log x) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.413 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.413 * [taylor]: Taking taylor expansion of 1/3 in x 1.413 * [taylor]: Taking taylor expansion of (log x) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.458 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.458 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.458 * [taylor]: Taking taylor expansion of 1/3 in x 1.458 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.459 * [taylor]: Taking taylor expansion of 1/3 in x 1.459 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.515 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.515 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.515 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.515 * [taylor]: Taking taylor expansion of -1 in x 1.516 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.516 * [taylor]: Taking taylor expansion of 1/3 in x 1.516 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.517 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.517 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.517 * [taylor]: Taking taylor expansion of -1 in x 1.518 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.518 * [taylor]: Taking taylor expansion of 1/3 in x 1.518 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.585 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.585 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.585 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.585 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.585 * [taylor]: Taking taylor expansion of 1/3 in x 1.585 * [taylor]: Taking taylor expansion of (log x) in x 1.585 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.586 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.586 * [taylor]: Taking taylor expansion of 1/3 in x 1.586 * [taylor]: Taking taylor expansion of (log x) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.641 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.641 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.641 * [taylor]: Taking taylor expansion of 1/3 in x 1.641 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.642 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.642 * [taylor]: Taking taylor expansion of 1/3 in x 1.642 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.642 * [taylor]: Taking taylor expansion of x in x 1.692 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.692 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.692 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.692 * [taylor]: Taking taylor expansion of -1 in x 1.693 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.693 * [taylor]: Taking taylor expansion of 1/3 in x 1.693 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.694 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.694 * [taylor]: Taking taylor expansion of -1 in x 1.695 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.695 * [taylor]: Taking taylor expansion of 1/3 in x 1.695 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.759 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 1.760 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.760 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.760 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.760 * [taylor]: Taking taylor expansion of 1/3 in x 1.760 * [taylor]: Taking taylor expansion of (log x) in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.760 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.760 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.760 * [taylor]: Taking taylor expansion of 1/3 in x 1.760 * [taylor]: Taking taylor expansion of (log x) in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.811 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.811 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.811 * [taylor]: Taking taylor expansion of 1/3 in x 1.811 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.811 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.811 * [taylor]: Taking taylor expansion of 1/3 in x 1.812 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.865 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.865 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.865 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.865 * [taylor]: Taking taylor expansion of -1 in x 1.866 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.866 * [taylor]: Taking taylor expansion of 1/3 in x 1.866 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.867 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.867 * [taylor]: Taking taylor expansion of -1 in x 1.867 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.867 * [taylor]: Taking taylor expansion of 1/3 in x 1.867 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.924 * * * [progress]: simplifying candidates 1.925 * [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)) (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)) (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 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.925 * [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)) (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)) (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 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 1.928 * * [simplify]: iteration 0 : 42 enodes (cost 172 ) 1.929 * * [simplify]: