5.008 * [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. 0.013 * [simplify]: Simplifying: (/ (- (* x x) 3.0) 6.0) 0.013 * [simplify]: Sending expressions to egg_math: (/ (- (* h2 h2) h1) h0) 0.015 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.018 * * [simplify]: iteration 2 : 21 enodes (cost 3 ) 0.019 * * [simplify]: iteration 3 : 23 enodes (cost 3 ) 0.020 * * [simplify]: iteration 4 : 24 enodes (cost 3 ) 0.021 * * [simplify]: iteration 5 : 24 enodes (cost 3 ) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [backup-simplify]: Simplify (/ (- (* x x) 3.0) 6.0) into (* 0.16666666666666666 (- (pow x 2) 3.0)) 0.048 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (- (pow x 2) 3.0)) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (pow x 2) 3.0)) in x 0.048 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.048 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.048 * [taylor]: Taking taylor expansion of (- (pow x 2) 3.0) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of 3.0 in x 0.048 * [backup-simplify]: Simplify 3.0 into 3.0 0.048 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (pow x 2) 3.0)) in x 0.048 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.048 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.048 * [taylor]: Taking taylor expansion of (- (pow x 2) 3.0) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of 3.0 in x 0.049 * [backup-simplify]: Simplify 3.0 into 3.0 0.049 * [backup-simplify]: Simplify (- 3.0) into (- 3.0) 0.050 * [backup-simplify]: Simplify (+ 0 (- 3.0)) into (- 3.0) 0.050 * [backup-simplify]: Simplify (* 0.16666666666666666 (- 3.0)) into -0.5 0.050 * [backup-simplify]: Simplify -0.5 into -0.5 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 (- 3.0))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.052 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 1) (+ (* 0 0) (* 0 (- 3.0)))) into 0.16666666666666666 0.053 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- 3.0))))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- 3.0)))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- 3.0))))))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.059 * [backup-simplify]: Simplify (- 0) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- 3.0)))))))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- 3.0))))))))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.064 * [backup-simplify]: Simplify (- 0) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (- 3.0)))))))))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow x 2)) -0.5) into (- (* 0.16666666666666666 (pow x 2)) 0.5) 0.065 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) 3.0) 6.0) into (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) 0.065 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in x 0.065 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.065 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [taylor]: Taking taylor expansion of 3.0 in x 0.066 * [backup-simplify]: Simplify 3.0 into 3.0 0.066 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in x 0.066 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.066 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [taylor]: Taking taylor expansion of 3.0 in x 0.067 * [backup-simplify]: Simplify 3.0 into 3.0 0.067 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 0.067 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- 3.0) into (- 3.0) 0.074 * [backup-simplify]: Simplify (+ 0 (- 3.0)) into (- 3.0) 0.075 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (- 3.0)) (+ (* 0 0) (* 0 1))) into (- 0.5) 0.076 