4.899 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying: (+ x (* x x)) 0.012 * [simplify]: Sending expressions to egg_math: (+ h0 (* h0 h0)) 0.014 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 11 enodes (cost 2 ) 0.017 * * [simplify]: iteration 2 : 17 enodes (cost 2 ) 0.018 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [backup-simplify]: Simplify (+ x (* x x)) into (+ (pow x 2) x) 0.029 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [backup-simplify]: Simplify 0 into 0 0.029 * [backup-simplify]: Simplify 1 into 1 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [backup-simplify]: Simplify 0 into 0 0.029 * [backup-simplify]: Simplify 1 into 1 0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [backup-simplify]: Simplify 0 into 0 0.029 * [backup-simplify]: Simplify 1 into 1 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [backup-simplify]: Simplify 0 into 0 0.029 * [backup-simplify]: Simplify 1 into 1 0.029 * [backup-simplify]: Simplify (+ 0 0) into 0 0.029 * [backup-simplify]: Simplify 0 into 0 0.030 * [backup-simplify]: Simplify (+ 0 1) into 1 0.030 * [backup-simplify]: Simplify 1 into 1 0.030 * [backup-simplify]: Simplify (* 1 1) into 1 0.030 * [backup-simplify]: Simplify (+ 1 0) into 1 0.030 * [backup-simplify]: Simplify 1 into 1 0.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.031 * [backup-simplify]: Simplify (+ 0 0) into 0 0.031 * [backup-simplify]: Simplify 0 into 0 0.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.032 * [backup-simplify]: Simplify (+ 0 0) into 0 0.032 * [backup-simplify]: Simplify 0 into 0 0.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.032 * [backup-simplify]: Simplify (+ 0 0) into 0 0.032 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.033 * [backup-simplify]: Simplify (+ 0 0) into 0 0.033 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.034 * [backup-simplify]: Simplify (+ 0 0) into 0 0.034 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.035 * [backup-simplify]: Simplify (+ 0 0) into 0 0.035 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 0.036 * [backup-simplify]: Simplify (+ (/ 1 x) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (/ 1 x)) 0.036 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [backup-simplify]: Simplify (* 1 1) into 1 0.036 * [backup-simplify]: Simplify (/ 1 1) into 1 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.037 * [backup-simplify]: Simplify (/ 1 1) into 1 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [backup-simplify]: Simplify (* 1 1) into 1 0.037 * [backup-simplify]: Simplify (/ 1 1) into 1 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [backup-simplify]: Simplify (/ 1 1) into 1 0.038 * [backup-simplify]: Simplify (+ 1 0) into 1 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.039 * [backup-simplify]: Simplify (+ 0 1) into 1 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.040 * [backup-simplify]: Simplify (+ 0 0) into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify (+ 0 0) into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (+ 0 0) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.049 * [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 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 0.050 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (/ 1 (pow x 2)) (/ 1 x)) 0.050 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [backup-simplify]: Simplify (+ 1 0) into 1 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (- 1) into -1 0.053 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.053 * [backup-simplify]: Simplify -1 into -1 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (- 0) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- 0) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.065 * [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 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 0.066 * * * [progress]: simplifying candidates 0.066 * [simplify]: Simplifying: (* (exp x) (exp (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (- (* x x) (* (* x x) (* x x))) (- x (* x x)) (+ 1 x) (+ x 1) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.066 * [simplify]: Sending expressions to egg_math: (* (exp h0) (exp (* h0 h0))) (log (+ h0 (* h0 h0))) (exp (+ h0 (* h0 h0))) (* (cbrt (+ h0 (* h0 h0))) (cbrt (+ h0 (* h0 h0)))) (cbrt (+ h0 (* h0 h0))) (* (* (+ h0 (* h0 h0)) (+ h0 (* h0 h0))) (+ h0 (* h0 h0))) (sqrt (+ h0 (* h0 h0))) (sqrt (+ h0 (* h0 h0))) (+ (pow h0 3) (pow (* h0 h0) 3)) (+ (* h0 h0) (- (* (* h0 h0) (* h0 h0)) (* h0 (* h0 h0)))) (- (* h0 h0) (* (* h0 h0) (* h0 h0))) (- h0 (* h0 h0)) (+ 1 h0) (+ h0 1) (+ (pow h0 2) h0) (+ (pow h0 2) h0) (+ (pow h0 2) h0) 0.069 * * [simplify]: iteration 0 : 79 enodes (cost 58 ) 0.072 * * [simplify]: iteration 1 : 324 enodes (cost 50 ) 0.078 * * [simplify]: iteration 2 : 1105 enodes (cost 50 ) 0.108 * * [simplify]: iteration 3 : 5001 enodes (cost 50 ) 0.109 * * * [progress]: adding candidates to table 0.133 * * [progress]: iteration 2 / 4 0.133 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.157 * * * [progress]: generating series expansions 0.157 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.157 * [backup-simplify]: Simplify (* x (+ 1 x)) into (* x (+ x 1)) 0.157 * [approximate]: Taking taylor expansion of (* x (+ x 1)) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of 1 in x 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of 1 in x 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (+ 0 1) into 1 0.158 * [backup-simplify]: Simplify (* 0 1) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.158 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 0.165 * [backup-simplify]: Simplify (* (/ 1 x) (+ 1 (/ 1 x))) into (/ (+ (/ 1 x) 1) x) 0.165 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of 1 in x 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of 1 in x 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.177 * [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 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 0.178 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 1 (/ 1 (- x)))) into (* -1 (/ (- 1 (/ 1 x)) x)) 0.178 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 0.178 * [taylor]: Taking taylor expansion of -1 in x 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 0.178 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of 1 in x 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (- 1) into -1 0.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.179 * [backup-simplify]: Simplify (/ -1 1) into -1 0.179 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [backup-simplify]: Simplify -1 into -1 0.179 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 0.179 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of 1 in x 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (- 1) into -1 0.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.180 * [backup-simplify]: Simplify (/ -1 1) into -1 0.181 * [backup-simplify]: Simplify (* -1 -1) into 1 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 0.182 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 0.182 * [backup-simplify]: Simplify -1 into -1 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [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 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 0.196 * * * [progress]: simplifying candidates 0.197 * [simplify]: Simplifying: (* x (+ 1 x)) (+ (log x) (log (+ 1 x))) (log (* x (+ 1 x))) (exp (* x (+ 1 x))) (* (* (* x x) x) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) (* (cbrt (* x (+ 1 x))) (cbrt (* x (+ 1 x)))) (cbrt (* x (+ 1 x))) (* (* (* x (+ 1 x)) (* x (+ 1 x))) (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* x 1) (* x x) (* 1 x) (* x x) (* x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* x (sqrt (+ 1 x))) (* x 1) (* x 1) (* (cbrt x) (+ 1 x)) (* (sqrt x) (+ 1 x)) (* x (+ 1 x)) (* x (+ (pow 1 3) (pow x 3))) (* x (- (* 1 1) (* x x))) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.197 * [simplify]: Sending expressions to egg_math: (* h0 (+ 1 h0)) (+ (log h0) (log (+ 1 h0))) (log (* h0 (+ 1 h0))) (exp (* h0 (+ 1 h0))) (* (* (* h0 h0) h0) (* (* (+ 1 h0) (+ 1 h0)) (+ 1 h0))) (* (cbrt (* h0 (+ 1 h0))) (cbrt (* h0 (+ 1 h0)))) (cbrt (* h0 (+ 1 h0))) (* (* (* h0 (+ 1 h0)) (* h0 (+ 1 h0))) (* h0 (+ 1 h0))) (sqrt (* h0 (+ 1 h0))) (sqrt (* h0 (+ 1 h0))) (* (sqrt h0) (sqrt (+ 1 h0))) (* (sqrt h0) (sqrt (+ 1 h0))) (* h0 1) (* h0 h0) (* 1 h0) (* h0 h0) (* h0 (* (cbrt (+ 1 h0)) (cbrt (+ 1 h0)))) (* h0 (sqrt (+ 1 h0))) (* h0 1) (* h0 1) (* (cbrt h0) (+ 1 h0)) (* (sqrt h0) (+ 1 h0)) (* h0 (+ 1 h0)) (* h0 (+ (pow 1 3) (pow h0 3))) (* h0 (- (* 1 1) (* h0 h0))) (+ (pow h0 2) h0) (+ (pow h0 2) h0) (+ (pow h0 2) h0) 0.199 * * [simplify]: iteration 0 : 120 enodes (cost 81 ) 0.203 * * [simplify]: iteration 1 : 627 enodes (cost 71 ) 0.215 * * [simplify]: iteration 2 : 2861 enodes (cost 71 ) 0.271 * * [simplify]: iteration 3 : 5002 enodes (cost 71 ) 0.272 * * * [progress]: adding candidates to table 0.298 * [progress]: [Phase 3 of 3] Extracting. 0.299 * * [regime]: Finding splitpoints for: (# #) 0.299 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (* x x)) x) 0.299 * * * * [regimes]: Trying to branch on (+ x (* x x)) from (# #) 0.309 * * * * [regimes]: Trying to branch on x from (# #) 0.317 * * * [regime]: Found split indices: #