5.024 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (- (* x x) 3.0) 6.0) 0.014 * [simplify]: Sending expressions to egg_math: (/ (- (* h0 h0) h1) h2) 0.016 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 21 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 23 enodes (cost 3 ) 0.021 * * [simplify]: iteration 4 : 24 enodes (cost 3 ) 0.023 * * [simplify]: iteration 5 : 24 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (/ (- (* x x) 3.0) 6.0) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.053 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.064 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (- (pow x 2) 3.0)) in (x) around 0 0.064 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (pow x 2) 3.0)) in x 0.065 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.065 * [taylor]: Taking taylor expansion of (- (pow x 2) 3.0) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 3.0 in x 0.065 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (pow x 2) 3.0)) in x 0.065 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.065 * [taylor]: Taking taylor expansion of (- (pow x 2) 3.0) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 3.0 in x 0.080 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in (x) around 0 0.080 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in x 0.080 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 3.0 in x 0.081 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in x 0.081 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 3.0 in x 0.102 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in x 0.102 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 3.0 in x 0.102 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in x 0.102 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 3.0 in x 0.128 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.128 * [approximate]: Taking taylor expansion of (- (pow x 2) 3.0) in (x) around 0 0.128 * [taylor]: Taking taylor expansion of (- (pow x 2) 3.0) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of 3.0 in x 0.128 * [taylor]: Taking taylor expansion of (- (pow x 2) 3.0) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of 3.0 in x 0.136 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of 3.0 in x 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of 3.0 in x 0.150 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of 3.0 in x 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of 3.0 in x 0.163 * * * [progress]: simplifying candidates 0.164 * [simplify]: Simplifying using # : (expm1 (/ (- (* x x) 3.0) 6.0)) (log1p (/ (- (* x x) 3.0) 6.0)) (- (log (- (* x x) 3.0)) (log 6.0)) (log (/ (- (* x x) 3.0) 6.0)) (exp (/ (- (* x x) 3.0) 6.0)) (/ (* (* (- (* x x) 3.0) (- (* x x) 3.0)) (- (* x x) 3.0)) (* (* 6.0 6.0) 6.0)) (* (cbrt (/ (- (* x x) 3.0) 6.0)) (cbrt (/ (- (* x x) 3.0) 6.0))) (cbrt (/ (- (* x x) 3.0) 6.0)) (* (* (/ (- (* x x) 3.0) 6.0) (/ (- (* x x) 3.0) 6.0)) (/ (- (* x x) 3.0) 6.0)) (sqrt (/ (- (* x x) 3.0) 6.0)) (sqrt (/ (- (* x x) 3.0) 6.0)) (- (- (* x x) 3.0)) (- 6.0) (/ (* x x) 6.0) (/ 3.0 6.0) (/ (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (* (cbrt 6.0) (cbrt 6.0))) (/ (cbrt (- (* x x) 3.0)) (cbrt 6.0)) (/ (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (sqrt 6.0)) (/ (cbrt (- (* x x) 3.0)) (sqrt 6.0)) (/ (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) 1) (/ (cbrt (- (* x x) 3.0)) 6.0) (/ (sqrt (- (* x x) 3.0)) (* (cbrt 6.0) (cbrt 6.0))) (/ (sqrt (- (* x x) 3.0)) (cbrt 6.0)) (/ (sqrt (- (* x x) 3.0)) (sqrt 6.0)) (/ (sqrt (- (* x x) 3.0)) (sqrt 6.0)) (/ (sqrt (- (* x x) 3.0)) 1) (/ (sqrt (- (* x x) 3.0)) 6.0) (/ 1 (* (cbrt 6.0) (cbrt 6.0))) (/ (- (* x x) 3.0) (cbrt 6.0)) (/ 1 (sqrt 