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1)))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1))))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1)))))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1))))))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1)))))))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1))))))))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (- 0.5) (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 2))) into (- (* 0.16666666666666666 (pow x 2)) 0.5) 0.092 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) 3.0) 6.0) into (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) 0.092 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in (x) around 0 0.092 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in x 0.092 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.092 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of 3.0 in x 0.093 * [backup-simplify]: Simplify 3.0 into 3.0 0.093 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (- (/ 1 (pow x 2)) 3.0)) in x 0.093 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.093 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.093 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 3.0) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of 3.0 in x 0.094 * [backup-simplify]: Simplify 3.0 into 3.0 0.094 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 0.094 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- 3.0) into (- 3.0) 0.097 * [backup-simplify]: Simplify (+ 0 (- 3.0)) into (- 3.0) 0.099 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (- 3.0)) (+ (* 0 0) (* 0 1))) into (- 0.5) 0.099 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1))))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1)))))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1))))))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1)))))))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 3.0)) (+ (* 0 0) (* 0 1))))))))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (- 0.5) (* 0.16666666666666666 (pow (/ 1 (/ 1 (- x))) 2))) into (- (* 0.16666666666666666 (pow x 2)) 0.5) 0.115 * * * [progress]: simplifying candidates 0.116 * [simplify]: Simplifying: (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)) (- (* 0.16666666666666666 (pow x 2)) 0.5) (- (* 0.16666666666666666 (pow x 2)) 0.5) (- (* 0.16666666666666666 (pow x 2)) 0.5) 0.116 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- (* h2 h2) h1) h0)) (log1p (/ (- (* h2 h2) h1) h0)) (- (log (- (* h2 h2) h1)) (log h0)) (log (/ (- (* h2 h2) h1) h0)) (exp (/ (- (* h2 h2) h1) h0)) (/ (* (* (- (* h2 h2) h1) (- (* h2 h2) h1)) (- (* h2 h2) h1)) (* (* h0 h0) h0)) (* (cbrt (/ (- (* h2 h2) h1) h0)) (cbrt (/ (- (* h2 h2) h1) h0))) (cbrt (/ (- (* h2 h2) h1) h0)) (* (* (/ (- (* h2 h2) h1) h0) (/ (- (* h2 h2) h1) h0)) (/ (- (* h2 h2) h1) h0)) (sqrt (/ (- (* h2 h2) h1) h0)) (sqrt (/ (- (* h2 h2) h1) h0)) (- (- (* h2 h2) h1)) (- h0) (/ (* h2 h2) h0) (/ h1 h0) (/ (* (cbrt (- (* h2 h2) h1)) (cbrt (- (* h2 h2) h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (- (* h2 h2) h1)) (cbrt h0)) (/ (* (cbrt (- (* h2 h2) h1)) (cbrt (- (* h2 h2) h1))) (sqrt h0)) (/ (cbrt (- (* h2 h2) h1)) (sqrt h0)) (/ (* (cbrt (- (* h2 h2) h1)) (cbrt (- (* h2 h2) h1))) 1) (/ (cbrt (- (* h2 h2) h1)) h0) (/ (sqrt (- (* h2 h2) h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- (* h2 h2) h1)) (cbrt h0)) (/ (sqrt (- (* h2 h2) h1)) (sqrt h0)) (/ (sqrt (- (* h2 h2) h1)) (sqrt h0)) (/ (sqrt (- (* h2 h2) h1)) 1) (/ (sqrt (- (* h2 h2) h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (- (* h2 