iteration 1 : 83 enodes (cost 160 ) 1.931 * * [simplify]: iteration 2 : 195 enodes (cost 152 ) 1.936 * * [simplify]: iteration 3 : 699 enodes (cost 152 ) 1.955 * * [simplify]: iteration 4 : 4132 enodes (cost 152 ) 2.046 * * [simplify]: iteration 5 : 5001 enodes (cost 152 ) 2.053 * [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)) (cbrt 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)) (cbrt 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)) (cbrt 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)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (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 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.053 * * * [progress]: adding candidates to table 2.244 * * [progress]: iteration 4 / 4 2.244 * * * [progress]: picking best candidate 2.249 * * * * [pick]: Picked # 2.250 * * * [progress]: localizing error 2.259 * * * [progress]: generating rewritten candidates 2.259 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.261 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.262 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.263 * * * [progress]: generating series expansions 2.263 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.263 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 2.263 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.263 * [taylor]: Taking taylor expansion of 1/3 in x 2.263 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.263 * [taylor]: Taking taylor expansion of x in x 2.264 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.264 * [taylor]: Taking taylor expansion of 1/3 in x 2.264 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.264 * [taylor]: Taking taylor expansion of x in x 2.315 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 2.315 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.315 * [taylor]: Taking taylor expansion of 1/3 in x 2.315 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.315 * [taylor]: Taking taylor expansion of x in x 2.316 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.316 * [taylor]: Taking taylor expansion of 1/3 in x 2.316 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.316 * [taylor]: Taking taylor expansion of x in x 2.373 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 2.373 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.373 * [taylor]: Taking taylor expansion of 1/3 in x 2.373 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.374 * [taylor]: Taking taylor expansion of 1/3 in x 2.374 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.429 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.429 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.429 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.429 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.429 * [taylor]: Taking taylor expansion of 1/3 in x 2.429 * [taylor]: Taking taylor expansion of (log x) in x 2.429 * [taylor]: Taking taylor expansion of x in x 2.430 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.430 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.430 * [taylor]: Taking taylor expansion of 1/3 in x 2.430 * [taylor]: Taking taylor expansion of (log x) in x 2.430 * [taylor]: Taking taylor expansion of x in x 2.474 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.474 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.474 * [taylor]: Taking taylor expansion of 1/3 in x 2.474 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.475 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.475 * [taylor]: Taking taylor expansion of 1/3 in x 2.475 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.475 * [taylor]: Taking taylor expansion of x in x 2.527 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.527 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.527 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.527 * [taylor]: Taking taylor expansion of -1 in x 2.528 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.528 * [taylor]: Taking taylor expansion of 1/3 in x 2.528 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.529 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.529 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.529 * [taylor]: Taking taylor expansion of -1 in x 2.529 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.530 * [taylor]: Taking taylor expansion of 1/3 in x 2.530 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.530 * [taylor]: Taking taylor expansion of x in x 2.591 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.592 * [approximate]: Taking taylor expansion of (fma (pow (pow x 2) 1/3) (pow x 1/3) (* 0.5 (- x y))) in (x y) around 0 2.592 * [taylor]: Taking taylor expansion of (fma (pow (pow x 2) 1/3) (pow x 1/3) (* 0.5 (- x y))) in y 2.592 * [taylor]: Rewrote expression to (+ (* (pow (pow x 2) 1/3) (pow x 1/3)) (* 0.5 (- x y))) 2.592 * [taylor]: Taking taylor expansion of (* (pow (pow x 2) 1/3) (pow x 1/3)) in y 2.592 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in y 2.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in y 2.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in y 2.592 * [taylor]: Taking taylor expansion of 1/3 in y 2.592 * [taylor]: Taking taylor expansion of (log (pow x 2)) in y 2.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.592 * [taylor]: Taking taylor expansion of x in y 2.592 * [taylor]: Taking taylor expansion of (pow x 1/3) in y 2.