6.0)) (/ (- (* x x) 3.0) (sqrt 6.0)) (/ 1 1) (/ (- (* x x) 3.0) 6.0) (/ (+ x (sqrt 3.0)) (* (cbrt 6.0) (cbrt 6.0))) (/ (- x (sqrt 3.0)) (cbrt 6.0)) (/ (+ x (sqrt 3.0)) (sqrt 6.0)) (/ (- x (sqrt 3.0)) (sqrt 6.0)) (/ (+ x (sqrt 3.0)) 1) (/ (- x (sqrt 3.0)) 6.0) (/ 1 6.0) (/ 6.0 (- (* x x) 3.0)) (/ (- (* x x) 3.0) (* (cbrt 6.0) (cbrt 6.0))) (/ (- (* x x) 3.0) (sqrt 6.0)) (/ (- (* x x) 3.0) 1) (/ 6.0 (cbrt (- (* x x) 3.0))) (/ 6.0 (sqrt (- (* x x) 3.0))) (/ 6.0 (- (* x x) 3.0)) (/ 6.0 (- x (sqrt 3.0))) (* 6.0 (+ (* (* x x) (* x x)) (+ (* 3.0 3.0) (* (* x x) 3.0)))) (* 6.0 (+ (* x x) 3.0)) (fma x x (- (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0))))) (fma (- (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0)))) (fma x x (- (* (sqrt 3.0) (sqrt 3.0)))) (fma (- (sqrt 3.0)) (sqrt 3.0) (* (sqrt 3.0) (sqrt 3.0))) (fma x x (- (* 3.0 1))) (fma (- 3.0) 1 (* 3.0 1)) (expm1 (- (* x x) 3.0)) (log1p (- (* x x) 3.0)) (- 3.0) (/ (exp (* x x)) (exp 3.0)) (log (- (* x x) 3.0)) (exp (- (* x x) 3.0)) (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (cbrt (- (* x x) 3.0)) (* (* (- (* x x) 3.0) (- (* x x) 3.0)) (- (* x x) 3.0)) (sqrt (- (* x x) 3.0)) (sqrt (- (* x x) 3.0)) (- (pow (* x x) 3) (pow 3.0 3)) (+ (* (* x x) (* x x)) (+ (* 3.0 3.0) (* (* x x) 3.0))) (- 3.0) (- (* (* x x) (* x x)) (* 3.0 3.0)) (+ (* x x) 3.0) (+ x (sqrt 3.0)) (- x (sqrt 3.0)) (- 3.0) (- (* 0.16666666666666666 (pow x 2)) 0.5) (- (* 0.16666666666666666 (pow x 2)) 0.5) (- (* 0.16666666666666666 (pow x 2)) 0.5) (- (pow x 2) 3.0) (- (pow x 2) 3.0) (- (pow x 2) 3.0) 0.165 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- (* h0 h0) h1) h2)) (log1p (/ (- (* h0 h0) h1) h2)) (- (log (- (* h0 h0) h1)) (log h2)) (log (/ (- (* h0 h0) h1) h2)) (exp (/ (- (* h0 h0) h1) h2)) (/ (* (* (- (* h0 h0) h1) (- (* h0 h0) h1)) (- (* h0 h0) h1)) (* (* h2 h2) 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)) (- (- (* h0 h0) h1)) (- h2) (/ (* h0 h0) h2) (/ h1 h2) (/ (* (cbrt (- (* h0 h0) h1)) (cbrt (- (* h0 h0) h1))) (* (cbrt h2) (cbrt h2))) (/ (cbrt (- (* h0 h0) h1)) (cbrt h2)) (/ (* (cbrt (- (* h0 h0) h1)) (cbrt (- (* h0 h0) h1))) (sqrt h2)) (/ (cbrt (- (* h0 h0) h1)) (sqrt h2)) (/ (* (cbrt (- (* h0 h0) h1)) (cbrt (- (* h0 h0) h1))) 1) (/ (cbrt (- (* h0 h0) h1)) h2) (/ (sqrt (- (* h0 h0) h1)) (* (cbrt h2) (cbrt h2))) (/ (sqrt (- (* h0 h0) h1)) (cbrt h2)) (/ (sqrt (- (* h0 h0) h1)) (sqrt h2)) (/ (sqrt (- (* h0 h0) h1)) (sqrt h2)) (/ (sqrt (- (* h0 h0) h1)) 1) (/ (sqrt (- (* h0 h0) h1)) h2) (/ 1 (* (cbrt h2) (cbrt h2))) (/ (- (* h0 h0) h1) (cbrt h2)) (/ 1 (sqrt h2)) (/ (- (* h0 h0) h1) (sqrt h2)) (/ 1 1) (/ (- (* h0 h0) h1) h2) (/ (+ h0 (sqrt h1)) (* (cbrt h2) (cbrt h2))) (/ (- h0 (sqrt h1)) (cbrt h2)) (/ (+ h0 (sqrt h1)) (sqrt h2)) (/ (- h0 (sqrt h1)) (sqrt h2)) (/ (+ h0 (sqrt h1)) 1) (/ (- h0 (sqrt h1)) h2) (/ 1 h2) (/ h2 (- (* h0 h0) h1)) (/ (- (* h0 h0) h1) (* (cbrt h2) (cbrt h2))) (/ (- (* h0 h0) h1) (sqrt h2)) (/ (- (* h0 h0) h1) 1) (/ h2 (cbrt (- (* h0 h0) h1))) (/ h2 (sqrt (- (* h0 h0) h1))) (/ h2 (- (* h0 h0) h1)) (/ h2 (- h0 (sqrt h1))) (* h2 (+ (* (* h0 h0) (* h0 h0)) (+ (* h1 h1) (* (* h0 h0) h1)))) (* h2 (+ (* h0 h0) h1)) (fma h0 h0 (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma h0 h0 (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma h0 h0 (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (expm1 (- (* h0 h0) h1)) (log1p (- (* h0 h0) h1)) (- h1) (/ (exp (* h0 h0)) (exp h1)) (log (- (* h0 h0) h1)) (exp (- (* h0 h0) h1)) (* (cbrt (- (* h0 h0) h1)) (cbrt (- (* h0 h0) h1))) (cbrt (- (* h0 h0) h1)) (* (* (- (* h0 h0) h1) (- (* h0 h0) h1)) (- (* h0 h0) h1)) (sqrt (- (* h0 h0) h1)) (sqrt (- (* h0 h0) h1)) (- (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* h1 