h2) h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (- (* h2 h2) h1) (sqrt h0)) (/ 1 1) (/ (- (* h2 h2) h1) h0) (/ (+ h2 (sqrt h1)) (* (cbrt h0) (cbrt h0))) (/ (- h2 (sqrt h1)) (cbrt h0)) (/ (+ h2 (sqrt h1)) (sqrt h0)) (/ (- h2 (sqrt h1)) (sqrt h0)) (/ (+ h2 (sqrt h1)) 1) (/ (- h2 (sqrt h1)) h0) (/ 1 h0) (/ h0 (- (* h2 h2) h1)) (/ (- (* h2 h2) h1) (* (cbrt h0) (cbrt h0))) (/ (- (* h2 h2) h1) (sqrt h0)) (/ (- (* h2 h2) h1) 1) (/ h0 (cbrt (- (* h2 h2) h1))) (/ h0 (sqrt (- (* h2 h2) h1))) (/ h0 (- (* h2 h2) h1)) (/ h0 (- h2 (sqrt h1))) (* h0 (+ (* (* h2 h2) (* h2 h2)) (+ (* h1 h1) (* (* h2 h2) h1)))) (* h0 (+ (* h2 h2) h1)) (- (* h4 (pow h2 2)) h3) (- (* h4 (pow h2 2)) h3) (- (* h4 (pow h2 2)) h3) 0.119 * * [simplify]: iteration 0 : 182 enodes (cost 228 ) 0.123 * * [simplify]: iteration 1 : 585 enodes (cost 214 ) 0.132 * * [simplify]: iteration 2 : 2311 enodes (cost 212 ) 0.178 * * [simplify]: iteration 3 : 5001 enodes (cost 211 ) 0.180 * * * [progress]: adding candidates to table 0.245 * * [progress]: iteration 2 / 4 0.245 * * * [progress]: picking best candidate 0.249 * * * * [pick]: Picked # 0.249 * * * [progress]: localizing error 0.257 * * * [progress]: generating rewritten candidates 0.257 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.267 * * * [progress]: generating series expansions 0.267 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.268 * [backup-simplify]: Simplify (/ (* x x) 6.0) into (* 0.16666666666666666 (pow x 2)) 0.268 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.268 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.268 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 0.269 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow x 2)) into (* 0.16666666666666666 (pow x 2)) 0.276 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) 6.0) into (/ 0.16666666666666666 (pow x 2)) 0.276 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.276 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.277 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.277 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.278 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 2)) into (* 0.16666666666666666 (pow x 2)) 0.285 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) 6.0) into (/ 0.16666666666666666 (pow x 2)) 0.285 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.285 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.286 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.286 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.286 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 (/ 1 (- x))) 2)) into (* 0.16666666666666666 (pow x 2)) 0.293 * * * [progress]: simplifying candidates 0.294 * [simplify]: Simplifying: (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)) 0.294 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* h1 h1) h0)) (log1p (/ (* h1 h1) h0)) (- (+ (log h1) (log h1)) (log h0)) (- (log (* h1 h1)) (log h0)) (log (/ (* h1 h1) h0)) (exp (/ (* h1 h1) h0)) (/ (* (* (* h1 h1) h1) (* (* h1 h1) h1)) (* (* h0 h0) h0)) (/ (* (* (* h1 h1) (* h1 h1)) (* h1 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (* h1 h1) h0)) (cbrt (/ (* h1 h1) h0))) (cbrt (/ (* h1 h1) h0)) (* (* (/ (* h1 h1) h0) (/ (* h1 h1) h0)) (/ (* h1 h1) h0)) (sqrt (/ (* h1 h1) h0)) (sqrt (/ (* h1 h1) h0)) (- (* h1 h1)) (- h0) (/ h1 (* (cbrt h0) (cbrt h0))) (/ h1 (cbrt h0)) (/ h1 (sqrt h0)) (/ h1 (sqrt h0)) (/ h1 1) (/ h1 h0) (/ 1 h0) (/ h0 (* h1 h1)) (/ (* h1 h1) (* (cbrt h0) (cbrt h0))) (/ (* h1 h1) (sqrt h0)) (/ (* h1 h1) 1) (/ h0 h1) (* h2 (pow h1 2)) (* h2 (pow h1 2)) (* h2 (pow h1 2)) 0.296 * * [simplify]: iteration 0 : 109 