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in y 2.592 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in y 2.592 * [taylor]: Taking taylor expansion of 1/3 in y 2.592 * [taylor]: Taking taylor expansion of (log x) in y 2.592 * [taylor]: Taking taylor expansion of x in y 2.592 * [taylor]: Taking taylor expansion of (* 0.5 (- x y)) in y 2.592 * [taylor]: Taking taylor expansion of 0.5 in y 2.592 * [taylor]: Taking taylor expansion of (- x y) in y 2.592 * [taylor]: Taking taylor expansion of x in y 2.592 * [taylor]: Taking taylor expansion of y in y 2.592 * [taylor]: Taking taylor expansion of (fma (pow (pow x 2) 1/3) (pow x 1/3) (* 0.5 (- x y))) in x 2.592 * [taylor]: Rewrote expression to (+ (* (pow (pow x 2) 1/3) (pow x 1/3)) (* 0.5 (- x y))) 2.592 * [taylor]: Taking taylor expansion of (* (pow (pow x 2) 1/3) (pow x 1/3)) in x 2.592 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.593 * [taylor]: Taking taylor expansion of 1/3 in x 2.593 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.593 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.593 * [taylor]: Taking taylor expansion of 1/3 in x 2.593 * [taylor]: Taking taylor expansion of (log x) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of (* 0.5 (- x y)) in x 2.594 * [taylor]: Taking taylor expansion of 0.5 in x 2.594 * [taylor]: Taking taylor expansion of (- x y) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of y in x 2.594 * [taylor]: Taking taylor expansion of (fma (pow (pow x 2) 1/3) (pow x 1/3) (* 0.5 (- x y))) in x 2.594 * [taylor]: Rewrote expression to (+ (* (pow (pow x 2) 1/3) (pow x 1/3)) (* 0.5 (- x y))) 2.594 * [taylor]: Taking taylor expansion of (* (pow (pow x 2) 1/3) (pow x 1/3)) in x 2.594 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.594 * [taylor]: Taking taylor expansion of 1/3 in x 2.594 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.595 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.595 * [taylor]: Taking taylor expansion of 1/3 in x 2.595 * [taylor]: Taking taylor expansion of (log x) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of (* 0.5 (- x y)) in x 2.596 * [taylor]: Taking taylor expansion of 0.5 in x 2.596 * [taylor]: Taking taylor expansion of (- x y) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.596 * [taylor]: Taking taylor expansion of y in x 2.596 * [taylor]: Taking taylor expansion of (- x (* 0.5 y)) in y 2.596 * [taylor]: Taking taylor expansion of x in y 2.596 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 2.596 * [taylor]: Taking taylor expansion of 0.5 in y 2.596 * [taylor]: Taking taylor expansion of y in y 2.601 * [taylor]: Taking taylor expansion of 0.5 in y 2.603 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3) (* 0.5 (- (/ 1 x) (/ 1 y)))) in (x y) around 0 2.603 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3) (* 0.5 (- (/ 1 x) (/ 1 y)))) in y 2.603 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) (* 0.5 (- (/ 1 x) (/ 1 y)))) 2.603 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) in y 2.603 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.603 * [taylor]: Taking taylor expansion of 1/3 in y 2.603 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.603 * [taylor]: Taking taylor expansion of x in y 2.603 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.604 * [taylor]: Taking taylor expansion of 1/3 in y 2.604 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.604 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.604 * [taylor]: Taking taylor expansion of x in y 2.604 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 x) (/ 1 y))) in y 2.604 * [taylor]: Taking taylor expansion of 0.5 in y 2.604 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.604 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.604 * [taylor]: Taking taylor expansion of x in y 2.604 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.604 * [taylor]: Taking taylor expansion of y in y 2.604 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3) (* 0.5 (- (/ 1 x) (/ 1 y)))) in x 2.604 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) (* 0.5 (- (/ 1 x) (/ 1 y)))) 2.604 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) in x 2.604 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.604 * [taylor]: Taking taylor expansion of 1/3 in x 2.604 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.604 * [taylor]: Taking taylor expansion of x in x 2.605 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.605 * [taylor]: Taking taylor expansion of 1/3 in x 2.605 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.605 * [taylor]: Taking taylor expansion of x in x 2.606 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 x) (/ 1 y))) in x 2.606 * [taylor]: Taking taylor expansion of 0.5 in x 2.606 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.606 * [taylor]: Taking taylor expansion of x in x 2.606 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.606 * [taylor]: Taking taylor expansion of y in x 2.606 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3) (* 0.5 (- (/ 1 x) (/ 1 y)))) in x 2.606 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) (* 0.5 (- (/ 1 x) (/ 1 y)))) 2.606 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (pow (/ 1 x) 1/3)) in x 2.606 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.607 * [taylor]: Taking taylor expansion of 1/3 in x 2.607 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.607 * [taylor]: Taking taylor expansion of x in x 2.607 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.608 * [taylor]: Taking taylor expansion of 1/3 in x 2.608 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 x) (/ 1 y))) in x 2.608 * [taylor]: Taking taylor expansion of 0.5 in x 2.608 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.608 * [taylor]: Taking taylor expansion of x in x 2.