h1) (* (* h0 h0) h1))) (- h1) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (+ (* h0 h0) h1) (+ h0 (sqrt h1)) (- h0 (sqrt h1)) (- h1) (- (* h3 (pow h0 2)) h4) (- (* h3 (pow h0 2)) h4) (- (* h3 (pow h0 2)) h4) (- (pow h0 2) h1) (- (pow h0 2) h1) (- (pow h0 2) h1) 0.169 * * [simplify]: iteration 0 : 246 enodes (cost 323 ) 0.174 * * [simplify]: iteration 1 : 917 enodes (cost 287 ) 0.195 * * [simplify]: iteration 2 : 5001 enodes (cost 279 ) 0.197 * [simplify]: Simplified to: (expm1 (/ (- (* x x) 3.0) 6.0)) (log1p (/ (- (* x x) 3.0) 6.0)) (log (/ (- (* x x) 3.0) 6.0)) (log (/ (- (* x x) 3.0) 6.0)) (exp (/ (- (* x x) 3.0) 6.0)) (pow (/ (- (* x x) 3.0) 6.0) 3) (* (cbrt (/ (- (* x x) 3.0) 6.0)) (cbrt (/ (- (* x x) 3.0) 6.0))) (cbrt (/ (- (* x x) 3.0) 6.0)) (pow (/ (- (* x x) 3.0) 6.0) 3) (sqrt (/ (- (* x x) 3.0) 6.0)) (sqrt (/ (- (* x x) 3.0) 6.0)) (- (- (* x x) 3.0)) (- 6.0) (/ (* x x) 6.0) (/ 3.0 6.0) (/ (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (* (cbrt 6.0) (cbrt 6.0))) (/ (cbrt (- (* x x) 3.0)) (cbrt 6.0)) (/ (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (sqrt 6.0)) (/ (cbrt (- (* x x) 3.0)) (sqrt 6.0)) (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (/ (cbrt (- (* x x) 3.0)) 6.0) (/ (sqrt (- (* x x) 3.0)) (* (cbrt 6.0) (cbrt 6.0))) (/ (sqrt (- (* x x) 3.0)) (cbrt 6.0)) (/ (sqrt (- (* x x) 3.0)) (sqrt 6.0)) (/ (sqrt (- (* x x) 3.0)) (sqrt 6.0)) (sqrt (- (* x x) 3.0)) (/ (sqrt (- (* x x) 3.0)) 6.0) (/ 1 (* (cbrt 6.0) (cbrt 6.0))) (/ (- (* x x) 3.0) (cbrt 6.0)) (/ 1 (sqrt 6.0)) (/ (- (* x x) 3.0) (sqrt 6.0)) 1 (/ (- (* x x) 3.0) 6.0) (/ (+ x (sqrt 3.0)) (* (cbrt 6.0) (cbrt 6.0))) (/ (- x (sqrt 3.0)) (cbrt 6.0)) (/ (+ x (sqrt 3.0)) (sqrt 6.0)) (/ (- x (sqrt 3.0)) (sqrt 6.0)) (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0) (/ 1 6.0) (/ 6.0 (- (* x x) 3.0)) (/ (- (* x x) 3.0) (* (cbrt 6.0) (cbrt 6.0))) (/ (- (* x x) 3.0) (sqrt 6.0)) (- (* x x) 3.0) (/ 6.0 (cbrt (- (* x x) 3.0))) (/ 6.0 (sqrt (- (* x x) 3.0))) (/ 6.0 (- (* x x) 3.0)) (/ 6.0 (- x (sqrt 3.0))) (fma (pow x 4) 6.0 (* (* 6.0 3.0) (fma x x 3.0))) (* (fma x x 3.0) 6.0) (- (* x x) 3.0) (- 3.0 3.0) (- (* x x) 3.0) (- 3.0 3.0) (- (* x x) 3.0) (- 3.0 3.0) (expm1 (- (* x x) 3.0)) (log1p (- (* x x) 3.0)) (- 3.0) (exp (- (* x x) 3.0)) (log (- (* x x) 3.0)) (exp (- (* x x) 3.0)) (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (cbrt (- (* x x) 3.0)) (pow (- (* x x) 3.0) 3) (sqrt (- (* x x) 3.0)) (sqrt (- (* x x) 3.0)) (- (pow (* x x) 3) (pow 3.0 3)) (fma (fma x x 3.0) 3.0 (pow x 4)) (- 3.0) (fma (- 3.0) 3.0 (pow x 4)) (fma x x 3.0) (+ x (sqrt 3.0)) (- x (sqrt 3.0)) (- 3.0) (- (* 0.16666666666666666 (pow x 2)) 0.5) (- (* 0.16666666666666666 (pow x 2)) 0.5) (- (* 0.16666666666666666 (pow x 2)) 0.5) (- (* x x) 3.0) (- (* x x) 3.0) (- (* x x) 3.0) 0.197 * * * [progress]: adding candidates to table 0.303 * * [progress]: iteration 2 / 4 0.303 * * * [progress]: picking best candidate 0.308 * * * * [pick]: Picked # 0.309 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.325 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.325 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in (x) around 0 0.325 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.336 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.337 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.344 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.352 * * * [progress]: simplifying candidates 0.352 * [simplify]: Simplifying using # : (expm1 (/ (* x x) 6.0)) (log1p (/ (* x x) 6.0)) (- (+ (log x) (log x)) (log 6.0)) (- (log (* x x)) (log 6.0)) (log (/ (* x x) 6.0)) (exp (/ (* x x) 6.0)) (/ (* (* (* x x) x) (* (* x x) x)) (* (* 6.0 6.0) 6.0)) (/ (* (* (* x x) (* x x)) (* x x)) (* (* 6.0 