enodes (cost 91 ) 0.299 * * [simplify]: iteration 1 : 467 enodes (cost 76 ) 0.306 * * [simplify]: iteration 2 : 2005 enodes (cost 76 ) 0.353 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.354 * * * [progress]: adding candidates to table 0.396 * * [progress]: iteration 3 / 4 0.396 * * * [progress]: picking best candidate 0.399 * * * * [pick]: Picked # 0.399 * * * [progress]: localizing error 0.405 * * * [progress]: generating rewritten candidates 0.405 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.419 * * * [progress]: generating series expansions 0.419 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.419 * [backup-simplify]: Simplify (* x (/ x 6.0)) into (* 0.16666666666666666 (pow x 2)) 0.419 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.419 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.419 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 0.420 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow x 2)) into (* 0.16666666666666666 (pow x 2)) 0.427 * [backup-simplify]: Simplify (* (/ 1 x) (/ (/ 1 x) 6.0)) into (/ 0.16666666666666666 (pow x 2)) 0.427 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.428 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.428 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.428 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.428 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.429 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 2)) into (* 0.16666666666666666 (pow x 2)) 0.439 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ (/ 1 (- x)) 6.0)) into (/ 0.16666666666666666 (pow x 2)) 0.439 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.439 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.440 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.440 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.441 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 (/ 1 (- x))) 2)) into (* 0.16666666666666666 (pow x 2)) 0.447 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying: (expm1 (* x (/ x 6.0))) (log1p (* x (/ x 6.0))) (* x (/ x 6.0)) (+ (log x) (- (log x) (log 6.0))) (+ (log x) (log (/ x 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 6.0) (/ x 6.0)) (/ x 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))) (* (sqrt 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))) (* x (* (cbrt (/ x 6.0)) (cbrt (/ x 6.0)))) (* x (sqrt (/ x 6.0))) (* x (/ (* (cbrt x) (cbrt x)) (* (cbrt 6.0) (cbrt 6.0)))) (* x (/ (* (cbrt x) (cbrt x)) (sqrt 6.0))) (* x (/ (* (cbrt x) (cbrt x)) 1)) (* x (/ (sqrt x) (* (cbrt 6.0) (cbrt 6.0)))) (* x (/ (sqrt x) (sqrt 6.0))) (* x (/ (sqrt x) 1)) (* x (/ 1 (* (cbrt 6.0) (cbrt 6.0)))) (* x (/ 1 (sqrt 6.0))) (* x (/ 1 1)) (* x 1) (* x x) (* (cbrt x) (/ x 6.0)) (* (sqrt x) (/ x 6.0)) (* x (/ x 6.0)) (* x x) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) 0.448 * [simplify]: Sending expressions to egg_math: (expm1 (* h1 (/ h1 h0))) (log1p (* h1 (/ h1 h0))) (* h1 (/ h1 h0)) (+ (log h1) (- (log h1) (log h0))) (+ (log h1) (log (/ h1 h0))) (log (* h1 (/ h1 h0))) (exp (* h1 (/ h1 h0))) (* (* (* h1 h1) h1) (/ (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* h1 h1) h1) (* (* (/ h1 h0) (/ h1 h0)) (/ h1 h0))) (* (cbrt (* h1 (/ h1 h0))) (cbrt (* h1 (/ h1 h0)))) (cbrt (* h1 (/ h1 h0))) (* (* (* h1 (/ h1 h0)) (* h1 (/ h1 h0))) (* h1 (/ h1 h0))) (sqrt (* h1 (/ h1 h0))) (sqrt (* h1 (/ h1 h0))) (* (sqrt h1) (sqrt (/ h1 h0))) (* (sqrt h1) (sqrt (/ h1 h0))) (* (sqrt h1) (/ (sqrt h1) (sqrt h0))) (* (sqrt h1) (/ (sqrt h1) (sqrt h0))) (* h1 (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0)))) (* h1 (sqrt (/ h1 