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.609 * [taylor]: Taking taylor expansion of y in x 2.609 * [taylor]: Taking taylor expansion of 0.5 in y 2.610 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 0.5 (/ 1 y))) in y 2.610 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.610 * [taylor]: Taking taylor expansion of x in y 2.610 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.610 * [taylor]: Taking taylor expansion of 0.5 in y 2.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.610 * [taylor]: Taking taylor expansion of y in y 2.617 * [taylor]: Taking taylor expansion of 0 in y 2.619 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3)) (* 0.5 (- (/ 1 y) (/ 1 x)))) in (x y) around 0 2.619 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3)) (* 0.5 (- (/ 1 y) (/ 1 x)))) in y 2.619 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) (* 0.5 (- (/ 1 y) (/ 1 x)))) 2.619 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) in y 2.619 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.619 * [taylor]: Taking taylor expansion of 1/3 in y 2.619 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.619 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.619 * [taylor]: Taking taylor expansion of x in y 2.619 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in y 2.619 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.619 * [taylor]: Taking taylor expansion of -1 in y 2.620 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 2.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 2.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 2.620 * [taylor]: Taking taylor expansion of 1/3 in y 2.620 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.620 * [taylor]: Taking taylor expansion of x in y 2.620 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 y) (/ 1 x))) in y 2.620 * [taylor]: Taking taylor expansion of 0.5 in y 2.620 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.620 * [taylor]: Taking taylor expansion of y in y 2.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.621 * [taylor]: Taking taylor expansion of x in y 2.621 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3)) (* 0.5 (- (/ 1 y) (/ 1 x)))) in x 2.621 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) (* 0.5 (- (/ 1 y) (/ 1 x)))) 2.621 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) in x 2.621 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.621 * [taylor]: Taking taylor expansion of 1/3 in x 2.621 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.621 * [taylor]: Taking taylor expansion of x in x 2.622 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.622 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.622 * [taylor]: Taking taylor expansion of -1 in x 2.623 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.623 * [taylor]: Taking taylor expansion of 1/3 in x 2.623 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.624 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 y) (/ 1 x))) in x 2.624 * [taylor]: Taking taylor expansion of 0.5 in x 2.624 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.624 * [taylor]: Taking taylor expansion of y in x 2.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.624 * [taylor]: Taking taylor expansion of x in x 2.624 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3)) (* 0.5 (- (/ 1 y) (/ 1 x)))) in x 2.624 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) (* 0.5 (- (/ 1 y) (/ 1 x)))) 2.624 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (* (cbrt -1) (pow (/ 1 x) 1/3))) in x 2.624 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.624 * [taylor]: Taking taylor expansion of 1/3 in x 2.624 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.624 * [taylor]: Taking taylor expansion of x in x 2.625 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.625 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.625 * [taylor]: Taking taylor expansion of -1 in x 2.626 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.626 * [taylor]: Taking taylor expansion of 1/3 in x 2.626 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.627 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 y) (/ 1 x))) in x 2.627 * [taylor]: Taking taylor expansion of 0.5 in x 2.627 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.627 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.627 * [taylor]: Taking taylor expansion of y in x 2.