6.0) 6.0)) (* (cbrt (/ (* x x) 6.0)) (cbrt (/ (* x x) 6.0))) (cbrt (/ (* x x) 6.0)) (* (* (/ (* x x) 6.0) (/ (* x x) 6.0)) (/ (* x x) 6.0)) (sqrt (/ (* x x) 6.0)) (sqrt (/ (* x x) 6.0)) (- (* x x)) (- 6.0) (/ x (* (cbrt 6.0) (cbrt 6.0))) (/ x (cbrt 6.0)) (/ x (sqrt 6.0)) (/ x (sqrt 6.0)) (/ x 1) (/ x 6.0) (/ 1 6.0) (/ 6.0 (* x x)) (/ (* x x) (* (cbrt 6.0) (cbrt 6.0))) (/ (* x x) (sqrt 6.0)) (/ (* x x) 1) (/ 6.0 x) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) 0.353 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* h0 h0) h1)) (log1p (/ (* h0 h0) h1)) (- (+ (log h0) (log h0)) (log h1)) (- (log (* h0 h0)) (log h1)) (log (/ (* h0 h0) h1)) (exp (/ (* h0 h0) h1)) (/ (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* h1 h1) h1)) (/ (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* h1 h1) h1)) (* (cbrt (/ (* h0 h0) h1)) (cbrt (/ (* h0 h0) h1))) (cbrt (/ (* h0 h0) h1)) (* (* (/ (* h0 h0) h1) (/ (* h0 h0) h1)) (/ (* h0 h0) h1)) (sqrt (/ (* h0 h0) h1)) (sqrt (/ (* h0 h0) h1)) (- (* h0 h0)) (- h1) (/ h0 (* (cbrt h1) (cbrt h1))) (/ h0 (cbrt h1)) (/ h0 (sqrt h1)) (/ h0 (sqrt h1)) (/ h0 1) (/ h0 h1) (/ 1 h1) (/ h1 (* h0 h0)) (/ (* h0 h0) (* (cbrt h1) (cbrt h1))) (/ (* h0 h0) (sqrt h1)) (/ (* h0 h0) 1) (/ h1 h0) (* h2 (pow h0 2)) (* h2 (pow h0 2)) (* h2 (pow h0 2)) 0.356 * * [simplify]: iteration 0 : 109 enodes (cost 91 ) 0.358 * * [simplify]: iteration 1 : 467 enodes (cost 76 ) 0.367 * * [simplify]: iteration 2 : 2005 enodes (cost 76 ) 0.416 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.417 * [simplify]: Simplified to: (expm1 (/ (* x x) 6.0)) (log1p (/ (* x x) 6.0)) (log (/ (* x x) 6.0)) (log (/ (* x x) 6.0)) (log (/ (* x x) 6.0)) (exp (/ (* x x) 6.0)) (pow (/ (* x x) 6.0) 3) (pow (/ (* x x) 6.0) 3) (* (cbrt (/ (* x x) 6.0)) (cbrt (/ (* x x) 6.0))) (cbrt (/ (* x x) 6.0)) (pow (/ (* x x) 6.0) 3) (sqrt (/ (* x x) 6.0)) (sqrt (/ (* x x) 6.0)) (- (* x x)) (- 6.0) (/ x (* (cbrt 6.0) (cbrt 6.0))) (/ x (cbrt 6.0)) (/ x (sqrt 6.0)) (/ x (sqrt 6.0)) x (/ x 6.0) (/ 1 6.0) (/ 6.0 (* x x)) (/ (* x x) (* (cbrt 6.0) (cbrt 6.0))) (/ (* x x) (sqrt 6.0)) (pow x 2) (/ 6.0 x) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) 0.417 * * * [progress]: adding candidates to table 0.461 * * [progress]: iteration 3 / 4 0.461 * * * [progress]: picking best candidate 0.465 * * * * [pick]: Picked # 0.465 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.470 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.482 * * * [progress]: generating series expansions 0.482 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.483 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.490 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.490 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.498 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.505 * * * [progress]: simplifying candidates 0.506 * [simplify]: Simplifying using # : (expm1 (/ x (/ 6.0 x))) (log1p (/ x (/ 6.0 x))) (- (log x) (- (log 6.0) (log x))) (- (log x) (log (/ 6.0 x))) (log (/ x (/ 6.0 x))) (exp (/ x (/ 6.0 x))) (/ (* (* x x) x) (/ (* (* 6.0 6.0) 6.0) (* (* x x) x))) (/ (* (* x x) x) (* (* (/ 6.0 x) (/ 6.0 x)) (/ 6.0 x))) (* (cbrt (/ x (/ 6.0 x))) (cbrt (/ x (/ 6.0 x)))) (cbrt (/ x (/ 6.0 x))) (* (* (/ x (/ 6.0 x)) (/ x (/ 6.0 x))) (/ x (/ 6.0 x))) (sqrt (/ x (/ 6.0 x))) (sqrt (/ x (/ 6.0 x))) (- x) (- (/ 6.0 x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ 6.0 x)) (cbrt (/ 6.0 x)))) (/ (cbrt x) (cbrt (/ 6.0 x))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ 6.0 x))) (/ (cbrt x) (sqrt (/ 6.0 x))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt 6.0) (cbrt 6.0)) (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ (cbrt 6.0) (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt 6.0) (cbrt 6.0)) (sqrt x))) (/ (cbrt x) (/ (cbrt 6.