h0))) (* h1 (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)))) (* h1 (/ (* (cbrt h1) (cbrt h1)) (sqrt h0))) (* h1 (/ (* (cbrt h1) (cbrt h1)) 1)) (* h1 (/ (sqrt h1) (* (cbrt h0) (cbrt h0)))) (* h1 (/ (sqrt h1) (sqrt h0))) (* h1 (/ (sqrt h1) 1)) (* h1 (/ 1 (* (cbrt h0) (cbrt h0)))) (* h1 (/ 1 (sqrt h0))) (* h1 (/ 1 1)) (* h1 1) (* h1 h1) (* (cbrt h1) (/ h1 h0)) (* (sqrt h1) (/ h1 h0)) (* h1 (/ h1 h0)) (* h1 h1) (* h2 (pow h1 2)) (* h2 (pow h1 2)) (* h2 (pow h1 2)) 0.451 * * [simplify]: iteration 0 : 164 enodes (cost 139 ) 0.455 * * [simplify]: iteration 1 : 782 enodes (cost 118 ) 0.473 * * [simplify]: iteration 2 : 5002 enodes (cost 118 ) 0.474 * * * [progress]: adding candidates to table 0.530 * * [progress]: iteration 4 / 4 0.530 * * * [progress]: picking best candidate 0.532 * * * * [pick]: Picked # 0.532 * * * [progress]: localizing error 0.539 * * * [progress]: generating rewritten candidates 0.539 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.569 * * * [progress]: generating series expansions 0.569 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.569 * [backup-simplify]: Simplify (* (* x x) (/ 1 6.0)) into (* 0.16666666666666666 (pow x 2)) 0.570 * [approximate]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.570 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of (* 0.16666666666666666 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.570 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (* 0.16666666666666666 1) into 0.16666666666666666 0.570 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (* 0 1))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow x 2)) into (* 0.16666666666666666 (pow x 2)) 0.578 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (/ 1 6.0)) into (/ 0.16666666666666666 (pow x 2)) 0.578 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.578 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.578 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.578 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.579 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.579 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.579 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.579 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 2)) into (* 0.16666666666666666 (pow x 2)) 0.587 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 6.0)) into (/ 0.16666666666666666 (pow x 2)) 0.587 * [approximate]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.587 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.587 * [taylor]: Taking taylor expansion of (/ 0.16666666666666666 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of 0.16666666666666666 in x 0.587 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (/ 0.16666666666666666 1) into 0.16666666666666666 0.588 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.16666666666666666 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 (/ 1 (- x))) 2)) into (* 0.16666666666666666 (pow x 2)) 0.595 * * * [progress]: simplifying candidates 0.596 * [simplify]: Simplifying: (expm1 (* (* x x) (/ 1 6.0))) (log1p (* (* x x) (/ 1 6.0))) (* (* x x) (/ 1 6.0)) (* (* x x) (/ 1 6.0)) (+ (+ (log x) (log x)) (- (log 6.0))) (+ (+ (log x) (log x)) (- 0 (log 6.0))) (+ (+ (log x) (log x)) (- (log 1) (log 6.0))) (+ (+ (log x) (log x)) (log (/ 1 6.0))) (+ (log (* x x)) (- (log 6.0))) (+ (log (* x x)) (- 0 (log 6.0))) (+ (log (* x x)) (- (log 1) (log 6.0))) (+ (log (* x x)) (log (/ 1 6.0))) (log (* (* x x) (/ 1 6.0))) (exp (* (* x x) (/ 1 6.0))) (* (* (* (* x x) x) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* 6.0 6.0) 