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.628 * [taylor]: Taking taylor expansion of (- 0.5) in y 2.628 * [taylor]: Taking taylor expansion of 0.5 in y 2.630 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (/ (cbrt -1) x)) in y 2.630 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.630 * [taylor]: Taking taylor expansion of 0.5 in y 2.630 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.630 * [taylor]: Taking taylor expansion of y in y 2.630 * [taylor]: Taking taylor expansion of (/ (cbrt -1) x) in y 2.630 * [taylor]: Taking taylor expansion of (cbrt -1) in y 2.630 * [taylor]: Taking taylor expansion of -1 in y 2.631 * [taylor]: Taking taylor expansion of x in y 2.638 * [taylor]: Taking taylor expansion of 0 in y 2.640 * * * [progress]: simplifying candidates 2.646 * [simplify]: Simplifying using # : (expm1 (cbrt (pow x 2))) (log1p (cbrt (pow x 2))) (log (cbrt (pow x 2))) (exp (cbrt (pow x 2))) (cbrt (pow (* (cbrt x) (cbrt x)) 2)) (cbrt (pow (cbrt x) 2)) (cbrt (pow (sqrt x) 2)) (cbrt (pow (sqrt x) 2)) (cbrt (pow 1 2)) (cbrt (pow x 2)) (cbrt x) (cbrt x) (cbrt (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (cbrt (cbrt (pow x 2))) (cbrt (sqrt (pow x 2))) (cbrt (sqrt (pow x 2))) (cbrt 1) (cbrt (pow x 2)) (cbrt (pow x (/ 2 2))) (cbrt (pow x (/ 2 2))) (* (cbrt (cbrt (pow x 2))) (cbrt (cbrt (pow x 2)))) (cbrt (cbrt (pow x 2))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) (cbrt (pow x 2))) (sqrt (cbrt (pow x 2))) (sqrt (cbrt (pow x 2))) (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 (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (log1p (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (* (cbrt (pow x 2)) (cbrt x)) (log (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (exp (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (* (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0)))) (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (* (* (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0)) (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (sqrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (sqrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) (- (* 0.5 x) (+ (* (cbrt -1) x) (* 0.5 y))) 2.646 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (pow h0 2))) (log1p (cbrt (pow h0 2))) (log (cbrt (pow h0 2))) (exp (cbrt (pow h0 2))) (cbrt (pow (* (cbrt h0) (cbrt h0)) 2)) (cbrt (pow (cbrt h0) 2)) (cbrt (pow (sqrt h0) 2)) (cbrt (pow (sqrt h0) 2)) (cbrt (pow 1 2)) (cbrt (pow h0 2)) (cbrt h0) (cbrt h0) (cbrt (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (cbrt (cbrt (pow h0 2))) (cbrt (sqrt (pow h0 2))) (cbrt (sqrt (pow h0 2))) (cbrt 1) (cbrt (pow h0 2)) (cbrt (pow h0 (/ 2 2))) (cbrt (pow h0 (/ 2 2))) (* (cbrt (cbrt (pow h0 2))) (cbrt (cbrt (pow h0 2)))) (cbrt (cbrt (pow h0 2))) (* (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (cbrt (pow h0 2))) (sqrt (cbrt (pow h0 2))) (sqrt (cbrt (pow h0 2))) (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 (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (log1p (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (* (cbrt (pow h0 2)) (cbrt h0)) (log (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (exp (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (* (cbrt (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (cbrt (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2)))) (cbrt (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (* (* (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2)) (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (sqrt (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (sqrt (fma (cbrt (pow h0 2)) (cbrt h0) (/ (- h0 h1) h2))) (pow h0 2/3) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (- (* h3 h0) (* h4 h1)) (- (* h3 h0) (* h4 h1)) (- (* h4 h0) (+ (* (cbrt -1) h0) (* h4 h1))) 2.650 * * [simplify]: iteration 0 : 146 enodes (cost 220 ) 2.653 * * [simplify]: iteration 1 : 390 enodes (cost 196 ) 2.660 * * [simplify]: iteration 2 : 1375 enodes (cost 189 ) 2.688 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 2.689 * [simplify]: Simplified to: (expm1 (cbrt (pow x 2))) (log1p (cbrt (pow x 2))) (log (cbrt (pow x 2))) (exp (cbrt (pow x 2))) (cbrt (pow (* (cbrt x) (cbrt x)) 2)) (cbrt (pow (cbrt x) 2)) (pow x 1/3) (pow x 1/3) 1 (cbrt (pow x 2)) (pow x 1/3) (pow x 1/3) (cbrt (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (cbrt (cbrt (pow x 2))) (cbrt (sqrt (pow x 2))) (cbrt (sqrt (pow x 2))) 1 (cbrt (pow x 2)) (pow x 1/3) (pow x 1/3) (* (cbrt (cbrt (pow x 2))) (cbrt (cbrt (pow x 2)))) (cbrt (cbrt (pow x 2))) (pow x 2) (sqrt (cbrt (pow x 2))) (sqrt (cbrt (pow x 2))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow (cbrt x) 2)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (pow (pow x 1/3) 1/2) (pow (pow x 1/3) 1/2) (expm1 (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (log1p (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (* (cbrt (pow x 2)) (cbrt x)) (log (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (exp (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (* (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0)))) (cbrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (pow (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0)) 3) (sqrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (sqrt (fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))) (pow x 2/3) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (- (* 1.5 x) (* 0.5 y)) (- (* 1.5 x) (* 0.5 y)) (fma 0.5 x (- (fma (cbrt -1) x (* 0.5 y)))) 2.690 * * * [progress]: adding candidates to table 2.819 * [progress]: [Phase 3 of 3] Extracting. 2.820 * * [regime]: Finding splitpoints for: (# # # # # #) 2.820 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (- x y) 2.0)) y x) 2.820 * * * * [regimes]: Trying to branch on (+ x (/ (- x y) 2.0)) from (# # # # # #) 2.843 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.863 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.886 * * * [regime]: Found split indices: #