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt 6.0) (cbrt 6.0)) 1)) (/ (cbrt x) (/ (cbrt 6.0) x)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 6.0) (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ (sqrt 6.0) (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 6.0) (sqrt x))) (/ (cbrt x) (/ (sqrt 6.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 6.0) 1)) (/ (cbrt x) (/ (sqrt 6.0) x)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ 6.0 (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt x))) (/ (cbrt x) (/ 6.0 (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ 6.0 x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ 6.0 x)) (/ (* (cbrt x) (cbrt x)) 6.0) (/ (cbrt x) (/ 1 x)) (/ (sqrt x) (* (cbrt (/ 6.0 x)) (cbrt (/ 6.0 x)))) (/ (sqrt x) (cbrt (/ 6.0 x))) (/ (sqrt x) (sqrt (/ 6.0 x))) (/ (sqrt x) (sqrt (/ 6.0 x))) (/ (sqrt x) (/ (* (cbrt 6.0) (cbrt 6.0)) (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ (cbrt 6.0) (cbrt x))) (/ (sqrt x) (/ (* (cbrt 6.0) (cbrt 6.0)) (sqrt x))) (/ (sqrt x) (/ (cbrt 6.0) (sqrt x))) (/ (sqrt x) (/ (* (cbrt 6.0) (cbrt 6.0)) 1)) (/ (sqrt x) (/ (cbrt 6.0) x)) (/ (sqrt x) (/ (sqrt 6.0) (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ (sqrt 6.0) (cbrt x))) (/ (sqrt x) (/ (sqrt 6.0) (sqrt x))) (/ (sqrt x) (/ (sqrt 6.0) (sqrt x))) (/ (sqrt x) (/ (sqrt 6.0) 1)) (/ (sqrt x) (/ (sqrt 6.0) x)) (/ (sqrt x) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ 6.0 (cbrt x))) (/ (sqrt x) (/ 1 (sqrt x))) (/ (sqrt x) (/ 6.0 (sqrt x))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ 6.0 x)) (/ (sqrt x) 1) (/ (sqrt x) (/ 6.0 x)) (/ (sqrt x) 6.0) (/ (sqrt x) (/ 1 x)) (/ 1 (* (cbrt (/ 6.0 x)) (cbrt (/ 6.0 x)))) (/ x (cbrt (/ 6.0 x))) (/ 1 (sqrt (/ 6.0 x))) (/ x (sqrt (/ 6.0 x))) (/ 1 (/ (* (cbrt 6.0) (cbrt 6.0)) (* (cbrt x) (cbrt x)))) (/ x (/ (cbrt 6.0) (cbrt x))) (/ 1 (/ (* (cbrt 6.0) (cbrt 6.0)) (sqrt x))) (/ x (/ (cbrt 6.0) (sqrt x))) (/ 1 (/ (* (cbrt 6.0) (cbrt 6.0)) 1)) (/ x (/ (cbrt 6.0) x)) (/ 1 (/ (sqrt 6.0) (* (cbrt x) (cbrt x)))) (/ x (/ (sqrt 6.0) (cbrt x))) (/ 1 (/ (sqrt 6.0) (sqrt x))) (/ x (/ (sqrt 6.0) (sqrt x))) (/ 1 (/ (sqrt 6.0) 1)) (/ x (/ (sqrt 6.0) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ x (/ 6.0 (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ x (/ 6.0 (sqrt x))) (/ 1 (/ 1 1)) (/ x (/ 6.0 x)) (/ 1 1) (/ x (/ 6.0 x)) (/ 1 6.0) (/ x (/ 1 x)) (/ 1 (/ 6.0 x)) (/ (/ 6.0 x) x) (/ x (* (cbrt (/ 6.0 x)) (cbrt (/ 6.0 x)))) (/ x (sqrt (/ 6.0 x))) (/ x (/ (* (cbrt 6.0) (cbrt 6.0)) (* (cbrt x) (cbrt x)))) (/ x (/ (* (cbrt 6.0) (cbrt 6.0)) (sqrt x))) (/ x (/ (* (cbrt 6.0) (cbrt 6.0)) 1)) (/ x (/ (sqrt 6.0) (* (cbrt x) (cbrt x)))) (/ x (/ (sqrt 6.0) (sqrt x))) (/ x (/ (sqrt 6.0) 1)) (/ x (/ 1 (* (cbrt x) (cbrt x)))) (/ x (/ 1 (sqrt x))) (/ x (/ 1 1)) (/ x 1) (/ x 6.0) (/ (/ 6.0 x) (cbrt x)) (/ (/ 6.0 x) (sqrt x)) (/ (/ 6.0 x) x) (/ x 6.0) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) 0.507 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (/ h1 h0))) (log1p (/ h0 (/ h1 h0))) (- (log h0) (- (log h1) (log h0))) (- (log h0) (log (/ h1 h0))) (log (/ h0 (/ h1 h0))) (exp (/ h0 (/ h1 h0))) (/ (* (* h0 h0) h0) (/ (* (* h1 h1) h1) (* (* h0 h0) h0))) (/ (* (* h0 h0) h0) (* (* (/ h1 h0) (/ h1 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))) (- h0) (- (/ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0)))) (/ (cbrt h0) (cbrt (/ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (/ h1 h0))) (/ (cbrt h0) (sqrt (/ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)))) (/ (cbrt h0) (/ (cbrt h1) (cbrt h0))) (/ (* (cbrt h0) (cbrt h0)) (/ (* (cbrt h1) (cbrt h1)) (sqrt h0))) (/ (cbrt