6.0))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (/ 1 6.0) (/ 1 6.0)) (/ 1 6.0))) (* (* (* (* x x) (* x x)) (* x x)) (/ (* (* 1 1) 1) (* (* 6.0 6.0) 6.0))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (/ 1 6.0) (/ 1 6.0)) (/ 1 6.0))) (* (cbrt (* (* x x) (/ 1 6.0))) (cbrt (* (* x x) (/ 1 6.0)))) (cbrt (* (* x x) (/ 1 6.0))) (* (* (* (* x x) (/ 1 6.0)) (* (* x x) (/ 1 6.0))) (* (* x x) (/ 1 6.0))) (sqrt (* (* x x) (/ 1 6.0))) (sqrt (* (* x x) (/ 1 6.0))) (* x (sqrt (/ 1 6.0))) (* x (sqrt (/ 1 6.0))) (* x (/ (sqrt 1) (sqrt 6.0))) (* x (/ (sqrt 1) (sqrt 6.0))) (* x (/ 1 (sqrt 6.0))) (* x (/ 1 (sqrt 6.0))) (* (* x x) (* (cbrt (/ 1 6.0)) (cbrt (/ 1 6.0)))) (* (* x x) (sqrt (/ 1 6.0))) (* (* x x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 6.0) (cbrt 6.0)))) (* (* x x) (/ (* (cbrt 1) (cbrt 1)) (sqrt 6.0))) (* (* x x) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* x x) (/ (sqrt 1) (* (cbrt 6.0) (cbrt 6.0)))) (* (* x x) (/ (sqrt 1) (sqrt 6.0))) (* (* x x) (/ (sqrt 1) 1)) (* (* x x) (/ 1 (* (cbrt 6.0) (cbrt 6.0)))) (* (* x x) (/ 1 (sqrt 6.0))) (* (* x x) (/ 1 1)) (* (* x x) 1) (* (* x x) 1) (* x (/ 1 6.0)) (* (* x x) 1) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) (* 0.16666666666666666 (pow x 2)) 0.596 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h1 h1) (/ 1 h0))) (log1p (* (* h1 h1) (/ 1 h0))) (* (* h1 h1) (/ 1 h0)) (* (* h1 h1) (/ 1 h0)) (+ (+ (log h1) (log h1)) (- (log h0))) (+ (+ (log h1) (log h1)) (- 0 (log h0))) (+ (+ (log h1) (log h1)) (- (log 1) (log h0))) (+ (+ (log h1) (log h1)) (log (/ 1 h0))) (+ (log (* h1 h1)) (- (log h0))) (+ (log (* h1 h1)) (- 0 (log h0))) (+ (log (* h1 h1)) (- (log 1) (log h0))) (+ (log (* h1 h1)) (log (/ 1 h0))) (log (* (* h1 h1) (/ 1 h0))) (exp (* (* h1 h1) (/ 1 h0))) (* (* (* (* h1 h1) h1) (* (* h1 h1) h1)) (/ (* (* 1 1) 1) (* (* h0 h0) h0))) (* (* (* (* h1 h1) h1) (* (* h1 h1) h1)) (* (* (/ 1 h0) (/ 1 h0)) (/ 1 h0))) (* (* (* (* h1 h1) (* h1 h1)) (* h1 h1)) (/ (* (* 1 1) 1) (* (* h0 h0) h0))) (* (* (* (* h1 h1) (* h1 h1)) (* h1 h1)) (* (* (/ 1 h0) (/ 1 h0)) (/ 1 h0))) (* (cbrt (* (* h1 h1) (/ 1 h0))) (cbrt (* (* h1 h1) (/ 1 h0)))) (cbrt (* (* h1 h1) (/ 1 h0))) (* (* (* (* h1 h1) (/ 1 h0)) (* (* h1 h1) (/ 1 h0))) (* (* h1 h1) (/ 1 h0))) (sqrt (* (* h1 h1) (/ 1 h0))) (sqrt (* (* h1 h1) (/ 1 h0))) (* h1 (sqrt (/ 1 h0))) (* h1 (sqrt (/ 1 h0))) (* h1 (/ (sqrt 1) (sqrt h0))) (* h1 (/ (sqrt 1) (sqrt h0))) (* h1 (/ 1 (sqrt h0))) (* h1 (/ 1 (sqrt h0))) (* (* h1 h1) (* (cbrt (/ 1 h0)) (cbrt (/ 1 h0)))) (* (* h1 h1) (sqrt (/ 1 h0))) (* (* h1 h1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt h0) (cbrt h0)))) (* (* h1 h1) (/ (* (cbrt 1) (cbrt 1)) (sqrt h0))) (* (* h1 h1) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* h1 h1) (/ (sqrt 1) (* (cbrt h0) (cbrt h0)))) (* (* h1 h1) (/ (sqrt 1) (sqrt h0))) (* (* h1 h1) (/ (sqrt 1) 1)) (* (* h1 h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (* (* h1 h1) (/ 1 (sqrt h0))) (* (* h1 h1) (/ 1 1)) (* (* h1 h1) 1) (* (* h1 h1) 1) (* h1 (/ 1 h0)) (* (* h1 h1) 1) (* h2 (pow h1 2)) (* h2 (pow h1 2)) (* h2 (pow h1 2)) 0.599 * * [simplify]: iteration 0 : 251 enodes (cost 211 ) 0.605 * * [simplify]: iteration 1 : 1238 enodes (cost 167 ) 0.627 * * [simplify]: iteration 2 : 5002 enodes (cost 150 ) 0.629 * * * [progress]: adding candidates to table 0.690 * [progress]: [Phase 3 of 3] Extracting. 0.690 * * [regime]: Finding splitpoints for: (# # # #) 0.691 * * * [regime-changes]: Trying 2 branch expressions: ((* x x) x) 0.691 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.705 * * * * [regimes]: Trying to branch on x from (# # # #) 0.716 * * * [regime]: Found split indices: #