h0) (/ (cbrt h1) (sqrt h0))) (/ (* (cbrt h0) (cbrt h0)) (/ (* (cbrt h1) (cbrt h1)) 1)) (/ (cbrt h0) (/ (cbrt h1) h0)) (/ (* (cbrt h0) (cbrt h0)) (/ (sqrt h1) (* (cbrt h0) (cbrt h0)))) (/ (cbrt h0) (/ (sqrt h1) (cbrt h0))) (/ (* (cbrt h0) (cbrt h0)) (/ (sqrt h1) (sqrt h0))) (/ (cbrt h0) (/ (sqrt h1) (sqrt h0))) (/ (* (cbrt h0) (cbrt h0)) (/ (sqrt h1) 1)) (/ (cbrt h0) (/ (sqrt h1) h0)) (/ (* (cbrt h0) (cbrt h0)) (/ 1 (* (cbrt h0) (cbrt h0)))) (/ (cbrt h0) (/ h1 (cbrt h0))) (/ (* (cbrt h0) (cbrt h0)) (/ 1 (sqrt h0))) (/ (cbrt h0) (/ h1 (sqrt h0))) (/ (* (cbrt h0) (cbrt h0)) (/ 1 1)) (/ (cbrt h0) (/ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (/ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) h1) (/ (cbrt h0) (/ 1 h0)) (/ (sqrt h0) (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0)))) (/ (sqrt h0) (cbrt (/ h1 h0))) (/ (sqrt h0) (sqrt (/ h1 h0))) (/ (sqrt h0) (sqrt (/ h1 h0))) (/ (sqrt h0) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)))) (/ (sqrt h0) (/ (cbrt h1) (cbrt h0))) (/ (sqrt h0) (/ (* (cbrt h1) (cbrt h1)) (sqrt h0))) (/ (sqrt h0) (/ (cbrt h1) (sqrt h0))) (/ (sqrt h0) (/ (* (cbrt h1) (cbrt h1)) 1)) (/ (sqrt h0) (/ (cbrt h1) h0)) (/ (sqrt h0) (/ (sqrt h1) (* (cbrt h0) (cbrt h0)))) (/ (sqrt h0) (/ (sqrt h1) (cbrt h0))) (/ (sqrt h0) (/ (sqrt h1) (sqrt h0))) (/ (sqrt h0) (/ (sqrt h1) (sqrt h0))) (/ (sqrt h0) (/ (sqrt h1) 1)) (/ (sqrt h0) (/ (sqrt h1) h0)) (/ (sqrt h0) (/ 1 (* (cbrt h0) (cbrt h0)))) (/ (sqrt h0) (/ h1 (cbrt h0))) (/ (sqrt h0) (/ 1 (sqrt h0))) (/ (sqrt h0) (/ h1 (sqrt h0))) (/ (sqrt h0) (/ 1 1)) (/ (sqrt h0) (/ h1 h0)) (/ (sqrt h0) 1) (/ (sqrt h0) (/ h1 h0)) (/ (sqrt h0) h1) (/ (sqrt h0) (/ 1 h0)) (/ 1 (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0)))) (/ h0 (cbrt (/ h1 h0))) (/ 1 (sqrt (/ h1 h0))) (/ h0 (sqrt (/ h1 h0))) (/ 1 (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)))) (/ h0 (/ (cbrt h1) (cbrt h0))) (/ 1 (/ (* (cbrt h1) (cbrt h1)) (sqrt h0))) (/ h0 (/ (cbrt h1) (sqrt h0))) (/ 1 (/ (* (cbrt h1) (cbrt h1)) 1)) (/ h0 (/ (cbrt h1) h0)) (/ 1 (/ (sqrt h1) (* (cbrt h0) (cbrt h0)))) (/ h0 (/ (sqrt h1) (cbrt h0))) (/ 1 (/ (sqrt h1) (sqrt h0))) (/ h0 (/ (sqrt h1) (sqrt h0))) (/ 1 (/ (sqrt h1) 1)) (/ h0 (/ (sqrt h1) h0)) (/ 1 (/ 1 (* (cbrt h0) (cbrt h0)))) (/ h0 (/ h1 (cbrt h0))) (/ 1 (/ 1 (sqrt h0))) (/ h0 (/ h1 (sqrt h0))) (/ 1 (/ 1 1)) (/ h0 (/ h1 h0)) (/ 1 1) (/ h0 (/ h1 h0)) (/ 1 h1) (/ h0 (/ 1 h0)) (/ 1 (/ h1 h0)) (/ (/ h1 h0) h0) (/ h0 (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0)))) (/ h0 (sqrt (/ h1 h0))) (/ h0 (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)))) (/ h0 (/ (* (cbrt h1) (cbrt h1)) (sqrt h0))) (/ h0 (/ (* (cbrt h1) (cbrt h1)) 1)) (/ h0 (/ (sqrt h1) (* (cbrt h0) (cbrt h0)))) (/ h0 (/ (sqrt h1) (sqrt h0))) (/ h0 (/ (sqrt h1) 1)) (/ h0 (/ 1 (* (cbrt h0) (cbrt h0)))) (/ h0 (/ 1 (sqrt h0))) (/ h0 (/ 1 1)) (/ h0 1) (/ h0 h1) (/ (/ h1 h0) (cbrt h0)) (/ (/ h1 h0) (sqrt h0)) (/ (/ h1 h0) h0) (/ h0 h1) (* h2 (pow h0 2)) (* h2 (pow h0 2)) (* h2 (pow h0 2)) 0.511 * * [simplify]: iteration 0 : 321 enodes (cost 458 ) 0.518 * * [simplify]: iteration 1 : 1652 enodes (cost 419 ) 0.550 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.552 * [simplify]: Simplified to: (expm1 (/ x (/ 6.0 x))) (log1p (/ x (/ 6.0 x))) (log (/ x (/ 6.0 x))) (log (/ x (/ 6.0 x))) (log (/ x (/ 6.0 x))) (exp (/ x (/ 6.0 x))) (pow (/ x (/ 6.0 x)) 3) (pow (/ x (/ 6.0 x)) 3) (* (cbrt (/ x (/ 6.0 x))) (cbrt (/ x (/ 6.0 x)))) (cbrt (/ x (/ 6.0 x))) (pow (/ x (/ 6.0 x)) 3) (sqrt (/ x (/ 6.0 x))) (sqrt (/ x (/ 6.0 x))) (- x) (- (/ 6.0 x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ 6.0 x)) (cbrt (/ 6.0 x)))) (/ (cbrt x) (cbrt (/ 6.0 x))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ 6.0 x))) (/ (cbrt x) (sqrt (/ 6.0 x))) (* (/ (cbrt x) (cbrt 6.0)) (/ (pow (cbrt x) 3) (cbrt 6.0))) (/ (cbrt x) (/ (cbrt 6.0) (cbrt x))) (/ (sqrt x) (/ (* (cbrt 6.0) (cbrt 6.0)) (* (cbrt x) (cbrt x)))) (/ (cbrt x) (/ (cbrt 6.0) (sqrt x))) (/ (cbrt x) (/ (* (cbrt 6.0) (cbrt 6.0)) (cbrt x))) (/ x (/ (cbrt 6.0) (cbrt x))) (* (/ (cbrt x) (sqrt 6.0)) (/ (pow (cbrt x) 3) 1)) (/ (cbrt x) (/ (sqrt 6.0) (cbrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 6.0) (sqrt x))) (/ (cbrt x) (/ (sqrt 6.0) (sqrt x))) (/ (cbrt x) (/ (sqrt 6.0) (cbrt x))) (/ x (/ (sqrt 6.0) (cbrt x))) (* (cbrt x) (/ (pow (cbrt x) 3) 1)) (/ (* (cbrt x) (cbrt x)) 6.0) (* (* (cbrt x) (cbrt x)) (sqrt x)) (/ (cbrt x) (/ 6.0 (sqrt x))) (* (cbrt x) (cbrt x)) (/ x (/ 6.0 (cbrt x))) (* (cbrt x) (cbrt x)) (/ x (/ 6.0 (cbrt x))) (/ (* (cbrt x) (cbrt x)) 6.0) (* (cbrt x) x) (/ (sqrt x) (* (cbrt (/ 6.0 x)) (cbrt (/ 6.0 x)))) (/ (sqrt x) (cbrt (/ 6.0 x))) (/ (sqrt x) (sqrt (/ 6.0 x))) (/ (sqrt x) (sqrt (/ 6.0 x))) (/ (sqrt x) (/ (* (cbrt 6.0) (cbrt 6.0)) (* (cbrt x) (cbrt x)))) (/ (sqrt x) (/ (cbrt 6.0) (cbrt x))) (/ x (* (cbrt 6.0) (cbrt 6.0))) (/ x (cbrt 6.0)) (/ (sqrt x) (* (cbrt 6.0) (cbrt 6.0))) (/ x (/ (cbrt 6.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt 6.0) (sqrt x))) (/ (sqrt x) (/ (sqrt 6.0) (cbrt x))) (/ x (sqrt 6.0)) (/ x (sqrt 6.0)) (/ (sqrt x) (sqrt 6.0)) (/ x (/ (sqrt 6.0) (sqrt x))) (* (* (cbrt x) (cbrt x)) (sqrt x)) (/ (sqrt x) (/ 6.0 (cbrt x))) x (/ x 6.0) (sqrt x) (/ x (/ 6.0 (sqrt x))) (sqrt x) (/ x (/ 6.0 (sqrt x))) (/ (sqrt x) 6.0) (* (sqrt x) x) (/ 1 (* (cbrt (/ 6.0 x)) (cbrt (/ 6.0 x)))) (/ x (cbrt (/ 6.0 x))) (/ 1 (sqrt (/ 6.0 x))) (/ x (sqrt (/ 6.0 x))) (/ (cbrt x) (/ (* (cbrt 6.0) (cbrt 6.0)) (cbrt x))) (/ x (/ (cbrt 6.0) (cbrt x))) (/ (sqrt x) (* (cbrt 6.0) (cbrt 6.0))) (/ x (/ (cbrt 6.0) (sqrt x))) (/ 1 (* (cbrt 6.0) (cbrt 6.0))) (/ x (/ (cbrt 6.0) x)) (/ (cbrt x) (/ (sqrt 6.0) (cbrt x))) (/ x (/ (sqrt 6.0) (cbrt x))) (/ (sqrt x) (sqrt 6.0)) (/ x (/ (sqrt 6.0) (sqrt x))) (/ 1 (sqrt 6.0)) (/ x (/ (sqrt 6.0) x)) (* (cbrt x) (cbrt x)) (/ x (/ 6.0 (cbrt x))) (sqrt x) (/ x (/ 6.0 (sqrt x))) 1 (/ x (/ 6.0 x)) 1 (/ x (/ 6.0 x)) (/ 1 6.0) (pow x 2) (/ x 6.0) (/ (/ 6.0 x) x) (/ x (* (cbrt (/ 6.0 x)) (cbrt (/ 6.0 x)))) (/ x (sqrt (/ 6.0 x))) (/ x (/ (* (cbrt 6.0) (cbrt 6.0)) (* (cbrt x) (cbrt x)))) (/ x (/ (* (cbrt 6.0) (cbrt 6.0)) (sqrt x))) (/ x (* (cbrt 6.0) (cbrt 6.0))) (/ x (/ (sqrt 6.0) (* (cbrt x) (cbrt x)))) (/ x (/ (sqrt 6.0) (sqrt x))) (/ x (sqrt 6.0)) (* x (* (cbrt x) (cbrt x))) (* (sqrt x) x) x x (/ x 6.0) (/ (/ 6.0 x) (cbrt x)) (/ (/ 6.0 x) (sqrt x)) (/ (/ 6.0 x) x) (/ x 6.0) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) 0.553 * * * [progress]: adding candidates to table 0.692 * * [progress]: iteration 4 / 4 0.692 * * * [progress]: picking best candidate 0.695 * * * * [pick]: Picked # 0.695 * * * [progress]: localizing error 0.700 * * * [progress]: generating rewritten candidates 0.700 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.716 * * * [progress]: generating series expansions 0.716 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.716 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in (x) around 0 0.717 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.717 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.717 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.728 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.728 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.728 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.736 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.736 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.736 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.737 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.744 * * * [progress]: simplifying candidates 0.744 * [simplify]: Simplifying using # : (expm1 (* (/ x 6.0) x)) (log1p (* (/ x 6.0) x)) (* (/ x 6.0) x) (+ (- (log x) (log 6.0)) (log x)) (+ (log (/ x 6.0)) (log x)) (log (* (/ x 6.0) x)) (exp (* (/ x 6.0) x)) (* (/ (* (* x x) x) (* (* 6.0 6.0) 6.0)) (* (* x x) x)) (* (* (* (/ x 6.0) (/ x 6.0)) (/ x 6.0)) (* (* x x) x)) (* (cbrt (* (/ x 6.0) x)) (cbrt (* (/ x 6.0) x))) (cbrt (* (/ x 6.0) x)) (* (* (* (/ x 6.0) x) (* (/ x 6.0) x)) (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)) (* (sqrt (/ x 6.0)) (sqrt x)) (* (sqrt (/ x 6.0)) (sqrt x)) (* (/ (sqrt x) (sqrt 6.0)) (sqrt x)) (* (/ (sqrt x) (sqrt 6.0)) (sqrt x)) (* (/ x 6.0) (* (cbrt x) (cbrt x))) (* (/ x 6.0) (sqrt x)) (* (/ x 6.0) 1) (* (cbrt (/ x 6.0)) x) (* (sqrt (/ x 6.0)) x) (* (/ (cbrt x) (cbrt 6.0)) x) (* (/ (cbrt x) (sqrt 6.0)) x) (* (/ (cbrt x) 6.0) x) (* (/ (sqrt x) (cbrt 6.0)) x) (* (/ (sqrt x) (sqrt 6.0)) x) (* (/ (sqrt x) 6.0) x) (* (/ x (cbrt 6.0)) x) (* (/ x (sqrt 6.0)) x) (* (/ x 6.0) x) (* (/ x 6.0) x) (* (/ 1 6.0) x) (* x x) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) 0.745 * [simplify]: Sending expressions to egg_math: (expm1 (* (/ h0 h1) h0)) (log1p (* (/ h0 h1) h0)) (* (/ h0 h1) h0) (+ (- (log h0) (log h1)) (log h0)) (+ (log (/ h0 h1)) (log h0)) (log (* (/ h0 h1) h0)) (exp (* (/ h0 h1) h0)) (* (/ (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h0 h0) h0)) (* (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1)) (* (* h0 h0) 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)) (* (sqrt (/ h0 h1)) (sqrt h0)) (* (sqrt (/ h0 h1)) (sqrt h0)) (* (/ (sqrt h0) (sqrt h1)) (sqrt h0)) (* (/ (sqrt h0) (sqrt h1)) (sqrt h0)) (* (/ h0 h1) (* (cbrt h0) (cbrt h0))) (* (/ h0 h1) (sqrt h0)) (* (/ h0 h1) 1) (* (cbrt (/ h0 h1)) h0) (* (sqrt (/ h0 h1)) h0) (* (/ (cbrt h0) (cbrt h1)) h0) (* (/ (cbrt h0) (sqrt h1)) h0) (* (/ (cbrt h0) h1) h0) (* (/ (sqrt h0) (cbrt h1)) h0) (* (/ (sqrt h0) (sqrt h1)) h0) (* (/ (sqrt h0) h1) h0) (* (/ h0 (cbrt h1)) h0) (* (/ h0 (sqrt h1)) h0) (* (/ h0 h1) h0) (* (/ h0 h1) h0) (* (/ 1 h1) h0) (* h0 h0) (* h2 (pow h0 2)) (* h2 (pow h0 2)) (* h2 (pow h0 2)) 0.748 * * [simplify]: iteration 0 : 151 enodes (cost 134 ) 0.751 * * [simplify]: iteration 1 : 539 enodes (cost 112 ) 0.762 * * [simplify]: iteration 2 : 2708 enodes (cost 112 ) 0.809 * * [simplify]: iteration 3 : 5001 enodes (cost 110 ) 0.810 * [simplify]: Simplified to: (expm1 (* (/ x 6.0) x)) (log1p (* (/ x 6.0) x)) (* (/ x 6.0) x) (log (* (/ x 6.0) x)) (log (* (/ x 6.0) x)) (log (* (/ x 6.0) x)) (exp (* (/ x 6.0) x)) (pow (* (/ x 6.0) x) 3) (pow (* (/ x 6.0) x) 3) (* (cbrt (* (/ x 6.0) x)) (cbrt (* (/ x 6.0) x))) (cbrt (* (/ x 6.0) x)) (pow (* (/ x 6.0) x) 3) (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)) (* (sqrt (/ x 6.0)) (sqrt x)) (* (sqrt (/ x 6.0)) (sqrt x)) (/ x (sqrt 6.0)) (/ x (sqrt 6.0)) (* (/ x 6.0) (* (cbrt x) (cbrt x))) (/ (pow x 3/2) 6.0) (/ x 6.0) (* (cbrt (/ x 6.0)) x) (* (sqrt (/ x 6.0)) x) (* (/ (cbrt x) (cbrt 6.0)) x) (* (/ (cbrt x) (sqrt 6.0)) x) (* (/ (cbrt x) 6.0) x) (* (/ (sqrt x) (cbrt 6.0)) x) (* (/ (sqrt x) (sqrt 6.0)) x) (/ (pow x 3/2) 6.0) (* (/ x (cbrt 6.0)) x) (* (/ x (sqrt 6.0)) x) (* (/ x 6.0) x) (* (/ x 6.0) x) (/ x 6.0) (pow x 2) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) 0.810 * * * [progress]: adding candidates to table 0.876 * [progress]: [Phase 3 of 3] Extracting. 0.876 * * [regime]: Finding splitpoints for: (# # #) 0.876 * * * [regime-changes]: Trying 2 branch expressions: ((* x x) x) 0.876 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.886 * * * * [regimes]: Trying to branch on x from (# # #) 0.900 * * * [regime]: Found split indices: #